12.935 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.831 * * * [progress]: [2/2] Setting up program. 0.834 * [progress]: [Phase 2 of 3] Improving. 0.834 * [simplify]: Simplifying using # : (/ (- 1.0 (cos x)) (* x x)) 0.836 * * [simplify]: iteration 0 : 13 enodes (cost 4 ) 0.837 * * [simplify]: iteration 1 : 21 enodes (cost 4 ) 0.838 * * [simplify]: iteration 2 : 26 enodes (cost 4 ) 0.839 * * [simplify]: iteration 3 : 28 enodes (cost 4 ) 0.840 * * [simplify]: iteration 4 : 28 enodes (cost 4 ) 0.840 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (* x x)) 0.840 * * [progress]: iteration 1 / 4 0.840 * * * [progress]: picking best candidate 0.843 * * * * [pick]: Picked # 0.843 * * * [progress]: localizing error 0.849 * * * [progress]: generating rewritten candidates 0.849 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.856 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.860 * * * [progress]: generating series expansions 0.860 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.860 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.860 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.860 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.860 * [taylor]: Taking taylor expansion of 1.0 in x 0.860 * [taylor]: Taking taylor expansion of (cos x) in x 0.860 * [taylor]: Taking taylor expansion of x in x 0.860 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.860 * [taylor]: Taking taylor expansion of x in x 0.861 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.861 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.861 * [taylor]: Taking taylor expansion of 1.0 in x 0.861 * [taylor]: Taking taylor expansion of (cos x) in x 0.861 * [taylor]: Taking taylor expansion of x in x 0.861 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.861 * [taylor]: Taking taylor expansion of x in x 0.863 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.863 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.863 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.863 * [taylor]: Taking taylor expansion of x in x 0.863 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.863 * [taylor]: Taking taylor expansion of 1.0 in x 0.863 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.863 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.863 * [taylor]: Taking taylor expansion of x in x 0.863 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.863 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.863 * [taylor]: Taking taylor expansion of x in x 0.863 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.863 * [taylor]: Taking taylor expansion of 1.0 in x 0.863 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.863 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.863 * [taylor]: Taking taylor expansion of x in x 0.864 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.865 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.865 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.865 * [taylor]: Taking taylor expansion of 1.0 in x 0.865 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.865 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.865 * [taylor]: Taking taylor expansion of -1 in x 0.865 * [taylor]: Taking taylor expansion of x in x 0.865 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.865 * [taylor]: Taking taylor expansion of x in x 0.865 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.865 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.865 * [taylor]: Taking taylor expansion of 1.0 in x 0.865 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.865 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.865 * [taylor]: Taking taylor expansion of -1 in x 0.865 * [taylor]: Taking taylor expansion of x in x 0.865 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.865 * [taylor]: Taking taylor expansion of x in x 0.866 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.866 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.866 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.866 * [taylor]: Taking taylor expansion of 1.0 in x 0.866 * [taylor]: Taking taylor expansion of (cos x) in x 0.866 * [taylor]: Taking taylor expansion of x in x 0.866 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.866 * [taylor]: Taking taylor expansion of 1.0 in x 0.866 * [taylor]: Taking taylor expansion of (cos x) in x 0.866 * [taylor]: Taking taylor expansion of x in x 0.868 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.868 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.868 * [taylor]: Taking taylor expansion of 1.0 in x 0.868 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.868 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.868 * [taylor]: Taking taylor expansion of x in x 0.868 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.868 * [taylor]: Taking taylor expansion of 1.0 in x 0.868 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.868 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.868 * [taylor]: Taking taylor expansion of x in x 0.869 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.869 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.869 * [taylor]: Taking taylor expansion of 1.0 in x 0.869 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.869 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.869 * [taylor]: Taking taylor expansion of -1 in x 0.869 * [taylor]: Taking taylor expansion of x in x 0.869 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.869 * [taylor]: Taking taylor expansion of 1.0 in x 0.869 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.869 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.869 * [taylor]: Taking taylor expansion of -1 in x 0.869 * [taylor]: Taking taylor expansion of x in x 0.869 * * * [progress]: simplifying candidates 0.870 * [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)) (- (+ (* 1/720 (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)) 0.873 * * [simplify]: iteration 0 : 221 enodes (cost 271 ) 0.877 * * [simplify]: iteration 1 : 735 enodes (cost 239 ) 0.888 * * [simplify]: iteration 2 : 2396 enodes (cost 239 ) 0.928 * * [simplify]: iteration 3 : 5002 enodes (cost 239 ) 0.930 * [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))) (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))) (* (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (pow x 2)) (* (* 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) (+ (cos x) 1.0)) (* 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)) (- (+ (* 1/720 (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)) 0.930 * * * [progress]: adding candidates to table 1.000 * * [progress]: iteration 2 / 4 1.000 * * * [progress]: picking best candidate 1.034 * * * * [pick]: Picked # 1.035 * * * [progress]: localizing error 1.042 * * * [progress]: generating rewritten candidates 1.042 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1) 1.045 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 1.051 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 1.068 * * * [progress]: generating series expansions 1.068 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1) 1.068 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.068 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.068 * [taylor]: Taking taylor expansion of 1.0 in x 1.068 * [taylor]: Taking taylor expansion of (cos x) in x 1.068 * [taylor]: Taking taylor expansion of x in x 1.068 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.068 * [taylor]: Taking taylor expansion of 1.0 in x 1.068 * [taylor]: Taking taylor expansion of (cos x) in x 1.068 * [taylor]: Taking taylor expansion of x in x 1.070 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.070 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.070 * [taylor]: Taking taylor expansion of 1.0 in x 1.070 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.070 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.070 * [taylor]: Taking taylor expansion of x in x 1.070 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.070 * [taylor]: Taking taylor expansion of 1.0 in x 1.070 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.070 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.070 * [taylor]: Taking taylor expansion of x in x 1.070 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.070 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.070 * [taylor]: Taking taylor expansion of 1.0 in x 1.070 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.070 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.070 * [taylor]: Taking taylor expansion of -1 in x 1.070 * [taylor]: Taking taylor expansion of x in x 1.070 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.070 * [taylor]: Taking taylor expansion of 1.0 in x 1.070 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.070 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.070 * [taylor]: Taking taylor expansion of -1 in x 1.070 * [taylor]: Taking taylor expansion of x in x 1.071 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 1.071 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in (x) around 0 1.071 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 1.071 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.071 * [taylor]: Taking taylor expansion of 1.0 in x 1.071 * [taylor]: Taking taylor expansion of (cos x) in x 1.071 * [taylor]: Taking taylor expansion of x in x 1.071 * [taylor]: Taking taylor expansion of x in x 1.071 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 1.071 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.071 * [taylor]: Taking taylor expansion of 1.0 in x 1.071 * [taylor]: Taking taylor expansion of (cos x) in x 1.071 * [taylor]: Taking taylor expansion of x in x 1.071 * [taylor]: Taking taylor expansion of x in x 1.073 * [approximate]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in (x) around 0 1.073 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 1.073 * [taylor]: Taking taylor expansion of x in x 1.073 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.073 * [taylor]: Taking taylor expansion of 1.0 in x 1.073 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.073 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.073 * [taylor]: Taking taylor expansion of x in x 1.073 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 1.073 * [taylor]: Taking taylor expansion of x in x 1.073 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.073 * [taylor]: Taking taylor expansion of 1.0 in x 1.073 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.073 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.073 * [taylor]: Taking taylor expansion of x in x 1.074 * [approximate]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in (x) around 0 1.074 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 1.074 * [taylor]: Taking taylor expansion of -1 in x 1.074 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 1.074 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.074 * [taylor]: Taking taylor expansion of 1.0 in x 1.074 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.074 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.074 * [taylor]: Taking taylor expansion of -1 in x 1.074 * [taylor]: Taking taylor expansion of x in x 1.074 * [taylor]: Taking taylor expansion of x in x 1.074 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 1.074 * [taylor]: Taking taylor expansion of -1 in x 1.074 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 1.074 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.074 * [taylor]: Taking taylor expansion of 1.0 in x 1.074 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.074 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.074 * [taylor]: Taking taylor expansion of -1 in x 1.074 * [taylor]: Taking taylor expansion of x in x 1.074 * [taylor]: Taking taylor expansion of x in x 1.076 * * * * [progress]: [ 3 / 3 ] generating series at (2) 1.076 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 1.076 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 1.076 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.076 * [taylor]: Taking taylor expansion of 1.0 in x 1.076 * [taylor]: Taking taylor expansion of (cos x) in x 1.076 * [taylor]: Taking taylor expansion of x in x 1.076 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.076 * [taylor]: Taking taylor expansion of x in x 1.076 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 1.076 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.076 * [taylor]: Taking taylor expansion of 1.0 in x 1.076 * [taylor]: Taking taylor expansion of (cos x) in x 1.076 * [taylor]: Taking taylor expansion of x in x 1.076 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.076 * [taylor]: Taking taylor expansion of x in x 1.078 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 1.078 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 1.078 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.079 * [taylor]: Taking taylor expansion of x in x 1.079 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.079 * [taylor]: Taking taylor expansion of 1.0 in x 1.079 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.079 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.079 * [taylor]: Taking taylor expansion of x in x 1.079 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 1.079 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.079 * [taylor]: Taking taylor expansion of x in x 1.079 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.079 * [taylor]: Taking taylor expansion of 1.0 in x 1.079 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.079 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.079 * [taylor]: Taking taylor expansion of x in x 1.082 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 1.082 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 1.082 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.082 * [taylor]: Taking taylor expansion of 1.0 in x 1.082 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.082 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.082 * [taylor]: Taking taylor expansion of -1 in x 1.082 * [taylor]: Taking taylor expansion of x in x 1.082 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.082 * [taylor]: Taking taylor expansion of x in x 1.082 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 1.082 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.082 * [taylor]: Taking taylor expansion of 1.0 in x 1.082 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.082 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.082 * [taylor]: Taking taylor expansion of -1 in x 1.082 * [taylor]: Taking taylor expansion of x in x 1.082 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.082 * [taylor]: Taking taylor expansion of x in x 1.084 * * * [progress]: simplifying candidates 1.085 * [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)) (- (log (- 1.0 (cos x))) (log x)) (log (/ (- 1.0 (cos x)) x)) (exp (/ (- 1.0 (cos x)) x)) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* x x) x)) (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) (cbrt (/ (- 1.0 (cos x)) x)) (* (* (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x)) (/ (- 1.0 (cos x)) x)) (sqrt (/ (- 1.0 (cos x)) x)) (sqrt (/ (- 1.0 (cos x)) x)) (neg (- 1.0 (cos x))) (neg x) (/ 1.0 x) (/ (cos x) x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) (/ (cbrt (- 1.0 (cos x))) (sqrt x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) 1) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (sqrt x)) (/ 1 1) (/ (- 1.0 (cos x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) 1) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (sqrt x)) (/ 1 1) (/ (- 1.0 (cos x)) x) (/ 1 x) (/ x (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (sqrt x)) (/ (- 1.0 (cos x)) 1) (/ x (cbrt (- 1.0 (cos x)))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (- 1.0 (cos x))) (/ x (- (sqrt 1.0) (sqrt (cos x)))) (/ x (- 1.0 (cos x))) (* x (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (* x (+ 1.0 (cos x))) (* (/ 1 x) (/ (- 1.0 (cos x)) x)) (+ (neg (log x)) (- (log (- 1.0 (cos x))) (log x))) (+ (neg (log x)) (log (/ (- 1.0 (cos x)) x))) (+ (- 0 (log x)) (- (log (- 1.0 (cos x))) (log x))) (+ (- 0 (log x)) (log (/ (- 1.0 (cos x)) x))) (+ (- (log 1) (log x)) (- (log (- 1.0 (cos x))) (log x))) (+ (- (log 1) (log x)) (log (/ (- 1.0 (cos x)) x))) (+ (log (/ 1 x)) (- (log (- 1.0 (cos x))) (log x))) (+ (log (/ 1 x)) (log (/ (- 1.0 (cos x)) x))) (log (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (exp (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (* (/ (* (* 1 1) 1) (* (* x x) x)) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* x x) x))) (* (/ (* (* 1 1) 1) (* (* x x) x)) (* (* (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x)) (/ (- 1.0 (cos x)) x))) (* (* (* (/ 1 x) (/ 1 x)) (/ 1 x)) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* x x) x))) (* (* (* (/ 1 x) (/ 1 x)) (/ 1 x)) (* (* (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x)) (/ (- 1.0 (cos x)) x))) (* (cbrt (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (cbrt (* (/ 1 x) (/ (- 1.0 (cos x)) x)))) (cbrt (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (* (* (* (/ 1 x) (/ (- 1.0 (cos x)) x)) (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (sqrt (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (sqrt (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (* 1 (- 1.0 (cos x))) (* x x) (* (sqrt (/ 1 x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (sqrt (/ 1 x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (sqrt (/ 1 x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (sqrt (/ 1 x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (/ (sqrt 1) (sqrt x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (/ (sqrt 1) (sqrt x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (/ (sqrt 1) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (/ (sqrt 1) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (/ 1 (sqrt x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (/ 1 (sqrt x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (/ 1 x) (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x)))) (* (/ 1 x) (sqrt (/ (- 1.0 (cos x)) x))) (* (/ 1 x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x)))) (* (/ 1 x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x))) (* (/ 1 x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1)) (* (/ 1 x) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x)))) (* (/ 