4.411 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.126 * * * [progress]: [2/2] Setting up program. 0.129 * [progress]: [Phase 2 of 3] Improving. 0.129 * [simplify]: Simplifying using # : (/ (- 1.0 (cos x)) (sin x)) 0.131 * * [simplify]: iteration 0 : 11 enodes (cost 4 ) 0.132 * * [simplify]: iteration 1 : 14 enodes (cost 4 ) 0.133 * * [simplify]: iteration 2 : 16 enodes (cost 4 ) 0.134 * * [simplify]: iteration 3 : 16 enodes (cost 4 ) 0.134 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (sin x)) 0.135 * * [progress]: iteration 1 / 4 0.135 * * * [progress]: picking best candidate 0.136 * * * * [pick]: Picked # 0.136 * * * [progress]: localizing error 0.143 * * * [progress]: generating rewritten candidates 0.143 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.150 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.175 * * * [progress]: generating series expansions 0.175 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.175 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.175 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.175 * [taylor]: Taking taylor expansion of 1.0 in x 0.175 * [taylor]: Taking taylor expansion of (cos x) in x 0.176 * [taylor]: Taking taylor expansion of x in x 0.176 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.176 * [taylor]: Taking taylor expansion of 1.0 in x 0.176 * [taylor]: Taking taylor expansion of (cos x) in x 0.176 * [taylor]: Taking taylor expansion of x in x 0.186 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.186 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.186 * [taylor]: Taking taylor expansion of 1.0 in x 0.186 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.186 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.186 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.186 * [taylor]: Taking taylor expansion of 1.0 in x 0.186 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.186 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.189 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.189 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.189 * [taylor]: Taking taylor expansion of 1.0 in x 0.189 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.189 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.189 * [taylor]: Taking taylor expansion of -1 in x 0.189 * [taylor]: Taking taylor expansion of x in x 0.190 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.190 * [taylor]: Taking taylor expansion of 1.0 in x 0.190 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.190 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.190 * [taylor]: Taking taylor expansion of -1 in x 0.190 * [taylor]: Taking taylor expansion of x in x 0.192 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.193 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 0.193 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.193 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.193 * [taylor]: Taking taylor expansion of 1.0 in x 0.193 * [taylor]: Taking taylor expansion of (cos x) in x 0.193 * [taylor]: Taking taylor expansion of x in x 0.193 * [taylor]: Taking taylor expansion of (sin x) in x 0.193 * [taylor]: Taking taylor expansion of x in x 0.195 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.195 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.195 * [taylor]: Taking taylor expansion of 1.0 in x 0.195 * [taylor]: Taking taylor expansion of (cos x) in x 0.195 * [taylor]: Taking taylor expansion of x in x 0.195 * [taylor]: Taking taylor expansion of (sin x) in x 0.195 * [taylor]: Taking taylor expansion of x in x 0.212 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 0.212 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.212 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.212 * [taylor]: Taking taylor expansion of 1.0 in x 0.212 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.212 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.212 * [taylor]: Taking taylor expansion of x in x 0.212 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.212 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.212 * [taylor]: Taking taylor expansion of x in x 0.213 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.213 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.213 * [taylor]: Taking taylor expansion of 1.0 in x 0.213 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.213 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.213 * [taylor]: Taking taylor expansion of x in x 0.213 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.213 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.213 * [taylor]: Taking taylor expansion of x in x 0.218 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 0.218 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.218 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.218 * [taylor]: Taking taylor expansion of 1.0 in x 0.218 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.218 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.218 * [taylor]: Taking taylor expansion of -1 in x 0.218 * [taylor]: Taking taylor expansion of x in x 0.218 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.218 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.218 * [taylor]: Taking taylor expansion of -1 in x 0.218 * [taylor]: Taking taylor expansion of x in x 0.219 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.219 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.219 * [taylor]: Taking taylor expansion of 1.0 in x 0.219 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.219 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.219 * [taylor]: Taking taylor expansion of -1 in x 0.219 * [taylor]: Taking taylor expansion of x in x 0.219 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.219 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.219 * [taylor]: Taking taylor expansion of -1 in x 0.219 * [taylor]: Taking taylor expansion of x in x 0.224 * * * [progress]: simplifying candidates 0.225 * [simplify]: Simplifying using # : (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (- (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))) (- (- 1.0 (cos x))) (- (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)) 0.229 * * [simplify]: iteration 0 : 233 enodes (cost 396 ) 0.233 * * [simplify]: iteration 1 : 673 enodes (cost 373 ) 0.245 * * [simplify]: iteration 2 : 2654 enodes (cost 373 ) 0.299 * * [simplify]: iteration 3 : 5001 enodes (cost 373 ) 0.301 * [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)) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (log (/ (- 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))) (- (- 1.0 (cos x))) (- (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)) 0.302 * * * [progress]: adding candidates to table 0.429 * * [progress]: iteration 2 / 4 0.429 * * * [progress]: picking best candidate 0.458 * * * * [pick]: Picked # 0.458 * * * [progress]: localizing error 0.468 * * * [progress]: generating rewritten candidates 0.468 