8.375 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.651 * * * [progress]: [2/2] Setting up program. 0.654 * [progress]: [Phase 2 of 3] Improving. 0.654 * [simplify]: Simplifying using # : (/ (- 1.0 (cos x)) (sin x)) 0.656 * * [simplify]: iteration 0 : 11 enodes (cost 4 ) 0.657 * * [simplify]: iteration 1 : 14 enodes (cost 4 ) 0.658 * * [simplify]: iteration 2 : 16 enodes (cost 4 ) 0.659 * * [simplify]: iteration 3 : 16 enodes (cost 4 ) 0.659 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (sin x)) 0.659 * * [progress]: iteration 1 / 4 0.659 * * * [progress]: picking best candidate 0.662 * * * * [pick]: Picked # 0.662 * * * [progress]: localizing error 0.669 * * * [progress]: generating rewritten candidates 0.669 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.672 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.680 * * * [progress]: generating series expansions 0.680 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.680 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.680 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.680 * [taylor]: Taking taylor expansion of 1.0 in x 0.680 * [taylor]: Taking taylor expansion of (cos x) in x 0.680 * [taylor]: Taking taylor expansion of x in x 0.680 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.680 * [taylor]: Taking taylor expansion of 1.0 in x 0.680 * [taylor]: Taking taylor expansion of (cos x) in x 0.680 * [taylor]: Taking taylor expansion of x in x 0.682 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.682 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.682 * [taylor]: Taking taylor expansion of 1.0 in x 0.682 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.682 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.682 * [taylor]: Taking taylor expansion of x in x 0.682 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.682 * [taylor]: Taking taylor expansion of 1.0 in x 0.682 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.682 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.682 * [taylor]: Taking taylor expansion of x in x 0.683 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.683 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.683 * [taylor]: Taking taylor expansion of 1.0 in x 0.683 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.683 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.683 * [taylor]: Taking taylor expansion of -1 in x 0.683 * [taylor]: Taking taylor expansion of x in x 0.683 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.683 * [taylor]: Taking taylor expansion of 1.0 in x 0.683 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.683 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.683 * [taylor]: Taking taylor expansion of -1 in x 0.683 * [taylor]: Taking taylor expansion of x in x 0.683 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.683 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 0.683 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.683 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.683 * [taylor]: Taking taylor expansion of 1.0 in x 0.683 * [taylor]: Taking taylor expansion of (cos x) in x 0.683 * [taylor]: Taking taylor expansion of x in x 0.683 * [taylor]: Taking taylor expansion of (sin x) in x 0.683 * [taylor]: Taking taylor expansion of x in x 0.684 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.684 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.684 * [taylor]: Taking taylor expansion of 1.0 in x 0.684 * [taylor]: Taking taylor expansion of (cos x) in x 0.684 * [taylor]: Taking taylor expansion of x in x 0.684 * [taylor]: Taking taylor expansion of (sin x) in x 0.684 * [taylor]: Taking taylor expansion of x in x 0.687 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 0.687 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.687 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.687 * [taylor]: Taking taylor expansion of 1.0 in x 0.687 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.687 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.687 * [taylor]: Taking taylor expansion of x in x 0.687 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.687 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.687 * [taylor]: Taking taylor expansion of x in x 0.687 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.687 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.687 * [taylor]: Taking taylor expansion of 1.0 in x 0.687 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.687 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.687 * [taylor]: Taking taylor expansion of x in x 0.687 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.687 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.687 * [taylor]: Taking taylor expansion of x in x 0.689 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 0.689 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.689 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.689 * [taylor]: Taking taylor expansion of 1.0 in x 0.689 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.689 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.689 * [taylor]: Taking taylor expansion of -1 in x 0.689 * [taylor]: Taking taylor expansion of x in x 0.689 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.689 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.689 * [taylor]: Taking taylor expansion of -1 in x 0.689 * [taylor]: Taking taylor expansion of x in x 0.689 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.689 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.689 * [taylor]: Taking taylor expansion of 1.0 in x 0.689 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.689 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.689 * [taylor]: Taking taylor expansion of -1 in x 0.689 * [taylor]: Taking taylor expansion of x in x 0.689 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.689 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.689 * [taylor]: Taking taylor expansion of -1 in x 0.689 * [taylor]: Taking taylor expansion of x in x 0.691 * * * [progress]: simplifying candidates 0.692 * [simplify]: Simplifying using # : (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (neg (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (neg (cos x)) (- (log (- 1.0 (cos x))) (log (sin x))) (log (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin x))) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* (sin x) (sin x)) (sin x))) (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x)))) (cbrt (/ (- 1.0 (cos x)) (sin x))) (* (* (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x))) (/ (- 1.0 (cos x)) (sin x))) (sqrt (/ (- 1.0 (cos x)) (sin x))) (sqrt (/ (- 1.0 (cos x)) (sin x))) (neg (- 1.0 (cos x))) (neg (sin x)) (/ 1.0 (sin x)) (/ (cos x) (sin x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (sin x))) (/ (cbrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1) (/ (cbrt (- 1.0 (cos x))) (sin x)) (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) 1) (/ (sqrt (- 1.0 (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ 1 1) (/ (- 1.0 (cos x)) (sin x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) 1) (/ (- (sqrt 