6.717 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.136 * * * [progress]: [2/2] Setting up program. 0.138 * [progress]: [Phase 2 of 3] Improving. 0.138 * [simplify]: Simplifying using # : (/ (- 1.0 (cos x)) (sin x)) 0.139 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 0.140 * * [simplify]: iteration 1 : 11 enodes (cost 7 ) 0.141 * * [simplify]: iteration 2 : 14 enodes (cost 7 ) 0.143 * * [simplify]: iteration 3 : 16 enodes (cost 7 ) 0.144 * * [simplify]: iteration done : 16 enodes (cost 7 ) 0.144 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (sin x)) 0.145 * * [progress]: iteration 1 / 4 0.145 * * * [progress]: picking best candidate 0.146 * * * * [pick]: Picked # 0.146 * * * [progress]: localizing error 0.154 * * * [progress]: generating rewritten candidates 0.154 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.157 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.166 * * * [progress]: generating series expansions 0.166 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.166 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.166 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.166 * [taylor]: Taking taylor expansion of 1.0 in x 0.166 * [taylor]: Taking taylor expansion of (cos x) in x 0.166 * [taylor]: Taking taylor expansion of x in x 0.166 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.166 * [taylor]: Taking taylor expansion of 1.0 in x 0.166 * [taylor]: Taking taylor expansion of (cos x) in x 0.166 * [taylor]: Taking taylor expansion of x in x 0.177 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.178 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.178 * [taylor]: Taking taylor expansion of 1.0 in x 0.178 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.178 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.178 * [taylor]: Taking taylor expansion of x in x 0.178 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.178 * [taylor]: Taking taylor expansion of 1.0 in x 0.178 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.178 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.178 * [taylor]: Taking taylor expansion of x in x 0.181 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.181 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.181 * [taylor]: Taking taylor expansion of 1.0 in x 0.181 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.181 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.181 * [taylor]: Taking taylor expansion of -1 in x 0.182 * [taylor]: Taking taylor expansion of x in x 0.182 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.182 * [taylor]: Taking taylor expansion of 1.0 in x 0.182 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.182 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.182 * [taylor]: Taking taylor expansion of -1 in x 0.182 * [taylor]: Taking taylor expansion of x in x 0.185 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.185 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 0.185 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.185 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.185 * [taylor]: Taking taylor expansion of 1.0 in x 0.185 * [taylor]: Taking taylor expansion of (cos x) in x 0.185 * [taylor]: Taking taylor expansion of x in x 0.185 * [taylor]: Taking taylor expansion of (sin x) in x 0.185 * [taylor]: Taking taylor expansion of x in x 0.188 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.188 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.188 * [taylor]: Taking taylor expansion of 1.0 in x 0.188 * [taylor]: Taking taylor expansion of (cos x) in x 0.188 * [taylor]: Taking taylor expansion of x in x 0.188 * [taylor]: Taking taylor expansion of (sin x) in x 0.188 * [taylor]: Taking taylor expansion of x in x 0.213 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 0.214 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.214 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.214 * [taylor]: Taking taylor expansion of 1.0 in x 0.214 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.214 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.214 * [taylor]: Taking taylor expansion of x in x 0.214 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.214 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.214 * [taylor]: Taking taylor expansion of x in x 0.214 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.215 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.215 * [taylor]: Taking taylor expansion of 1.0 in x 0.215 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.215 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.215 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.215 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.221 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 0.221 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.221 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.221 * [taylor]: Taking taylor expansion of 1.0 in x 0.221 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.221 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.221 * [taylor]: Taking taylor expansion of -1 in x 0.221 * [taylor]: Taking taylor expansion of x in x 0.221 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.221 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.221 * [taylor]: Taking taylor expansion of -1 in x 0.221 * [taylor]: Taking taylor expansion of x in x 0.222 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.222 