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 0.474 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.499 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.524 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.546 * * * [progress]: generating series expansions 0.546 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 0.547 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.547 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.547 * [taylor]: Taking taylor expansion of 1.0 in x 0.547 * [taylor]: Taking taylor expansion of (cos x) in x 0.547 * [taylor]: Taking taylor expansion of x in x 0.547 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.547 * [taylor]: Taking taylor expansion of 1.0 in x 0.547 * [taylor]: Taking taylor expansion of (cos x) in x 0.547 * [taylor]: Taking taylor expansion of x in x 0.556 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.556 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.556 * [taylor]: Taking taylor expansion of 1.0 in x 0.556 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.556 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.557 * [taylor]: Taking taylor expansion of x in x 0.557 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.557 * [taylor]: Taking taylor expansion of 1.0 in x 0.557 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.557 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.557 * [taylor]: Taking taylor expansion of x in x 0.560 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.560 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.560 * [taylor]: Taking taylor expansion of 1.0 in x 0.560 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.560 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.560 * [taylor]: Taking taylor expansion of -1 in x 0.560 * [taylor]: Taking taylor expansion of x in x 0.560 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.560 * [taylor]: Taking taylor expansion of 1.0 in x 0.560 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.560 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.560 * [taylor]: Taking taylor expansion of -1 in x 0.560 * [taylor]: Taking taylor expansion of x in x 0.563 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.563 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 0.563 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.563 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.563 * [taylor]: Taking taylor expansion of 1.0 in x 0.563 * [taylor]: Taking taylor expansion of (cos x) in x 0.563 * [taylor]: Taking taylor expansion of x in x 0.563 * [taylor]: Taking taylor expansion of (sin x) in x 0.563 * [taylor]: Taking taylor expansion of x in x 0.566 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.566 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.566 * [taylor]: Taking taylor expansion of 1.0 in x 0.566 * [taylor]: Taking taylor expansion of (cos x) in x 0.566 * [taylor]: Taking taylor expansion of x in x 0.566 * [taylor]: Taking taylor expansion of (sin x) in x 0.566 * [taylor]: Taking taylor expansion of x in x 0.586 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 0.586 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.586 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.586 * [taylor]: Taking taylor expansion of 1.0 in x 0.586 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.586 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.586 * [taylor]: Taking taylor expansion of x in x 0.586 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.586 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.586 * [taylor]: Taking taylor expansion of x in x 0.587 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.587 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.587 * [taylor]: Taking taylor expansion of 1.0 in x 0.587 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.587 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.587 * [taylor]: Taking taylor expansion of x in x 0.587 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.587 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.587 * [taylor]: Taking taylor expansion of x in x 0.592 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 0.592 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.592 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.592 * [taylor]: Taking taylor expansion of 1.0 in x 0.592 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.592 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.592 * [taylor]: Taking taylor expansion of -1 in x 0.592 * [taylor]: Taking taylor expansion of x in x 0.592 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.592 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.592 * [taylor]: Taking taylor expansion of -1 in x 0.592 * [taylor]: Taking taylor expansion of x in x 0.593 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.593 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.593 * [taylor]: Taking taylor expansion of 1.0 in x 0.593 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.593 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.593 * [taylor]: Taking taylor expansion of -1 in x 0.593 * [taylor]: Taking taylor expansion of x in x 0.593 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.593 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.593 * [taylor]: Taking taylor expansion of -1 in x 0.593 * [taylor]: Taking taylor expansion of x in x 0.598 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.598 * [approximate]: Taking taylor expansion of (exp (/ (- 1.0 (cos x)) (sin x))) in (x) around 0 0.598 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos x)) (sin x))) in x 0.598 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.598 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.598 * [taylor]: Taking taylor expansion of 1.0 in x 0.598 * [taylor]: Taking taylor expansion of (cos x) in x 0.598 * [taylor]: Taking taylor expansion of x in x 0.598 * [taylor]: Taking taylor expansion of (sin x) in x 0.598 * [taylor]: Taking taylor expansion of x in x 0.601 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos x)) (sin x))) in x 0.601 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.601 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.601 * [taylor]: Taking taylor expansion of 1.0 in x 0.601 * [taylor]: Taking taylor expansion of (cos x) in x 0.601 * [taylor]: Taking taylor expansion of x in x 0.601 * [taylor]: Taking taylor expansion of (sin x) in x 0.601 * [taylor]: Taking taylor expansion of x in x 0.607 * [approximate]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) in (x) around 0 0.607 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) in x 0.607 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.607 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.607 * [taylor]: Taking taylor expansion of 1.0 in x 0.607 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.607 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.607 * [taylor]: Taking