11.424 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.058 * * * [progress]: [2/2] Setting up program. 0.065 * [progress]: [Phase 2 of 3] Improving. 0.065 * [simplify]: Simplifying using # : (/ (- 1.0 (cos x)) (* x x)) 0.067 * * [simplify]: iteration 0 : 6 enodes (cost 8 ) 0.067 * * [simplify]: iteration 1 : 13 enodes (cost 8 ) 0.069 * * [simplify]: iteration 2 : 21 enodes (cost 8 ) 0.071 * * [simplify]: iteration 3 : 26 enodes (cost 8 ) 0.074 * * [simplify]: iteration 4 : 29 enodes (cost 8 ) 0.077 * * [simplify]: iteration done : 29 enodes (cost 8 ) 0.077 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (* x x)) 0.077 * * [progress]: iteration 1 / 4 0.077 * * * [progress]: picking best candidate 0.079 * * * * [pick]: Picked # 0.079 * * * [progress]: localizing error 0.085 * * * [progress]: generating rewritten candidates 0.085 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.093 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.098 * * * [progress]: generating series expansions 0.098 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.098 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.098 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.098 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.098 * [taylor]: Taking taylor expansion of 1.0 in x 0.098 * [taylor]: Taking taylor expansion of (cos x) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.098 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.099 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.099 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.099 * [taylor]: Taking taylor expansion of 1.0 in x 0.099 * [taylor]: Taking taylor expansion of (cos x) in x 0.099 * [taylor]: Taking taylor expansion of x in x 0.099 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.099 * [taylor]: Taking taylor expansion of x in x 0.101 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.101 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.101 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.101 * [taylor]: Taking taylor expansion of x in x 0.101 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.101 * [taylor]: Taking taylor expansion of 1.0 in x 0.101 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.101 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.101 * [taylor]: Taking taylor expansion of x in x 0.101 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.101 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.101 * [taylor]: Taking taylor expansion of x in x 0.101 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.101 * [taylor]: Taking taylor expansion of 1.0 in x 0.101 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.101 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.101 * [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 -1 in x 0.103 * [taylor]: Taking taylor expansion of x in x 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 -1 in x 0.103 * [taylor]: Taking taylor expansion of x in x 0.104 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.104 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.104 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.104 * [taylor]: Taking taylor expansion of 1.0 in x 0.104 * [taylor]: Taking taylor expansion of (cos x) in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.104 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.104 * [taylor]: Taking taylor expansion of 1.0 in x 0.104 * [taylor]: Taking taylor expansion of (cos x) in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.106 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.106 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.106 * [taylor]: Taking taylor expansion of 1.0 in x 0.106 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.106 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.106 * [taylor]: Taking taylor expansion of x in x 0.106 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.106 * [taylor]: Taking taylor expansion of 1.0 in x 0.106 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.106 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.106 * [taylor]: Taking taylor expansion of x in x 0.107 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.107 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.107 * [taylor]: Taking taylor expansion of 1.0 in x 0.107 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.107 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.107 * [taylor]: Taking taylor expansion of -1 in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.107 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.107 * [taylor]: Taking taylor expansion of 1.0 in x 0.107 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.107 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.107 * [taylor]: Taking taylor expansion of -1 in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.107 * * * [progress]: simplifying candidates 0.108 * [simplify]: Simplifying using # : (- (log (- 1.0 (cos x))) (+ (log x) (log x))) (- (log (- 1.0 (cos x))) (log (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (exp (/ (- 1.0 (cos x)) (* x x))) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* (* x x) x) (* (* x x) x))) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* (* x x) (* x x)) (* x x))) (* (cbrt (/ (- 1.0 (cos x)) (* x x))) (cbrt (/ (- 1.0 (cos x)) (* x x)))) (cbrt (/ (- 1.0 (cos x)) (* x x))) (* (* (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x))) (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (neg (- 1.0 (cos x))) (neg (* x x)) (/ 1.0 (* x x)) (/ (cos x) (* x x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) x) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) x) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 (* x x)) (/ (* x x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) x) (/ (* x x) (cbrt (- 1.0 (cos x)))) (/ (* x x) (sqrt (- 1.0 (cos x)))) (/ (* x x) (- 1.0 (cos x))) (/ (* x x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (* x x) (- 1.0 (cos x))) (* (* x x) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (* (* x x) (+ 1.0 (cos x))) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (neg (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (neg (cos x)) (- (+ 1/2 (* 1/720 (pow x 4))) (* 1/24 (pow x 2))) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) 0.110 * * [simplify]: iteration 0 : 88 enodes (cost 507 ) 0.122 * * [simplify]: iteration 1 : 220 enodes (cost 499 ) 0.161 * * [simplify]: iteration 2 : 676 enodes (cost 445 ) 0.310 * * [simplify]: iteration 3 : 1934 enodes (cost 441 ) 0.847 * * [simplify]: iteration done : 5000 enodes (cost 440 ) 0.847 * [simplify]: Simplified to: (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)) (* x x))) (pow (/ (- 1.0 (cos x)) (pow x 2)) 3) (pow (/ (- 1.0 (cos x)) (pow x 2)) 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)) (pow x 2)) 3) (sqrt (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (- (cos x) 1.0) (neg (* x x)) (/ 1.0 (* x x)) (/ (cos x) (* x x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) x) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) x) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 (* x x)) (/ x (/ (- 1.0 (cos x)) x)) (/ (- 1.0 (cos x)) x) (/ (* x x) (cbrt (- 1.0 (cos x)))) (/ (* x x) (sqrt (- 1.0 (cos x)))) (/ x (/ (- 1.0 (cos x)) x)) (/ (* x x) (- (sqrt 1.0) (sqrt (cos x)))) (/ x (/ (- 1.0 (cos x)) x)) (* (* x x) (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0))) (* (* x x) (+ 1.0 (cos x))) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0)) (neg (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (neg (cos x)) (- (+ 1/2 (* 1/720 (pow x 4))) (* 1/24 (pow x 2))) (/ (/ (- 1.0 (cos x)) x) x) (/ (/ (- 1.0 (cos x)) x) x) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) 0.848 * * * [progress]: adding candidates to table 0.931 * * [progress]: iteration 2 / 4 0.931 * * * [progress]: picking best candidate 0.960 * * * * [pick]: Picked # 0.960 * * * [progress]: localizing error 0.970 * * * [progress]: generating rewritten candidates 0.970 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 