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.222 * [taylor]: Taking taylor expansion of 1.0 in x 0.222 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.222 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.222 * [taylor]: Taking taylor expansion of -1 in x 0.222 * [taylor]: Taking taylor expansion of x in x 0.222 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.222 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.222 * [taylor]: Taking taylor expansion of -1 in x 0.222 * [taylor]: Taking taylor expansion of x in x 0.227 * * * [progress]: simplifying candidates 0.228 * [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)) 0.231 * * [simplify]: iteration 0 : 106 enodes (cost 665 ) 0.250 * * [simplify]: iteration 1 : 235 enodes (cost 645 ) 0.305 * * [simplify]: iteration 2 : 579 enodes (cost 609 ) 0.546 * * [simplify]: iteration 3 : 2292 enodes (cost 609 ) 1.407 * * [simplify]: iteration done : 5000 enodes (cost 608 ) 1.408 * [simplify]: Simplified to: (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0)) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt (cos x)) (sqrt 1.0)) (- (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))) (- (cos x) 1.0) (- (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 (cos x)) (sqrt 1.0)) (/ (- (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))) (* (sin x) (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0))) (* (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)) 1.408 * * * [progress]: adding candidates to table 1.537 * * [progress]: iteration 2 / 4 1.537 * * * [progress]: picking best candidate 1.573 * * * * [pick]: Picked # 1.573 * * * [progress]: localizing error 1.583 * * * [progress]: generating rewritten candidates 1.583 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 1.586 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 1.589 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.592 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.606 * * * [progress]: generating series expansions 1.606 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 1.606 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.606 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.606 * [taylor]: Taking taylor expansion of 1.0 in x 1.606 * [taylor]: Taking taylor expansion of (cos x) in x 1.606 * [taylor]: Taking taylor expansion of x in x 1.606 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.606 * [taylor]: Taking taylor expansion of 1.0 in x 1.606 * [taylor]: Taking taylor expansion of (cos x) in x 1.606 * [taylor]: Taking taylor expansion of x in x 1.621 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.621 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.621 * [taylor]: Taking taylor expansion of 1.0 in x 1.621 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.621 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.621 * [taylor]: Taking taylor expansion of x in x 1.621 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.621 * [taylor]: Taking taylor expansion of 1.0 in x 1.621 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.622 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.622 * [taylor]: Taking taylor expansion of x in x 1.625 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.625 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.625 * [taylor]: Taking taylor expansion of 1.0 in x 1.625 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.625 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.625 * [taylor]: Taking taylor expansion of -1 in x 1.625 * [taylor]: Taking taylor expansion of x in x 1.625 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.625 * [taylor]: Taking taylor expansion of 1.0 in x 1.625 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.625 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.625 * [taylor]: Taking taylor expansion of -1 in x 1.625 * [taylor]: Taking taylor expansion of x in x 1.629 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 1.629 * [approximate]: Taking taylor expansion of (log (- 1.0 (cos x))) in (x) around 0 1.629 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 1.629 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.629 * [taylor]: Taking taylor expansion of 1.0 in x 1.629 * [taylor]: Taking taylor expansion of (cos x) in x 1.629 * [taylor]: Taking taylor expansion of x in x 1.632 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 1.632 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.632 * [taylor]: Taking taylor expansion of 1.0 in x 1.632 * [taylor]: Taking taylor expansion of (cos x) in x 1.632 * [taylor]: Taking taylor expansion of x in x 1.655 * [approximate]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in (x) around 0 1.655 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 1.655 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.655 * [taylor]: Taking taylor expansion of 1.0 in x 1.655 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.655 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.655 * [taylor]: Taking taylor expansion of x in x 1.655 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 1.655 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.655 * [taylor]: Taking taylor expansion of 1.0 in x 1.655 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.655 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.655 * [taylor]: Taking taylor expansion of x in