taylor expansion of x in x 0.607 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.607 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.607 * [taylor]: Taking taylor expansion of x in x 0.608 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) in x 0.608 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.608 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.608 * [taylor]: Taking taylor expansion of 1.0 in x 0.608 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.608 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.608 * [taylor]: Taking taylor expansion of x in x 0.608 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.608 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.608 * [taylor]: Taking taylor expansion of x in x 0.622 * [approximate]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) in (x) around 0 0.622 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) in x 0.622 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.622 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.622 * [taylor]: Taking taylor expansion of 1.0 in x 0.622 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.622 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.622 * [taylor]: Taking taylor expansion of -1 in x 0.622 * [taylor]: Taking taylor expansion of x in x 0.622 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.622 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.622 * [taylor]: Taking taylor expansion of -1 in x 0.622 * [taylor]: Taking taylor expansion of x in x 0.623 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) in x 0.623 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.623 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.623 * [taylor]: Taking taylor expansion of 1.0 in x 0.623 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.623 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.623 * [taylor]: Taking taylor expansion of -1 in x 0.623 * [taylor]: Taking taylor expansion of x in x 0.623 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.623 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.623 * [taylor]: Taking taylor expansion of -1 in x 0.623 * [taylor]: Taking taylor expansion of x in x 0.636 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 0.636 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 0.636 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.636 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.636 * [taylor]: Taking taylor expansion of 1.0 in x 0.636 * [taylor]: Taking taylor expansion of (cos x) in x 0.636 * [taylor]: Taking taylor expansion of x in x 0.636 * [taylor]: Taking taylor expansion of (sin x) in x 0.636 * [taylor]: Taking taylor expansion of x in x 0.639 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.639 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.639 * [taylor]: Taking taylor expansion of 1.0 in x 0.639 * [taylor]: Taking taylor expansion of (cos x) in x 0.639 * [taylor]: Taking taylor expansion of x in x 0.639 * [taylor]: Taking taylor expansion of (sin x) in x 0.639 * [taylor]: Taking taylor expansion of x in x 0.655 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 0.655 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.655 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.655 * [taylor]: Taking taylor expansion of 1.0 in x 0.655 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.655 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.655 * [taylor]: Taking taylor expansion of x in x 0.655 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.655 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.655 * [taylor]: Taking taylor expansion of x in x 0.656 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.656 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.656 * [taylor]: Taking taylor expansion of 1.0 in x 0.656 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.656 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.656 * [taylor]: Taking taylor expansion of x in x 0.656 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.656 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.656 * [taylor]: Taking taylor expansion of x in x 0.661 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 0.661 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.661 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.661 * [taylor]: Taking taylor expansion of 1.0 in x 0.661 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.661 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.661 * [taylor]: Taking taylor expansion of -1 in x 0.661 * [taylor]: Taking taylor expansion of x in x 0.661 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.661 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.661 * [taylor]: Taking taylor expansion of -1 in x 0.661 * [taylor]: Taking taylor expansion of x in x 0.662 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.662 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.662 * [taylor]: Taking taylor expansion of 1.0 in x 0.662 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.662 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.662 * [taylor]: Taking taylor expansion of -1 in x 0.662 * [taylor]: Taking taylor expansion of x in x 0.662 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.662 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.662 * [taylor]: Taking taylor expansion of -1 in x 0.662 * [taylor]: Taking taylor expansion of x in x 0.672 * * * [progress]: simplifying candidates 0.674 * [simplify]: Simplifying using # : (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (log (* (cbrt (exp (/ (- 1.0 (cos x)) (sin x)))) (cbrt (exp (/ (- 1.0 (cos x)) (sin x)))))) (log (cbrt (exp (/ (- 1.0 (cos x)) (sin x))))) (log (sqrt (exp (/ (- 1.0 (cos x)) (sin x))))) (log (sqrt (exp (/ (- 1.0 (cos x)) (sin x))))) (log 1) (log (exp (/ (- 1.0 (cos x)) (sin x)))) (log (exp (/ 1.0 (sin x)))) (log (exp (/ (cos x) (sin x)))) (log (exp (/ (- 1.0 (cos x)) (sin x)))) (log (exp (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x)))))) (log (exp (sqrt (/ (- 1.0 (cos x)) (sin x))))) (log (exp (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))))) (log (exp (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (sin x))))) (log (exp (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1))) (log (exp (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))))) (log (exp (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))))) (log (exp (/ (sqrt (- 1.0 (cos x))) 1))) (log (exp (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))))) (log (exp (/ 1 (sqrt (sin x))))) (log (exp (/ 1 1))) (log (exp (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))))) (log (exp (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))))) (log (exp (/ (+ (sqrt 1.0) (sqrt (cos x))) 1))) (log (exp (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))))) (log (exp (/ 1 (sqrt (sin x))))) (log (exp (/ 1 1))) (log (exp 1)) (log (exp (- 1.0 (cos x)))) (log (log (exp (/ (- 1.0 (cos x)) (sin x))))) (exp (log (exp (/ (- 1.0 (cos x)) (sin x))))) (* (cbrt (log (exp (/ (- 1.0 (cos x)) (sin x))))) (cbrt (log (exp (/ (- 1.0 (cos x)) (sin x)))))) (cbrt (log (exp (/ (- 1.0 (cos x)) (sin x))))) (* (* (log (exp (/ (- 1.0 (cos x)) (sin x)))) (log (exp (/ (- 1.0 (cos x)) (sin x))))) (log (exp (/ (- 1.0 (cos x)) (sin x))))) (sqrt (log (exp (/ (- 1.0 (cos x)) (sin x))))) (sqrt (log (exp (/ (- 1.0 (cos x)) (sin x))))) (exp (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x))))) (exp (sqrt (/ (- 1.0 (cos x)) (sin x)))) (exp (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (sin x)))) (exp (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1)) (exp (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x)))) (exp (/ (sqrt (- 1.0 (cos x))) 1)) (exp (/ 1 (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ 1 (sqrt (sin x)))) (exp (/ 1 1)) (exp (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x)))) (exp (/ (+ (sqrt 1.0) (sqrt (cos x))) 1)) (exp (/ 1 (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ 1 (sqrt (sin x)))) (exp (/ 1 1)) (exp 1) (exp (- 1.0 (cos x))) (exp (/ 1.0 (sin x))) (exp (/ (cos x) (sin x))) (log (exp (/ (- 1.0 (cos x)) (sin x)))) (exp (exp (/ (- 1.0 (cos x)) (sin x)))) (* (cbrt (exp (/ (- 1.0 (cos x)) (sin x)))) (cbrt (exp (/ (- 1.0 (cos x)) (sin x))))) (cbrt (exp (/ (- 1.0 (cos x)) (sin x)))) (* (* (exp (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin x)))) (exp (/ (- 1.0 (cos x)) (sin x)))) (sqrt (exp (/ (- 1.0 (cos x)) (sin x)))) (sqrt (exp (/ (- 1.0 (cos x)) (sin 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))) (- (- 1.0 (cos x))) (- (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)) (+ (* 1/8 (pow x 2)) (+ (* 1/2 x) 1)) (exp (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin 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)) 0.679 * * [simplify]: iteration 0 : 303 enodes (cost 818 ) 0.684 * * [simplify]: iteration 1 : 799 enodes (cost 768 ) 0.697 * * [simplify]: iteration 2 : 2970 enodes (cost 766 ) 0.755 * * [simplify]: iteration 3 : 5001 enodes (cost 766 ) 0.758 * [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)) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (* 2 (log (cbrt (exp (/ (- 1.0 (cos x)) (sin x)))))) (log (cbrt (exp (/ (- 1.0 (cos x)) (sin x))))) (log (sqrt (exp (/ (- 1.0 (cos x)) (sin x))))) (log (sqrt (exp (/ (- 1.0 (cos x)) (sin x))))) 0 (/ (- 1.0 (cos x)) (sin x)) (/ 1.0 (sin x)) (/ (cos x) (sin x)) (/ (- 1.0 (cos x)) (sin x)) (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x)))) (sqrt (/ (- 1.0 (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 (- 1.0 (cos x)))) (sqrt (sin x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (sqrt (- 1.0 (cos x))) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1 (sqrt (sin x))) 1 (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (+ (sqrt 1.0) (sqrt (cos x))) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1 (sqrt (sin x))) 1 1 (- 1.0 (cos x)) (log (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin x))) (* (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))) (exp (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x))))) (exp (sqrt (/ (- 1.0 (cos x)) (sin x)))) (exp (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (sin x)))) (pow (exp (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x)))) (exp (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x)))) (exp (sqrt (- 1.0 (cos x)))) (exp (/ 1 (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ 1 (sqrt (sin x)))) E (exp (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x)))) (exp (+ (sqrt 1.0) (sqrt (cos x)))) (exp (/ 1 (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ 1 (sqrt (sin x)))) E E (exp (- 1.0 (cos x))) (exp (/ 1.0 (sin x))) (exp (/ (cos x) (sin x))) (/ (- 1.0 (cos x)) (sin x)) (exp (exp (/ (- 1.0 (cos x)) (sin x)))) (* (cbrt (exp (/ (- 1.0 (cos x)) (sin x)))) (cbrt (exp (/ (- 1.0 (cos x)) (sin x))))) (cbrt (exp (/ (- 1.0 (cos x)) (sin x)))) (pow (exp (/ (- 1.0 (cos x)) (sin x))) 3) (sqrt (exp (/ (- 1.0 (cos x)) (sin x)))) (sqrt (exp (/ (- 1.0 (cos x)) (sin 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))) (- (- 1.0 (cos x))) (- (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)) (+ (* 1/8 (pow x 2)) (+ (* 1/2 x) 1)) (exp (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin 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)) 0.759 * * * [progress]: adding candidates to table 1.034 * * [progress]: iteration 3 / 4 1.034 * * * [progress]: picking best candidate 1.063 * * * * [pick]: Picked # 1.063 * * * [progress]: localizing error 1.074 * * * [progress]: generating rewritten candidates 1.074 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 1.083 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 1.088 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.095 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.120 * * * [progress]: generating series expansions 1.120 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 1.120 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.120 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.120 * [taylor]: Taking taylor expansion of 1.0 in x 1.120 * [taylor]: Taking taylor expansion of (cos x) in x 1.120 * [taylor]: Taking taylor expansion of x in x 1.120 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.120 * [taylor]: Taking taylor expansion of 1.0 in x 1.120 * [taylor]: Taking taylor expansion of (cos x) in x 1.120 * [taylor]: Taking taylor expansion of x in x 1.130 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.130 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.130 * [taylor]: Taking taylor expansion of 1.0 in x 1.130 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.130 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.130 * [taylor]: Taking taylor expansion of x in x 1.130 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.130 * [taylor]: Taking taylor expansion of 1.0 in x 1.130 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.130 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.130 * [taylor]: Taking taylor expansion of x in x 1.133 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.133 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.133 * [taylor]: Taking taylor expansion of 1.0 in x 1.133 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.133 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.133 * [taylor]: Taking taylor expansion of -1 in x 1.133 * [taylor]: Taking taylor expansion of x in x 1.134 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.134 * [taylor]: Taking taylor expansion of 1.0 in x 1.134 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.134 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.134 * [taylor]: Taking taylor expansion of -1 in x 1.134 * [taylor]: Taking taylor expansion of x in x 1.137 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 1.137 * [approximate]: Taking taylor expansion of (log (- 1.0 (cos x))) in (x) around 0 1.137 