1.0) (sqrt (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ 1 1) (/ (- 1.0 (cos x)) (sin x)) (/ 1 (sin x)) (/ (sin x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ (- 1.0 (cos x)) 1) (/ (sin x) (cbrt (- 1.0 (cos x)))) (/ (sin x) (sqrt (- 1.0 (cos x)))) (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (sin x) (- 1.0 (cos x))) (* (sin x) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (* (sin 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)) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) 0.696 * * [simplify]: iteration 0 : 233 enodes (cost 396 ) 0.700 * * [simplify]: iteration 1 : 673 enodes (cost 373 ) 0.712 * * [simplify]: iteration 2 : 2640 enodes (cost 373 ) 0.769 * * [simplify]: iteration 3 : 5002 enodes (cost 373 ) 0.772 * [simplify]: Simplified to: (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (neg (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (neg (cos x)) (log (/ (- 1.0 (cos x)) (sin x))) (log (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin x))) (pow (/ (- 1.0 (cos x)) (sin x)) 3) (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x)))) (cbrt (/ (- 1.0 (cos x)) (sin x))) (pow (/ (- 1.0 (cos x)) (sin x)) 3) (sqrt (/ (- 1.0 (cos x)) (sin x))) (sqrt (/ (- 1.0 (cos x)) (sin x))) (neg (- 1.0 (cos x))) (neg (sin x)) (/ 1.0 (sin x)) (/ (cos x) (sin x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (sin x))) (/ (cbrt (- 1.0 (cos x))) (sqrt (sin x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (/ (cbrt (- 1.0 (cos x))) (sin x)) (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) 1 (/ (- 1.0 (cos x)) (sin x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (+ (sqrt 1.0) (sqrt (cos x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) 1 (/ (- 1.0 (cos x)) (sin x)) (/ 1 (sin x)) (/ (sin x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (- 1.0 (cos x)) (/ (sin x) (cbrt (- 1.0 (cos x)))) (/ (sin x) (sqrt (- 1.0 (cos x)))) (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (sin x) (- 1.0 (cos x))) (* (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (sin x)) (* (sin 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)) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) 0.772 * * * [progress]: adding candidates to table 0.860 * * [progress]: iteration 2 / 4 0.860 * * * [progress]: picking best candidate 0.905 * * * * [pick]: Picked # 0.905 * * * [progress]: localizing error 0.916 * * * [progress]: generating rewritten candidates 0.916 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.922 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 0.926 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.935 * * * [progress]: generating series expansions 0.935 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.936 * [approximate]: Taking taylor expansion of (* 1/24 (pow x 3)) in (x) around 0 0.936 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 3)) in x 0.936 * [taylor]: Taking taylor expansion of 1/24 in x 0.936 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.936 * [taylor]: Taking taylor expansion of x in x 0.936 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 3)) in x 0.936 * [taylor]: Taking taylor expansion of 1/24 in x 0.936 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.936 * [taylor]: Taking taylor expansion of x in x 0.937 * [approximate]: Taking taylor expansion of (/ 1/24 (pow x 3)) in (x) around 0 0.937 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 3)) in x 0.937 * [taylor]: Taking taylor expansion of 1/24 in x 0.937 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.937 * [taylor]: Taking taylor expansion of x in x 0.937 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 3)) in x 0.937 * [taylor]: Taking taylor expansion of 1/24 in x 0.937 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.937 * [taylor]: Taking taylor expansion of x in x 0.938 * [approximate]: Taking taylor expansion of (/ -1/24 (pow x 3)) in (x) around 0 0.938 * [taylor]: Taking taylor expansion of (/ -1/24 (pow x 3)) in x 0.938 * [taylor]: Taking taylor expansion of -1/24 in x 0.938 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.938 * [taylor]: Taking taylor expansion of x in x 0.938 * [taylor]: Taking taylor expansion of (/ -1/24 (pow x 3)) in x 0.938 * [taylor]: Taking taylor expansion of -1/24 in x 0.938 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.938 * [taylor]: Taking taylor expansion of x in x 0.939 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 0.939 * [approximate]: Taking taylor expansion of (* 1/240 (pow x 5)) in (x) around 0 0.939 * [taylor]: Taking taylor expansion of (* 1/240 (pow x 5)) in x 0.939 * [taylor]: Taking taylor expansion of 1/240 in x 0.939 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.939 * [taylor]: Taking taylor expansion of x in x 0.939 * [taylor]: Taking taylor expansion of (* 1/240 (pow x 5)) in x 0.939 * [taylor]: Taking taylor expansion of 1/240 in x 0.939 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.939 * [taylor]: Taking taylor expansion of x in x 0.941 * [approximate]: Taking taylor expansion of (/ 1/240 (pow x 5)) in (x) around 0 0.941 * [taylor]: Taking taylor expansion of (/ 1/240 (pow x 5)) in x 0.941 * [taylor]: Taking taylor expansion of 1/240 in x 0.941 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.941 * [taylor]: Taking taylor expansion of x in x 0.941 * [taylor]: Taking taylor expansion of (/ 1/240 (pow x 5)) in x 0.941 * [taylor]: Taking taylor expansion of 1/240 in x 0.941 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.941 * [taylor]: Taking taylor expansion of x in x 0.942 * [approximate]: Taking taylor expansion of (/ -1/240 (pow x 5)) in (x) around 0 0.942 * [taylor]: Taking taylor expansion of (/ -1/240 (pow x 5)) in x 0.942 * [taylor]: Taking taylor expansion of -1/240 in x 0.942 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.942 * [taylor]: Taking taylor expansion of x in x 0.942 * [taylor]: Taking taylor expansion of (/ -1/240 (pow x 5)) in x 0.942 * [taylor]: Taking taylor expansion of -1/240 in x 0.942 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.942 * [taylor]: Taking taylor expansion of x in x 0.943 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.944 * [approximate]: Taking taylor expansion of (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) in (x) around 0 0.944 * [taylor]: Taking taylor expansion of (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) in x 0.944 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 3)) in x 0.944 * [taylor]: Taking taylor expansion of 1/24 in x 0.944 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.944 * [taylor]: Taking taylor expansion of x in x 0.944 * [taylor]: Taking taylor expansion of (+ (* 1/240 (pow x 5)) (* 1/2 x)) in x 0.944 * [taylor]: Taking taylor expansion of (* 1/240 (pow x 5)) in x 0.944 * [taylor]: Taking taylor expansion of 1/240 in x 0.944 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.944 * [taylor]: Taking taylor expansion of x in x 0.944 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.944 * [taylor]: Taking taylor expansion of 1/2 in x 0.944 * [taylor]: Taking taylor expansion of x in x 0.944 * [taylor]: Taking taylor