1 x) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (/ 1 x) (/ (sqrt (- 1.0 (cos x))) 1)) (* (/ 1 x) (/ 1 (* (cbrt x) (cbrt x)))) (* (/ 1 x) (/ 1 (sqrt x))) (* (/ 1 x) (/ 1 1)) (* (/ 1 x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x)))) (* (/ 1 x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x))) (* (/ 1 x) (/ (+ (sqrt 1.0) (sqrt (cos x))) 1)) (* (/ 1 x) (/ 1 (* (cbrt x) (cbrt x)))) (* (/ 1 x) (/ 1 (sqrt x))) (* (/ 1 x) (/ 1 1)) (* (/ 1 x) 1) (* (/ 1 x) (- 1.0 (cos x))) (* (cbrt (/ 1 x)) (/ (- 1.0 (cos x)) x)) (* (sqrt (/ 1 x)) (/ (- 1.0 (cos x)) x)) (* (/ (cbrt 1) (cbrt x)) (/ (- 1.0 (cos x)) x)) (* (/ (cbrt 1) (sqrt x)) (/ (- 1.0 (cos x)) x)) (* (/ (cbrt 1) x) (/ (- 1.0 (cos x)) x)) (* (/ (sqrt 1) (cbrt x)) (/ (- 1.0 (cos x)) x)) (* (/ (sqrt 1) (sqrt x)) (/ (- 1.0 (cos x)) x)) (* (/ (sqrt 1) x) (/ (- 1.0 (cos x)) x)) (* (/ 1 (cbrt x)) (/ (- 1.0 (cos x)) x)) (* (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) x)) (* (/ 1 x) (/ (- 1.0 (cos x)) x)) (* (/ 1 x) (/ (- 1.0 (cos x)) x)) (* (/ 1 x) (/ (- 1.0 (cos x)) x)) (* (/ 1 x) (- 1.0 (cos x))) (* 1 (/ (- 1.0 (cos 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)) (- (+ (* 1/2 x) (* 1/720 (pow x 5))) (* 1/24 (pow x 3))) (/ (- 1.0 (cos x)) x) (* -1 (/ (- (cos x) 1.0) 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)) 1.091 * * [simplify]: iteration 0 : 521 enodes (cost 814 ) 1.100 * * [simplify]: iteration 1 : 2334 enodes (cost 726 ) 1.139 * * [simplify]: iteration 2 : 5001 enodes (cost 690 ) 1.144 * [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) (+ (cos x) 1.0)) (* 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)) (log (/ (- 1.0 (cos x)) x)) (log (/ (- 1.0 (cos x)) x)) (exp (/ (- 1.0 (cos x)) x)) (pow (/ (- 1.0 (cos x)) x) 3) (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) (cbrt (/ (- 1.0 (cos x)) x)) (pow (/ (- 1.0 (cos x)) x) 3) (sqrt (/ (- 1.0 (cos x)) x)) (sqrt (/ (- 1.0 (cos x)) x)) (neg (- 1.0 (cos x))) (neg x) (/ 1.0 x) (/ (cos x) x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) (/ (cbrt (- 1.0 (cos x))) (pow x 1/2)) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (sqrt x)) 1 (/ (- 1.0 (cos x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (+ (sqrt 1.0) (sqrt (cos x))) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (sqrt x)) 1 (/ (- 1.0 (cos x)) x) (/ 1 x) (/ x (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (sqrt x)) (- 1.0 (cos x)) (/ x (cbrt (- 1.0 (cos x)))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (- 1.0 (cos x))) (/ x (- (sqrt 1.0) (sqrt (cos x)))) (/ x (- 1.0 (cos x))) (* (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) x) (* x (+ 1.0 (cos x))) (/ (- 1.0 (cos x)) (pow x 2)) (log (/ (- 1.0 (cos x)) (pow x 2))) (log (/ (- 1.0 (cos x)) (pow x 2))) (log (/ (- 1.0 (cos x)) (pow x 2))) (log (/ (- 1.0 (cos x)) (pow x 2))) (log (/ (- 1.0 (cos x)) (pow x 2))) (log (/ (- 1.0 (cos x)) (pow x 2))) (log (/ (- 1.0 (cos x)) (pow x 2))) (log (/ (- 1.0 (cos x)) (pow x 2))) (log (/ (- 1.0 (cos x)) (pow x 2))) (exp (/ (- 1.0 (cos x)) (pow x 2))) (pow (/ (/ (- 1.0 (cos x)) x) x) 3) (pow (/ (/ (- 1.0 (cos x)) x) x) 3) (pow (/ (/ (- 1.0 (cos x)) x) x) 3) (pow (/ (/ (- 1.0 (cos x)) x) x) 3) (* (cbrt (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (cbrt (* (/ 1 x) (/ (- 1.0 (cos x)) x)))) (cbrt (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (pow (/ (/ (- 1.0 (cos x)) x) x) 3) (sqrt (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (sqrt (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (- 1.0 (cos x)) (pow x 2) (* (sqrt (/ 1 x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (sqrt (/ 1 x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (sqrt (/ 1 x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (sqrt (/ 1 x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (/ (sqrt (/ (- 1.0 (cos x)) x)) (pow x 1/2)) (/ (sqrt (/ (- 1.0 (cos x)) x)) (pow x 1/2)) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (/ (- 1.0 (cos x)) x)) (pow x 1/2)) (/ (sqrt (/ (- 1.0 (cos x)) x)) (pow x 1/2)) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (* (/ 1 x) (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x)))) (* (/ 1 x) (sqrt (/ (- 1.0 (cos x)) x))) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) x) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) x) (/ (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) x) (/ (sqrt (- 1.0 (cos x))) (* (sqrt x) x)) (/ (sqrt (- 1.0 (cos x))) x) (/ (/ 1 x) (* (cbrt x) (cbrt x))) (/ (/ 1 x) (sqrt x)) (/ 1 x) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (sqrt x) x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) x) (/ (/ 1 x) (* (cbrt x) (cbrt x))) (/ (/ 1 x) (sqrt x)) (/ 1 x) (/ 1 x) (/ (- 1.0 (cos x)) x) (* (cbrt (/ 1 x)) (/ (- 1.0 (cos x)) x)) (* (sqrt (/ 1 x)) (/ (- 1.0 (cos x)) x)) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (- 1.0 (cos x)) (pow x 2)) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (- 1.0 (cos x)) (pow x 2)) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos 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)) (- (+ (* 1/2 x) (* 1/720 (pow x 5))) (* 1/24 (pow x 3))) (/ (- 1.0 (cos x)) x) (* -1 (/ (- (cos x) 1.0) 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)) 1.144 * * * [progress]: adding candidates to table 1.264 * * [progress]: iteration 3 / 4 1.264 * * * [progress]: picking best candidate 1.300 * * * * [pick]: Picked # 1.301 * * * [progress]: localizing error 1.308 * * * [progress]: generating rewritten candidates 1.308 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 1.312 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 1.315 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.321 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.333 * * * [progress]: generating series expansions 1.333 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 1.333 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.333 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.333 * [taylor]: Taking taylor expansion of 1.0 in x 1.333 * [taylor]: Taking taylor expansion of (cos x) in x 1.333 * [taylor]: Taking taylor expansion of x in x 1.333 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.333 * [taylor]: Taking taylor expansion of 1.0 in x 1.333 * [taylor]: Taking taylor expansion of (cos x) in x 1.333 * [taylor]: Taking taylor expansion of x in x 1.335 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.335 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.335 * [taylor]: Taking taylor expansion of 1.0 in x 1.335 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.335 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.335 * [taylor]: Taking taylor expansion of x in x 1.335 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.335 * [taylor]: Taking taylor expansion of 1.0 in x 1.335 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.335 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.335 * [taylor]: Taking taylor expansion of x in x 1.336 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.336 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.336 * [taylor]: Taking taylor expansion of 1.0 in x 1.336 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.336 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.336 * [taylor]: Taking taylor expansion of -1 in x 1.336 * [taylor]: Taking taylor expansion of x in x 1.336 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.336 * [taylor]: Taking taylor expansion of 1.0 in x 1.336 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.336 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.336 * [taylor]: Taking taylor expansion of -1 in x 1.336 * [taylor]: Taking taylor expansion of x in x 1.336 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 1.336 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.336 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.336 * [taylor]: Taking taylor expansion of 1.0 in x 1.336 * [taylor]: Taking taylor expansion of (cos x) in x 1.336 * [taylor]: Taking taylor expansion of x in x 1.336 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.336 * [taylor]: Taking taylor expansion of 1.0 in x 1.336 * [taylor]: Taking taylor expansion of (cos x) in x 1.336 * [taylor]: Taking taylor expansion of x in x 1.338 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.338 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.338 * [taylor]: Taking taylor expansion of 1.0 in x 1.338 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.338 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.338 * [taylor]: Taking taylor expansion of x in x 1.338 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.338 * [taylor]: Taking taylor expansion of 1.0 in x 1.338 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.338 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.338 * [taylor]: Taking taylor expansion of x in x 1.338 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.339 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.339 * [taylor]: Taking taylor expansion of 1.0 in x 1.339 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.339 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.339 * [taylor]: Taking taylor expansion of -1 in x 1.339 * [taylor]: Taking taylor expansion of x in x 1.339 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.339 * [taylor]: Taking taylor expansion of 1.0 in x 1.339 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.339 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.339 * [taylor]: Taking taylor expansion of -1 in x 1.339 * [taylor]: Taking taylor expansion of x in x 1.339 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.339 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in (x) around 0 1.339 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 1.339 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 1.339 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.339 * [taylor]: Taking taylor expansion of 1.0 in x 1.339 * [taylor]: Taking taylor expansion of (cos x) in x 1.339 * [taylor]: Taking taylor expansion of x in x 1.340 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.340 * [taylor]: Taking taylor expansion of x in x 1.340 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 1.340 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 1.340 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.340 * [taylor]: Taking taylor expansion of 1.0 in x 1.340 * [taylor]: Taking taylor expansion of (cos x) in x 1.340 * [taylor]: Taking taylor expansion of x in x 1.340 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.341 * [taylor]: Taking taylor expansion of x in x 1.343 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in (x) around 0 1.343 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 1.343 * [taylor]: Taking taylor expansion of x in x 1.343 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 1.343 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.343 * [taylor]: Taking taylor expansion of 1.0 in x 1.343 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.343 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.343 * [taylor]: Taking taylor expansion of x in x 1.343 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 1.343 * [taylor]: Taking taylor expansion of x in x 1.343 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 1.343 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.343 * [taylor]: Taking taylor expansion of 1.0 in x 1.344 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.344 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.344 * [taylor]: Taking taylor expansion of x in x 1.345 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in (x) around 0 1.345 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 1.345 * [taylor]: Taking taylor expansion of -1 in x 1.345 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 1.345 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 1.345 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.345 * [taylor]: Taking taylor expansion of 1.0 in x 1.345 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.345 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.345 * [taylor]: Taking taylor expansion of -1 in x 1.345 * [taylor]: Taking taylor expansion of x in x 1.346 * [taylor]: Taking taylor expansion of x in x 1.346 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 