0.975 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1) 0.979 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 0.983 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 1.001 * * * [progress]: generating series expansions 1.001 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 1.001 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.001 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.001 * [taylor]: Taking taylor expansion of 1.0 in x 1.001 * [taylor]: Taking taylor expansion of (cos x) in x 1.001 * [taylor]: Taking taylor expansion of x in x 1.001 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.001 * [taylor]: Taking taylor expansion of 1.0 in x 1.001 * [taylor]: Taking taylor expansion of (cos x) in x 1.001 * [taylor]: Taking taylor expansion of x in x 1.003 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.003 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.003 * [taylor]: Taking taylor expansion of 1.0 in x 1.003 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.003 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.003 * [taylor]: Taking taylor expansion of x in x 1.003 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.003 * [taylor]: Taking taylor expansion of 1.0 in x 1.003 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.003 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.003 * [taylor]: Taking taylor expansion of x in x 1.004 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.004 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.004 * [taylor]: Taking taylor expansion of 1.0 in x 1.004 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.004 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.004 * [taylor]: Taking taylor expansion of -1 in x 1.004 * [taylor]: Taking taylor expansion of x in x 1.004 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.004 * [taylor]: Taking taylor expansion of 1.0 in x 1.004 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.004 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.004 * [taylor]: Taking taylor expansion of -1 in x 1.004 * [taylor]: Taking taylor expansion of x in x 1.004 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1) 1.004 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.004 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.004 * [taylor]: Taking taylor expansion of 1.0 in x 1.004 * [taylor]: Taking taylor expansion of (cos x) in x 1.004 * [taylor]: Taking taylor expansion of x in x 1.004 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.004 * [taylor]: Taking taylor expansion of 1.0 in x 1.004 * [taylor]: Taking taylor expansion of (cos x) in x 1.004 * [taylor]: Taking taylor expansion of x in x 1.006 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.006 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.006 * [taylor]: Taking taylor expansion of 1.0 in x 1.006 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.006 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.007 * [taylor]: Taking taylor expansion of x in x 1.007 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.007 * [taylor]: Taking taylor expansion of 1.0 in x 1.007 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.007 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.007 * [taylor]: Taking taylor expansion of x in x 1.007 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.007 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.007 * [taylor]: Taking taylor expansion of 1.0 in x 1.007 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.007 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.007 * [taylor]: Taking taylor expansion of -1 in x 1.007 * [taylor]: Taking taylor expansion of x in x 1.007 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.007 * [taylor]: Taking taylor expansion of 1.0 in x 1.007 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.007 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.007 * [taylor]: Taking taylor expansion of -1 in x 1.007 * [taylor]: Taking taylor expansion of x in x 1.008 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 1.008 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.008 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.008 * [taylor]: Taking taylor expansion of 1.0 in x 1.008 * [taylor]: Taking taylor expansion of (cos x) in x 1.008 * [taylor]: Taking taylor expansion of x in x 1.008 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.008 * [taylor]: Taking taylor expansion of 1.0 in x 1.008 * [taylor]: Taking taylor expansion of (cos x) in x 1.008 * [taylor]: Taking taylor expansion of x in x 1.010 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.010 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.010 * [taylor]: Taking taylor expansion of 1.0 in x 1.010 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.010 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.010 * [taylor]: Taking taylor expansion of x in x 1.010 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.010 * [taylor]: Taking taylor expansion of 1.0 in x 1.010 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.010 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.010 * [taylor]: Taking taylor expansion of x in x 1.010 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.010 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.010 * [taylor]: Taking taylor expansion of 1.0 in x 1.010 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.010 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.010 * [taylor]: Taking taylor expansion of -1 in x 1.010 * [taylor]: Taking taylor expansion of x in x 1.010 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.010 * [taylor]: Taking taylor expansion of 1.0 in x 1.010 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.010 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.011 * [taylor]: Taking taylor expansion of -1 in x 1.011 * [taylor]: Taking taylor expansion of x in x 1.011 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 1.011 * [approximate]: Taking taylor expansion of (pow (pow (- 1.0 (cos x)) 2) 1/3) in (x) around 0 1.011 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos x)) 2) 1/3) in x 1.011 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (cos x)) 2)))) in x 1.011 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (cos x)) 2))) in x 1.011 * [taylor]: Taking taylor expansion of 1/3 in x 1.011 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (cos x)) 2)) in x 1.011 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos x)) 2) in x 1.011 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.011 * [taylor]: Taking taylor expansion of 1.0 in x 1.011 * [taylor]: Taking taylor expansion of (cos x) in x 1.011 * [taylor]: Taking taylor expansion of x in x 1.012 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos x)) 2) 1/3) in x 1.012 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (cos x)) 2)))) in x 1.012 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (cos x)) 2))) in x 1.012 * [taylor]: Taking taylor expansion of 1/3 in x 1.012 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (cos x)) 2)) in x 1.012 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos x)) 2) in x 1.012 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.012 * [taylor]: Taking taylor expansion of 1.0 in x 1.012 * [taylor]: Taking taylor expansion of (cos x) in x 1.012 * [taylor]: Taking taylor expansion of x in x 1.018 * [approximate]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ 1 x))) 2) 1/3) in (x) around 0 1.018 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ 1 x))) 2) 1/3) in x 1.018 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (cos (/ 1 x))) 2)))) in x 1.018 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (cos (/ 1 x))) 2))) in x 1.018 * [taylor]: Taking taylor expansion of 1/3 in x 1.018 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (cos (/ 1 x))) 2)) in x 1.018 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ 1 x))) 2) in x 1.018 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.018 * [taylor]: Taking taylor expansion of 1.0 in x 1.018 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.018 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.018 * [taylor]: Taking taylor expansion of x in x 1.019 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ 1 x))) 2) 1/3) in x 1.019 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (cos (/ 1 x))) 2)))) in x 1.019 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (cos (/ 1 x))) 2))) in x 1.019 * [taylor]: Taking taylor expansion of 1/3 in x 1.019 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (cos (/ 1 x))) 2)) in x 1.019 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ 1 x))) 2) in x 1.019 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.019 * [taylor]: Taking taylor expansion of 1.0 in x 1.019 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.019 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.019 * [taylor]: Taking taylor expansion of x in x 1.029 * [approximate]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ -1 x))) 2) 1/3) in (x) around 0 1.029 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ -1 x))) 2) 1/3) in x 1.029 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (cos (/ -1 x))) 2)))) in x 1.029 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (cos (/ -1 x))) 2))) in x 1.029 * [taylor]: Taking taylor expansion of 1/3 in x 1.029 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (cos (/ -1 x))) 2)) in x 1.029 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ -1 x))) 2) in x 1.029 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.029 * [taylor]: Taking taylor expansion of 1.0 in x 1.029 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.029 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.029 * [taylor]: Taking taylor expansion of -1 in x 1.029 * [taylor]: Taking taylor expansion of x in x 1.030 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ -1 x))) 2) 1/3) in x 1.030 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (cos (/ -1 x))) 2)))) in x 1.030 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (cos (/ -1 x))) 2))) in x 1.030 * [taylor]: Taking taylor expansion of 1/3 in x 1.030 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (cos (/ -1 x))) 2)) in x 1.030 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ -1 x))) 2) in x 1.030 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.030 * [taylor]: Taking taylor expansion of 1.0 in x 1.030 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.030 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.030 * [taylor]: Taking taylor expansion of -1 in x 1.030 * [taylor]: Taking taylor expansion of x in x 1.040 * * * [progress]: simplifying candidates 1.041 * [simplify]: Simplifying using # : (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (neg (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (neg (cos x)) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (neg (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (neg (cos x)) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (neg (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (neg (cos x)) (+ 1/3 1/3) (+ 1 1) (* (- 1.0 (cos x)) (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (+ 1 1) (+ (log (cbrt (- 1.0 (cos x)))) (log (cbrt (- 1.0 (cos x))))) (log (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (exp (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (* (- 1.0 (cos x)) (- 1.0 (cos x))) (* (cbrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (cbrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (cbrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (* (* (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (sqrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (sqrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (* (cbrt (- (pow 1.0 3) (pow (cos x) 3))) (cbrt (- (pow 1.0 3) (pow (cos x) 3)))) (* (cbrt (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (cbrt (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))))) (* (cbrt (- (pow 1.0 3) (pow (cos x) 3))) (cbrt (- (* 1.0 1.0) (* (cos x) (cos x))))) (* (cbrt (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (cbrt (+ 1.0 (cos x)))) (* (cbrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (cbrt (- (pow 1.0 3) (pow (cos x) 3)))) (* (cbrt (+ 1.0 (cos x))) (cbrt (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))))) (* (cbrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (cbrt (- (* 1.0 1.0) (* (cos x) (cos x))))) (* (cbrt (+ 1.0 (cos x))) (cbrt (+ 1.0 (cos x)))) (* (cbrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (cbrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (* (cbrt (cbrt (- 1.0 (cos x)))) (cbrt (cbrt (- 1.0 (cos x))))) (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (* (cbrt 1) (cbrt 1)) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt 1) (cbrt 1)) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (+ (sqrt 1.0) (sqrt (cos x)))) (cbrt (+ (sqrt 1.0) (sqrt (cos x))))) (* (cbrt (- (sqrt 1.0) (sqrt (cos x)))) (cbrt (- (sqrt 1.0) (sqrt (cos x))))) (* (cbrt 1) (cbrt 1)) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt 1) (cbrt 1)) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (* (cbrt (cbrt (- 1.0 (cos x)))) (cbrt (cbrt (- 1.0 (cos x))))) (* (cbrt (cbrt (- 1.0 (cos x)))) (cbrt (cbrt (- 1.0 (cos x)))))) (* (cbrt (cbrt (- 1.0 (cos x)))) (cbrt (cbrt (- 1.0 (cos x))))) (* (sqrt (cbrt (- 1.0 (cos x)))) (sqrt (cbrt (- 1.0 (cos x))))) (* (sqrt (cbrt (- 1.0 (cos x)))) (sqrt (cbrt (- 1.0 (cos x))))) (* 1 1) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (* (cbrt (sqrt (- 1.0 (cos x)))) (sqrt (cbrt (- 1.0 (cos x))))) (* (cbrt (sqrt (- 1.0 (cos x)))) (sqrt (cbrt (- 1.0 (cos x))))) (* (sqrt (cbrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (* (sqrt (cbrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (* (sqrt (cbrt (- 1.0 (cos x)))) (sqrt (cbrt (- 1.0 (cos x))))) (* (sqrt (cbrt (- 1.0 (cos x)))) (sqrt (cbrt (- 1.0 (cos x))))) (* 2 1/3) (* 2 1) (* (cbrt (- 1.0 (cos x))) (cbrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (* (cbrt (- 1.0 (cos x))) (cbrt (sqrt (- 1.0 (cos x))))) (* (cbrt (- 1.0 (cos x))) (cbrt 1)) (* (cbrt (- 1.0 (cos x))) (cbrt (+ (sqrt 1.0) (sqrt (cos x))))) (* (cbrt (- 1.0 (cos x))) (cbrt 1)) (* (cbrt (- 1.0 (cos x))) (* (cbrt (cbrt (- 1.0 (cos x)))) (cbrt (cbrt (- 1.0 (cos x)))))) (* (cbrt (- 1.0 (cos x))) (sqrt (cbrt (- 1.0 (cos x))))) (* (cbrt (- 1.0 (cos x))) 1) (* (cbrt (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x)))) (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x)))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (- (sqrt 1.0) (sqrt (cos x)))) (cbrt (- 1.0 (cos x)))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x)))) (* (sqrt (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x)))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (- 1.0 (cos x))) (cbrt (- (pow 1.0 3) (pow (cos x) 3)))) (* (cbrt (- 1.0 (cos x))) (cbrt (- (* 1.0 1.0) (* (cos x) (cos x))))) (* (cbrt (- (pow 1.0 3) (pow (cos x) 3))) (cbrt (- 1.0 (cos x)))) (* (cbrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (cbrt (- 1.0 (cos x)))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (exp (* 1/3 (+ (log 1/4) (* 4 (log x))))) (* 7/6480 (* (pow x 4) (exp (* 1/3 (+ (log 1/4) (* 4 (log x)))))))) (* 1/18 (* (pow x 2) (exp (* 1/3 (+ (log 1/4) (* 4 (log x)))))))) (pow (pow (- 1.0 (cos x)) 2) 1/3) (pow (pow (- 1.0 (cos x)) 2) 1/3) 1.045 * * [simplify]: iteration 0 : 119 enodes (cost 1410 ) 1.060 * * [simplify]: iteration 1 : 226 enodes (cost 1296 ) 1.096 * * [simplify]: iteration 2 : 662 enodes (cost 1212 ) 1.232 * * [simplify]: iteration 3 : 1701 enodes (cost 1129 ) 1.633 * * [simplify]: iteration 4 : 4760 enodes (cost 1097 ) 2.627 * * [simplify]: iteration done : 5000 enodes (cost 1097 ) 2.628 * [simplify]: Simplified to: (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (cbrt (pow (- 1.0 (cos x)) 2)) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0)) (neg (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (neg (cos x)) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (cbrt (pow (- 1.0 (cos x)) 2)) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0)) (neg (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (neg (cos x)) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (cbrt (pow (- 1.0 (cos x)) 2)) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0)) (neg (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (neg (cos x)) 2/3 2 (pow (- 1.0 (cos x)) 2) (cbrt (pow (- 1.0 (cos x)) 2)) 2 (* 2 (log (cbrt (- 1.0 (cos x))))) (* 2 (log (cbrt (- 1.0 (cos x))))) (exp (cbrt (pow (- 1.0 (cos x)) 2))) (pow (- 1.0 (cos x)) 2) (* (cbrt (cbrt (pow (- 1.0 (cos x)) 2))) (cbrt (cbrt (pow (- 1.0 (cos x)) 2)))) (cbrt (cbrt (pow (- 1.0 (cos x)) 2))) (pow (- 1.0 (cos x)) 2) (fabs (cbrt (- 1.0 (cos x)))) (fabs (cbrt (- 1.0 (cos x)))) (* (cbrt (- (pow 1.0 3) (pow (cos x) 3))) (cbrt (- (pow 1.0 3) (pow (cos x) 3)))) (* (cbrt (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0))) (cbrt (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0)))) (* (cbrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (cbrt (- (pow 1.0 3) (pow (cos x) 3)))) (* (cbrt (+ 1.0 (cos x))) (cbrt (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0)))) (* (cbrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (cbrt (- (pow 1.0 3) (pow (cos x) 3)))) (* (cbrt (+ 1.0 (cos x))) (cbrt (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0)))) (* (cbrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (cbrt (- (* 1.0 1.0) (* (cos x) (cos x))))) (* (cbrt (+ 1.0 (cos x))) (cbrt (+ 1.0 (cos x)))) (* (cbrt (cbrt (pow (- 1.0 (cos x)) 2))) (cbrt (cbrt (pow (- 1.0 (cos x)) 2)))) (* (cbrt (cbrt (- 1.0 (cos x)))) (cbrt (cbrt (- 1.0 (cos x))))) (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) 1 (cbrt (pow (- 1.0 (cos x)) 2)) 1 (cbrt (pow (- 1.0 (cos x)) 2)) (* (cbrt (+ (sqrt 1.0) (sqrt (cos x)))) (cbrt (+ (sqrt 1.0) (sqrt (cos x))))) (* (cbrt (- (sqrt 1.0) (sqrt (cos x)))) (cbrt (- (sqrt 1.0) (sqrt (cos x))))) 1 (cbrt (pow (- 1.0 (cos x)) 2)) 1 (cbrt (pow (- 1.0 (cos x)) 2)) (pow (cbrt (cbrt (- 1.0 (cos x)))) 4) (* (cbrt (cbrt (- 1.0 (cos x)))) (cbrt (cbrt (- 1.0 (cos x))))) (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))) 1 (cbrt (pow (- 1.0 (cos x)) 2)) (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (* (cbrt (sqrt (- 1.0 (cos x)))) (sqrt (cbrt (- 1.0 (cos x))))) (* (cbrt (sqrt (- 1.0 (cos x)))) (sqrt (cbrt (- 1.0 (cos x))))) (* (cbrt (sqrt (- 1.0 (cos x)))) (sqrt (cbrt (- 1.0 (cos x))))) (* (cbrt (sqrt (- 1.0 (cos x)))) (sqrt (cbrt (- 1.0 (cos x))))) (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))) 2/3 2 (* (cbrt (- 1.0 (cos x))) (cbrt (cbrt (pow (- 1.0 (cos x)) 2)))) (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (cbrt (+ (sqrt 1.0) (sqrt (cos x)))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (pow (cbrt (cbrt (- 1.0 (cos x)))) 4) (cbrt (cbrt (- 1.0 (cos x))))) (pow (sqrt (cbrt (- 1.0 (cos x)))) 3) (cbrt (- 1.0 (cos x))) (pow (cbrt (cbrt (- 1.0 (cos x)))) 4) (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x)))) (cbrt (pow (- 1.0 (cos x)) 2)) (* (cbrt (- (sqrt 1.0) (sqrt (cos x)))) (cbrt (- 1.0 (cos x)))) (cbrt (pow (- 1.0 (cos x)) 2)) (pow (cbrt (cbrt (- 1.0 (cos x)))) 4) (pow (sqrt (cbrt (- 1.0 (cos x)))) 3) (cbrt (pow (- 1.0 (cos x)) 2)) (* (cbrt (- (pow 1.0 3) (pow (cos x) 3))) (cbrt (- 1.0 (cos x)))) (* (cbrt (- 1.0 (cos x))) (cbrt (- (* 1.0 1.0) (* (cos x) (cos x))))) (* (cbrt (- (pow 1.0 3) (pow (cos x) 3))) (cbrt (- 1.0 (cos x)))) (* (cbrt (- 1.0 (cos x))) (cbrt (- (* 1.0 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)) (* (pow x 4/3) (* (cbrt 1/4) (+ (* (pow x 2) -1/18) (+ (* 7/6480 (pow x 4)) 1)))) (cbrt (pow (- 1.0 (cos x)) 2)) (cbrt (pow (- 1.0 (cos x)) 2)) 2.629 * * * [progress]: adding candidates to table 2.815 * * [progress]: iteration 3 / 4 2.815 * * * [progress]: picking best candidate 2.849 * * * * [pick]: Picked # 2.850 * * * [progress]: localizing error 2.864 * * * [progress]: generating rewritten candidates 2.864 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 2.868 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1 1 1) 2.873 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 2.880 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1) 2.887 * * * [progress]: generating series expansions 2.887 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 2.887 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 2.887 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.887 * [taylor]: Taking taylor expansion of 1.0 in x 2.887 * [taylor]: Taking taylor expansion of (cos x) in x 2.887 * [taylor]: Taking taylor expansion of x in x 2.887 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.887 * [taylor]: Taking taylor expansion of 1.0 in x 2.887 * [taylor]: Taking taylor expansion of (cos x) in x 2.887 * [taylor]: Taking taylor expansion of x in x 2.889 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 2.889 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.889 * [taylor]: Taking taylor expansion of 1.0 in x 2.889 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.889 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.889 * [taylor]: Taking taylor expansion of x in x 2.889 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.889 * [taylor]: Taking taylor expansion of 1.0 in x 2.889 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.889 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.889 * [taylor]: Taking taylor expansion of x in x 2.890 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 2.890 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.890 * [taylor]: Taking taylor expansion of 1.0 in x 2.890 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.890 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.890 * [taylor]: Taking taylor expansion of -1 in x 2.890 * [taylor]: Taking taylor expansion of x in x 2.890 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.890 * [taylor]: Taking taylor expansion of 1.0 in x 2.890 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.890 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.890 * [taylor]: Taking taylor expansion of -1 in x 2.890 * [taylor]: Taking taylor expansion of x in x 2.890 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1 1 1) 2.890 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 2.890 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.890 * [taylor]: Taking taylor expansion of 1.0 in x 2.890 * [taylor]: Taking taylor expansion of (cos x) in x 2.890 * [taylor]: Taking taylor expansion of x in x 2.890 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.890 * [taylor]: Taking taylor expansion of 1.0 in x 2.891 * [taylor]: Taking taylor expansion of (cos x) in x 2.891 * [taylor]: Taking taylor expansion of x in x 2.892 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 2.892 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.892 * [taylor]: Taking taylor expansion of 1.0 in x 2.892 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.892 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.892 * [taylor]: Taking taylor expansion of x in x 2.892 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.892 * [taylor]: Taking taylor expansion of 1.0 in x 2.892 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.892 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.892 * [taylor]: Taking taylor expansion of x in x 2.893 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 2.893 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.893 * [taylor]: Taking taylor expansion of 1.0 in x 2.893 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.893 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.893 * [taylor]: Taking taylor expansion of -1 in x 2.893 * [taylor]: Taking taylor expansion of x in x 2.893 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.893 * [taylor]: Taking taylor expansion of 1.0 in x 2.893 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.893 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.893 * [taylor]: Taking taylor expansion of -1 in x 2.893 * [taylor]: Taking taylor expansion of x in x 2.894 