x 1.678 * [approximate]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in (x) around 0 1.678 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 1.678 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.678 * [taylor]: Taking taylor expansion of 1.0 in x 1.678 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.678 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.678 * [taylor]: Taking taylor expansion of -1 in x 1.678 * [taylor]: Taking taylor expansion of x in x 1.679 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 1.679 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.679 * [taylor]: Taking taylor expansion of 1.0 in x 1.679 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.679 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.679 * [taylor]: Taking taylor expansion of -1 in x 1.679 * [taylor]: Taking taylor expansion of x in x 1.704 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.704 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.704 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.704 * [taylor]: Taking taylor expansion of 1.0 in x 1.704 * [taylor]: Taking taylor expansion of (cos x) in x 1.704 * [taylor]: Taking taylor expansion of x in x 1.704 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.704 * [taylor]: Taking taylor expansion of 1.0 in x 1.704 * [taylor]: Taking taylor expansion of (cos x) in x 1.704 * [taylor]: Taking taylor expansion of x in x 1.715 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.715 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.715 * [taylor]: Taking taylor expansion of 1.0 in x 1.715 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.715 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.715 * [taylor]: Taking taylor expansion of x in x 1.715 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.715 * [taylor]: Taking taylor expansion of 1.0 in x 1.715 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.715 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.715 * [taylor]: Taking taylor expansion of x in x 1.719 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 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 -1 in x 1.719 * [taylor]: Taking taylor expansion of 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 -1 in x 1.719 * [taylor]: Taking taylor expansion of x in x 1.722 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.723 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 1.723 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.723 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.723 * [taylor]: Taking taylor expansion of 1.0 in x 1.723 * [taylor]: Taking taylor expansion of (cos x) in x 1.723 * [taylor]: Taking taylor expansion of x in x 1.723 * [taylor]: Taking taylor expansion of (sin x) in x 1.723 * [taylor]: Taking taylor expansion of x in x 1.726 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.726 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.726 * [taylor]: Taking taylor expansion of 1.0 in x 1.726 * [taylor]: Taking taylor expansion of (cos x) in x 1.726 * [taylor]: Taking taylor expansion of x in x 1.726 * [taylor]: Taking taylor expansion of (sin x) in x 1.726 * [taylor]: Taking taylor expansion of x in x 1.744 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 1.744 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.744 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.744 * [taylor]: Taking taylor expansion of 1.0 in x 1.744 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.744 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.744 * [taylor]: Taking taylor expansion of x in x 1.744 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.744 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.744 * [taylor]: Taking taylor expansion of x in x 1.744 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.745 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.745 * [taylor]: Taking taylor expansion of 1.0 in x 1.745 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.745 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.745 * [taylor]: Taking taylor expansion of x in x 1.745 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.745 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.745 * [taylor]: Taking taylor expansion of x in x 1.750 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 1.750 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.750 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.750 * [taylor]: Taking taylor expansion of 1.0 in x 1.750 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.750 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.750 * [taylor]: Taking taylor expansion of -1 in x 1.750 * [taylor]: Taking taylor expansion of x in x 1.751 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.751 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.751 * [taylor]: Taking taylor expansion of -1 in x 1.751 * [taylor]: Taking taylor expansion of x in x 1.751 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.751 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.751 * [taylor]: Taking taylor expansion of 1.0 in x 1.751 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.751 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.751 * [taylor]: Taking taylor expansion of -1 in x 1.751 * [taylor]: Taking taylor expansion of x in x 1.752 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.752 