1.346 * [taylor]: Taking taylor expansion of -1 in x 1.346 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 1.346 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 1.346 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.346 * [taylor]: Taking taylor expansion of 1.0 in x 1.346 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.346 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.346 * [taylor]: Taking taylor expansion of -1 in x 1.346 * [taylor]: Taking taylor expansion of x in x 1.346 * [taylor]: Taking taylor expansion of x in x 1.348 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.348 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in (x) around 0 1.348 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 1.348 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 1.348 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.348 * [taylor]: Taking taylor expansion of 1.0 in x 1.348 * [taylor]: Taking taylor expansion of (cos x) in x 1.348 * [taylor]: Taking taylor expansion of x in x 1.348 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.348 * [taylor]: Taking taylor expansion of x in x 1.348 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 1.349 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 1.349 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.349 * [taylor]: Taking taylor expansion of 1.0 in x 1.349 * [taylor]: Taking taylor expansion of (cos x) in x 1.349 * [taylor]: Taking taylor expansion of x in x 1.349 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.349 * [taylor]: Taking taylor expansion of x in x 1.351 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in (x) around 0 1.351 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 1.351 * [taylor]: Taking taylor expansion of x in x 1.352 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 1.352 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.352 * [taylor]: Taking taylor expansion of 1.0 in x 1.352 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.352 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.352 * [taylor]: Taking taylor expansion of x in x 1.352 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 1.352 * [taylor]: Taking taylor expansion of x in x 1.352 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 1.352 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.352 * [taylor]: Taking taylor expansion of 1.0 in x 1.352 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.352 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.352 * [taylor]: Taking taylor expansion of x in x 1.354 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in (x) around 0 1.354 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 1.354 * [taylor]: Taking taylor expansion of -1 in x 1.354 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 1.354 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 1.354 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.354 * [taylor]: Taking taylor expansion of 1.0 in x 1.354 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.354 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.354 * [taylor]: Taking taylor expansion of -1 in x 1.354 * [taylor]: Taking taylor expansion of x in x 1.354 * [taylor]: Taking taylor expansion of x in x 1.354 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 1.354 * [taylor]: Taking taylor expansion of -1 in x 1.354 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 1.354 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 1.354 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.354 * [taylor]: Taking taylor expansion of 1.0 in x 1.354 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.354 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.354 * [taylor]: Taking taylor expansion of -1 in x 1.354 * [taylor]: Taking taylor expansion of x in x 1.354 * [taylor]: Taking taylor expansion of x in x 1.356 * * * [progress]: simplifying candidates 1.358 * [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 (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)) (neg (sqrt (- 1.0 (cos x)))) (neg 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)) (neg (sqrt (- 1.0 (cos x)))) (neg 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)) 1.364 * * [simplify]: iteration 0 : 242 enodes (cost 1020 ) 1.368 * * [simplify]: iteration 1 : 706 enodes (cost 972 ) 1.380 * * [simplify]: iteration 2 : 2954 enodes (cost 960 ) 1.449 * * [simplify]: iteration 3 : 5002 enodes (cost 960 ) 1.455 * [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) (+ (cos x) 1.0)) (* 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 (- 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) (+ (cos x) 1.0)) (* 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)) (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)) (neg (sqrt (- 1.0 (cos x)))) (neg 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) 1)) (/ (sqrt (cbrt (- 1.0 (cos x)))) (pow x 1/2)) (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)))) (pow x 1/2)) (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)))) (* 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))) 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)) (neg (sqrt (- 1.0 (cos x)))) (neg 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) 1)) (/ (sqrt (cbrt (- 1.0 (cos x)))) (pow x 1/2)) (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)))) (pow x 1/2)) (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)))) (* 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)) (* 1/2304 (/ (pow x 4) (sqrt 1/2)))) (* 1/48 (/ (pow x 2) (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)) (* 1/2304 (/ (pow x 4) (sqrt 1/2)))) (* 1/48 (/ (pow x 2) (sqrt 1/2)))) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) 1.456 * * * [progress]: adding candidates to table 1.652 * * [progress]: iteration 4 / 4 1.652 * * * [progress]: picking best candidate 1.683 * * * * [pick]: Picked # 1.683 * * * [progress]: localizing error 1.696 * * * [progress]: generating rewritten candidates 1.696 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 1.700 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2) 1.701 