expansion of (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) in x 0.944 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 3)) in x 0.944 * [taylor]: Taking taylor expansion of 1/24 in x 0.944 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.944 * [taylor]: Taking taylor expansion of x in x 0.944 * [taylor]: Taking taylor expansion of (+ (* 1/240 (pow x 5)) (* 1/2 x)) in x 0.944 * [taylor]: Taking taylor expansion of (* 1/240 (pow x 5)) in x 0.944 * [taylor]: Taking taylor expansion of 1/240 in x 0.944 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.944 * [taylor]: Taking taylor expansion of x in x 0.944 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.944 * [taylor]: Taking taylor expansion of 1/2 in x 0.944 * [taylor]: Taking taylor expansion of x in x 0.945 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 x)) (+ (* 1/240 (/ 1 (pow x 5))) (* 1/24 (/ 1 (pow x 3))))) in (x) around 0 0.945 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 x)) (+ (* 1/240 (/ 1 (pow x 5))) (* 1/24 (/ 1 (pow x 3))))) in x 0.945 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x 0.945 * [taylor]: Taking taylor expansion of 1/2 in x 0.945 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.945 * [taylor]: Taking taylor expansion of x in x 0.945 * [taylor]: Taking taylor expansion of (+ (* 1/240 (/ 1 (pow x 5))) (* 1/24 (/ 1 (pow x 3)))) in x 0.945 * [taylor]: Taking taylor expansion of (* 1/240 (/ 1 (pow x 5))) in x 0.945 * [taylor]: Taking taylor expansion of 1/240 in x 0.945 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 0.945 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.945 * [taylor]: Taking taylor expansion of x in x 0.945 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 3))) in x 0.945 * [taylor]: Taking taylor expansion of 1/24 in x 0.945 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.945 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.945 * [taylor]: Taking taylor expansion of x in x 0.945 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 x)) (+ (* 1/240 (/ 1 (pow x 5))) (* 1/24 (/ 1 (pow x 3))))) in x 0.945 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x 0.945 * [taylor]: Taking taylor expansion of 1/2 in x 0.945 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.945 * [taylor]: Taking taylor expansion of x in x 0.945 * [taylor]: Taking taylor expansion of (+ (* 1/240 (/ 1 (pow x 5))) (* 1/24 (/ 1 (pow x 3)))) in x 0.945 * [taylor]: Taking taylor expansion of (* 1/240 (/ 1 (pow x 5))) in x 0.946 * [taylor]: Taking taylor expansion of 1/240 in x 0.946 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 0.946 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.946 * [taylor]: Taking taylor expansion of x in x 0.946 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 3))) in x 0.946 * [taylor]: Taking taylor expansion of 1/24 in x 0.946 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.946 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.946 * [taylor]: Taking taylor expansion of x in x 0.947 * [approximate]: Taking taylor expansion of (neg (+ (* 1/2 (/ 1 x)) (+ (* 1/240 (/ 1 (pow x 5))) (* 1/24 (/ 1 (pow x 3)))))) in (x) around 0 0.947 * [taylor]: Taking taylor expansion of (neg (+ (* 1/2 (/ 1 x)) (+ (* 1/240 (/ 1 (pow x 5))) (* 1/24 (/ 1 (pow x 3)))))) in x 0.947 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 x)) (+ (* 1/240 (/ 1 (pow x 5))) (* 1/24 (/ 1 (pow x 3))))) in x 0.947 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x 0.947 * [taylor]: Taking taylor expansion of 1/2 in x 0.947 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.947 * [taylor]: Taking taylor expansion of x in x 0.947 * [taylor]: Taking taylor expansion of (+ (* 1/240 (/ 1 (pow x 5))) (* 1/24 (/ 1 (pow x 3)))) in x 0.947 * [taylor]: Taking taylor expansion of (* 1/240 (/ 1 (pow x 5))) in x 0.947 * [taylor]: Taking taylor expansion of 1/240 in x 0.947 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 0.947 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.947 * [taylor]: Taking taylor expansion of x in x 0.947 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 3))) in x 0.947 * [taylor]: Taking taylor expansion of 1/24 in x 0.947 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.947 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.947 * [taylor]: Taking taylor expansion of x in x 0.947 * [taylor]: Taking taylor expansion of (neg (+ (* 1/2 (/ 1 x)) (+ (* 1/240 (/ 1 (pow x 5))) (* 1/24 (/ 1 (pow x 3)))))) in x 0.947 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 x)) (+ (* 1/240 (/ 1 (pow x 5))) (* 1/24 (/ 1 (pow x 3))))) in x 0.948 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x 0.948 * [taylor]: Taking taylor expansion of 1/2 in x 0.948 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.948 * [taylor]: Taking taylor expansion of x in x 0.948 * [taylor]: Taking taylor expansion of (+ (* 1/240 (/ 1 (pow x 5))) (* 1/24 (/ 1 (pow x 3)))) in x 0.948 * [taylor]: Taking taylor expansion of (* 1/240 (/ 1 (pow x 5))) in x 0.948 * [taylor]: Taking taylor expansion of 1/240 in x 0.948 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 0.948 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.948 * [taylor]: Taking taylor expansion of x in x 0.948 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 3))) in x 0.948 * [taylor]: Taking taylor expansion of 1/24 in x 0.948 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.948 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.948 * [taylor]: Taking taylor expansion of x in x 0.949 * * * [progress]: simplifying candidates 0.950 * [simplify]: Simplifying using # : (+ (log 1/24) (* (log x) 3)) (+ (log 1/24) (* (log x) 3)) (+ (log 1/24) (log (pow x 3))) (log (* 1/24 (pow x 3))) (exp (* 1/24 (pow x 3))) (* (* (* 1/24 1/24) 1/24) (* (* (pow x 3) (pow x 3)) (pow x 3))) (* (cbrt (* 1/24 (pow x 3))) (cbrt (* 1/24 (pow x 3)))) (cbrt (* 1/24 (pow x 3))) (* (* (* 1/24 (pow x 3)) (* 1/24 (pow x 3))) (* 1/24 (pow x 3))) (sqrt (* 1/24 (pow x 3))) (sqrt (* 1/24 (pow x 3))) (* (sqrt 1/24) (pow (sqrt x) 3)) (* (sqrt 1/24) (pow (sqrt x) 3)) (* (sqrt 1/24) (pow (sqrt x) 3)) (* (sqrt 1/24) (pow (sqrt x) 3)) (* (sqrt 1/24) (sqrt (pow x 3))) (* (sqrt 1/24) (sqrt (pow x 3))) (* (sqrt 1/24) (pow x (/ 3 2))) (* (sqrt 1/24) (pow x (/ 3 2))) (* 1/24 (pow (* (cbrt x) (cbrt x)) 3)) (* 1/24 (pow (sqrt x) 3)) (* 1/24 (pow 1 3)) (* 1/24 (* x x)) (* 1/24 (* (cbrt (pow x 3)) (cbrt (pow x 3)))) (* 1/24 (pow (* (cbrt x) (cbrt x)) 3)) (* 1/24 (pow (sqrt x) 3)) (* 1/24 (pow 1 3)) (* 1/24 x) (* 1/24 (sqrt (pow x 3))) (* 1/24 1) (* 1/24 (pow x (/ 3 2))) (* (cbrt 1/24) (pow x 3)) (* (sqrt 1/24) (pow x 3)) (* 1/24 (pow x 3)) (+ (log 1/240) (* (log x) 5)) (+ (log 1/240) (* (log x) 5)) (+ (log 1/240) (log (pow x 5))) (log (* 1/240 (pow x 5))) (exp (* 1/240 (pow x 5))) (* (* (* 1/240 1/240) 1/240) (* (* (pow x 5) (pow x 5)) (pow x 5))) (* (cbrt (* 1/240 (pow x 5))) (cbrt (* 1/240 (pow x 5)))) (cbrt (* 1/240 (pow x 5))) (* (* (* 1/240 (pow x 5)) (* 1/240 (pow x 5))) (* 1/240 (pow x 5))) (sqrt (* 1/240 (pow x 5))) (sqrt (* 1/240 (pow x 5))) (* (sqrt 1/240) (pow (sqrt x) 5)) (* (sqrt 1/240) (pow (sqrt x) 5)) (* (sqrt 1/240) (sqrt (pow