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.752 * [taylor]: Taking taylor expansion of -1 in x 1.752 * [taylor]: Taking taylor expansion of x in x 1.757 * * * [progress]: simplifying candidates 1.759 * [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)) 1.763 * * [simplify]: iteration 0 : 168 enodes (cost 1421 ) 1.797 * * [simplify]: iteration 1 : 290 enodes (cost 1183 ) 1.856 * * [simplify]: iteration 2 : 702 enodes (cost 1121 ) 2.127 * * [simplify]: iteration 3 : 2439 enodes (cost 1111 ) 2.953 * * [simplify]: iteration done : 5000 enodes (cost 1110 ) 2.954 * [simplify]: Simplified to: (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (exp (* 2 (log (cbrt (- 1.0 (cos x)))))) (cbrt (- 1.0 (cos x))) (exp (* 3 (log (- 1.0 (cos x))))) (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)) (* (+ (cos x) 1.0) (- 1.0 (cos x))) (+ (cos x) 1.0) (+ (sqrt (cos x)) (sqrt 1.0)) (- (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 (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0))) (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 (exp (* 2 (log (cbrt (- 1.0 (cos x)))))) (cbrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) 1 (- 1.0 (cos x)) (+ (sqrt (cos x)) (sqrt 1.0)) (- (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)) (* (+ (cos x) 1.0) (- 1.0 (cos x))) (+ (cos x) 1.0) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (exp (* 2 (log (cbrt (- 1.0 (cos x)))))) (cbrt (- 1.0 (cos x))) (exp (* 3 (log (- 1.0 (cos x))))) (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 (/ (- 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))) (- (cos x) 1.0) (- (sin x)) (/ (exp (* 2 (log (cbrt (- 1.0 (cos x)))))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (exp (* 2 (log (cbrt (- 1.0 (cos x)))))) (sqrt (sin x))) (/ (cbrt (- 1.0 (cos x))) (sqrt (sin x))) (exp (* 2 (log (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 (cos x)) (sqrt 1.0)) (/ (- (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)) (/ (exp (* 2 (log (cbrt (- 1.0 (cos x)))))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (exp (* 2 (log (cbrt (- 1.0 (cos x)))))) (sqrt (sin x))) (/ (cbrt (- 1.0 (cos x))) (sqrt (sin x))) (exp (* 2 (log (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)) (/ 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))) (/ (sin x) (cbrt (- 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)) 2.955 * * * [progress]: adding candidates to table 3.143 * * [progress]: iteration 3 / 4 3.144 * * * [progress]: picking best candidate 3.186 * * * * [pick]: Picked # 3.186 * * * [progress]: localizing error 3.196 * * * [progress]: generating rewritten candidates 3.196 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2) 3.199 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 3.202 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 3.204 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 3.219 * * * [progress]: generating series expansions 3.219 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2) 3.220 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 3.220 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 3.220 * [taylor]: Taking taylor expansion of 1.0 in x 3.220 * [taylor]: Taking taylor expansion of (cos x) in x 3.220 * [taylor]: Taking taylor expansion of x in x 3.220 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 3.220 * [taylor]: Taking taylor expansion of 1.0 in x 3.220 * [taylor]: Taking taylor expansion of (cos x) in x 3.220 * [taylor]: Taking taylor expansion of x in x 3.231 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 3.231 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 3.231 * [taylor]: Taking taylor expansion of 1.0 in x 3.231 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.231 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.231 * [taylor]: Taking taylor expansion of x in x 3.231 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 3.231 * [taylor]: Taking taylor expansion of 1.0 in x 3.231 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.231 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.231 * [taylor]: Taking taylor expansion of x in x 3.235 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 3.235 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 3.235 * [taylor]: Taking taylor expansion of 1.0 in x 3.235 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.235 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.235 * [taylor]: Taking taylor expansion of -1 in x 3.235 * [taylor]: Taking taylor expansion of x in x 3.235 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 3.235 * [taylor]: Taking taylor expansion of 1.0 in x 3.235 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.235 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.235 * [taylor]: Taking taylor expansion of -1 in x 3.235 * [taylor]: Taking taylor expansion of x in x 3.239 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 3.239 * [approximate]: Taking taylor expansion of (+ 1.0 (cos x)) in (x) around 0 3.239 * [taylor]: Taking taylor expansion of (+ 1.0 (cos x)) in x 3.239 * [taylor]: Taking taylor expansion of 1.0 in x 3.239 * [taylor]: Taking taylor expansion of (cos x) in x 3.239 * [taylor]: Taking taylor expansion of x in x 3.239 * [taylor]: Taking taylor expansion of (+ 1.0 (cos x)) in x 3.239 * [taylor]: Taking taylor expansion of 1.0 in x 3.239 * [taylor]: Taking taylor expansion of (cos x) in x 3.239 * [taylor]: Taking taylor