17.367 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.051 * * * [progress]: [2/2] Setting up program. 0.053 * [progress]: [Phase 2 of 3] Improving. 0.053 * [simplify]: Simplifying using # : (/ (- 1.0 (cos x)) (* x x)) 0.054 * * [simplify]: iteration 0 : 6 enodes (cost 8 ) 0.055 * * [simplify]: iteration 1 : 13 enodes (cost 8 ) 0.056 * * [simplify]: iteration 2 : 21 enodes (cost 8 ) 0.059 * * [simplify]: iteration 3 : 26 enodes (cost 8 ) 0.061 * * [simplify]: iteration 4 : 29 enodes (cost 8 ) 0.064 * * [simplify]: iteration done : 29 enodes (cost 8 ) 0.064 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (* x x)) 0.064 * * [progress]: iteration 1 / 4 0.064 * * * [progress]: picking best candidate 0.066 * * * * [pick]: Picked # 0.066 * * * [progress]: localizing error 0.072 * * * [progress]: generating rewritten candidates 0.072 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.081 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.085 * * * [progress]: generating series expansions 0.085 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.085 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.085 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.085 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.085 * [taylor]: Taking taylor expansion of 1.0 in x 0.085 * [taylor]: Taking taylor expansion of (cos x) in x 0.085 * [taylor]: Taking taylor expansion of x in x 0.085 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.085 * [taylor]: Taking taylor expansion of x in x 0.088 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.088 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.088 * [taylor]: Taking taylor expansion of 1.0 in x 0.088 * [taylor]: Taking taylor expansion of (cos x) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.088 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.103 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.103 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.103 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.103 * [taylor]: Taking taylor expansion of x in x 0.103 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.103 * [taylor]: Taking taylor expansion of 1.0 in x 0.103 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.103 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.103 * [taylor]: Taking taylor expansion of x in x 0.104 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.104 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.104 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.104 * [taylor]: Taking taylor expansion of 1.0 in x 0.104 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.104 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.119 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.119 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.119 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.119 * [taylor]: Taking taylor expansion of 1.0 in x 0.119 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.119 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.119 * [taylor]: Taking taylor expansion of -1 in x 0.119 * [taylor]: Taking taylor expansion of x in x 0.120 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.120 * [taylor]: Taking taylor expansion of x in x 0.120 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.120 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.120 * [taylor]: Taking taylor expansion of 1.0 in x 0.120 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.120 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.120 * [taylor]: Taking taylor expansion of -1 in x 0.120 * [taylor]: Taking taylor expansion of x in x 0.120 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.120 * [taylor]: Taking taylor expansion of x in x 0.130 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.130 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.130 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.130 * [taylor]: Taking taylor expansion of 1.0 in x 0.130 * [taylor]: Taking taylor expansion of (cos x) in x 0.130 * [taylor]: Taking taylor expansion of x in x 0.130 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.130 * [taylor]: Taking taylor expansion of 1.0 in x 0.130 * [taylor]: Taking taylor expansion of (cos x) in x 0.130 * [taylor]: Taking taylor expansion of x in x 0.140 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.140 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.140 * [taylor]: Taking taylor expansion of 1.0 in x 0.140 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.140 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.140 * [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 0.144 * [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 0.148 * * * [progress]: simplifying candidates 0.148 * [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)) 0.151 * * [simplify]: iteration 0 : 88 enodes (cost 507 ) 0.167 * * [simplify]: iteration 1 : 218 enodes (cost 497 ) 0.218 * * [simplify]: iteration 2 : 621 enodes (cost 441 ) 0.473 * * [simplify]: iteration 3 : 2141 enodes (cost 441 ) 1.829 * * [simplify]: iteration done : 5000 enodes (cost 440 ) 1.830 * [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)) 3) (pow x 6)) (/ (pow (- 1.0 (cos x)) 3) (pow x 6)) (* (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)) 3) (pow x 6)) (sqrt (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (- (cos