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 2) 1.702 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1) 1.704 * * * [progress]: generating series expansions 1.704 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 1.704 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.704 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.704 * [taylor]: Taking taylor expansion of 1.0 in x 1.704 * [taylor]: Taking taylor expansion of (cos x) in x 1.704 * [taylor]: Taking taylor expansion of x in x 1.704 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.704 * [taylor]: Taking taylor expansion of 1.0 in x 1.704 * [taylor]: Taking taylor expansion of (cos x) in x 1.704 * [taylor]: Taking taylor expansion of x in x 1.706 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.706 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.706 * [taylor]: Taking taylor expansion of 1.0 in x 1.706 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.706 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.706 * [taylor]: Taking taylor expansion of x in x 1.706 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.706 * [taylor]: Taking taylor expansion of 1.0 in x 1.706 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.706 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.706 * [taylor]: Taking taylor expansion of x in x 1.707 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.707 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.707 * [taylor]: Taking taylor expansion of 1.0 in x 1.707 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.707 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.707 * [taylor]: Taking taylor expansion of -1 in x 1.707 * [taylor]: Taking taylor expansion of x in x 1.707 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.707 * [taylor]: Taking taylor expansion of 1.0 in x 1.707 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.707 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.707 * [taylor]: Taking taylor expansion of -1 in x 1.707 * [taylor]: Taking taylor expansion of x in x 1.707 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2) 1.707 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 1.707 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.707 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.707 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.707 * [taylor]: Taking taylor expansion of 1/3 in x 1.707 * [taylor]: Taking taylor expansion of (log x) in x 1.707 * [taylor]: Taking taylor expansion of x in x 1.708 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.708 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.708 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.708 * [taylor]: Taking taylor expansion of 1/3 in x 1.708 * [taylor]: Taking taylor expansion of (log x) in x 1.708 * [taylor]: Taking taylor expansion of x in x 1.715 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 1.715 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.715 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.715 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.715 * [taylor]: Taking taylor expansion of 1/3 in x 1.715 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.715 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.715 * [taylor]: Taking taylor expansion of x in x 1.715 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.715 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.715 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.715 * [taylor]: Taking taylor expansion of 1/3 in x 1.715 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.715 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.715 * [taylor]: Taking taylor expansion of x in x 1.721 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 1.721 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.721 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.721 * [taylor]: Taking taylor expansion of -1 in x 1.722 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.722 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.722 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.722 * [taylor]: Taking taylor expansion of 1/3 in x 1.722 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.722 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.722 * [taylor]: Taking taylor expansion of x in x 1.722 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.722 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.722 * [taylor]: Taking taylor expansion of -1 in x 1.722 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.722 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.722 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.722 * [taylor]: Taking taylor expansion of 1/3 in x 1.722 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.722 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.722 * [taylor]: Taking taylor expansion of x in x 1.730 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 2) 1.730 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 1.730 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.730 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.730 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.730 * [taylor]: Taking taylor expansion of 1/3 in x 1.730 * [taylor]: Taking taylor expansion of (log x) in x 1.730 * [taylor]: Taking taylor expansion of x in x 1.730 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.730 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.731 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.731 * [taylor]: Taking taylor expansion of 1/3 in x 1.731 * [taylor]: Taking taylor expansion of (log x) in x 1.731 * [taylor]: Taking taylor expansion of x in x 1.736 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 1.736 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.736 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.736 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.736 * [taylor]: Taking taylor expansion of 1/3 in x 1.736 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.736 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.736 * [taylor]: Taking taylor expansion of x in x 1.737 