14.001 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.056 * * * [progress]: [2/2] Setting up program. 0.063 * [progress]: [Phase 2 of 3] Improving. 0.063 * [simplify]: Simplifying using # : (/ (- 1.0 (cos x)) (* x x)) 0.064 * * [simplify]: iteration 0 : 6 enodes (cost 8 ) 0.064 * * [simplify]: iteration 1 : 13 enodes (cost 8 ) 0.066 * * [simplify]: iteration 2 : 21 enodes (cost 8 ) 0.068 * * [simplify]: iteration 3 : 26 enodes (cost 8 ) 0.072 * * [simplify]: iteration 4 : 29 enodes (cost 8 ) 0.074 * * [simplify]: iteration done : 29 enodes (cost 8 ) 0.074 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (* x x)) 0.075 * * [progress]: iteration 1 / 4 0.075 * * * [progress]: picking best candidate 0.077 * * * * [pick]: Picked # 0.077 * * * [progress]: localizing error 0.083 * * * [progress]: generating rewritten candidates 0.083 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.090 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.095 * * * [progress]: generating series expansions 0.095 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.095 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.095 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.095 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.095 * [taylor]: Taking taylor expansion of 1.0 in x 0.095 * [taylor]: Taking taylor expansion of (cos x) in x 0.096 * [taylor]: Taking taylor expansion of x in x 0.096 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.096 * [taylor]: Taking taylor expansion of x in x 0.096 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.096 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.096 * [taylor]: Taking taylor expansion of 1.0 in x 0.096 * [taylor]: Taking taylor expansion of (cos x) in x 0.096 * [taylor]: Taking taylor expansion of x in x 0.096 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.096 * [taylor]: Taking taylor expansion of x in x 0.098 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.098 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 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 0.098 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.098 * [taylor]: Taking taylor expansion of 1.0 in x 0.099 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.099 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.099 * [taylor]: Taking taylor expansion of x in x 0.099 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 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 0.099 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.099 * [taylor]: Taking taylor expansion of 1.0 in x 0.099 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.099 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.099 * [taylor]: Taking taylor expansion of x in x 0.100 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in (x) around 0 0.100 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in x 0.100 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.100 * [taylor]: Taking taylor expansion of x in x 0.100 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.100 * [taylor]: Taking taylor expansion of 1.0 in x 0.100 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.100 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.100 * [taylor]: Taking taylor expansion of -1 in x 0.100 * [taylor]: Taking taylor expansion of x in x 0.100 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ -1 x)))) in x 0.100 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.100 * [taylor]: Taking taylor expansion of x in x 0.100 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.100 * [taylor]: Taking taylor expansion of 1.0 in x 0.100 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.100 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.100 * [taylor]: Taking taylor expansion of -1 in x 0.100 * [taylor]: Taking taylor expansion of x in x 0.102 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.102 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.102 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.102 * [taylor]: Taking taylor expansion of 1.0 in x 0.102 * [taylor]: Taking taylor expansion of (cos x) in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.102 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.102 * [taylor]: Taking taylor expansion of 1.0 in x 0.102 * [taylor]: Taking taylor expansion of (cos x) in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.104 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 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 0.104 * [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 0.104 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.104 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.104 * [taylor]: Taking taylor expansion of 1.0 in x 0.104 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.104 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.104 * [taylor]: Taking taylor expansion of -1 in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.104 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.104 * [taylor]: Taking taylor expansion of 1.0 in x 0.104 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.104 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.104 * [taylor]: Taking taylor expansion of -1 in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.105 * * * [progress]: simplifying candidates 0.105 * [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)) 0.108 * * [simplify]: iteration 0 : 88 enodes (cost 507 ) 0.122 * * [simplify]: iteration 1 : 218 enodes (cost 489 ) 0.170 * * [simplify]: iteration 2 : 636 enodes (cost 441 ) 0.518 * * [simplify]: iteration 3 : 2192 enodes (cost 441 ) 1.916 * * [simplify]: iteration done : 5000 enodes (cost 440 ) 1.916 * [simplify]: Simplified to: (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (exp (/ (- 1.0 (cos x)) (* x x))) (pow (/ (- 1.0 (cos x)) (* x x)) 3) (pow (/ (- 1.0 (cos x)) (* x x)) 3) (* (cbrt (/ (- 1.0 (cos x)) (* x x))) (cbrt (/ (- 1.0 (cos x)) (* x x)))) (cbrt (/ (- 1.0 (cos x)) (* x x))) (pow (/ (- 1.0 (cos x)) (* x x)) 3) (sqrt (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (- (cos x) 1.0) (neg (* x x)) (/ 1.0 (* x x)) (/ (cos x) (* x x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) x) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) x) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 (* x x)) (* x (/ x (- 1.0 (cos x)))) (/ (- 1.0 (cos x)) x) (/ (* x x) (cbrt (- 1.0 (cos x)))) (/ (* x x) (sqrt (- 1.0 (cos x)))) (* x (/ x (- 1.0 (cos x)))) (/ (* x x) (- (sqrt 1.0) (sqrt (cos x)))) (* x (/ x (- 1.0 (cos x)))) (* (+ (* (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)) (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)) 1.922 * * * [progress]: adding candidates to table 2.001 * * [progress]: iteration 2 / 4 2.001 * * * [progress]: picking best candidate 2.029 * * * * [pick]: Picked # 2.029 * * * [progress]: localizing error 2.039 * * * [progress]: generating rewritten candidates 2.039 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 2.043 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1) 2.047 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 2.051 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 2.069 * * * [progress]: generating series expansions 2.069 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 2.069 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 2.069 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.069 * [taylor]: Taking taylor expansion of 1.0 in x 2.069 * [taylor]: Taking taylor expansion of (cos x) in x 2.069 * [taylor]: Taking taylor expansion of x in x 2.069 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.069 * [taylor]: Taking taylor expansion of 1.0 in x 2.069 * [taylor]: Taking taylor expansion of (cos x) in x 2.069 * [taylor]: Taking taylor expansion of x in x 2.071 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 2.071 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.071 * [taylor]: Taking taylor expansion of 1.0 in x 2.071 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.071 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.071 * [taylor]: Taking taylor expansion of x in x 2.071 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.071 * [taylor]: Taking taylor expansion of 1.0 in x 2.071 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.071 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.071 * [taylor]: Taking taylor expansion of x in x 2.071 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 2.071 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.071 * [taylor]: Taking taylor expansion of 1.0 in x 2.071 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.071 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.071 * [taylor]: Taking taylor expansion of -1 in x 2.071 * [taylor]: Taking taylor expansion of x in x 2.072 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.072 * [taylor]: Taking taylor expansion of 1.0 in x 2.072 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.072 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.072 * [taylor]: Taking taylor expansion of -1 in x 2.072 * [taylor]: Taking taylor expansion of x in x 2.072 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1) 2.072 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 2.072 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.072 * [taylor]: Taking taylor expansion of 1.0 in x 2.072 * [taylor]: Taking taylor expansion of (cos x) in x 2.072 * [taylor]: Taking taylor expansion of x in x 2.072 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.072 * [taylor]: Taking taylor expansion of 1.0 in x 2.072 * [taylor]: Taking taylor expansion of (cos x) in x 2.072 * [taylor]: Taking taylor expansion of x in x 2.074 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 2.074 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.074 * [taylor]: Taking taylor expansion of 1.0 in x 2.074 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.074 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.074 * [taylor]: Taking taylor expansion of x in x 2.074 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.074 * [taylor]: Taking taylor expansion of 1.0 in x 2.074 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.074 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.074 * [taylor]: Taking taylor expansion of x in x 2.074 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 2.074 * [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 2.075 * [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 2.075 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 2.075 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 2.075 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.075 * [taylor]: Taking taylor expansion of 1.0 in x 2.075 * [taylor]: Taking taylor expansion of (cos x) in x 2.075 * [taylor]: Taking taylor expansion of x in x 2.075 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.075 * [taylor]: Taking taylor expansion of 1.0 in x 2.075 * [taylor]: Taking taylor expansion of (cos x) in x 2.075 * [taylor]: Taking taylor expansion of x in x 2.077 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 2.077 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.077 * [taylor]: Taking taylor expansion of 1.0 in x 2.077 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.077 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.077 * [taylor]: Taking taylor expansion of x in x 2.077 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.077 * [taylor]: Taking taylor expansion of 1.0 in x 2.077 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.077 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.077 * [taylor]: Taking taylor expansion of x in x 2.078 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 2.078 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.078 * [taylor]: Taking taylor expansion of 1.0 in x 2.078 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.078 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.078 * [taylor]: Taking taylor expansion of -1 in x 2.078 * [taylor]: Taking taylor expansion of x in x 2.078 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.078 * [taylor]: Taking taylor expansion of 1.0 in x 2.078 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.078 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.078 * [taylor]: Taking taylor expansion of -1 in x 2.078 * [taylor]: Taking taylor expansion of x in x 2.078 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 2.078 * [approximate]: Taking taylor expansion of (pow (pow (- 1.0 (cos x)) 2) 1/3) in (x) around 0 2.078 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos x)) 2) 1/3) in x 2.078 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (cos x)) 2)))) in x 2.078 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (cos x)) 2))) in x 2.078 * [taylor]: Taking taylor expansion of 1/3 in x 2.078 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (cos x)) 2)) in x 2.078 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos x)) 2) in x 2.078 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.078 * [taylor]: Taking taylor expansion of 1.0 in x 2.078 * [taylor]: Taking taylor expansion of (cos x) in x 2.078 * [taylor]: Taking taylor expansion of x in x 2.079 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos x)) 2) 1/3) in x 2.079 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (cos x)) 2)))) in x 2.079 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (cos x)) 2))) in x 2.079 * [taylor]: Taking taylor expansion of 1/3 in x 2.079 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (cos x)) 2)) in x 2.079 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos x)) 2) in x 2.079 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.079 * [taylor]: Taking taylor expansion of 1.0 in x 2.079 * [taylor]: Taking taylor expansion of (cos x) in x 2.079 * [taylor]: Taking taylor expansion of x in x 2.084 * [approximate]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ 1 x))) 2) 1/3) in (x) around 0 2.084 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ 1 x))) 2) 1/3) in x 2.084 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (cos (/ 1 x))) 2)))) in x 2.084 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (cos (/ 1 x))) 2))) in x 2.084 * [taylor]: Taking taylor expansion of 1/3 in x 2.084 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (cos (/ 1 x))) 2)) in x 2.084 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ 1 x))) 2) in x 2.084 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.084 * [taylor]: Taking taylor expansion of 1.0 in x 2.084 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.084 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.084 * [taylor]: Taking taylor expansion of x in x 2.085 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ 1 x))) 2) 1/3) in x 2.085 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (cos (/ 1 x))) 2)))) in x 2.085 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (cos (/ 1 x))) 2))) in x 2.085 * [taylor]: Taking