x) 1.0) (- (pow x 2)) (/ 1.0 (pow x 2)) (/ (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)) (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)) 1.830 * * * [progress]: adding candidates to table 1.920 * * [progress]: iteration 2 / 4 1.920 * * * [progress]: picking best candidate 1.935 * * * * [pick]: Picked # 1.935 * * * [progress]: localizing error 1.942 * * * [progress]: generating rewritten candidates 1.942 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 1.945 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 1.947 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.955 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.967 * * * [progress]: generating series expansions 1.967 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 1.967 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.967 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.967 * [taylor]: Taking taylor expansion of 1.0 in x 1.967 * [taylor]: Taking taylor expansion of (cos x) in x 1.967 * [taylor]: Taking taylor expansion of x in x 1.967 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.967 * [taylor]: Taking taylor expansion of 1.0 in x 1.967 * [taylor]: Taking taylor expansion of (cos x) in x 1.968 * [taylor]: Taking taylor expansion of x in x 1.981 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.981 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.981 * [taylor]: Taking taylor expansion of 1.0 in x 1.981 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.981 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.981 * [taylor]: Taking taylor expansion of x in x 1.981 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.981 * [taylor]: Taking taylor expansion of 1.0 in x 1.981 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.981 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.981 * [taylor]: Taking taylor expansion of x in x 1.984 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 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 -1 in x 1.984 * [taylor]: Taking taylor expansion of 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 1.985 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.985 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.985 * [taylor]: Taking taylor expansion of -1 in x 1.985 * [taylor]: Taking taylor expansion of x in x 1.988 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 1.988 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.988 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.988 * [taylor]: Taking taylor expansion of 1.0 in x 1.988 * [taylor]: Taking taylor expansion of (cos x) in x 1.988 * [taylor]: Taking taylor expansion of x in x 1.988 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.988 * [taylor]: Taking taylor expansion of 1.0 in x 1.988 * [taylor]: Taking taylor expansion of (cos x) in x 1.988 * [taylor]: Taking taylor expansion of x in x 1.998 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.998 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.998 * [taylor]: Taking taylor expansion of 1.0 in x 1.998 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.998 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.998 * [taylor]: Taking taylor expansion of x in x 1.998 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.998 * [taylor]: Taking taylor expansion of 1.0 in x 1.998 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.998 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.998 * [taylor]: Taking taylor expansion of x in x 2.001 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 2.001 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.002 * [taylor]: Taking taylor expansion of 1.0 in x 2.002 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.002 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.002 * [taylor]: Taking taylor expansion of -1 in x 2.002 * [taylor]: Taking taylor expansion of x in x 2.002 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.002 * [taylor]: Taking taylor expansion of 1.0 in x 2.002 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.002 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.002 * [taylor]: Taking taylor expansion of -1 in x 2.002 * [taylor]: Taking taylor expansion of x in x 2.005 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 2.005 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in (x) around 0 2.005 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 2.005 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 2.005 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.005 * [taylor]: Taking taylor expansion of 1.0 in x 2.005 * [taylor]: Taking taylor expansion of (cos x) in x 2.005 * [taylor]: Taking taylor expansion of x in x 2.009 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.009 * [taylor]: Taking taylor expansion of x in x 2.010 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 2.010 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 2.010 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.010 * [taylor]: Taking taylor expansion of 1.0 in x 2.010 * [taylor]: Taking taylor expansion of (cos x) in x 2.010 * [taylor]: Taking taylor expansion of x in x 2.013 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.013 * [taylor]: Taking taylor expansion of x in x 2.059 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in (x) around 0 2.059 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 