x 5))) (* (sqrt 1/240) (sqrt (pow x 5))) (* (sqrt 1/240) (pow x (/ 5 2))) (* (sqrt 1/240) (pow x (/ 5 2))) (* 1/240 (pow (* (cbrt x) (cbrt x)) 5)) (* 1/240 (pow (sqrt x) 5)) (* 1/240 (pow 1 5)) (* 1/240 (* (cbrt (pow x 5)) (cbrt (pow x 5)))) (* 1/240 (sqrt (pow x 5))) (* 1/240 1) (* 1/240 (pow x (/ 5 2))) (* (cbrt 1/240) (pow x 5)) (* (sqrt 1/240) (pow x 5)) (* 1/240 (pow x 5)) (* (exp (* 1/24 (pow x 3))) (* (exp (* 1/240 (pow x 5))) (exp (* 1/2 x)))) (* (exp (* 1/24 (pow x 3))) (exp (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (log (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (exp (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (* (cbrt (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (cbrt (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))))) (cbrt (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (* (* (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (sqrt (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (sqrt (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (+ (pow (* 1/24 (pow x 3)) 3) (pow (+ (* 1/240 (pow x 5)) (* 1/2 x)) 3)) (+ (* (* 1/24 (pow x 3)) (* 1/24 (pow x 3))) (- (* (+ (* 1/240 (pow x 5)) (* 1/2 x)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (* (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))))) (- (* (* 1/24 (pow x 3)) (* 1/24 (pow x 3))) (* (+ (* 1/240 (pow x 5)) (* 1/2 x)) (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (- (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (+ (* 1/24 (pow x 3)) (* 1/240 (pow x 5))) (* 1/24 (pow x 3)) (* 1/24 (pow x 3)) (* 1/24 (pow x 3)) (* 1/240 (pow x 5)) (* 1/240 (pow x 5)) (* 1/240 (pow x 5)) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (+ (* 1/2 x) (+ (* 1/24 (pow x 3)) (* 1/240 (pow x 5)))) (+ (* 1/2 x) (+ (* 1/24 (pow x 3)) (* 1/240 (pow x 5)))) 0.955 * * [simplify]: iteration 0 : 301 enodes (cost 375 ) 0.961 * * [simplify]: iteration 1 : 1301 enodes (cost 346 ) 0.990 * * [simplify]: iteration 2 : 5002 enodes (cost 346 ) 0.993 * [simplify]: Simplified to: (log (* 1/24 (pow x 3))) (log (* 1/24 (pow x 3))) (log (* 1/24 (pow x 3))) (log (* 1/24 (pow x 3))) (exp (* 1/24 (pow x 3))) (pow (* 1/24 (pow x 3)) 3) (* (cbrt (* 1/24 (pow x 3))) (cbrt (* 1/24 (pow x 3)))) (cbrt (* 1/24 (pow x 3))) (pow (* 1/24 (pow x 3)) 3) (sqrt (* 1/24 (pow x 3))) (sqrt (* 1/24 (pow x 3))) (* (sqrt 1/24) (pow (sqrt x) 3)) (* (sqrt 1/24) (pow (sqrt x) 3)) (* (sqrt 1/24) (pow (sqrt x) 3)) (* (sqrt 1/24) (pow (sqrt x) 3)) (* (sqrt 1/24) (sqrt (pow x 3))) (* (sqrt 1/24) (sqrt (pow x 3))) (* (sqrt 1/24) (pow x 3/2)) (* (sqrt 1/24) (pow x 3/2)) (* (* 1/24 x) x) (* 1/24 (pow (sqrt x) 3)) 1/24 (* (* 1/24 x) x) (* (* 1/24 x) x) (* (* 1/24 x) x) (* 1/24 (pow (sqrt x) 3)) 1/24 (* 1/24 x) (* 1/24 (sqrt (pow x 3))) 1/24 (* 1/24 (pow x 3/2)) (* (cbrt 1/24) (pow x 3)) (* (sqrt 1/24) (pow x 3)) (* 1/24 (pow x 3)) (log (* 1/240 (pow x 5))) (log (* 1/240 (pow x 5))) (log (* 1/240 (pow x 5))) (log (* 1/240 (pow x 5))) (exp (* 1/240 (pow x 5))) (pow (* 1/240 (pow x 5)) 3) (* (cbrt (* 1/240 (pow x 5))) (cbrt (* 1/240 (pow x 5)))) (cbrt (* 1/240 (pow x 5))) (pow (* 1/240 (pow x 5)) 3) (sqrt (* 1/240 (pow x 5))) (sqrt (* 1/240 (pow x 5))) (* (sqrt 1/240) (pow (sqrt x) 5)) (* (sqrt 1/240) (pow (sqrt x) 5)) (* (sqrt 1/240) (sqrt (pow x 5))) (* (sqrt 1/240) (sqrt (pow x 5))) (* (sqrt 1/240) (pow x 5/2)) (* (sqrt 1/240) (pow x 5/2)) (* 1/240 (pow (* (cbrt x) (cbrt x)) 5)) (* 1/240 (pow (sqrt x) 5)) 1/240 (* 1/240 (* (cbrt (pow x 5)) (cbrt (pow x 5)))) (* 1/240 (sqrt (pow x 5))) 1/240 (* 1/240 (pow x 5/2)) (* (cbrt 1/240) (pow x 5)) (* (sqrt 1/240) (pow x 5)) (* 1/240 (pow x 5)) (exp (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (exp (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (log (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (exp (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (* (cbrt (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (cbrt (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))))) (cbrt (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (pow (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) 3) (sqrt (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (sqrt (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (+ (pow (* 1/24 (pow x 3)) 3) (pow (+ (* 1/240 (pow x 5)) (* 1/2 x)) 3)) (+ (* (+ (* 1/240 (pow x 5)) (* 1/2 x)) (- (+ (* 1/240 (pow x 5)) (* 1/2 x)) (* 1/24 (pow x 3)))) (* 1/576 (* (pow x 3) (pow x 3)))) (+ (neg (* (+ (* 1/240 (pow x 5)) (* 1/2 x)) (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (* (pow x 6) 1/576)) (- (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (+ (* 1/24 (pow x 3)) (* 1/240 (pow x 5))) (* 1/24 (pow x 3)) (* 1/24 (pow x 3)) (* 1/24 (pow x 3)) (* 1/240 (pow x 5)) (* 1/240 (pow x 5)) (* 1/240 (pow x 5)) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) 0.993 * * * [progress]: adding candidates to table 1.095 * * [progress]: iteration 3 / 4 1.095 * * * [progress]: picking best candidate 1.139 * * * * [pick]: Picked # 1.139 * * * [progress]: localizing error 1.149 * * * [progress]: generating rewritten candidates 1.149 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 1.155 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 2) 1.159 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 1.165 * * * [progress]: generating series expansions 1.165 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 1.165 * [approximate]: Taking taylor expansion of (* 1/24 (pow x 3)) in (x) around 0 1.165 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 3)) in x 1.165 * [taylor]: Taking taylor expansion of 1/24 in x 1.165 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.165 * [taylor]: Taking taylor expansion of x in x 1.165 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 3)) in x 1.165 * [taylor]: Taking taylor expansion of 1/24 in x 1.165 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.165 * [taylor]: Taking taylor expansion of x in x 1.166 * [approximate]: Taking taylor expansion of (/ 1/24 (pow x 3)) in (x) around 0 1.166 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 3)) in x 1.166 * [taylor]: Taking taylor expansion of 1/24 in x 1.166 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.166 * [taylor]: Taking taylor expansion of x in x 1.166 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 3)) in x 1.166 * [taylor]: Taking taylor expansion of 1/24 in x 1.166 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.166 * [taylor]: Taking taylor expansion of x in x 1.168 * [approximate]: Taking taylor expansion of (/ -1/24 (pow x 3)) in (x) around 0 1.168 * [taylor]: Taking taylor expansion of (/ -1/24 (pow x 3)) in x 1.168 * [taylor]: Taking taylor expansion of -1/24 in x 1.168 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.168 * [taylor]: Taking taylor expansion of x in x 1.168 * [taylor]: Taking taylor expansion of (/ -1/24 (pow x 3)) in x 1.168 * [taylor]: Taking taylor expansion of -1/24 in x 1.168 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.168 * [taylor]: Taking taylor expansion of x in x 1.169 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 2) 1.169 * [approximate]: Taking taylor expansion of (* 