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 2.894 * [approximate]: Taking taylor expansion of (pow (pow (- 1.0 (cos x)) 2) 1/3) in (x) around 0 2.894 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos x)) 2) 1/3) in x 2.894 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (cos x)) 2)))) in x 2.894 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (cos x)) 2))) in x 2.894 * [taylor]: Taking taylor expansion of 1/3 in x 2.894 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (cos x)) 2)) in x 2.894 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos x)) 2) in x 2.894 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.894 * [taylor]: Taking taylor expansion of 1.0 in x 2.894 * [taylor]: Taking taylor expansion of (cos x) in x 2.894 * [taylor]: Taking taylor expansion of x in x 2.894 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos x)) 2) 1/3) in x 2.894 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (cos x)) 2)))) in x 2.894 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (cos x)) 2))) in x 2.894 * [taylor]: Taking taylor expansion of 1/3 in x 2.894 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (cos x)) 2)) in x 2.894 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos x)) 2) in x 2.894 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.894 * [taylor]: Taking taylor expansion of 1.0 in x 2.894 * [taylor]: Taking taylor expansion of (cos x) in x 2.894 * [taylor]: Taking taylor expansion of x in x 2.900 * [approximate]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ 1 x))) 2) 1/3) in (x) around 0 2.900 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ 1 x))) 2) 1/3) in x 2.900 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (cos (/ 1 x))) 2)))) in x 2.900 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (cos (/ 1 x))) 2))) in x 2.900 * [taylor]: Taking taylor expansion of 1/3 in x 2.900 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (cos (/ 1 x))) 2)) in x 2.900 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ 1 x))) 2) in x 2.900 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.900 * [taylor]: Taking taylor expansion of 1.0 in x 2.900 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.900 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.900 * [taylor]: Taking taylor expansion of x in x 2.900 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ 1 x))) 2) 1/3) in x 2.900 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (cos (/ 1 x))) 2)))) in x 2.900 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (cos (/ 1 x))) 2))) in x 2.900 * [taylor]: Taking taylor expansion of 1/3 in x 2.901 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (cos (/ 1 x))) 2)) in x 2.901 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ 1 x))) 2) in x 2.901 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.901 * [taylor]: Taking taylor expansion of 1.0 in x 2.901 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.901 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.901 * [taylor]: Taking taylor expansion of x in x 2.913 * [approximate]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ -1 x))) 2) 1/3) in (x) around 0 2.913 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ -1 x))) 2) 1/3) in x 2.913 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (cos (/ -1 x))) 2)))) in x 2.913 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (cos (/ -1 x))) 2))) in x 2.913 * [taylor]: Taking taylor expansion of 1/3 in x 2.913 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (cos (/ -1 x))) 2)) in x 2.913 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ -1 x))) 2) in x 2.914 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.914 * [taylor]: Taking taylor expansion of 1.0 in x 2.914 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.914 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.914 * [taylor]: Taking taylor expansion of -1 in x 2.914 * [taylor]: Taking taylor expansion of x in x 2.914 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ -1 x))) 2) 1/3) in x 2.914 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (cos (/ -1 x))) 2)))) in x 2.914 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (cos (/ -1 x))) 2))) in x 2.914 * [taylor]: Taking taylor expansion of 1/3 in x 2.914 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (cos (/ -1 x))) 2)) in x 2.914 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ -1 x))) 2) in x 2.914 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.914 * [taylor]: Taking taylor expansion of 1.0 in x 2.914 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.914 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.914 * [taylor]: Taking taylor expansion of -1 in x 2.914 * [taylor]: Taking taylor expansion of x in x 2.924 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1) 2.925 * [approximate]: Taking taylor expansion of (pow (pow (- 1.0 (cos x)) 2) 1/3) in (x) around 0 2.925 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos x)) 2) 1/3) in x 2.925 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (cos x)) 2)))) in x 2.925 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (cos x)) 2))) in x 2.925 * [taylor]: Taking taylor expansion of 1/3 in x 2.925 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (cos x)) 2)) in x 2.925 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos x)) 2) in x 2.925 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.925 * [taylor]: Taking taylor expansion of 1.0 in x 2.925 * [taylor]: Taking taylor expansion of (cos x) in x 2.925 * [taylor]: Taking taylor expansion of x in x 2.925 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos x)) 2) 1/3) in x 2.925 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (cos x)) 2)))) in x 2.925 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (cos x)) 2))) in x 2.925 * [taylor]: Taking taylor expansion of 1/3 in x 2.925 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (cos x)) 2)) in x 2.925 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos x)) 2) in x 2.925 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.925 * [taylor]: Taking taylor expansion of 1.0 in x 2.925 * [taylor]: Taking taylor expansion of (cos x) in x 2.925 * [taylor]: Taking taylor expansion of x in x 2.930 * [approximate]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ 1 x))) 2) 1/3) in (x) around 0 2.930 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ 1 x))) 2) 1/3) in x 2.930 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (cos (/ 1 x))) 2)))) in x 2.930 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (cos (/ 1 x))) 2))) in x 2.930 * [taylor]: Taking taylor expansion of 1/3 in x 2.930 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (cos (/ 1 x))) 2)) in x 2.930 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ 1 x))) 2) in x 2.930 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.930 * [taylor]: Taking taylor expansion of 1.0 in x 2.930 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.930 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.931 * [taylor]: Taking taylor expansion of x in x 2.931 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ 1 x))) 2) 1/3) in x 2.931 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (cos (/ 1 x))) 2)))) in x 2.931 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (cos (/ 1 x))) 2))) in x 2.931 * [taylor]: Taking taylor expansion of 1/3 in x 2.931 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (cos (/ 1 x))) 2)) in x 2.931 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ 1 x))) 2) in x 2.931 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.931 * [taylor]: Taking taylor expansion of 1.0 in x 2.931 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.931 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.931 * [taylor]: Taking taylor expansion of x in x 2.941 * [approximate]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ -1 x))) 2) 1/3) in (x) around 0 2.941 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ -1 x))) 2) 1/3) in x 2.941 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (cos (/ -1 