taylor expansion of 1/3 in x 2.085 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (cos (/ 1 x))) 2)) in x 2.085 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ 1 x))) 2) in x 2.085 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.085 * [taylor]: Taking taylor expansion of 1.0 in x 2.085 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.085 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.085 * [taylor]: Taking taylor expansion of x in x 2.095 * [approximate]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ -1 x))) 2) 1/3) in (x) around 0 2.095 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ -1 x))) 2) 1/3) in x 2.095 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (cos (/ -1 x))) 2)))) in x 2.095 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (cos (/ -1 x))) 2))) in x 2.095 * [taylor]: Taking taylor expansion of 1/3 in x 2.095 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (cos (/ -1 x))) 2)) in x 2.095 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ -1 x))) 2) in x 2.095 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.095 * [taylor]: Taking taylor expansion of 1.0 in x 2.095 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.095 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.095 * [taylor]: Taking taylor expansion of -1 in x 2.095 * [taylor]: Taking taylor expansion of x in x 2.095 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ -1 x))) 2) 1/3) in x 2.095 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (cos (/ -1 x))) 2)))) in x 2.095 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (cos (/ -1 x))) 2))) in x 2.095 * [taylor]: Taking taylor expansion of 1/3 in x 2.096 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (cos (/ -1 x))) 2)) in x 2.096 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ -1 x))) 2) in x 2.096 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.096 * [taylor]: Taking taylor expansion of 1.0 in x 2.096 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.096 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.096 * [taylor]: Taking taylor expansion of -1 in x 2.096 * [taylor]: Taking taylor expansion of x in x 2.105 * * * [progress]: simplifying candidates 2.107 * [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) 2.111 * * [simplify]: iteration 0 : 119 enodes (cost 1410 ) 2.129 * * [simplify]: iteration 1 : 224 enodes (cost 1280 ) 2.167 * * [simplify]: iteration 2 : 553 enodes (cost 1212 ) 2.412 * * [simplify]: iteration 3 : 1590 enodes (cost 1117 ) 3.134 * * [simplify]: iteration done : 5001 enodes (cost 1117 ) 3.134 * [simplify]: Simplified to: (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (pow (sqrt (cbrt (- 1.0 (cos x)))) 4) (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 (sqrt (cbrt (- 1.0 (cos x)))) 4) (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 (sqrt (cbrt (- 1.0 (cos x)))) 4) (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) (pow (sqrt (cbrt (- 1.0 (cos x)))) 4) 2 (* 2 (log (cbrt (- 1.0 (cos x))))) (* 2 (log (cbrt (- 1.0 (cos x))))) (exp (pow (sqrt (cbrt (- 1.0 (cos x)))) 4)) (pow (- 1.0 (cos x)) 2) (* (cbrt (pow (sqrt (cbrt (- 1.0 (cos x)))) 4)) (cbrt (pow (sqrt (cbrt (- 1.0 (cos x)))) 4))) (cbrt (pow (sqrt (cbrt (- 1.0 (cos x)))) 4)) (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 (pow (sqrt (cbrt (- 1.0 (cos x)))) 4)) (cbrt (pow (sqrt (cbrt (- 1.0 (cos x)))) 4))) (* (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 (pow (sqrt (cbrt (- 1.0 (cos x)))) 4) 1 (pow (sqrt (cbrt (- 1.0 (cos x)))) 4) (* (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 (pow (sqrt (cbrt (- 1.0 (cos x)))) 4) 1 (pow (sqrt (cbrt (- 1.0 (cos x)))) 4) (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 (pow (sqrt (cbrt (- 1.0 (cos x)))) 4) (* (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 (pow (sqrt (cbrt (- 1.0 (cos x)))) 4))) (* (cbrt (- 1.0 (cos x))) (cbrt (sqrt (- 1.0 (cos x))))) (cbrt (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (+ (sqrt 1.0) (sqrt (cos x))))) (cbrt (- 1.0 (cos x))) (* (pow (cbrt (cbrt (- 1.0 (cos x)))) 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 (- 1.0 (cos x))) (cbrt (sqrt (- 1.0 (cos x))))) (pow (sqrt (cbrt (- 1.0 (cos x)))) 4) (* (cbrt (- (sqrt 1.0) (sqrt (cos x)))) (cbrt (- 1.0 (cos x)))) (pow (sqrt (cbrt (- 1.0 (cos x)))) 4) (pow (cbrt (cbrt (- 1.0 (cos x)))) 4) (pow (sqrt (cbrt (- 1.0 (cos x)))) 3) (pow (sqrt (cbrt (- 1.0 (cos x)))) 4) (* (cbrt (- 1.0 (cos x))) (cbrt (- (pow 1.0 3) (pow (cos x) 3)))) (* (cbrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (cbrt (- 1.0 (cos x)))) (* (cbrt (- 1.0 (cos x))) (cbrt (- (pow 1.0 3) (pow (cos x) 3)))) (* (cbrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (cbrt (- 1.0 (cos x)))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (* (* (pow x 4/3) (pow 1/4 1/3)) (+ (* -1/18 (pow x 2)) (+ (* 7/6480 (pow x 4)) 1))) (cbrt (pow (- 1.0 (cos x)) 2)) (cbrt (pow (- 1.0 (cos x)) 2)) 3.135 * * * [progress]: adding candidates to table 3.319 * * [progress]: iteration 3 / 4 