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 1.137 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.137 * [taylor]: Taking taylor expansion of 1.0 in x 1.137 * [taylor]: Taking taylor expansion of (cos x) in x 1.137 * [taylor]: Taking taylor expansion of x in x 1.139 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 1.139 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.139 * [taylor]: Taking taylor expansion of 1.0 in x 1.139 * [taylor]: Taking taylor expansion of (cos x) in x 1.139 * [taylor]: Taking taylor expansion of x in x 1.163 * [approximate]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in (x) around 0 1.163 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 1.163 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.163 * [taylor]: Taking taylor expansion of 1.0 in x 1.163 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.163 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.163 * [taylor]: Taking taylor expansion of x in x 1.164 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 1.164 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.164 * [taylor]: Taking taylor expansion of 1.0 in x 1.164 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.164 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.164 * [taylor]: Taking taylor expansion of x in x 1.184 * [approximate]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in (x) around 0 1.184 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 1.184 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.184 * [taylor]: Taking taylor expansion of 1.0 in x 1.184 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.184 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.184 * [taylor]: Taking taylor expansion of -1 in x 1.184 * [taylor]: Taking taylor expansion of x in x 1.185 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 1.185 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.185 * [taylor]: Taking taylor expansion of 1.0 in x 1.185 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.185 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.185 * [taylor]: Taking taylor expansion of -1 in x 1.185 * [taylor]: Taking taylor expansion of x in x 1.205 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.205 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.205 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.205 * [taylor]: Taking taylor expansion of 1.0 in x 1.205 * [taylor]: Taking taylor expansion of (cos x) in x 1.205 * [taylor]: Taking taylor expansion of x in x 1.205 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.205 * [taylor]: Taking taylor expansion of 1.0 in x 1.205 * [taylor]: Taking taylor expansion of (cos x) in x 1.205 * [taylor]: Taking taylor expansion of x in x 1.214 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.214 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.214 * [taylor]: Taking taylor expansion of 1.0 in x 1.214 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.214 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.214 * [taylor]: Taking taylor expansion of x in x 1.214 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.214 * [taylor]: Taking taylor expansion of 1.0 in x 1.214 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.214 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.214 * [taylor]: Taking taylor expansion of x in x 1.217 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.217 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.217 * [taylor]: Taking taylor expansion of 1.0 in x 1.218 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.218 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.218 * [taylor]: Taking taylor expansion of -1 in x 1.218 * [taylor]: Taking taylor expansion of x in x 1.218 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.218 * [taylor]: Taking taylor expansion of 1.0 in x 1.218 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.218 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.218 * [taylor]: Taking taylor expansion of -1 in x 1.218 * [taylor]: Taking taylor expansion of x in x 1.221 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.221 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 1.221 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.221 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.221 * [taylor]: Taking taylor expansion of 1.0 in x 1.221 * [taylor]: Taking taylor expansion of (cos x) in x 1.221 * [taylor]: Taking taylor expansion of x in x 1.221 * [taylor]: Taking taylor expansion of (sin x) in x 1.221 * [taylor]: Taking taylor expansion of x in x 1.224 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.224 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.224 * [taylor]: Taking taylor expansion of 1.0 in x 1.224 * [taylor]: Taking taylor expansion of (cos x) in x 1.224 * [taylor]: Taking taylor expansion of x in x 1.224 * [taylor]: Taking taylor expansion of (sin x) in x 1.224 * [taylor]: Taking taylor expansion of x in x 1.246 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 1.246 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.246 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.246 * [taylor]: Taking taylor expansion of 1.0 in x 1.246 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.246 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.246 * [taylor]: Taking taylor expansion of x in x 1.246 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.246 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.246 * [taylor]: Taking taylor expansion of x in x 1.247 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.247 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.247 * [taylor]: Taking taylor expansion of 1.0 in x 1.247 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.247 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.247 * [taylor]: Taking taylor expansion of x in x 1.247 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.247 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.247 * [taylor]: Taking taylor expansion of x in x 1.252 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 1.252 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.252 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.252 * [taylor]: Taking taylor expansion of 1.0 in x 1.252 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.252 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.252 * [taylor]: Taking taylor expansion of -1 in x 1.252 * [taylor]: Taking taylor expansion of x in x 1.252 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.252 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.252 * [taylor]: Taking taylor expansion of -1 in x 1.252 * [taylor]: Taking taylor expansion of x in x 1.253 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.253 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.253 * [taylor]: Taking taylor expansion of 1.0 in x 1.253 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.253 