x))) 2)))) in x 2.941 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (cos (/ -1 x))) 2))) in x 2.941 * [taylor]: Taking taylor expansion of 1/3 in x 2.941 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (cos (/ -1 x))) 2)) in x 2.941 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ -1 x))) 2) in x 2.941 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.941 * [taylor]: Taking taylor expansion of 1.0 in x 2.941 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.941 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.941 * [taylor]: Taking taylor expansion of -1 in x 2.941 * [taylor]: Taking taylor expansion of x in x 2.942 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ -1 x))) 2) 1/3) in x 2.942 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (cos (/ -1 x))) 2)))) in x 2.942 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (cos (/ -1 x))) 2))) in x 2.942 * [taylor]: Taking taylor expansion of 1/3 in x 2.942 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (cos (/ -1 x))) 2)) in x 2.942 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ -1 x))) 2) in x 2.942 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.942 * [taylor]: Taking taylor expansion of 1.0 in x 2.942 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.942 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.942 * [taylor]: Taking taylor expansion of -1 in x 2.942 * [taylor]: Taking taylor expansion of x in x 2.952 * * * [progress]: simplifying candidates 2.953 * [simplify]: Simplifying using # : (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (neg (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (neg (cos x)) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (neg (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (neg (cos x)) (log (* (cbrt (exp (cbrt (pow (- 1.0 (cos x)) 2)))) (cbrt (exp (cbrt (pow (- 1.0 (cos x)) 2)))))) (log (cbrt (exp (cbrt (pow (- 1.0 (cos x)) 2))))) (log (sqrt (exp (cbrt (pow (- 1.0 (cos x)) 2))))) (log (sqrt (exp (cbrt (pow (- 1.0 (cos x)) 2))))) (log 1) (log (exp (cbrt (pow (- 1.0 (cos x)) 2)))) (log (exp (cbrt (pow (- 1.0 (cos x)) 2)))) (log (exp (cbrt (pow (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 2)))) (log (exp (cbrt (pow (sqrt (- 1.0 (cos x))) 2)))) (log (exp (cbrt (pow 1 2)))) (log (exp (cbrt (pow (+ (sqrt 1.0) (sqrt (cos x))) 2)))) (log (exp (cbrt (pow 1 2)))) (log (exp (cbrt (- 1.0 (cos x))))) (log (exp (cbrt (* (cbrt (pow (- 1.0 (cos x)) 2)) (cbrt (pow (- 1.0 (cos x)) 2)))))) (log (exp (cbrt (sqrt (pow (- 1.0 (cos x)) 2))))) (log (exp (cbrt 1))) (log (exp (cbrt (pow (- 1.0 (cos x)) (/ 2 2))))) (log (exp (* (cbrt (cbrt (pow (- 1.0 (cos x)) 2))) (cbrt (cbrt (pow (- 1.0 (cos x)) 2)))))) (log (exp (sqrt (cbrt (pow (- 1.0 (cos x)) 2))))) (log (exp 1)) (log (log (exp (cbrt (pow (- 1.0 (cos x)) 2))))) (exp (log (exp (cbrt (pow (- 1.0 (cos x)) 2))))) (* (cbrt (log (exp (cbrt (pow (- 1.0 (cos x)) 2))))) (cbrt (log (exp (cbrt (pow (- 1.0 (cos x)) 2)))))) (cbrt (log (exp (cbrt (pow (- 1.0 (cos x)) 2))))) (* (* (log (exp (cbrt (pow (- 1.0 (cos x)) 2)))) (log (exp (cbrt (pow (- 1.0 (cos x)) 2))))) (log (exp (cbrt (pow (- 1.0 (cos x)) 2))))) (sqrt (log (exp (cbrt (pow (- 1.0 (cos x)) 2))))) (sqrt (log (exp (cbrt (pow (- 1.0 (cos x)) 2))))) (log (cbrt (pow (- 1.0 (cos x)) 2))) (exp (cbrt (pow (- 1.0 (cos x)) 2))) (cbrt (pow (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 2)) (cbrt (pow (cbrt (- 1.0 (cos x))) 2)) (cbrt (pow (sqrt (- 1.0 (cos x))) 2)) (cbrt (pow (sqrt (- 1.0 (cos x))) 2)) (cbrt (pow 1 2)) (cbrt (pow (- 1.0 (cos x)) 2)) (cbrt (pow (+ (sqrt 1.0) (sqrt (cos x))) 2)) (cbrt (pow (- (sqrt 1.0) (sqrt (cos x))) 2)) (cbrt (pow 1 2)) (cbrt (pow (- 1.0 (cos x)) 2)) (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))) (cbrt (* (cbrt (pow (- 1.0 (cos x)) 2)) (cbrt (pow (- 1.0 (cos x)) 2)))) (cbrt (cbrt (pow (- 1.0 (cos x)) 2))) (cbrt (sqrt (pow (- 1.0 (cos x)) 2))) (cbrt (sqrt (pow (- 1.0 (cos x)) 2))) (cbrt 1) (cbrt (pow (- 1.0 (cos x)) 2)) (cbrt (pow (- 1.0 (cos x)) (/ 2 2))) (cbrt (pow (- 1.0 (cos x)) (/ 2 2))) (* (cbrt (cbrt (pow (- 1.0 (cos x)) 2))) (cbrt (cbrt (pow (- 1.0 (cos x)) 2)))) (cbrt (cbrt (pow (- 1.0 (cos x)) 2))) (* (* (cbrt (pow (- 1.0 (cos x)) 2)) (cbrt (pow (- 1.0 (cos x)) 2))) (cbrt (pow (- 1.0 (cos x)) 2))) (sqrt (cbrt (pow (- 1.0 (cos x)) 2))) (sqrt (cbrt (pow (- 1.0 (cos x)) 2))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (exp (* 1/3 (+ (log 1/4) (* 4 (log x))))) (* 7/6480 (* (pow x 4) (exp (* 1/3 (+ (log 1/4) (* 4 (log x)))))))) (* 1/18 (* (pow x 2) (exp (* 1/3 (+ (log 1/4) (* 4 (log x)))))))) (pow (pow (- 1.0 (cos x)) 2) 1/3) (pow (pow (- 1.0 (cos x)) 2) 1/3) (- (+ (exp (* 1/3 (+ (log 1/4) (* 4 (log x))))) (* 7/6480 (* (pow x 4) (exp (* 1/3 (+ (log 1/4) (* 4 (log x)))))))) (* 1/18 (* (pow x 2) (exp (* 1/3 (+ (log 1/4) (* 4 (log x)))))))) (pow (pow (- 1.0 (cos x)) 2) 1/3) (pow (pow (- 1.0 (cos x)) 2) 1/3) 2.957 * * [simplify]: iteration 0 : 129 enodes (cost 932 ) 2.971 * * [simplify]: iteration 1 : 231 enodes (cost 843 ) 3.001 * * [simplify]: iteration 2 : 519 enodes (cost 724 ) 3.089 * * [simplify]: iteration 3 : 1411 enodes (cost 690 ) 3.523 * * [simplify]: iteration 4 : 4400 enodes (cost 686 ) 4.402 * * [simplify]: iteration done : 5000 enodes (cost 686 ) 4.403 * [simplify]: Simplified to: (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (pow (cbrt (- 1.0 (cos x))) 2) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0)) (neg (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (neg (cos x)) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (pow (cbrt (- 1.0 (cos x))) 2) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0)) (neg (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (neg (cos x)) (* 2 (log (cbrt (exp (cbrt (pow (- 1.0 (cos x)) 2)))))) (log (cbrt (exp (cbrt (pow (- 1.0 (cos x)) 2))))) (log (sqrt (exp (cbrt (pow (- 1.0 (cos x)) 2))))) (log (sqrt (exp (cbrt (pow (- 1.0 (cos x)) 2))))) 0 (cbrt (pow (- 1.0 (cos x)) 2)) (cbrt (pow (- 1.0 (cos x)) 2)) (cbrt (pow (cbrt (- 1.0 (cos x))) 4)) (cbrt (- 1.0 (cos x))) 1 (cbrt (pow (+ (sqrt 1.0) (sqrt (cos x))) 2)) 1 (cbrt (- 1.0 (cos x))) (cbrt (pow (pow (- 1.0 (cos x)) 2) 2/3)) (cbrt (fabs (- 1.0 (cos x)))) 1 (cbrt (- 1.0 (cos x))) (* (cbrt (cbrt (pow (- 1.0 (cos x)) 2))) (cbrt (cbrt (pow (- 1.0 (cos x)) 2)))) (sqrt (cbrt (pow (- 1.0 (cos x)) 2))) 1 (* 2/3 (log (- 1.0 (cos x)))) (exp (cbrt (pow (- 1.0 (cos x)) 2))) (* (cbrt (cbrt (pow (- 1.0 (cos x)) 2))) (cbrt (cbrt (pow (- 1.0 (cos x)) 2)))) (cbrt (cbrt (pow (- 1.0 (cos x)) 2))) (pow (- 1.0 (cos x)) 2) (sqrt (cbrt (pow (- 1.0 (cos x)) 2))) (sqrt (cbrt (pow (- 1.0 (cos x)) 2))) (* 2/3 (log (- 1.0 (cos x)))) (exp (cbrt (pow (- 1.0 (cos x)) 2))) (cbrt (pow (cbrt (- 1.0 (cos x))) 4)) (cbrt (pow (cbrt (- 1.0 (cos x))) 2)) (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))) 1 (cbrt (pow (- 1.0 (cos x)) 2)) (cbrt (pow (+ (sqrt 1.0) (sqrt (cos x))) 2)) (cbrt (pow (- (sqrt 1.0) (sqrt (cos x))) 2)) 1 (cbrt (pow (- 1.0 (cos x)) 2)) (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))) (cbrt (pow (pow (- 1.0 (cos x)) 2) 2/3)) (cbrt (cbrt (pow (- 1.0 (cos x)) 2))) (cbrt (fabs (- 1.0 (cos x)))) (cbrt (fabs (- 1.0 (cos x)))) 1 (cbrt (pow (- 1.0 (cos x)) 2)) (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))) (* (cbrt (cbrt (pow (- 1.0 (cos x)) 2))) (cbrt (cbrt (pow (- 1.0 (cos x)) 2)))) (cbrt (cbrt (pow (- 1.0 (cos x)) 2))) (pow (- 1.0 (cos x)) 2) (sqrt (cbrt (pow (- 1.0 (cos x)) 2))) (sqrt (cbrt (pow (- 1.0 (cos x)) 2))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (* (cbrt (* (pow x 4) 1/4)) (+ (* (pow x 2) -1/18) (+ (* 7/6480 (pow x 4)) 1))) (cbrt (pow (- 1.0 (cos x)) 2)) (cbrt (pow (- 1.0 (cos x)) 2)) (* (cbrt (* (pow x 4) 1/4)) (+ (* (pow x 2) -1/18) (+ (* 7/6480 (pow x 4)) 1))) (cbrt (pow (- 1.0 (cos x)) 2)) (cbrt (pow (- 1.0 (cos x)) 2)) 4.404 * * * [progress]: adding candidates to table 4.565 * * [progress]: iteration 4 / 4 4.565 * * * [progress]: picking best candidate 4.608 * * * * [pick]: Picked # 4.608 * * * [progress]: localizing error 4.626 * * * [progress]: generating rewritten candidates 