1/240 (pow x 5)) in (x) around 0 1.169 * [taylor]: Taking taylor expansion of (* 1/240 (pow x 5)) in x 1.169 * [taylor]: Taking taylor expansion of 1/240 in x 1.169 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.169 * [taylor]: Taking taylor expansion of x in x 1.169 * [taylor]: Taking taylor expansion of (* 1/240 (pow x 5)) in x 1.169 * [taylor]: Taking taylor expansion of 1/240 in x 1.169 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.169 * [taylor]: Taking taylor expansion of x in x 1.170 * [approximate]: Taking taylor expansion of (/ 1/240 (pow x 5)) in (x) around 0 1.170 * [taylor]: Taking taylor expansion of (/ 1/240 (pow x 5)) in x 1.170 * [taylor]: Taking taylor expansion of 1/240 in x 1.170 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.170 * [taylor]: Taking taylor expansion of x in x 1.170 * [taylor]: Taking taylor expansion of (/ 1/240 (pow x 5)) in x 1.170 * [taylor]: Taking taylor expansion of 1/240 in x 1.170 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.170 * [taylor]: Taking taylor expansion of x in x 1.172 * [approximate]: Taking taylor expansion of (/ -1/240 (pow x 5)) in (x) around 0 1.172 * [taylor]: Taking taylor expansion of (/ -1/240 (pow x 5)) in x 1.172 * [taylor]: Taking taylor expansion of -1/240 in x 1.172 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.172 * [taylor]: Taking taylor expansion of x in x 1.172 * [taylor]: Taking taylor expansion of (/ -1/240 (pow x 5)) in x 1.172 * [taylor]: Taking taylor expansion of -1/240 in x 1.172 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.172 * [taylor]: Taking taylor expansion of x in x 1.173 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 1.173 * [approximate]: Taking taylor expansion of (+ (* 1/24 (pow x 3)) (* 1/240 (pow x 5))) in (x) around 0 1.173 * [taylor]: Taking taylor expansion of (+ (* 1/24 (pow x 3)) (* 1/240 (pow x 5))) in x 1.173 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 3)) in x 1.173 * [taylor]: Taking taylor expansion of 1/24 in x 1.173 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.173 * [taylor]: Taking taylor expansion of x in x 1.173 * [taylor]: Taking taylor expansion of (* 1/240 (pow x 5)) in x 1.173 * [taylor]: Taking taylor expansion of 1/240 in x 1.173 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.173 * [taylor]: Taking taylor expansion of x in x 1.173 * [taylor]: Taking taylor expansion of (+ (* 1/24 (pow x 3)) (* 1/240 (pow x 5))) in x 1.173 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 3)) in x 1.173 * [taylor]: Taking taylor expansion of 1/24 in x 1.173 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.173 * [taylor]: Taking taylor expansion of x in x 1.173 * [taylor]: Taking taylor expansion of (* 1/240 (pow x 5)) in x 1.173 * [taylor]: Taking taylor expansion of 1/240 in x 1.173 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.173 * [taylor]: Taking taylor expansion of x in x 1.176 * [approximate]: Taking taylor expansion of (+ (* 1/240 (/ 1 (pow x 5))) (* 1/24 (/ 1 (pow x 3)))) in (x) around 0 1.176 * [taylor]: Taking taylor expansion of (+ (* 1/240 (/ 1 (pow x 5))) (* 1/24 (/ 1 (pow x 3)))) in x 1.176 * [taylor]: Taking taylor expansion of (* 1/240 (/ 1 (pow x 5))) in x 1.176 * [taylor]: Taking taylor expansion of 1/240 in x 1.176 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 1.176 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.176 * [taylor]: Taking taylor expansion of x in x 1.176 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 3))) in x 1.176 * [taylor]: Taking taylor expansion of 1/24 in x 1.176 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.176 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.176 * [taylor]: Taking taylor expansion of x in x 1.176 * [taylor]: Taking taylor expansion of (+ (* 1/240 (/ 1 (pow x 5))) (* 1/24 (/ 1 (pow x 3)))) in x 1.176 * [taylor]: Taking taylor expansion of (* 1/240 (/ 1 (pow x 5))) in x 1.176 * [taylor]: Taking taylor expansion of 1/240 in x 1.176 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 1.176 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.176 * [taylor]: Taking taylor expansion of x in x 1.176 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 3))) in x 1.176 * [taylor]: Taking taylor expansion of 1/24 in x 1.176 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.177 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.177 * [taylor]: Taking taylor expansion of x in x 1.180 * [approximate]: Taking taylor expansion of (neg (+ (* 1/240 (/ 1 (pow x 5))) (* 1/24 (/ 1 (pow x 3))))) in (x) around 0 1.180 * [taylor]: Taking taylor expansion of (neg (+ (* 1/240 (/ 1 (pow x 5))) (* 1/24 (/ 1 (pow x 3))))) in x 1.180 * [taylor]: Taking taylor expansion of (+ (* 1/240 (/ 1 (pow x 5))) (* 1/24 (/ 1 (pow x 3)))) in x 1.180 * [taylor]: Taking taylor expansion of (* 1/240 (/ 1 (pow x 5))) in x 1.180 * [taylor]: Taking taylor expansion of 1/240 in x 1.180 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 1.180 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.180 * [taylor]: Taking taylor expansion of x in x 1.180 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 3))) in x 1.180 * [taylor]: Taking taylor expansion of 1/24 in x 1.180 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.180 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.180 * [taylor]: Taking taylor expansion of x in x 1.180 * [taylor]: Taking taylor expansion of (neg (+ (* 1/240 (/ 1 (pow x 5))) (* 1/24 (/ 1 (pow x 3))))) in x 1.180 * [taylor]: Taking taylor expansion of (+ (* 1/240 (/ 1 (pow x 5))) (* 1/24 (/ 1 (pow x 3)))) in x 1.180 * [taylor]: Taking taylor expansion of (* 1/240 (/ 1 (pow x 5))) in x 1.180 * [taylor]: Taking taylor expansion of 1/240 in x 1.180 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 1.180 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.180 * [taylor]: Taking taylor expansion of x in x 1.180 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 3))) in x 1.181 * [taylor]: Taking taylor expansion of 1/24 in x 1.181 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.181 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.181 * [taylor]: Taking taylor expansion of x in x 1.186 * * * [progress]: simplifying candidates 1.187 * [simplify]: Simplifying using # : (+ (log 1/24) (* (log x) 3)) (+ (log 1/24) (* (log x) 3)) (+ (log 1/24) (log (pow x 3))) (log (* 1/24 (pow x 3))) (exp (* 1/24 (pow x 3))) (* (* (* 1/24 1/24) 1/24) (* (* (pow x 3) (pow x 3)) (pow x 3))) (* (cbrt (* 1/24 (pow x 3))) (cbrt (* 1/24 (pow x 3)))) (cbrt (* 1/24 (pow x 3))) (* (* (* 1/24 (pow x 3)) (* 1/24 (pow x 3))) (* 1/24 (pow x 3))) (sqrt (* 1/24 (pow x 3))) (sqrt (* 1/24 (pow x 3))) (* (sqrt 1/24) (pow (sqrt x) 3)) (* (sqrt 1/24) (pow (sqrt x) 3)) (* (sqrt 1/24) (pow (sqrt x) 3)) (* (sqrt 1/24) (pow (sqrt x) 3)) (* (sqrt 1/24) (sqrt (pow x 3))) (* (sqrt 1/24) (sqrt (pow x 3))) (* (sqrt 1/24) (pow x (/ 3 2))) (* (sqrt 1/24) (pow x (/ 3 2))) (* 1/24 (pow (* (cbrt x) (cbrt x)) 3)) (* 1/24 (pow (sqrt x) 3)) (* 1/24 (pow 1 3)) (* 1/24 (* x x)) (* 1/24 (* (cbrt (pow x 3)) (cbrt (pow x 3)))) (* 1/24 (pow (* (cbrt x) (cbrt x)) 3)) (* 1/24 (pow (sqrt x) 3)) (* 1/24 (pow 1 3)) (* 