3.319 * * * [progress]: picking best candidate 3.354 * * * * [pick]: Picked # 3.355 * * * [progress]: localizing error 3.369 * * * [progress]: generating rewritten candidates 3.369 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 1) 3.374 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 3.378 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1 1 1) 3.382 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1) 3.391 * * * [progress]: generating series expansions 3.391 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 1) 3.391 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 3.391 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 3.391 * [taylor]: Taking taylor expansion of 1.0 in x 3.391 * [taylor]: Taking taylor expansion of (cos x) in x 3.391 * [taylor]: Taking taylor expansion of x in x 3.391 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 3.391 * [taylor]: Taking taylor expansion of 1.0 in x 3.391 * [taylor]: Taking taylor expansion of (cos x) in x 3.391 * [taylor]: Taking taylor expansion of x in x 3.393 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 3.393 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 3.393 * [taylor]: Taking taylor expansion of 1.0 in x 3.393 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.393 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.393 * [taylor]: Taking taylor expansion of x in x 3.393 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 3.393 * [taylor]: Taking taylor expansion of 1.0 in x 3.393 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.393 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.393 * [taylor]: Taking taylor expansion of x in x 3.394 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 3.394 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 3.394 * [taylor]: Taking taylor expansion of 1.0 in x 3.394 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.394 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.394 * [taylor]: Taking taylor expansion of -1 in x 3.394 * [taylor]: Taking taylor expansion of x in x 3.394 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 3.394 * [taylor]: Taking taylor expansion of 1.0 in x 3.394 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.394 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.394 * [taylor]: Taking taylor expansion of -1 in x 3.394 * [taylor]: Taking taylor expansion of x in x 3.394 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 3.394 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 3.394 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 3.394 * [taylor]: Taking taylor expansion of 1.0 in x 3.394 * [taylor]: Taking taylor expansion of (cos x) in x 3.394 * [taylor]: Taking taylor expansion of x in x 3.394 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 3.394 * [taylor]: Taking taylor expansion of 1.0 in x 3.394 * [taylor]: Taking taylor expansion of (cos x) in x 3.394 * [taylor]: Taking taylor expansion of x in x 3.396 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 3.396 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 3.396 * [taylor]: Taking taylor expansion of 1.0 in x 3.396 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.396 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.396 * [taylor]: Taking taylor expansion of x in x 3.396 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 3.396 * [taylor]: Taking taylor expansion of 1.0 in x 3.396 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.396 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.396 * [taylor]: Taking taylor expansion of x in x 3.397 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 3.397 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 3.397 * [taylor]: Taking taylor expansion of 1.0 in x 3.397 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.397 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.397 * [taylor]: Taking taylor expansion of -1 in x 3.397 * [taylor]: Taking taylor expansion of x in x 3.397 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 3.397 * [taylor]: Taking taylor expansion of 1.0 in x 3.397 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.397 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.397 * [taylor]: Taking taylor expansion of -1 in x 3.397 * [taylor]: Taking taylor expansion of x in x 3.397 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1 1 1) 3.397 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 3.397 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 3.397 * [taylor]: Taking taylor expansion of 1.0 in x 3.397 * [taylor]: Taking taylor expansion of (cos x) in x 3.398 * [taylor]: Taking taylor expansion of x in x 3.398 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 3.398 * [taylor]: Taking taylor expansion of 1.0 in x 3.398 * [taylor]: Taking taylor expansion of (cos x) in x 3.398 * [taylor]: Taking taylor expansion of x in x 3.399 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 3.399 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 