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.737 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.737 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.737 * [taylor]: Taking taylor expansion of 1/3 in x 1.737 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.737 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.737 * [taylor]: Taking taylor expansion of x in x 1.743 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 1.743 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.743 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.743 * [taylor]: Taking taylor expansion of -1 in x 1.743 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.743 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.743 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.743 * [taylor]: Taking taylor expansion of 1/3 in x 1.743 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.743 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.743 * [taylor]: Taking taylor expansion of x in x 1.743 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.743 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.743 * [taylor]: Taking taylor expansion of -1 in x 1.744 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.744 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.744 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.744 * [taylor]: Taking taylor expansion of 1/3 in x 1.744 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.744 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.744 * [taylor]: Taking taylor expansion of x in x 1.752 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1) 1.752 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 1.752 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.752 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.752 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.752 * [taylor]: Taking taylor expansion of 1/3 in x 1.752 * [taylor]: Taking taylor expansion of (log x) in x 1.752 * [taylor]: Taking taylor expansion of x in x 1.752 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.752 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.752 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.752 * [taylor]: Taking taylor expansion of 1/3 in x 1.752 * [taylor]: Taking taylor expansion of (log x) in x 1.752 * [taylor]: Taking taylor expansion of x in x 1.760 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 1.760 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.760 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.760 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.760 * [taylor]: Taking taylor expansion of 1/3 in x 1.760 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.760 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.760 * [taylor]: Taking taylor expansion of x in x 1.760 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.761 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.761 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.761 * [taylor]: Taking taylor expansion of 1/3 in x 1.761 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.761 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.761 * [taylor]: Taking taylor expansion of x in x 1.767 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 1.767 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.767 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.767 * [taylor]: Taking taylor expansion of -1 in x 1.767 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.767 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.767 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.767 * [taylor]: Taking taylor expansion of 1/3 in x 1.767 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.767 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.767 * [taylor]: Taking taylor expansion of x in x 1.767 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.767 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.767 * [taylor]: Taking taylor expansion of -1 in x 1.767 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.767 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.767 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.768 * [taylor]: Taking taylor expansion of 1/3 in x 1.768 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.768 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.768 * [taylor]: Taking taylor expansion of x in x 1.776 * * * [progress]: simplifying candidates 1.776 * [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)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt 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) (log x)))) (exp (* 1/3 (- (log 1) (log (/ 1 x))))) (* (cbrt -1) (exp (* 1/3 (- (log 1) (log (/ -1 x)))))) (exp (* 1/3 (+ (log 1) (log x)))) (exp (* 1/3 (- (log 1) (log (/ 1 x))))) (* (cbrt -1) (exp (* 1/3 (- (log 1) (log (/ -1 x)))))) (exp (* 1/3 (+ (log 1) (log x)))) (exp (* 1/3 (- (log 1) (log (/ 1 x))))) (* (cbrt -1) (exp (* 1/3 (- (log 1) (log (/ -1 x)))))) 1.779 * * [simplify]: iteration 0 : 146 enodes (cost 229 ) 1.782 * * [simplify]: iteration 1 : 325 enodes (cost 212 ) 1.787 * * [simplify]: iteration 2 : 891 enodes (cost 182 ) 1.811 * * [simplify]: iteration 3 : 4788 enodes (cost 179 ) 1.975 * * [simplify]: iteration 4 : 5002 enodes (cost 179 ) 1.978 * [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) (+ (cos x) 1.0)) (* 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)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (pow x 1/3) (pow x 1/3) (* (cbrt -1) (exp (* 1/3 (- (log 1) (log (/ -1 x)))))) (pow x 1/3) (pow x 1/3) (* (cbrt -1) (exp (* 1/3 (- (log 1) (log (/ -1 x)))))) (pow x 1/3) (pow x 1/3) (* (cbrt -1) (exp (* 1/3 (- (log 1) (log (/ -1 x)))))) 1.978 * * * [progress]: adding candidates to table 2.041 * [progress]: [Phase 3 of 3] Extracting. 2.041 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #) 2.043 * * * [regime-changes]: Trying 2 branch expressions: ((/ (- 1.0 (cos x)) (* x x)) x) 2.043 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (* x x)) from (# # # # # # # # # # #) 2.106 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # #) 2.179 * * * [regime]: Found split indices: #