2.059 * [taylor]: Taking taylor expansion of x in x 2.059 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 2.059 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.059 * [taylor]: Taking taylor expansion of 1.0 in x 2.060 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.060 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.060 * [taylor]: Taking taylor expansion of x in x 2.060 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 2.061 * [taylor]: Taking taylor expansion of x in x 2.061 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 2.061 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.061 * [taylor]: Taking taylor expansion of 1.0 in x 2.061 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.061 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.061 * [taylor]: Taking taylor expansion of x in x 2.075 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in (x) around 0 2.075 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 2.075 * [taylor]: Taking taylor expansion of -1 in x 2.075 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 2.075 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 2.075 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.075 * [taylor]: Taking taylor expansion of 1.0 in x 2.075 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.075 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.075 * [taylor]: Taking taylor expansion of -1 in x 2.075 * [taylor]: Taking taylor expansion of x in x 2.076 * [taylor]: Taking taylor expansion of x in x 2.076 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 2.076 * [taylor]: Taking taylor expansion of -1 in x 2.076 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 2.076 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 2.076 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.076 * [taylor]: Taking taylor expansion of 1.0 in x 2.076 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.076 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.076 * [taylor]: Taking taylor expansion of -1 in x 2.076 * [taylor]: Taking taylor expansion of x in x 2.077 * [taylor]: Taking taylor expansion of x in x 2.094 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 2.094 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in (x) around 0 2.094 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 2.094 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 2.094 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.094 * [taylor]: Taking taylor expansion of 1.0 in x 2.094 * [taylor]: Taking taylor expansion of (cos x) in x 2.094 * [taylor]: Taking taylor expansion of x in x 2.098 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.098 * [taylor]: Taking taylor expansion of x in x 2.098 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 2.098 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 2.098 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.098 * [taylor]: Taking taylor expansion of 1.0 in x 2.098 * [taylor]: Taking taylor expansion of (cos x) in x 2.098 * [taylor]: Taking taylor expansion of x in x 2.102 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.102 * [taylor]: Taking taylor expansion of x in x 2.148 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in (x) around 0 2.148 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 2.148 * [taylor]: Taking taylor expansion of x in x 2.148 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 2.148 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.148 * [taylor]: Taking taylor expansion of 1.0 in x 2.148 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.148 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.148 * [taylor]: Taking taylor expansion of x in x 2.149 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 2.149 * [taylor]: Taking taylor expansion of x in x 2.149 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 2.149 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.149 * [taylor]: Taking taylor expansion of 1.0 in x 2.149 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.149 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.149 * [taylor]: Taking taylor expansion of x in x 2.163 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in (x) around 0 2.163 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 2.163 * [taylor]: Taking taylor expansion of -1 in x 2.163 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 2.163 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 2.163 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.163 * [taylor]: Taking taylor expansion of 1.0 in x 2.163 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.163 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.163 * [taylor]: Taking taylor expansion of -1 in x 2.163 * [taylor]: Taking taylor expansion of x in x 2.164 * [taylor]: Taking taylor expansion of x in x 2.164 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 2.164 * [taylor]: Taking taylor expansion of -1 in x 2.164 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 2.164 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 2.164 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.164 * [taylor]: Taking taylor expansion of 1.0 in x 2.164 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.164 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.164 * [taylor]: Taking taylor expansion of -1 in x 2.164 * [taylor]: Taking taylor expansion of x in x 2.165 * [taylor]: Taking taylor expansion of x in x 2.182 * * * [progress]: simplifying candidates 2.184 * [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)) 2.188 * * [simplify]: iteration 0 : 132 enodes (cost 1732 ) 2.214 * * [simplify]: iteration 1 : 242 enodes (cost 1618 ) 2.265 * * [simplify]: iteration 2 : 550 enodes (cost 1548 ) 2.522 * * [simplify]: iteration 3 : 1678 enodes (cost 1548 ) 3.797 * * [simplify]: iteration done : 5001 enodes (cost 1548 ) 3.798 * [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) 3.799 * * * [progress]: adding candidates to table 4.073 * * [progress]: iteration 3 / 4 4.073 * * * [progress]: picking best candidate 4.102 * * * * [pick]: Picked # 4.102 * * * [progress]: localizing error 4.115 * * * [progress]: generating rewritten candidates 4.115 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 4.123 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 1) 4.126 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 4.128 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 4.152 * * * [progress]: generating series expansions 4.152 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 4.152 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 4.152 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.152 * [taylor]: Taking taylor expansion of 1.0 in x 4.152 * [taylor]: Taking taylor expansion of (cos x) in x 4.152 * [taylor]: Taking taylor expansion of x in x 4.152 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.152 * [taylor]: Taking taylor expansion of 1.0 in x 4.152 * [taylor]: Taking taylor expansion of (cos x) in x 4.152 * [taylor]: Taking taylor expansion of x in x 4.163 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 4.163 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.163 * [taylor]: Taking taylor expansion of 1.0 in x 4.163 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.163 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.163 * [taylor]: Taking taylor expansion of x in x 4.163 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.163 * [taylor]: Taking taylor expansion of 1.0 in x 4.163 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.163 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.163 * [taylor]: Taking taylor expansion of x in x 4.171 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 4.171 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.171 * [taylor]: Taking taylor expansion of 1.0 in x 4.171 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.171 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.171 * [taylor]: Taking taylor expansion of -1 in x 4.171 * [taylor]: Taking taylor expansion of x in x 4.171 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.171 * [taylor]: Taking taylor expansion of 1.0 in x 4.171 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.171 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.171 * [taylor]: Taking taylor expansion of -1 in x 4.171 * [taylor]: Taking taylor expansion of x in x 4.175 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 1) 4.175 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 4.175 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.175 * [taylor]: Taking taylor expansion of 1.0 in x 4.175 * [taylor]: Taking taylor expansion of (cos x) in x 4.175 * [taylor]: Taking taylor expansion of x in x 4.175 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.175 * [taylor]: Taking taylor expansion of 1.0 in x 4.175 * [taylor]: Taking taylor expansion of (cos x) in x 4.175 * [taylor]: Taking taylor expansion of x in x 4.185 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 4.185 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.185 * [taylor]: Taking taylor expansion of 1.0 in x 4.185 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.185 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.185 * [taylor]: Taking taylor expansion of x in x 4.185 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.185 * [taylor]: Taking taylor expansion of 1.0 in x 4.185 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.185 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.185 * [taylor]: Taking taylor expansion of x in x 4.188 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 4.188 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.188 * [taylor]: Taking taylor expansion of 1.0 in x 4.189 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.189 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.189 * [taylor]: Taking taylor expansion of -1 in x 4.189 * [taylor]: Taking taylor expansion of x in x 4.189 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.189 * [taylor]: Taking taylor expansion of 1.0 in x 4.189 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.189 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.189 * [taylor]: Taking taylor expansion of -1 in x 4.189 * [taylor]: Taking taylor expansion of x in x 4.192 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 4.192 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 4.193 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.193 * [taylor]: Taking taylor expansion of 1.0 in x 4.193 * [taylor]: Taking taylor expansion of (cos x) in x 4.193 * [taylor]: Taking taylor expansion of x in x 4.193 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.193 * [taylor]: Taking taylor