3.399 * [taylor]: Taking taylor expansion of 1.0 in x 3.399 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.399 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.399 * [taylor]: Taking taylor expansion of x in x 3.399 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 3.399 * [taylor]: Taking taylor expansion of 1.0 in x 3.399 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.399 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.399 * [taylor]: Taking taylor expansion of x in x 3.400 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 3.400 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 3.400 * [taylor]: Taking taylor expansion of 1.0 in x 3.400 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.400 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.400 * [taylor]: Taking taylor expansion of -1 in x 3.400 * [taylor]: Taking taylor expansion of x in x 3.400 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 3.400 * [taylor]: Taking taylor expansion of 1.0 in x 3.400 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.400 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.400 * [taylor]: Taking taylor expansion of -1 in x 3.400 * [taylor]: Taking taylor expansion of x in x 3.401 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1) 3.401 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 3.401 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 3.401 * [taylor]: Taking taylor expansion of 1.0 in x 3.401 * [taylor]: Taking taylor expansion of (cos x) in x 3.401 * [taylor]: Taking taylor expansion of x in x 3.401 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 3.401 * [taylor]: Taking taylor expansion of 1.0 in x 3.401 * [taylor]: Taking taylor expansion of (cos x) in x 3.401 * [taylor]: Taking taylor expansion of x in x 3.403 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 3.403 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 3.403 * [taylor]: Taking taylor expansion of 1.0 in x 3.403 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.403 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.403 * [taylor]: Taking taylor expansion of x in x 3.403 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 3.403 * [taylor]: Taking taylor expansion of 1.0 in x 3.403 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.403 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.403 * [taylor]: Taking taylor expansion of x in x 3.403 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 3.403 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 3.403 * [taylor]: Taking taylor expansion of 1.0 in x 3.403 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.403 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.403 * [taylor]: Taking taylor expansion of -1 in x 3.403 * [taylor]: Taking taylor expansion of x in x 3.403 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 3.403 * [taylor]: Taking taylor expansion of 1.0 in x 3.403 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.403 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.403 * [taylor]: Taking taylor expansion of -1 in x 3.403 * [taylor]: Taking taylor expansion of x in x 3.404 * * * [progress]: simplifying candidates 3.405 * [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)) (/ (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 (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)) 3.407 * * [simplify]: iteration 0 : 72 enodes (cost 615 ) 3.419 * * [simplify]: iteration 1 : 128 enodes (cost 556 ) 3.435 * * [simplify]: iteration 2 : 245 enodes (cost 519 ) 3.482 * * [simplify]: iteration 3 : 518 enodes (cost 519 ) 4.034 * * [simplify]: iteration 4 : 1770 enodes (cost 519 ) 5.247 * * [simplify]: iteration done : 5001 enodes (cost 519 ) 5.248 * [simplify]: Simplified to: 1.0 (neg (cos x)) 1.0 (neg (cos x)) (* 2 (log (cbrt (exp (- 1.0 (cos x)))))) (log (cbrt (exp (- 1.0 (cos x))))) (log (sqrt (exp (- 1.0 (cos x))))) (log (sqrt (exp (- 1.0 (cos x))))) 0 (- 1.0 (cos x)) 1.0 (cos x) (- 1.0 (cos x)) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (- 1.0 (cos x))) 1 (+ (sqrt (cos x)) (sqrt 1.0)) 1 (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 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 (cos x)) (sqrt 1.0)) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (neg (cos x)) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 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 (cos x)) (sqrt 1.0)) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (neg (cos x)) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 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 (cos x)) (sqrt 1.0)) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (neg (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)) 5.248 * * * [progress]: adding candidates to table 5.394 * * [progress]: iteration 4 / 4 5.394 * * * [progress]: picking best candidate 5.428 * * * * [pick]: Picked # 5.428 * * * [progress]: localizing error 5.447 * * * [progress]: generating rewritten candidates 5.447 