4.626 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 4.632 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 1) 4.636 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1 1 1) 4.641 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 4.650 * * * [progress]: generating series expansions 4.650 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 4.650 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 4.650 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.650 * [taylor]: Taking taylor expansion of 1.0 in x 4.650 * [taylor]: Taking taylor expansion of (cos x) in x 4.650 * [taylor]: Taking taylor expansion of x in x 4.650 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.650 * [taylor]: Taking taylor expansion of 1.0 in x 4.650 * [taylor]: Taking taylor expansion of (cos x) in x 4.650 * [taylor]: Taking taylor expansion of x in x 4.652 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 4.652 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.652 * [taylor]: Taking taylor expansion of 1.0 in x 4.652 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.652 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.652 * [taylor]: Taking taylor expansion of x in x 4.652 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.652 * [taylor]: Taking taylor expansion of 1.0 in x 4.652 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.652 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.652 * [taylor]: Taking taylor expansion of x in x 4.652 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 4.652 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.652 * [taylor]: Taking taylor expansion of 1.0 in x 4.652 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.652 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.652 * [taylor]: Taking taylor expansion of -1 in x 4.652 * [taylor]: Taking taylor expansion of x in x 4.653 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.653 * [taylor]: Taking taylor expansion of 1.0 in x 4.653 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.653 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.653 * [taylor]: Taking taylor expansion of -1 in x 4.653 * [taylor]: Taking taylor expansion of x in x 4.653 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 1) 4.653 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 4.653 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.653 * [taylor]: Taking taylor expansion of 1.0 in x 4.653 * [taylor]: Taking taylor expansion of (cos x) in x 4.653 * [taylor]: Taking taylor expansion of x in x 4.653 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.653 * [taylor]: Taking taylor expansion of 1.0 in x 4.653 * [taylor]: Taking taylor expansion of (cos x) in x 4.653 * [taylor]: Taking taylor expansion of x in x 4.655 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 4.655 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.655 * [taylor]: Taking taylor expansion of 1.0 in x 4.655 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.655 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.655 * [taylor]: Taking taylor expansion of x in x 4.655 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.655 * [taylor]: Taking taylor expansion of 1.0 in x 4.655 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.655 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.655 * [taylor]: Taking taylor expansion of x in x 4.656 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 4.656 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.656 * [taylor]: Taking taylor expansion of 1.0 in x 4.656 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.656 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.656 * [taylor]: Taking taylor expansion of -1 in x 4.656 * [taylor]: Taking taylor expansion of x in x 4.656 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.656 * [taylor]: Taking taylor expansion of 1.0 in x 4.656 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.656 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.656 * [taylor]: Taking taylor expansion of -1 in x 4.656 * [taylor]: Taking taylor expansion of x in x 4.656 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1 1 1) 4.656 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 4.656 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.656 * [taylor]: Taking taylor expansion of 1.0 in x 4.656 * [taylor]: Taking taylor expansion of (cos x) in x 4.656 * [taylor]: Taking taylor expansion of x in x 4.656 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.656 * [taylor]: Taking taylor expansion of 1.0 in x 4.656 * [taylor]: Taking taylor expansion of (cos x) in x 4.656 * [taylor]: Taking taylor expansion of x in x 4.658 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 4.658 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.658 * [taylor]: Taking taylor expansion of 1.0 in x 4.658 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.658 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.658 * [taylor]: Taking taylor expansion of x in x 4.658 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.658 * [taylor]: Taking taylor expansion of 1.0 in x 4.658 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.658 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.658 * [taylor]: Taking taylor expansion of x in x 4.659 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 4.659 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.659 * [taylor]: Taking taylor expansion of 1.0 in x 4.659 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.659 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.659 * [taylor]: Taking taylor expansion of -1 in x 4.659 * [taylor]: Taking taylor expansion of x in x 4.659 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.659 * [taylor]: Taking taylor expansion of 1.0 in x 4.659 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.659 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.659 * [taylor]: Taking taylor expansion of -1 in x 4.659 * [taylor]: Taking taylor expansion of x in x 4.659 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 4.660 * [approximate]: Taking taylor expansion of (pow (pow (- 1.0 (cos x)) 2) 1/3) in (x) around 0 4.660 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos x)) 2) 1/3) in x 4.660 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (cos x)) 2)))) in x 4.660 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (cos x)) 2))) in x 4.660 * [taylor]: Taking taylor expansion of 1/3 in x 4.660 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (cos x)) 2)) in x 4.660 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos x)) 2) in x 4.660 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.660 * [taylor]: Taking taylor expansion of 1.0 in x 4.660 * [taylor]: Taking taylor expansion of (cos x) in x 4.660 * [taylor]: Taking taylor expansion of x in x 4.660 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos x)) 2) 1/3) in x 4.660 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (cos x)) 2)))) in x 4.660 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (cos x)) 2))) in x 4.660 * [taylor]: Taking taylor expansion of 1/3 in x 4.660 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (cos x)) 2)) in x 4.660 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos x)) 2) in x 4.660 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.660 * [taylor]: Taking taylor expansion of 1.0 in x 4.660 * [taylor]: Taking taylor expansion of (cos x) in x 4.660 * [taylor]: Taking taylor expansion of x in x 4.665 * [approximate]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ 1 x))) 2) 1/3) in (x) around 0 4.665 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ 1 x))) 2) 1/3) in x 4.665 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (cos (/ 1 x))) 2)))) in x 4.665 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (cos (/ 1 x))) 2))) in x 4.665 * [taylor]: Taking taylor expansion of 1/3 in x 4.666 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (cos (/ 1 x))) 2)) in x 4.666 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ 1 x))) 