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.253 * [taylor]: Taking taylor expansion of -1 in x 1.253 * [taylor]: Taking taylor expansion of x in x 1.253 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.253 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.253 * [taylor]: Taking taylor expansion of -1 in x 1.253 * [taylor]: Taking taylor expansion of x in x 1.258 * * * [progress]: simplifying candidates 1.260 * [simplify]: Simplifying using # : (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (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)))) (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 (- 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))) (- (exp (log (- 1.0 (cos x))))) (- (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 (cos x))))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (exp (log (sqrt (- 1.0 (cos x))))) (cbrt (sin x))) (/ (exp (log (sqrt (- 1.0 (cos x))))) (sqrt (sin x))) (/ (exp (log (sqrt (- 1.0 (cos x))))) (sqrt (sin x))) (/ (exp (log (sqrt (- 1.0 (cos x))))) 1) (/ (exp (log (sqrt (- 1.0 (cos x))))) (sin x)) (/ (exp (log 1)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (exp (log (- 1.0 (cos x)))) (cbrt (sin x))) (/ (exp (log 1)) (sqrt (sin x))) (/ (exp (log (- 1.0 (cos x)))) (sqrt (sin x))) (/ (exp (log 1)) 1) (/ (exp (log (- 1.0 (cos x)))) (sin x)) (/ (exp (log (+ (sqrt 1.0) (sqrt (cos x))))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (exp (log (- (sqrt 1.0) (sqrt (cos x))))) (cbrt (sin x))) (/ (exp (log (+ (sqrt 1.0) (sqrt (cos x))))) (sqrt (sin x))) (/ (exp (log (- (sqrt 1.0) (sqrt (cos x))))) (sqrt (sin x))) (/ (exp (log (+ (sqrt 1.0) (sqrt (cos x))))) 1) (/ (exp (log (- (sqrt 1.0) (sqrt (cos x))))) (sin x)) (/ (exp (log 1)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (exp (log (- 1.0 (cos x)))) (cbrt (sin x))) (/ (exp (log 1)) (sqrt (sin x))) (/ (exp (log (- 1.0 (cos x)))) (sqrt (sin x))) (/ (exp (log 1)) 1) (/ (exp (log (- 1.0 (cos x)))) (sin x)) (/ (* (cbrt (exp (log (- 1.0 (cos x))))) (cbrt (exp (log (- 1.0 (cos x)))))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt (exp (log (- 1.0 (cos x))))) (cbrt (sin x))) (/ (* (cbrt (exp (log (- 1.0 (cos x))))) (cbrt (exp (log (- 1.0 (cos x)))))) (sqrt (sin x))) (/ (cbrt (exp (log (- 1.0 (cos x))))) (sqrt (sin x))) (/ (* (cbrt (exp (log (- 1.0 (cos x))))) (cbrt (exp (log (- 1.0 (cos x)))))) 1) (/ (cbrt (exp (log (- 1.0 (cos x))))) (sin x)) (/ (sqrt (exp (log (- 1.0 (cos x))))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (exp (log (- 1.0 (cos x))))) (cbrt (sin x))) (/ (sqrt (exp (log (- 1.0 (cos x))))) (sqrt (sin x))) (/ (sqrt (exp (log (- 1.0 (cos x))))) (sqrt (sin x))) (/ (sqrt (exp (log (- 1.0 (cos x))))) 1) (/ (sqrt (exp (log (- 1.0 (cos x))))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (exp (log (- 1.0 (cos x)))) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (exp (log (- 1.0 (cos x)))) (sqrt (sin x))) (/ 1 1) (/ (exp (log (- 1.0 (cos x)))) (sin x)) (/ 1 (sin x)) (/ (sin x) (exp (log (- 1.0 (cos x))))) (/ (exp (log (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (exp (log (- 1.0 (cos x)))) (sqrt (sin x))) (/ (exp (log (- 1.0 (cos x)))) 1) (/ (sin x) (exp (log (cbrt (- 1.0 (cos x)))))) (/ (sin x) (exp (log (sqrt (- 1.0 (cos x)))))) (/ (sin x) (exp (log (- 1.0 (cos x))))) (/ (sin x) (exp (log (- (sqrt 1.0) (sqrt (cos x)))))) (/ (sin x) (exp (log (- 1.0 (cos x))))) (/ (sin x) (cbrt (exp (log (- 1.0 (cos x)))))) (/ (sin x) (sqrt (exp (log (- 1.0 (cos x)))))) (/ (sin x) (exp (log (- 1.0 (cos x))))) (* (sin x) (exp (log (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))))) (* (sin x) (exp (log (+ 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))) (- (+ (* 1/2 (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)) 1.265 * * [simplify]: iteration 0 : 289 enodes (cost 829 ) 1.269 * * [simplify]: iteration 1 : 791 enodes (cost 761 ) 1.281 * * [simplify]: iteration 2 : 2667 enodes (cost 734 ) 1.334 * * [simplify]: iteration 3 : 5001 enodes (cost 708 ) 1.338 * [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)) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (* 2 (log (cbrt (- 1.0 (cos x))))) (log (cbrt (- 1.0 (cos x)))) (log (sqrt (- 1.0 (cos x)))) (log (sqrt (- 1.0 (cos x)))) 0 (log (- 1.0 (cos x))) (log (+ (sqrt 1.0) (sqrt (cos x)))) (log (- (sqrt 1.0) (sqrt (cos x)))) 0 (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)))) (- 1.0 (cos x)) (* (cbrt (log (- 1.0 (cos x)))) (cbrt (log (- 1.0 (cos x))))) (cbrt (log (- 1.0 (cos x)))) (pow (log (- 1.0 (cos x))) 3) (sqrt (log (- 1.0 (cos x)))) (sqrt (log (- 1.0 (cos x)))) E (exp (* (cbrt (log (- 1.0 (cos x)))) (cbrt (log (- 1.0 (cos x)))))) (exp (sqrt (log (- 1.0 (cos x))))) E (pow (cbrt (- 1.0 (cos x))) 2) (cbrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) 1 (- 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) 1 (- 1.0 (cos x)) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 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))) (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 (/ (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))) (pow (/ (- 1.0 (cos x)) (sin x)) 3) (sqrt (/ (exp (log (- 1.0 (cos x)))) (sin x))) (sqrt (/ (exp (log (- 1.0 (cos x)))) (sin x))) (+ (cos x) (- 1.0)) (- (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)) (/ (/ (+ (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)) (- (+ (* 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))) (- (+ (* 1/2 (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)) 1.338 * * * [progress]: adding candidates to table 1.552 * * [progress]: iteration 4 / 4 1.552 * * * [progress]: picking best candidate 1.588 * * * * [pick]: Picked # 1.588 * * * [progress]: localizing error 1.597 * * * [progress]: generating rewritten candidates 1.597 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 2) 1.604 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 1.620 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 1.650 * * * [progress]: generating series expansions 1.650 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 2) 1.650 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.650 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.650 * [taylor]: Taking taylor expansion of 1.0 in x 1.650 * [taylor]: Taking taylor expansion of (cos x) in x 1.650 * [taylor]: Taking taylor expansion of x in x 1.650 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.650 * [taylor]: Taking taylor expansion of 1.0 in x 1.650 * [taylor]: Taking taylor expansion of (cos x) in x 1.650 * [taylor]: Taking taylor expansion of x in x 1.660 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.660 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.660 * [taylor]: Taking taylor expansion of 1.0 in x 1.660 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.660 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.660 * [taylor]: Taking taylor expansion of x in x 1.661 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.661 * [taylor]: Taking taylor expansion of 1.0 in x 1.661 