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 1) 5.453 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 1) 5.457 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1 1 1) 5.461 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1) 5.467 * * * [progress]: generating series expansions 5.467 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 1) 5.470 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 5.470 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 5.470 * [taylor]: Taking taylor expansion of 1.0 in x 5.470 * [taylor]: Taking taylor expansion of (cos x) in x 5.470 * [taylor]: Taking taylor expansion of x in x 5.470 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 5.470 * [taylor]: Taking taylor expansion of 1.0 in x 5.470 * [taylor]: Taking taylor expansion of (cos x) in x 5.470 * [taylor]: Taking taylor expansion of x in x 5.471 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 5.471 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 5.471 * [taylor]: Taking taylor expansion of 1.0 in x 5.472 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.472 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.472 * [taylor]: Taking taylor expansion of x in x 5.472 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 5.472 * [taylor]: Taking taylor expansion of 1.0 in x 5.472 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.472 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.472 * [taylor]: Taking taylor expansion of x in x 5.472 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 5.472 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 5.472 * [taylor]: Taking taylor expansion of 1.0 in x 5.472 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.472 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.472 * [taylor]: Taking taylor expansion of -1 in x 5.472 * [taylor]: Taking taylor expansion of x in x 5.472 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 5.472 * [taylor]: Taking taylor expansion of 1.0 in x 5.472 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.472 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.472 * [taylor]: Taking taylor expansion of -1 in x 5.472 * [taylor]: Taking taylor expansion of x in x 5.473 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 1) 5.473 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 5.473 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 5.473 * [taylor]: Taking taylor expansion of 1.0 in x 5.473 * [taylor]: Taking taylor expansion of (cos x) in x 5.473 * [taylor]: Taking taylor expansion of x in x 5.473 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 5.473 * [taylor]: Taking taylor expansion of 1.0 in x 5.473 * [taylor]: Taking taylor expansion of (cos x) in x 5.473 * [taylor]: Taking taylor expansion of x in x 5.475 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 5.475 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 5.475 * [taylor]: Taking taylor expansion of 1.0 in x 5.475 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.475 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.475 * [taylor]: Taking taylor expansion of x in x 5.475 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 5.475 * [taylor]: Taking taylor expansion of 1.0 in x 5.475 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.475 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.475 * [taylor]: Taking taylor expansion of x in x 5.475 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 5.475 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 5.475 * [taylor]: Taking taylor expansion of 1.0 in x 5.475 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.475 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.475 * [taylor]: Taking taylor expansion of -1 in x 5.475 * [taylor]: Taking taylor expansion of x in x 5.476 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 5.476 * [taylor]: Taking taylor expansion of 1.0 in x 5.476 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.476 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.476 * [taylor]: Taking taylor expansion of -1 in x 5.476 * [taylor]: Taking taylor expansion of x in x 5.476 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1 1 1) 5.476 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 5.476 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 5.476 * [taylor]: Taking taylor expansion of 1.0 in x 5.476 * [taylor]: Taking taylor expansion of (cos x) in x 5.476 * [taylor]: Taking taylor expansion of x in x 5.476 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 5.476 * [taylor]: Taking taylor expansion of 1.0 in x 5.476 * [taylor]: Taking taylor expansion of (cos x) in x 5.476 * [taylor]: Taking taylor expansion of x in x 5.478 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 5.478 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 5.478 * [taylor]: Taking taylor expansion of 1.0 in x 5.478 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.478 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.478 * [taylor]: Taking taylor expansion of x in x 5.478 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 5.478 * [taylor]: Taking taylor expansion of 1.0 in x 5.479 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.479 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.479 * [taylor]: Taking taylor expansion of x in x 5.479 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 5.479 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 5.479 * [taylor]: Taking taylor expansion of 1.0 in x 5.479 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.479 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.479 * [taylor]: Taking taylor expansion of -1 in x 5.479 * [taylor]: Taking taylor expansion of x in x 5.479 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 5.479 * [taylor]: Taking taylor expansion of 1.0 in x 5.479 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.479 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.479 * [taylor]: Taking taylor expansion of -1 in x 5.479 * [taylor]: Taking taylor expansion of x in x 5.480 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1) 5.480 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 5.480 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 5.480 * [taylor]: Taking taylor expansion of 1.0 in x 5.480 * [taylor]: Taking taylor expansion of (cos x) in x 5.480 * [taylor]: Taking taylor expansion of x in x 5.480 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 5.480 * [taylor]: Taking taylor expansion of 1.0 in x 5.480 * [taylor]: Taking taylor expansion of (cos x) in x 5.480 * [taylor]: Taking taylor expansion of x in x 5.481 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 5.481 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 5.481 * [taylor]: Taking taylor expansion of 1.0 in x 5.481 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.482 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.482 * [taylor]: Taking taylor expansion of x in x 5.482 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 5.482 * [taylor]: Taking taylor expansion of 1.0 in x 5.482 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.482 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.482 * [taylor]: Taking taylor expansion of x in x 5.482 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 5.482 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 5.482 * [taylor]: Taking taylor expansion of 1.0 in x 5.482 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.482 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.482 * [taylor]: Taking taylor expansion of -1 in x 5.482 * [taylor]: Taking taylor expansion of x in x 5.482 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 5.482 * [taylor]: Taking taylor expansion of 1.0 in x 5.482 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.482 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.482 * [taylor]: Taking taylor expansion of -1 in x 5.482 * [taylor]: Taking taylor expansion of x in x 5.483 * * * [progress]: simplifying candidates 5.484 * [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)) (/ (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 (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)) 5.486 * * [simplify]: iteration 0 : 72 enodes (cost 615 ) 5.496 * * [simplify]: iteration 1 : 128 enodes (cost 556 ) 5.512 * * [simplify]: iteration 2 : 245 enodes (cost 519 ) 5.561 * * [simplify]: iteration 3 : 518 enodes (cost 519 ) 5.938 * * [simplify]: iteration 4 : 1770 enodes (cost 519 ) 7.150 * * [simplify]: iteration done : 5001 enodes (cost 519 ) 7.151 * [simplify]: Simplified to: 1.0 (neg (cos x)) 1.0 (neg (cos x)) (* 2 (log (cbrt (exp (- 1.0 (cos x)))))) (log (cbrt (exp (- 1.0 (cos x))))) (log (sqrt (exp (- 1.0 (cos x))))) (log (sqrt (exp (- 1.0 (cos x))))) 0 (- 1.0 (cos x)) 1.0 (cos x) (- 1.0 (cos x)) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (- 1.0 (cos x))) 1 (+ (sqrt (cos x)) (sqrt 1.0)) 1 (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 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 (cos x)) (sqrt 1.0)) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (neg (cos x)) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 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 (cos x)) (sqrt 1.0)) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (neg (cos x)) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 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 (cos x)) (sqrt 1.0)) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (neg (cos x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) 7.151 * * * [progress]: adding candidates to table 7.317 * [progress]: [Phase 3 of 3] Extracting. 7.317 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #) 7.320 * * * [regime-changes]: Trying 2 branch expressions: ((/ (- 1.0 (cos x)) (* x x)) x) 7.320 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (* x x)) from (# # # # # # # # # # #) 7.385 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # #) 7.463 * * * [regime]: Found split indices: #