1/24 x) (* 1/24 (sqrt (pow x 3))) (* 1/24 1) (* 1/24 (pow x (/ 3 2))) (* (cbrt 1/24) (pow x 3)) (* (sqrt 1/24) (pow x 3)) (* 1/24 (pow x 3)) (+ (log 1/240) (* (log x) 5)) (+ (log 1/240) (* (log x) 5)) (+ (log 1/240) (log (pow x 5))) (log (* 1/240 (pow x 5))) (exp (* 1/240 (pow x 5))) (* (* (* 1/240 1/240) 1/240) (* (* (pow x 5) (pow x 5)) (pow x 5))) (* (cbrt (* 1/240 (pow x 5))) (cbrt (* 1/240 (pow x 5)))) (cbrt (* 1/240 (pow x 5))) (* (* (* 1/240 (pow x 5)) (* 1/240 (pow x 5))) (* 1/240 (pow x 5))) (sqrt (* 1/240 (pow x 5))) (sqrt (* 1/240 (pow x 5))) (* (sqrt 1/240) (pow (sqrt x) 5)) (* (sqrt 1/240) (pow (sqrt x) 5)) (* (sqrt 1/240) (sqrt (pow x 5))) (* (sqrt 1/240) (sqrt (pow x 5))) (* (sqrt 1/240) (pow x (/ 5 2))) (* (sqrt 1/240) (pow x (/ 5 2))) (* 1/240 (pow (* (cbrt x) (cbrt x)) 5)) (* 1/240 (pow (sqrt x) 5)) (* 1/240 (pow 1 5)) (* 1/240 (* (cbrt (pow x 5)) (cbrt (pow x 5)))) (* 1/240 (sqrt (pow x 5))) (* 1/240 1) (* 1/240 (pow x (/ 5 2))) (* (cbrt 1/240) (pow x 5)) (* (sqrt 1/240) (pow x 5)) (* 1/240 (pow x 5)) (* (exp (* 1/24 (pow x 3))) (exp (* 1/240 (pow x 5)))) (log (+ (* 1/24 (pow x 3)) (* 1/240 (pow x 5)))) (exp (+ (* 1/24 (pow x 3)) (* 1/240 (pow x 5)))) (* (cbrt (+ (* 1/24 (pow x 3)) (* 1/240 (pow x 5)))) (cbrt (+ (* 1/24 (pow x 3)) (* 1/240 (pow x 5))))) (cbrt (+ (* 1/24 (pow x 3)) (* 1/240 (pow x 5)))) (* (* (+ (* 1/24 (pow x 3)) (* 1/240 (pow x 5))) (+ (* 1/24 (pow x 3)) (* 1/240 (pow x 5)))) (+ (* 1/24 (pow x 3)) (* 1/240 (pow x 5)))) (sqrt (+ (* 1/24 (pow x 3)) (* 1/240 (pow x 5)))) (sqrt (+ (* 1/24 (pow x 3)) (* 1/240 (pow x 5)))) (+ (pow (* 1/24 (pow x 3)) 3) (pow (* 1/240 (pow x 5)) 3)) (+ (* (* 1/24 (pow x 3)) (* 1/24 (pow x 3))) (- (* (* 1/240 (pow x 5)) (* 1/240 (pow x 5))) (* (* 1/24 (pow x 3)) (* 1/240 (pow x 5))))) (- (* (* 1/24 (pow x 3)) (* 1/24 (pow x 3))) (* (* 1/240 (pow x 5)) (* 1/240 (pow x 5)))) (- (* 1/24 (pow x 3)) (* 1/240 (pow x 5))) (* 1/24 (pow x 3)) (* 1/24 (pow x 3)) (* 1/24 (pow x 3)) (* 1/240 (pow x 5)) (* 1/240 (pow x 5)) (* 1/240 (pow x 5)) (+ (* 1/24 (pow x 3)) (* 1/240 (pow x 5))) (+ (* 1/24 (pow x 3)) (* 1/240 (pow x 5))) (+ (* 1/24 (pow x 3)) (* 1/240 (pow x 5))) 1.191 * * [simplify]: iteration 0 : 268 enodes (cost 317 ) 1.197 * * [simplify]: iteration 1 : 1130 enodes (cost 291 ) 1.224 * * [simplify]: iteration 2 : 5001 enodes (cost 290 ) 1.227 * [simplify]: Simplified to: (log (* 1/24 (pow x 3))) (log (* 1/24 (pow x 3))) (log (* 1/24 (pow x 3))) (log (* 1/24 (pow x 3))) (exp (* 1/24 (pow x 3))) (pow (* 1/24 (pow x 3)) 3) (* (cbrt (* 1/24 (pow x 3))) (cbrt (* 1/24 (pow x 3)))) (cbrt (* 1/24 (pow x 3))) (pow (* 1/24 (pow x 3)) 3) (sqrt (* 1/24 (pow x 3))) (sqrt (* 1/24 (pow x 3))) (* (sqrt 1/24) (pow (sqrt x) 3)) (* (sqrt 1/24) (pow (sqrt x) 3)) (* (sqrt 1/24) (pow (sqrt x) 3)) (* (sqrt 1/24) (pow (sqrt x) 3)) (* (sqrt 1/24) (sqrt (pow x 3))) (* (sqrt 1/24) (sqrt (pow x 3))) (* (sqrt 1/24) (pow x 3/2)) (* (sqrt 1/24) (pow x 3/2)) (* (* 1/24 x) x) (* 1/24 (pow (sqrt x) 3)) 1/24 (* (* 1/24 x) x) (* (* 1/24 x) x) (* (* 1/24 x) x) (* 1/24 (pow (sqrt x) 3)) 1/24 (* 1/24 x) (* 1/24 (sqrt (pow x 3))) 1/24 (* 1/24 (pow x 3/2)) (* (cbrt 1/24) (pow x 3)) (* (sqrt 1/24) (pow x 3)) (* 1/24 (pow x 3)) (log (* 1/240 (pow x 5))) (log (* 1/240 (pow x 5))) (log (* 1/240 (pow x 5))) (log (* 1/240 (pow x 5))) (exp (* 1/240 (pow x 5))) (pow (* 1/240 (pow x 5)) 3) (* (cbrt (* 1/240 (pow x 5))) (cbrt (* 1/240 (pow x 5)))) (cbrt (* 1/240 (pow x 5))) (pow (* 1/240 (pow x 5)) 3) (sqrt (* 1/240 (pow x 5))) (sqrt (* 1/240 (pow x 5))) (* (sqrt 1/240) (pow (sqrt x) 5)) (* (sqrt 1/240) (pow (sqrt x) 5)) (* (sqrt 1/240) (sqrt (pow x 5))) (* (sqrt 1/240) (sqrt (pow x 5))) (* (sqrt 1/240) (pow x 5/2)) (* (sqrt 1/240) (pow x 5/2)) (* 1/240 (pow (* (cbrt x) (cbrt x)) 5)) (* 1/240 (pow (sqrt x) 5)) 1/240 (* 1/240 (* (cbrt (pow x 5)) (cbrt (pow x 5)))) (* 1/240 (sqrt (pow x 5))) 1/240 (* 1/240 (pow x 5/2)) (* (cbrt 1/240) (pow x 5)) (* (sqrt 1/240) (pow x 5)) (* 1/240 (pow x 5)) (exp (+ (* 1/24 (pow x 3)) (* 1/240 (pow x 5)))) (log (+ (* 1/24 (pow x 3)) (* 1/240 (pow x 5)))) (exp (+ (* 1/24 (pow x 3)) (* 1/240 (pow x 5)))) (* (cbrt (+ (* 1/24 (pow x 3)) (* 1/240 (pow x 5)))) (cbrt (+ (* 1/24 (pow x 3)) (* 1/240 (pow x 5))))) (cbrt (+ (* 1/24 (pow x 3)) (* 1/240 (pow x 5)))) (pow (+ (* 1/24 (pow x 3)) (* 1/240 (pow x 5))) 3) (sqrt (+ (* 1/24 (pow x 3)) (* 1/240 (pow x 5)))) (sqrt (+ (* 1/24 (pow x 3)) (* 1/240 (pow x 5)))) (+ (pow (* 1/24 (pow x 3)) 3) (pow (* 1/240 (pow x 5)) 3)) (+ (* (pow x 10) 1/57600) (- (* (pow x 6) 1/576) (* (pow x 5) (* (pow x 3) 1/5760)))) (+ (* -1/57600 (pow x 10)) (* (pow x 6) 1/576)) (- (* 1/24 (pow x 3)) (* 1/240 (pow x 5))) (* 1/24 (pow x 3)) (* 1/24 (pow x 3)) (* 1/24 (pow x 3)) (* 1/240 (pow x 5)) (* 1/240 (pow x 5)) (* 1/240 (pow x 5)) (+ (* 1/24 (pow x 3)) (* 1/240 (pow x 5))) (+ (* 1/24 (pow x 3)) (* 1/240 (pow x 5))) (+ (* 1/24 (pow x 3)) (* 1/240 (pow x 5))) 1.227 * * * [progress]: adding candidates to table 1.327 * * [progress]: iteration 4 / 4 1.327 * * * [progress]: picking best candidate 1.369 * * * * [pick]: Picked # 1.369 * * * [progress]: localizing error 1.379 * * * [progress]: generating rewritten candidates 1.379 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 1.383 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.387 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 1.390 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.400 * * * [progress]: generating series expansions 1.400 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 1.400 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.400 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.400 * [taylor]: Taking taylor expansion of 1.0 in x 1.400 * [taylor]: Taking taylor expansion of (cos x) in x 1.400 * [taylor]: Taking taylor expansion of x in x 1.401 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.401 * [taylor]: Taking taylor expansion of 1.0 in x 1.401 * [taylor]: Taking taylor expansion of (cos x) in x 1.401 * [taylor]: Taking taylor expansion of x in x 1.402 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.402 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.402 * [taylor]: Taking taylor expansion of 1.0 in x 1.402 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.402 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.402 * [taylor]: Taking taylor expansion of x in x 1.402 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.402 * [taylor]: Taking taylor expansion of 1.0 in x 1.402 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.402 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.402 * [taylor]: Taking taylor expansion of x in x 1.403 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.403 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.403 * [taylor]: Taking taylor expansion of 1.0 in x 1.403 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.403 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.403 * [taylor]: Taking taylor expansion of -1 in x 1.403 * [taylor]: Taking taylor expansion of x in x 1.403 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.403 * [taylor]: Taking taylor expansion of 1.0 in x 1.403 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.403 