2) in x 4.666 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.666 * [taylor]: Taking taylor expansion of 1.0 in x 4.666 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.666 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.666 * [taylor]: Taking taylor expansion of x in x 4.666 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ 1 x))) 2) 1/3) in x 4.666 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (cos (/ 1 x))) 2)))) in x 4.666 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (cos (/ 1 x))) 2))) in x 4.666 * [taylor]: Taking taylor expansion of 1/3 in x 4.666 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (cos (/ 1 x))) 2)) in x 4.666 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ 1 x))) 2) in x 4.666 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.666 * [taylor]: Taking taylor expansion of 1.0 in x 4.666 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.666 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.666 * [taylor]: Taking taylor expansion of x in x 4.676 * [approximate]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ -1 x))) 2) 1/3) in (x) around 0 4.676 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ -1 x))) 2) 1/3) in x 4.676 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (cos (/ -1 x))) 2)))) in x 4.676 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (cos (/ -1 x))) 2))) in x 4.676 * [taylor]: Taking taylor expansion of 1/3 in x 4.676 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (cos (/ -1 x))) 2)) in x 4.676 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ -1 x))) 2) in x 4.676 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.676 * [taylor]: Taking taylor expansion of 1.0 in x 4.676 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.676 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.676 * [taylor]: Taking taylor expansion of -1 in x 4.676 * [taylor]: Taking taylor expansion of x in x 4.677 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ -1 x))) 2) 1/3) in x 4.677 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (cos (/ -1 x))) 2)))) in x 4.677 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (cos (/ -1 x))) 2))) in x 4.677 * [taylor]: Taking taylor expansion of 1/3 in x 4.677 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (cos (/ -1 x))) 2)) in x 4.677 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ -1 x))) 2) in x 4.677 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.677 * [taylor]: Taking taylor expansion of 1.0 in x 4.677 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.677 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.677 * [taylor]: Taking taylor expansion of -1 in x 4.677 * [taylor]: Taking taylor expansion of x in x 4.687 * * * [progress]: simplifying candidates 4.688 * [simplify]: Simplifying using # : (log (exp 1.0)) (log (exp (neg (cos x)))) (log (exp 1.0)) (log (exp (neg (cos x)))) (log (* (cbrt (exp (- 1.0 (cos x)))) (cbrt (exp (- 1.0 (cos x)))))) (log (cbrt (exp (- 1.0 (cos x))))) (log (sqrt (exp (- 1.0 (cos x))))) (log (sqrt (exp (- 1.0 (cos x))))) (log 1) (log (exp (- 1.0 (cos x)))) (log (exp 1.0)) (log (exp (cos x))) (log (exp (- 1.0 (cos x)))) (log (exp (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (log (exp (sqrt (- 1.0 (cos x))))) (log (exp 1)) (log (exp (+ (sqrt 1.0) (sqrt (cos x))))) (log (exp 1)) (log (log (exp (- 1.0 (cos x))))) (exp (log (exp (- 1.0 (cos x))))) (* (cbrt (log (exp (- 1.0 (cos x))))) (cbrt (log (exp (- 1.0 (cos x)))))) (cbrt (log (exp (- 1.0 (cos x))))) (* (* (log (exp (- 1.0 (cos x)))) (log (exp (- 1.0 (cos x))))) (log (exp (- 1.0 (cos x))))) (sqrt (log (exp (- 1.0 (cos x))))) (sqrt (log (exp (- 1.0 (cos x))))) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (neg (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (neg (cos x)) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (neg (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (neg (cos x)) (log (* (cbrt (exp (cbrt (pow (- 1.0 (cos x)) 2)))) (cbrt (exp (cbrt (pow (- 1.0 (cos x)) 2)))))) (log (cbrt (exp (cbrt (pow (- 1.0 (cos x)) 2))))) (log (sqrt (exp (cbrt (pow (- 1.0 (cos x)) 2))))) (log (sqrt (exp (cbrt (pow (- 1.0 (cos x)) 2))))) (log 1) (log (exp (cbrt (pow (- 1.0 (cos x)) 2)))) (log (exp (cbrt (pow (- 1.0 (cos x)) 2)))) (log (exp (cbrt (pow (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 2)))) (log (exp (cbrt (pow (sqrt (- 1.0 (cos x))) 2)))) (log (exp (cbrt (pow 1 2)))) (log (exp (cbrt (pow (+ (sqrt 1.0) (sqrt (cos x))) 2)))) (log (exp (cbrt (pow 1 2)))) (log (exp (cbrt (- 1.0 (cos x))))) (log (exp (cbrt (* (cbrt (pow (- 1.0 (cos x)) 2)) (cbrt (pow (- 1.0 (cos x)) 2)))))) (log (exp (cbrt (sqrt (pow (- 1.0 (cos x)) 2))))) (log (exp (cbrt 1))) (log (exp (cbrt (pow (- 1.0 (cos x)) (/ 2 2))))) (log (exp (* (cbrt (cbrt (pow (- 1.0 (cos x)) 2))) (cbrt (cbrt (pow (- 1.0 (cos x)) 2)))))) (log (exp (sqrt (cbrt (pow (- 1.0 (cos x)) 2))))) (log (exp 1)) (log (log (exp (cbrt (pow (- 1.0 (cos x)) 2))))) (exp (log (exp (cbrt (pow (- 1.0 (cos x)) 2))))) (* (cbrt (log (exp (cbrt (pow (- 1.0 (cos x)) 2))))) (cbrt (log (exp (cbrt (pow (- 1.0 (cos x)) 2)))))) (cbrt (log (exp (cbrt (pow (- 1.0 (cos x)) 2))))) (* (* (log (exp (cbrt (pow (- 1.0 (cos x)) 2)))) (log (exp (cbrt (pow (- 1.0 (cos x)) 2))))) (log (exp (cbrt (pow (- 1.0 (cos x)) 2))))) (sqrt (log (exp (cbrt (pow (- 1.0 (cos x)) 2))))) (sqrt (log (exp (cbrt (pow (- 1.0 (cos x)) 2))))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (exp (* 1/3 (+ (log 1/4) (* 4 (log x))))) (* 7/6480 (* (pow x 4) (exp (* 1/3 (+ (log 1/4) (* 4 (log x)))))))) (* 1/18 (* (pow x 2) (exp (* 1/3 (+ (log 1/4) (* 4 (log x)))))))) (pow (pow (- 1.0 (cos x)) 2) 1/3) (pow (pow (- 1.0 (cos x)) 2) 1/3) 4.695 * * [simplify]: iteration 0 : 147 enodes (cost 838 ) 4.710 * * [simplify]: iteration 1 : 257 enodes (cost 715 ) 4.740 * * [simplify]: iteration 2 : 566 enodes (cost 645 ) 4.829 * * [simplify]: iteration 3 : 1486 enodes (cost 630 ) 5.318 * * [simplify]: iteration 4 : 4393 enodes (cost 622 ) 6.402 * * [simplify]: iteration done : 5000 enodes (cost 622 ) 6.403 * [simplify]: Simplified to: 1.0 (neg (cos x)) 1.0 (neg (cos x)) (* 2 (log (cbrt (exp (- 1.0 (cos x)))))) (log (cbrt (exp (- 1.0 (cos x))))) (log (sqrt (exp (- 1.0 (cos x))))) (log (sqrt (exp (- 1.0 (cos x))))) 0 (- 1.0 (cos x)) 1.0 (cos x) (- 1.0 (cos x)) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (- 1.0 (cos x))) 1 (+ (sqrt 1.0) (sqrt (cos x))) 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)))) (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)) (+ (* 1.0 1.0) (* (cos x) (+ 1.0 (cos x)))) (neg (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (neg (cos x)) (* 2 (log (cbrt (exp (cbrt (pow (- 1.0 (cos x)) 2)))))) (log (cbrt (exp (cbrt (pow (- 1.0 (cos x)) 2))))) (log (sqrt (exp (cbrt (pow (- 1.0 (cos x)) 2))))) (log (sqrt (exp (cbrt (pow (- 1.0 (cos x)) 2))))) 0 (cbrt (pow (- 1.0 (cos x)) 2)) (cbrt (pow (- 1.0 (cos x)) 2)) (cbrt (pow (cbrt (- 1.0 (cos x))) 4)) (cbrt (- 1.0 (cos x))) 1 (cbrt (pow (+ (sqrt 1.0) (sqrt (cos x))) 2)) 1 (cbrt (- 1.0 (cos x))) (cbrt (pow (pow (- 1.0 (cos x)) 2) 2/3)) (cbrt (fabs (- 1.0 (cos x)))) 1 (cbrt (- 1.0 (cos x))) (* (cbrt (cbrt (pow (- 1.0 (cos x)) 2))) (cbrt (cbrt (pow (- 1.0 (cos x)) 2)))) (sqrt (cbrt (pow (- 1.0 (cos x)) 2))) 1 (* 2/3 (log (- 1.0 (cos x)))) (exp (cbrt (pow (- 1.0 (cos x)) 2))) (* (cbrt (cbrt (pow (- 1.0 (cos x)) 2))) (cbrt (cbrt (pow (- 1.0 (cos x)) 2)))) (cbrt (cbrt (pow (- 1.0 (cos x)) 2))) (pow (- 1.0 (cos x)) 2) (sqrt (cbrt (pow (- 1.0 (cos x)) 2))) (sqrt (cbrt (pow (- 1.0 (cos x)) 2))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (* (* (cbrt 1/4) (pow x 4/3)) (+ (+ (* 7/6480 (pow x 4)) 1) (* (pow x 2) -1/18))) (cbrt (pow (- 1.0 (cos x)) 2)) (cbrt (pow (- 1.0 (cos x)) 2)) 6.403 * * * [progress]: adding candidates to table 6.598 * [progress]: [Phase 3 of 3] Extracting. 6.598 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #) 6.601 * * * [regime-changes]: Trying 1 branch expressions: (x) 6.601 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # #) 6.683 * * * [regime]: Found split indices: #