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.661 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.661 * [taylor]: Taking taylor expansion of x in x 1.664 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.664 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.664 * [taylor]: Taking taylor expansion of 1.0 in x 1.664 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.664 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.664 * [taylor]: Taking taylor expansion of -1 in x 1.664 * [taylor]: Taking taylor expansion of x in x 1.664 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.664 * [taylor]: Taking taylor expansion of 1.0 in x 1.664 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.664 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.664 * [taylor]: Taking taylor expansion of -1 in x 1.664 * [taylor]: Taking taylor expansion of x in x 1.667 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 1.667 * [approximate]: Taking taylor expansion of (/ (sin x) (- 1.0 (cos x))) in (x) around 0 1.667 * [taylor]: Taking taylor expansion of (/ (sin x) (- 1.0 (cos x))) in x 1.667 * [taylor]: Taking taylor expansion of (sin x) in x 1.667 * [taylor]: Taking taylor expansion of x in x 1.667 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.667 * [taylor]: Taking taylor expansion of 1.0 in x 1.667 * [taylor]: Taking taylor expansion of (cos x) in x 1.667 * [taylor]: Taking taylor expansion of x in x 1.670 * [taylor]: Taking taylor expansion of (/ (sin x) (- 1.0 (cos x))) in x 1.670 * [taylor]: Taking taylor expansion of (sin x) in x 1.670 * [taylor]: Taking taylor expansion of x in x 1.670 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.670 * [taylor]: Taking taylor expansion of 1.0 in x 1.670 * [taylor]: Taking taylor expansion of (cos x) in x 1.670 * [taylor]: Taking taylor expansion of x in x 1.686 * [approximate]: Taking taylor expansion of (/ (sin (/ 1 x)) (- 1.0 (cos (/ 1 x)))) in (x) around 0 1.686 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (- 1.0 (cos (/ 1 x)))) in x 1.686 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.686 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.686 * [taylor]: Taking taylor expansion of x in x 1.687 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.687 * [taylor]: Taking taylor expansion of 1.0 in x 1.687 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.687 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.687 * [taylor]: Taking taylor expansion of x in x 1.687 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (- 1.0 (cos (/ 1 x)))) in x 1.687 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.687 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.687 * [taylor]: Taking taylor expansion of x in x 1.687 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.687 * [taylor]: Taking taylor expansion of 1.0 in x 1.687 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.687 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.687 * [taylor]: Taking taylor expansion of x in x 1.693 * [approximate]: Taking taylor expansion of (/ (sin (/ -1 x)) (- 1.0 (cos (/ -1 x)))) in (x) around 0 1.693 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (- 1.0 (cos (/ -1 x)))) in x 1.693 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.693 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.693 * [taylor]: Taking taylor expansion of -1 in x 1.693 * [taylor]: Taking taylor expansion of x in x 1.693 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.693 * [taylor]: Taking taylor expansion of 1.0 in x 1.693 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.693 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.693 * [taylor]: Taking taylor expansion of -1 in x 1.693 * [taylor]: Taking taylor expansion of x in x 1.693 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (- 1.0 (cos (/ -1 x)))) in x 1.694 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.694 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.694 * [taylor]: Taking taylor expansion of -1 in x 1.694 * [taylor]: Taking taylor expansion of x in x 1.694 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.694 * [taylor]: Taking taylor expansion of 1.0 in x 1.694 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.694 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.694 * [taylor]: Taking taylor expansion of -1 in x 1.694 * [taylor]: Taking taylor expansion of x in x 1.699 * * * * [progress]: [ 3 / 3 ] generating series at (2) 1.699 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 1.699 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.699 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.699 * [taylor]: Taking taylor expansion of 1.0 in x 1.699 * [taylor]: Taking taylor expansion of (cos x) in x 1.699 * [taylor]: Taking taylor expansion of x in x 1.699 * [taylor]: Taking taylor expansion of (sin x) in x 1.699 * [taylor]: Taking taylor expansion of x in x 1.702 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.702 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.702 * [taylor]: Taking taylor expansion of 1.0 in x 1.702 * [taylor]: Taking taylor expansion of (cos x) in x 1.702 * [taylor]: Taking taylor expansion of x in x 1.702 * [taylor]: Taking taylor expansion of (sin x) in x 1.702 * [taylor]: Taking taylor expansion of x in x 1.718 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 1.718 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.718 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.718 * [taylor]: Taking taylor expansion of 1.0 in x 1.718 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.718 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.718 * [taylor]: Taking taylor expansion of x in x 1.718 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.718 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.718 * [taylor]: Taking taylor expansion of x in x 1.719 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.719 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.719 * [taylor]: Taking taylor expansion of 1.0 in x 1.719 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.719 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.719 * [taylor]: Taking taylor expansion of x in x 1.719 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.719 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.719 * [taylor]: Taking taylor expansion of x in x 1.730 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 1.730 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.730 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.730 * [taylor]: Taking taylor expansion of 1.0 in x 1.730 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.730 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.730 * [taylor]: Taking taylor expansion of -1 in x 1.730 * [taylor]: Taking taylor expansion of x in x 1.730 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.730 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.730 * [taylor]: Taking taylor expansion of -1 in x 1.730 * [taylor]: Taking taylor expansion of x in x 1.731 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.731 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.731 * [taylor]: Taking taylor expansion of 1.0 in x 1.731 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.731 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.731 * [taylor]: Taking taylor expansion of -1 in x 1.731 * [taylor]: Taking taylor expansion of x in x 1.731 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.731 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.731 * [taylor]: Taking taylor expansion of -1 in x 1.731 * [taylor]: Taking taylor expansion of x in x 1.736 * * * [progress]: simplifying candidates 1.739 * [simplify]: Simplifying using # : (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (- (log (sin x)) (log (- 1.0 (cos x)))) (log (/ (sin x) (- 1.0 (cos x)))) (exp (/ (sin x) (- 1.0 (cos x)))) (/ (* (* (sin x) (sin x)) (sin x)) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x)))) (* (cbrt (/ (sin x) (- 1.0 (cos x)))) (cbrt (/ (sin x) (- 1.0 (cos x))))) (cbrt (/ (sin x) (- 1.0 (cos x)))) (* (* (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (- 1.0 (cos x)))) (/ (sin x) (- 1.0 (cos x)))) (sqrt (/ (sin x) (- 1.0 (cos x)))) (sqrt (/ (sin x) (- 1.0 (cos x)))) (- (sin x)) (- (- 1.0 (cos x))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (/ (cbrt (sin x)) (cbrt (- 1.0 (cos x)))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (- 1.0 (cos x)))) (/ (cbrt (sin x)) (sqrt (- 1.0 (cos x)))) (/ (* (cbrt (sin x)) (cbrt (sin x))) 1) (/ (cbrt (sin x)) (- 1.0 (cos x))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (+ (sqrt 1.0) (sqrt (cos x)))) (/ (cbrt (sin x)) (- (sqrt 1.0) (sqrt (cos x)))) (/ (* (cbrt (sin x)) (cbrt (sin x))) 1) (/ (cbrt (sin x)) (- 1.0 (cos x))) (/ (sqrt (sin x)) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (/ (sqrt (sin x)) (cbrt (- 1.0 (cos x)))) (/ (sqrt (sin x)) (sqrt (- 1.0 (cos x)))) (/ (sqrt (sin x)) (sqrt (- 1.0 (cos x)))) (/ (sqrt (sin x)) 1) (/ (sqrt (sin x)) (- 1.0 (cos x))) (/ (sqrt (sin x)) (+ (sqrt 1.0) (sqrt (cos x)))) (/ (sqrt (sin x)) (- (sqrt 1.0) (sqrt (cos x)))) (/ (sqrt (sin x)) 1) (/ (sqrt (sin x)) (- 1.0 (cos x))) (/ 1 (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (/ (sin x) (cbrt (- 1.0 (cos x)))) (/ 1 (sqrt (- 1.0 (cos x)))) (/ (sin x) (sqrt (- 1.0 (cos x)))) (/ 1 1) (/ (sin x) (- 1.0 (cos x))) (/ 1 (+ (sqrt 1.0) (sqrt (cos x)))) (/ (sin x) (- (sqrt 1.0) (sqrt (cos x)))) (/ 1 1) (/ (sin x) (- 1.0 (cos x))) (/ 1 (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (sin x)) (/ (sin x) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (/ (sin x) (sqrt (- 1.0 (cos x)))) (/ (sin x) 1) (/ (sin x) (+ (sqrt 1.0) (sqrt (cos x)))) (/ (sin x) 1) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ (- 1.0 (cos x)) (sin x)) (/ (sin x) (- (pow 1.0 3) (pow (cos x) 3))) (/ (sin x) (- (* 1.0 1.0) (* (cos x) (cos x)))) (- 1) (- (- (log (sin x)) (log (- 1.0 (cos x))))) (- (log (/ (sin x) (- 1.0 (cos x))))) (- 0 (- (log (sin x)) (log (- 1.0 (cos x))))) (- 0 (log (/ (sin x) (- 1.0 (cos x))))) (- (log 1) (- (log (sin x)) (log (- 1.0 (cos x))))) (- (log 1) (log (/ (sin x) (- 1.0 (cos x))))) (log (/ 1 (/ (sin x) (- 1.0 (cos x))))) (exp (/ 1 (/ (sin x) (- 1.0 (cos x))))) (/ (* (* 1 1) 1) (/ (* (* (sin x) (sin x)) (sin x)) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))))) (/ (* (* 1 1) 1) (* (* (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (- 1.0 (cos x)))) (/ (sin x) (- 1.0 (cos x))))) (* (cbrt (/ 1 (/ (sin x) (- 1.0 (cos x))))) (cbrt (/ 1 (/ (sin x) (- 1.0 (cos x)))))) (cbrt (/ 1 (/ (sin x) (- 1.0 (cos x))))) (* (* (/ 1 (/ (sin x) (- 1.0 (cos x)))) (/ 1 (/ (sin x) (- 1.0 (cos x))))) (/ 1 (/ (sin x) (- 1.0 (cos x))))) (sqrt (/ 1 (/ (sin x) (- 1.0 (cos x))))) (sqrt (/ 1 (/ (sin x) (- 1.0 (cos x))))) (- 1) (- (/ (sin x) (- 1.0 (cos x)))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (sin x) (- 1.0 (cos x)))) (cbrt (/ (sin x) (- 1.0 (cos x)))))) (/ (cbrt 1) (cbrt (/ (sin x) (- 1.0 (cos x))))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (sin x) (- 1.0 (cos x))))) (/ (cbrt 1) (sqrt (/ (sin x) (- 1.0 (cos x))))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (/ (cbrt 1) (/ (cbrt (sin x)) (cbrt (- 1.0 (cos x))))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (- 1.0 (cos x))))) (/ (cbrt 1) (/ (cbrt (sin x)) (sqrt (- 1.0 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(cos x))) (/ (/ 1 (cbrt (/ (sin x) (- 1.0 (cos x))))) (cbrt (/ (sin x) (- 1.0 (cos x))))) (/ 1 (cbrt (/ (sin x) (- 1.0 (cos x))))) (/ 1 (sqrt (/ (sin x) (- 1.0 (cos x))))) (/ 1 (sqrt (/ (sin x) (- 1.0 (cos 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))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (- 1.0 (cos x))) (cbrt (sin x))) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1 (/ (cbrt (sin x)) (- (sqrt 1.0) (sqrt (cos x))))) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 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))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (/ 1 (/ (sqrt (sin x)) (- (sqrt 1.0) (sqrt (cos x))))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (/ 1 (/ (sin x) (cbrt (- 1.0 (cos x))))) (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) (sin x)) 1 (/ (- 1.0 (cos x)) (sin x)) (+ (sqrt 1.0) (sqrt (cos x))) (/ 1 (/ (sin x) (- (sqrt 1.0) (sqrt (cos x))))) 1 (/ (- 1.0 (cos x)) (sin x)) 1 (/ (- 1.0 (cos x)) (sin x)) (/ 1 (sin x)) (- 1.0 (cos x)) (/ 1 (/ (sin x) (- (pow 1.0 3) (pow (cos x) 3)))) (/ 1 (/ (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) 1)) (/ 1 (/ (sin x) (- (* 1.0 1.0) (* (cos x) (cos x))))) (/ 1 (+ 1.0 (cos x))) (/ (- 1.0 (cos x)) (sin x)) (/ (sin x) (- 1.0 (cos x))) (/ (/ 1 (cbrt (/ (sin x) (- 1.0 (cos x))))) (cbrt (/ (sin x) (- 1.0 (cos x))))) (/ 1 (sqrt (/ (sin x) (- 1.0 (cos x))))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ 1 (sqrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (/ 1 (sqrt (sin x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (- 1.0 (cos x))) 1 (+ (sqrt 1.0) (sqrt (cos x))) 1 1 (/ 1 (sin x)) (/ 1 (/ (sin x) (- (pow 1.0 3) (pow (cos x) 3)))) (/ 1 (/ (sin x) (- (* 1.0 1.0) (* (cos x) (cos x))))) (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (- 1.0 (cos x))) (/ 1 (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)) (- (- (/ 2 x) (* 1/6 x)) (* 1/360 (pow x 3))) (/ (sin x) (- 1.0 (cos x))) (/ (sin 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)) 1.797 * * * [progress]: adding candidates to table 2.034 * [progress]: [Phase 3 of 3] Extracting. 2.034 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # #) 2.036 * * * [regime-changes]: Trying 2 branch expressions: ((/ (- 1.0 (cos x)) (sin x)) x) 2.036 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (sin x)) from (# # # # # # # # # # # # # #) 2.102 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (sin x)) from (# # #) 2.127 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # # # #) 2.193 * * * [regime]: Found split indices: #