expansion of 1.0 in x 4.193 * [taylor]: Taking taylor expansion of (cos x) in x 4.193 * [taylor]: Taking taylor expansion of x in x 4.202 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 4.203 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.203 * [taylor]: Taking taylor expansion of 1.0 in x 4.203 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.203 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.203 * [taylor]: Taking taylor expansion of x in x 4.203 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.203 * [taylor]: Taking taylor expansion of 1.0 in x 4.203 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.203 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.203 * [taylor]: Taking taylor expansion of x in x 4.206 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 4.206 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.206 * [taylor]: Taking taylor expansion of 1.0 in x 4.206 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.206 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.206 * [taylor]: Taking taylor expansion of -1 in x 4.206 * [taylor]: Taking taylor expansion of x in x 4.207 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.207 * [taylor]: Taking taylor expansion of 1.0 in x 4.207 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.207 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.207 * [taylor]: Taking taylor expansion of -1 in x 4.207 * [taylor]: Taking taylor expansion of x in x 4.210 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 4.210 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in (x) around 0 4.210 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 4.210 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 4.210 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.210 * [taylor]: Taking taylor expansion of 1.0 in x 4.210 * [taylor]: Taking taylor expansion of (cos x) in x 4.210 * [taylor]: Taking taylor expansion of x in x 4.214 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.214 * [taylor]: Taking taylor expansion of x in x 4.215 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 4.215 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 4.215 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.215 * [taylor]: Taking taylor expansion of 1.0 in x 4.215 * [taylor]: Taking taylor expansion of (cos x) in x 4.215 * [taylor]: Taking taylor expansion of x in x 4.218 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.218 * [taylor]: Taking taylor expansion of x in x 4.265 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in (x) around 0 4.265 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 4.265 * [taylor]: Taking taylor expansion of x in x 4.265 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 4.265 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.265 * [taylor]: Taking taylor expansion of 1.0 in x 4.265 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.265 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.265 * [taylor]: Taking taylor expansion of x in x 4.266 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 4.266 * [taylor]: Taking taylor expansion of x in x 4.266 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 4.266 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.266 * [taylor]: Taking taylor expansion of 1.0 in x 4.266 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.266 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.266 * [taylor]: Taking taylor expansion of x in x 4.280 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in (x) around 0 4.280 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 4.280 * [taylor]: Taking taylor expansion of -1 in x 4.280 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 4.280 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 4.280 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.280 * [taylor]: Taking taylor expansion of 1.0 in x 4.280 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.280 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.280 * [taylor]: Taking taylor expansion of -1 in x 4.280 * [taylor]: Taking taylor expansion of x in x 4.281 * [taylor]: Taking taylor expansion of x in x 4.281 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 4.281 * [taylor]: Taking taylor expansion of -1 in x 4.281 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 4.281 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 4.281 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.281 * [taylor]: Taking taylor expansion of 1.0 in x 4.281 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.281 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.281 * [taylor]: Taking taylor expansion of -1 in x 4.281 * [taylor]: Taking taylor expansion of x in x 4.282 * [taylor]: Taking taylor expansion of x in x 4.299 * * * [progress]: simplifying candidates 4.301 * [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)) (- (log (sqrt (log (exp (- 1.0 (cos x)))))) (log x)) (log (/ (sqrt (log (exp (- 1.0 (cos x))))) x)) (exp (/ (sqrt (log (exp (- 1.0 (cos x))))) x)) (/ (* (* (sqrt (log (exp (- 1.0 (cos x))))) (sqrt (log (exp (- 1.0 (cos x)))))) (sqrt (log (exp (- 1.0 (cos x)))))) (* (* x x) x)) (* (cbrt (/ (sqrt (log (exp (- 1.0 (cos x))))) x)) (cbrt (/ (sqrt (log (exp (- 1.0 (cos x))))) x))) (cbrt (/ (sqrt (log (exp (- 1.0 (cos x))))) x)) (* (* (/ (sqrt (log (exp (- 1.0 (cos x))))) x) (/ (sqrt (log (exp (- 1.0 (cos x))))) x)) (/ (sqrt (log (exp (- 1.0 (cos x))))) x)) (sqrt (/ (sqrt (log (exp (- 1.0 (cos x))))) x)) (sqrt (/ (sqrt (log (exp (- 1.0 (cos x))))) x)) (- (sqrt (log (exp (- 1.0 (cos x)))))) (- x) (/ (* (cbrt (sqrt (log (exp (- 1.0 (cos x)))))) (cbrt (sqrt (log (exp (- 1.0 (cos x))))))) (* (cbrt x) (cbrt x))) (/ (cbrt (sqrt (log (exp (- 1.0 (cos x)))))) (cbrt x)) (/ (* (cbrt (sqrt (log (exp (- 1.0 (cos x)))))) (cbrt (sqrt (log (exp (- 1.0 (cos x))))))) (sqrt x)) (/ (cbrt (sqrt (log (exp (- 1.0 (cos x)))))) (sqrt x)) (/ (* (cbrt (sqrt (log (exp (- 1.0 (cos x)))))) (cbrt (sqrt (log (exp (- 1.0 (cos x))))))) 1) (/ (cbrt (sqrt (log (exp (- 1.0 (cos x)))))) x) (/ (sqrt 1) (* (cbrt x) (cbrt x))) (/ (sqrt (log (exp (- 1.0 (cos x))))) (cbrt x)) (/ (sqrt 1) (sqrt x)) (/ (sqrt (log (exp (- 1.0 (cos x))))) (sqrt x)) (/ (sqrt 1) 1) (/ (sqrt (log (exp (- 1.0 (cos x))))) x) (/ (sqrt (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (log (exp (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))))) (cbrt x)) (/ (sqrt (cbrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (log (exp (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))))) (sqrt x)) (/ (sqrt (cbrt (- 1.0 (cos x)))) 1) (/ (sqrt (log (exp (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (log (exp (sqrt (- 1.0 (cos x)))))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (log (exp (sqrt (- 1.0 (cos x)))))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) 1) (/ (sqrt (log (exp (sqrt (- 1.0 (cos x)))))) x) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (log (exp 1))) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (log (exp 1))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) 1) (/ (sqrt (log (exp 1))) x) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (log (exp (+ (sqrt 1.0) (sqrt (cos x)))))) (cbrt x)) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (sqrt x)) (/ (sqrt (log (exp (+ (sqrt 1.0) (sqrt (cos x)))))) (sqrt x)) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) 1) (/ (sqrt (log (exp (+ (sqrt 1.0) (sqrt (cos x)))))) x) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (log (exp 1))) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (log (exp 1))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) 1) (/ (sqrt (log (exp 1))) x) (/ (sqrt (* (cbrt (log (exp (- 1.0 (cos x))))) (cbrt (log (exp (- 1.0 (cos x))))))) (* (cbrt x) (cbrt x))) (/ (sqrt (cbrt (log (exp (- 1.0 (cos x)))))) (cbrt x)) (/ (sqrt (* (cbrt (log (exp (- 1.0 (cos x))))) (cbrt (log (exp (- 1.0 (cos x))))))) (sqrt x)) (/ (sqrt (cbrt (log (exp (- 1.0 (cos x)))))) (sqrt x)) (/ (sqrt (* (cbrt (log (exp (- 1.0 (cos x))))) (cbrt (log (exp (- 1.0 (cos x))))))) 1) (/ (sqrt (cbrt (log (exp (- 1.0 (cos x)))))) x) (/ (sqrt (sqrt (log (exp (- 1.0 (cos x)))))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (log (exp (- 1.0 (cos x)))))) (cbrt x)) (/ (sqrt (sqrt (log (exp (- 1.0 (cos x)))))) (sqrt x)) (/ (sqrt (sqrt (log (exp (- 1.0 (cos x)))))) (sqrt x)) (/ (sqrt (sqrt (log (exp (- 1.0 (cos x)))))) 1) (/ (sqrt (sqrt (log (exp (- 1.0 (cos x)))))) x) (/ (sqrt 1) (* (cbrt x) (cbrt x))) (/ (sqrt (log (exp (- 1.0 (cos x))))) (cbrt x)) (/ (sqrt 1) (sqrt x)) (/ (sqrt (log (exp (- 1.0 (cos x))))) (sqrt x)) (/ (sqrt 1) 1) (/ (sqrt (log (exp (- 1.0 (cos x))))) x) (/ (sqrt (sqrt (log (exp (- 1.0 (cos x)))))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (log (exp (- 1.0 (cos x)))))) (cbrt x)) (/ (sqrt (sqrt (log (exp (- 1.0 (cos x)))))) (sqrt x)) (/ (sqrt (sqrt (log (exp (- 1.0 (cos x)))))) (sqrt x)) (/ (sqrt (sqrt (log (exp (- 1.0 (cos x)))))) 1) (/ (sqrt (sqrt (log (exp (- 1.0 (cos x)))))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt (log (exp (- 1.0 (cos x))))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (log (exp (- 1.0 (cos x))))) (sqrt x)) (/ 1 1) (/ (sqrt (log (exp (- 1.0 (cos x))))) x) (/ 1 x) (/ x (sqrt (log (exp (- 1.0 (cos x)))))) (/ (sqrt (log (exp (- 1.0 (cos x))))) (* (cbrt x) (cbrt x))) (/ (sqrt (log (exp (- 1.0 (cos x))))) (sqrt x)) (/ (sqrt (log (exp (- 1.0 (cos x))))) 1) (/ x (cbrt (sqrt (log (exp (- 1.0 (cos x))))))) (/ x (sqrt (log (exp (- 1.0 (cos x)))))) (/ x (sqrt (log (exp (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))))) (/ x (sqrt (log (exp (sqrt (- 1.0 (cos x))))))) (/ x (sqrt (log (exp 1)))) (/ x (sqrt (log (exp (+ (sqrt 1.0) (sqrt (cos x))))))) (/ x (sqrt (log (exp 1)))) (/ x (sqrt (cbrt (log (exp (- 1.0 (cos x))))))) (/ x (sqrt (sqrt (log (exp (- 1.0 (cos x))))))) (/ x (sqrt (log (exp (- 1.0 (cos x)))))) (/ x (sqrt (sqrt (log (exp (- 1.0 (cos x))))))) (/ x (sqrt (log (exp (- 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)) (- (+ (* 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)) 4.306 * * [simplify]: iteration 0 : 181 enodes (cost 1589 ) 4.344 * * [simplify]: iteration 1 : 304 enodes (cost 1274 ) 4.403 * * [simplify]: iteration 2 : 631 enodes (cost 1242 ) 4.675 * * [simplify]: iteration 3 : 1792 enodes (cost 1218 ) 5.857 * * [simplify]: iteration done : 5000 enodes (cost 1218 ) 5.857 * [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)) (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 x)) (/ (cbrt (sqrt (- 1.0 (cos 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) (/ 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 (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (fabs (cbrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (cbrt (- 1.0 (cos x)))) (sqrt x)) (/ (fabs (cbrt (- 1.0 (cos x)))) (sqrt x)) (sqrt (cbrt (- 1.0 (cos x)))) (/ (fabs (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) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ 1 (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ 1 (sqrt x)) (sqrt (- 1.0 (cos x))) (/ 1 x) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (+ (sqrt (cos x)) (sqrt 1.0))) (cbrt x)) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (sqrt x)) (/ (sqrt (+ (sqrt (cos x)) (sqrt 1.0))) (sqrt x)) (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (/ (sqrt (+ (sqrt (cos x)) (sqrt 1.0))) x) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ 1 (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ 1 (sqrt x)) (sqrt (- 1.0 (cos x))) (/ 1 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 (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 (- 1.0 (cos x)))) (/ x (fabs (cbrt (- 1.0 (cos x))))) (/ x (sqrt (sqrt (- 1.0 (cos x))))) (/ x 1) (/ x (sqrt (+ (sqrt (cos x)) (sqrt 1.0)))) (/ x 1) (/ 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 (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)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (- (- (sqrt 1/2) (* 1/48 (/ (pow x 2) (sqrt 1/2)))) (* 1/2304 (/ (pow x 4) (sqrt 1/2)))) (* 1/1440 (/ (pow x 4) (sqrt 1/2)))) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) 5.859 * * * [progress]: adding candidates to table 6.119 * * [progress]: iteration 4 / 4 6.119 * * * [progress]: picking best candidate 6.141 * * * * [pick]: Picked # 6.141 * * * [progress]: localizing error 6.152 * * * [progress]: generating rewritten candidates 6.152 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 6.163 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 6.170 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1 1) 6.173 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 1) 6.177 * * * [progress]: generating series expansions 6.177 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 6.177 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 6.177 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 6.177 * [taylor]: Taking taylor expansion of 1.0 in x 6.177 * [taylor]: Taking taylor expansion of (cos x) in x 6.177 * [taylor]: Taking taylor expansion of x in x 6.177 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 6.177 * [taylor]: Taking taylor expansion of 1.0 in x 6.177 * [taylor]: Taking taylor expansion of (cos x) in x 6.177 * [taylor]: Taking taylor expansion of x in x 6.188 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 6.188 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 6.188 * [taylor]: Taking taylor expansion of 1.0 in x 6.189 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.189 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.189 * [taylor]: Taking taylor expansion of x in x 6.189 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 6.189 * [taylor]: Taking taylor expansion of 1.0 in x 6.189 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.189 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.189 * [taylor]: Taking taylor expansion of x in x 6.193 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 6.193 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 6.193 * [taylor]: Taking taylor expansion of 1.0 in x 6.193 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.193 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.193 * [taylor]: Taking taylor expansion of -1 in x 6.193 * [taylor]: Taking taylor expansion of x in x 6.193 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 6.193 * [taylor]: Taking taylor expansion of 1.0 in x 6.193 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.193 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.193 * [taylor]: Taking taylor expansion of -1 in x 6.193 * [taylor]: Taking taylor expansion of x in x 6.197 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 6.197 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 6.197 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 6.197 * [taylor]: Taking taylor expansion of 1.0 in x 6.197 * [taylor]: Taking taylor expansion of (cos x) in x 6.197 * [taylor]: Taking taylor expansion of x in x 6.197 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 6.197 * [taylor]: Taking taylor expansion of 1.0 in x 6.197 * [taylor]: Taking taylor expansion of (cos x) in x 6.197 * [taylor]: Taking taylor expansion of x in x 6.207 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 6.207 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 6.207 * [taylor]: Taking taylor expansion of 1.0 in x 6.207 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.207 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.207 * [taylor]: Taking taylor expansion of x in x 6.207 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 6.207 * [taylor]: Taking taylor expansion of 1.0 in x 6.207 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.207 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.207 * [taylor]: Taking taylor expansion of x in x 6.211 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 6.211 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 6.211 * [taylor]: Taking taylor expansion of 1.0 in x 6.211 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.211 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.211 * [taylor]: Taking taylor expansion of -1 in x 6.211 * [taylor]: Taking taylor expansion of x in x 6.211 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 6.211 * [taylor]: Taking taylor expansion of 1.0 in x 6.211 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.211 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.211 * [taylor]: Taking taylor expansion of -1 in x 6.211 * [taylor]: Taking taylor expansion of x in x 6.214 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1 1) 6.214 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 6.214 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 6.215 * [taylor]: Taking taylor expansion of 1.0 in x 6.215 * [taylor]: Taking taylor expansion of (cos x) in x 6.215 * [taylor]: Taking taylor expansion of x in x 6.215 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 6.215 * [taylor]: Taking taylor expansion of 1.0 in x 6.215 * [taylor]: Taking taylor expansion of (cos x) in x 6.215 * [taylor]: Taking taylor expansion of x in x 6.224 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 6.224 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 6.224 * [taylor]: Taking taylor expansion of 1.0 in x 6.225 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.225 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.225 * [taylor]: Taking taylor expansion of x in x 6.225 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 6.225 * [taylor]: Taking taylor expansion of 1.0 in x 6.225 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.225 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.225 * [taylor]: Taking taylor expansion of x in x 6.228 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 6.228 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 6.229 * [taylor]: Taking taylor expansion of 1.0 in x 6.229 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.229 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.229 * [taylor]: Taking taylor expansion of -1 in x 6.229 * [taylor]: Taking taylor expansion of x in x 6.229 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 6.229 * [taylor]: Taking taylor expansion of 1.0 in x 6.229 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.229 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.229 * [taylor]: Taking taylor expansion of -1 in x 6.229 * [taylor]: Taking taylor expansion of x in x 6.232 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 1) 6.232 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 6.232 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 6.232 * [taylor]: Taking taylor expansion of 1.0 in x 6.232 * [taylor]: Taking taylor expansion of (cos x) in x 6.232 * [taylor]: Taking taylor expansion of x in x 6.232 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 6.232 * [taylor]: Taking taylor expansion of 1.0 in x 6.232 * [taylor]: Taking taylor expansion of (cos x) in x 6.232 * [taylor]: Taking taylor expansion of x in x 6.247 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 6.248 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 6.248 * [taylor]: Taking taylor expansion of 1.0 in x 6.248 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.248 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.248 * [taylor]: Taking taylor expansion of x in x 6.248 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 6.248 * [taylor]: Taking taylor expansion of 1.0 in x 6.248 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.248 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.248 * [taylor]: Taking taylor expansion of x in x 6.251 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 6.251 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 6.251 * [taylor]: Taking taylor expansion of 1.0 in x 6.251 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.251 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.251 * [taylor]: Taking taylor expansion of -1 in x 6.251 * [taylor]: Taking taylor expansion of x in x 6.252 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 6.252 * [taylor]: Taking taylor expansion of 1.0 in x 6.252 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.252 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.252 * [taylor]: Taking taylor expansion of -1 in x 6.252 * [taylor]: Taking taylor expansion of x in x 6.255 * * * [progress]: simplifying candidates 6.256 * [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))))) (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)) (- (+ (* 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)) 6.258 * * [simplify]: iteration 0 : 72 enodes (cost 678 ) 6.271 * * [simplify]: iteration 1 : 128 enodes (cost 576 ) 6.291 * * [simplify]: iteration 2 : 235 enodes (cost 534 ) 6.331 * * [simplify]: iteration 3 : 437 enodes (cost 534 ) 6.501 * * [simplify]: iteration 4 : 1288 enodes (cost 534 ) 7.637 * * [simplify]: iteration 5 : 4440 enodes (cost 534 ) 9.202 * * [simplify]: iteration done : 5000 enodes (cost 534 ) 9.202 * [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))) 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)) (- (+ (* 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)) 9.203 * * * [progress]: adding candidates to table 9.429 * [progress]: [Phase 3 of 3] Extracting. 9.430 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #) 9.432 * * * [regime-changes]: Trying 1 branch expressions: (x) 9.432 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # #) 9.485 * * * [regime]: Found split indices: #