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.403 * [taylor]: Taking taylor expansion of -1 in x 1.403 * [taylor]: Taking taylor expansion of x in x 1.403 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.403 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.403 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.403 * [taylor]: Taking taylor expansion of 1.0 in x 1.403 * [taylor]: Taking taylor expansion of (cos x) in x 1.403 * [taylor]: Taking taylor expansion of x in x 1.403 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.403 * [taylor]: Taking taylor expansion of 1.0 in x 1.403 * [taylor]: Taking taylor expansion of (cos x) in x 1.403 * [taylor]: Taking taylor expansion of x in x 1.405 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.405 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.405 * [taylor]: Taking taylor expansion of 1.0 in x 1.405 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.405 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.405 * [taylor]: Taking taylor expansion of x in x 1.405 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.405 * [taylor]: Taking taylor expansion of 1.0 in x 1.405 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.405 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.405 * [taylor]: Taking taylor expansion of x in x 1.406 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.406 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.406 * [taylor]: Taking taylor expansion of 1.0 in x 1.406 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.406 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.406 * [taylor]: Taking taylor expansion of -1 in x 1.406 * [taylor]: Taking taylor expansion of x in x 1.406 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.406 * [taylor]: Taking taylor expansion of 1.0 in x 1.406 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.406 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.406 * [taylor]: Taking taylor expansion of -1 in x 1.406 * [taylor]: Taking taylor expansion of x in x 1.406 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 1.406 * [approximate]: Taking taylor expansion of (log (- 1.0 (cos x))) in (x) around 0 1.406 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 1.406 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.406 * [taylor]: Taking taylor expansion of 1.0 in x 1.406 * [taylor]: Taking taylor expansion of (cos x) in x 1.406 * [taylor]: Taking taylor expansion of x in x 1.406 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 1.407 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.407 * [taylor]: Taking taylor expansion of 1.0 in x 1.407 * [taylor]: Taking taylor expansion of (cos x) in x 1.407 * [taylor]: Taking taylor expansion of x in x 1.409 * [approximate]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in (x) around 0 1.409 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 1.409 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.409 * [taylor]: Taking taylor expansion of 1.0 in x 1.409 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.409 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.409 * [taylor]: Taking taylor expansion of x in x 1.409 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 1.409 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.409 * [taylor]: Taking taylor expansion of 1.0 in x 1.409 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.409 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.409 * [taylor]: Taking taylor expansion of x in x 1.414 * [approximate]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in (x) around 0 1.414 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 1.414 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.414 * [taylor]: Taking taylor expansion of 1.0 in x 1.414 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.414 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.414 * [taylor]: Taking taylor expansion of -1 in x 1.414 * [taylor]: Taking taylor expansion of x in x 1.414 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 1.414 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.414 * [taylor]: Taking taylor expansion of 1.0 in x 1.414 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.414 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.414 * [taylor]: Taking taylor expansion of -1 in x 1.414 * [taylor]: Taking taylor expansion of x in x 1.420 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.420 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 1.420 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.420 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.420 * [taylor]: Taking taylor expansion of 1.0 in x 1.420 * [taylor]: Taking taylor expansion of (cos x) in x 1.420 * [taylor]: Taking taylor expansion of x in x 1.420 * [taylor]: Taking taylor expansion of (sin x) in x 1.420 * [taylor]: Taking taylor expansion of x in x 1.421 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.421 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.421 * [taylor]: Taking taylor expansion of 1.0 in x 1.421 * [taylor]: Taking taylor expansion of (cos x) in x 1.421 * [taylor]: Taking taylor expansion of x in x 1.421 * [taylor]: Taking taylor expansion of (sin x) in x 1.421 * [taylor]: Taking taylor expansion of x in x 1.423 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 1.423 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.423 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.423 * [taylor]: Taking taylor expansion of 1.0 in x 1.423 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.423 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.423 * [taylor]: Taking taylor expansion of x in x 1.423 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.423 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.423 * [taylor]: Taking taylor expansion of x in x 1.423 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.423 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.423 * [taylor]: Taking taylor expansion of 1.0 in x 1.424 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.424 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.424 * [taylor]: Taking taylor expansion of x in x 1.424 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.424 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.424 * [taylor]: Taking taylor expansion of x in x 1.426 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 1.426 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.426 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.426 * [taylor]: Taking taylor expansion of 1.0 in x 1.426 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.426 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.426 * [taylor]: Taking taylor expansion of -1 in x 1.426 * [taylor]: Taking taylor expansion of x in x 1.426 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.426 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.426 * [taylor]: Taking taylor expansion of -1 in x 1.426 * [taylor]: Taking taylor expansion of x in x 1.426 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.426 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.426 * [taylor]: Taking taylor expansion of 1.0 in x 1.426 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.426 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.426 * [taylor]: Taking taylor expansion of -1 in x 1.426 * [taylor]: Taking taylor expansion of x in x 1.426 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.426 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.426 * [taylor]: Taking taylor expansion of -1 in x 1.426 * [taylor]: Taking taylor expansion of x in x 1.428 * * * [progress]: simplifying candidates 1.429 * [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) (exp (* (cbrt (log (- 1.0 (cos x)))) (cbrt (log (- 1.0 (cos x)))))) (exp (sqrt (log (- 1.0 (cos x))))) (exp 1) (exp (log (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (exp (log (cbrt (- 1.0 (cos x))))) (exp (log (sqrt (- 1.0 (cos x))))) (exp (log (sqrt (- 1.0 (cos x))))) (exp (log 1)) (exp (log (- 1.0 (cos x)))) (exp (log (+ (sqrt 1.0) (sqrt (cos x))))) (exp (log (- (sqrt 1.0) (sqrt (cos x))))) (exp (log 1)) (exp (log (- 1.0 (cos x)))) (exp (log (- (pow 1.0 3) (pow (cos x) 3)))) (exp (log (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))))) (exp (log (- (* 1.0 1.0) (* (cos x) (cos x))))) (exp (log (+ 1.0 (cos x)))) (log (exp (log (- 1.0 (cos x))))) (exp (exp (log (- 1.0 (cos x))))) (* (cbrt (exp (log (- 1.0 (cos x))))) (cbrt (exp (log (- 1.0 (cos x)))))) (cbrt (exp (log (- 1.0 (cos x))))) (* (* (exp (log (- 1.0 (cos x)))) (exp (log (- 1.0 (cos x))))) (exp (log (- 1.0 (cos x))))) (sqrt (exp (log (- 1.0 (cos x))))) (sqrt (exp (log (- 1.0 (cos x))))) (log (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (log (cbrt (- 1.0 (cos x)))) (log (sqrt (- 1.0 (cos x)))) (log (sqrt (- 1.0 (cos x)))) (log 1) (log (- 1.0 (cos x))) (log (+ (sqrt 1.0) (sqrt (cos x)))) (log (- (sqrt 1.0) (sqrt (cos x)))) (log 1) (log (- 1.0 (cos x))) (log (- (pow 1.0 3) (pow (cos x) 3))) (log (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (log (- (* 1.0 1.0) (* (cos x) (cos x)))) (log (+ 1.0 (cos x))) (log (- 1.0 (cos x))) (log (log (- 1.0 (cos x)))) (exp (log (- 1.0 (cos x)))) (* (cbrt (log (- 1.0 (cos x)))) (cbrt (log (- 1.0 (cos x))))) (cbrt (log (- 1.0 (cos x)))) (* (* (log (- 1.0 (cos x))) (log (- 1.0 (cos x)))) (log (- 1.0 (cos x)))) (sqrt (log (- 1.0 (cos x)))) (sqrt (log (- 1.0 (cos x)))) (- (log (- 1.0 (cos x))) (log (sin x))) (log (/ (exp (log (- 1.0 (cos x)))) (sin x))) (exp (/ (exp (log (- 1.0 (cos x)))) (sin x))) (/ (* (* (exp (log (- 1.0 (cos x)))) (exp (log (- 1.0 (cos x))))) (exp (log (- 1.0 (cos x))))) (* (* (sin x) (sin x)) (sin x))) (* (cbrt (/ (exp (log (- 1.0 (cos x)))) (sin x))) (cbrt (/ (exp (log (- 1.0 (cos x)))) (sin x)))) (cbrt (/ (exp (log (- 1.0 (cos x)))) (sin x))) (* (* (/ (exp (log (- 1.0 (cos x)))) (sin x)) (/ (exp (log (- 1.0 (cos x)))) (sin x))) (/ (exp (log (- 1.0 (cos x)))) (sin x))) (sqrt (/ (exp (log (- 1.0 (cos x)))) (sin x))) (sqrt (/ (exp (log (- 1.0 (cos x)))) (sin x))) (neg (exp (log (- 1.0 (cos x))))) (neg (sin x)) (/ (exp (log (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (exp (log (cbrt (- 1.0 (cos x))))) (cbrt (sin x))) (/ (exp (log (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (sqrt (sin x))) (/ (exp (log (cbrt (- 1.0 (cos x))))) (sqrt (sin x))) (/ (exp (log (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) 1) (/ (exp (log (cbrt (- 1.0 (cos x))))) (sin x)) (/ (exp (log (sqrt (- 1.0 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x)) (log 1/2)) (+ (* 1/12 (pow x 2)) (* 1/1440 (pow x 4)))) (log (- 1.0 (cos x))) (log (- 1.0 (cos x))) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) 1.434 * * [simplify]: iteration 0 : 289 enodes (cost 829 ) 1.439 * * [simplify]: iteration 1 : 791 enodes (cost 761 ) 1.451 * * [simplify]: iteration 2 : 2667 enodes (cost 734 ) 1.504 * * [simplify]: iteration 3 : 5001 enodes (cost 708 ) 1.508 * [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) (+ (cos x) 1.0)) (* 1.0 1.0)) (neg (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (neg (cos x)) E (exp (* (cbrt (log (- 1.0 (cos x)))) (cbrt (log (- 1.0 (cos x)))))) (exp (sqrt (log (- 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x)) 1)) (/ (sqrt (- 1.0 (cos x))) (* (sqrt (sin x)) 1)) (/ (sqrt (- 1.0 (cos x))) (* (sqrt (sin x)) 1)) (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) (* (sin x) 1)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (* (cbrt (sin x)) 1)) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (* (sqrt (sin x)) 1)) 1 (/ (- 1.0 (cos x)) (sin x)) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (cbrt (sin x))) (cbrt (sin x))) (/ (exp (log (- (sqrt 1.0) (sqrt (cos x))))) (cbrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (sqrt (sin x)) 1)) (/ (exp (log (- (sqrt 1.0) (sqrt (cos x))))) (sqrt (sin x))) (+ (sqrt 1.0) (sqrt (cos x))) (/ (exp (log (- (sqrt 1.0) (sqrt (cos x))))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (* (cbrt (sin x)) 1)) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (* (sqrt (sin x)) 1)) 1 (/ (- 1.0 (cos x)) (sin x)) (* (pow (cbrt (- 1.0 (cos x))) 2) (/ 1 (* (cbrt (sin x)) (cbrt (sin x))))) (/ (cbrt (- 1.0 (cos x))) (cbrt (sin x))) (* (pow (cbrt (- 1.0 (cos x))) 2) (/ 1 (sqrt (sin x)))) (/ (cbrt (- 1.0 (cos x))) (sqrt (sin x))) (pow (cbrt (- 1.0 (cos x))) 2) (/ (cbrt (- 1.0 (cos x))) (sin x)) (/ (sqrt (- 1.0 (cos x))) (* (* (cbrt (sin x)) (cbrt (sin x))) 1)) (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) 1)) (/ (sqrt (- 1.0 (cos x))) (* (sqrt (sin x)) 1)) (/ (sqrt (- 1.0 (cos x))) (* (sqrt (sin x)) 1)) (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) (* (sin x) 1)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (* (cbrt (sin x)) 1)) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (* (sqrt (sin x)) 1)) 1 (/ (- 1.0 (cos x)) (sin x)) (/ 1 (sin x)) (/ (sin x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (* (cbrt (sin x)) (cbrt (sin x))) 1)) (/ (- 1.0 (cos x)) (* (sqrt (sin x)) 1)) (- 1.0 (cos x)) (/ (sin x) (cbrt (exp (log (- 1.0 (cos x)))))) (/ (sin x) (sqrt (- 1.0 (cos x)))) (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (exp (log (- (sqrt 1.0) (sqrt (cos x)))))) (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (cbrt (exp (log (- 1.0 (cos x)))))) (/ (sin x) (sqrt (- 1.0 (cos x)))) (/ (sin x) (- 1.0 (cos x))) (* (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (sin x)) (* (+ 1.0 (cos x)) (sin 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)) (- (+ (* 2 (log x)) (log 1/2)) (+ (* 1/12 (pow x 2)) (* 1/1440 (pow x 4)))) (log (- 1.0 (cos x))) (log (- 1.0 (cos x))) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) 1.509 * * * [progress]: adding candidates to table 1.623 * [progress]: [Phase 3 of 3] Extracting. 1.623 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # # #) 1.626 * * * [regime-changes]: Trying 2 branch expressions: ((/ (- 1.0 (cos x)) (sin x)) x) 1.626 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (sin x)) from (# # # # # # # # # # # # # # # # #) 1.719 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (sin x)) from (# #) 1.751 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # # # # # # #) 1.847 * * * [regime]: Found split indices: #