expansion of x in x 3.244 * [approximate]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in (x) around 0 3.244 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 3.244 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.244 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.244 * [taylor]: Taking taylor expansion of x in x 3.244 * [taylor]: Taking taylor expansion of 1.0 in x 3.244 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 3.244 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.244 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.244 * [taylor]: Taking taylor expansion of x in x 3.244 * [taylor]: Taking taylor expansion of 1.0 in x 3.246 * [approximate]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in (x) around 0 3.246 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in x 3.246 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.246 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.246 * [taylor]: Taking taylor expansion of -1 in x 3.246 * [taylor]: Taking taylor expansion of x in x 3.246 * [taylor]: Taking taylor expansion of 1.0 in x 3.246 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in x 3.247 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.247 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.247 * [taylor]: Taking taylor expansion of -1 in x 3.247 * [taylor]: Taking taylor expansion of x in x 3.247 * [taylor]: Taking taylor expansion of 1.0 in x 3.249 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 3.249 * [approximate]: Taking taylor expansion of (+ 1.0 (cos x)) in (x) around 0 3.249 * [taylor]: Taking taylor expansion of (+ 1.0 (cos x)) in x 3.249 * [taylor]: Taking taylor expansion of 1.0 in x 3.249 * [taylor]: Taking taylor expansion of (cos x) in x 3.249 * [taylor]: Taking taylor expansion of x in x 3.249 * [taylor]: Taking taylor expansion of (+ 1.0 (cos x)) in x 3.249 * [taylor]: Taking taylor expansion of 1.0 in x 3.249 * [taylor]: Taking taylor expansion of (cos x) in x 3.249 * [taylor]: Taking taylor expansion of x in x 3.253 * [approximate]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in (x) around 0 3.253 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 3.253 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.253 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.253 * [taylor]: Taking taylor expansion of x in x 3.254 * [taylor]: Taking taylor expansion of 1.0 in x 3.254 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 3.254 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.254 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.254 * [taylor]: Taking taylor expansion of x in x 3.254 * [taylor]: Taking taylor expansion of 1.0 in x 3.256 * [approximate]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in (x) around 0 3.256 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in x 3.256 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.256 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.256 * [taylor]: Taking taylor expansion of -1 in x 3.256 * [taylor]: Taking taylor expansion of x in x 3.256 * [taylor]: Taking taylor expansion of 1.0 in x 3.256 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in x 3.256 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.256 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.256 * [taylor]: Taking taylor expansion of -1 in x 3.256 * [taylor]: Taking taylor expansion of x in x 3.257 * [taylor]: Taking taylor expansion of 1.0 in x 3.258 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 3.258 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 3.259 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 3.259 * [taylor]: Taking taylor expansion of 1.0 in x 3.259 * [taylor]: Taking taylor expansion of (cos x) in x 3.259 * [taylor]: Taking taylor expansion of x in x 3.259 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 3.259 * [taylor]: Taking taylor expansion of 1.0 in x 3.259 * [taylor]: Taking taylor expansion of (cos x) in x 3.259 * [taylor]: Taking taylor expansion of x in x 3.269 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 3.269 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 3.269 * [taylor]: Taking taylor expansion of 1.0 in x 3.269 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.269 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.269 * [taylor]: Taking taylor expansion of x in x 3.273 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 3.273 * [taylor]: Taking taylor expansion of 1.0 in x 3.273 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.273 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.273 * [taylor]: Taking taylor expansion of x in x 3.276 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 3.277 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 3.277 * [taylor]: Taking taylor expansion of 1.0 in x 3.277 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.277 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.277 * [taylor]: Taking taylor expansion of -1 in x 3.277 * [taylor]: Taking taylor expansion of x in x 3.277 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 3.277 * [taylor]: Taking taylor expansion of 1.0 in x 3.277 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.277 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.277 * [taylor]: Taking taylor expansion of -1 in x 3.277 * [taylor]: Taking taylor expansion of x in x 3.281 * * * [progress]: simplifying candidates 3.282 * [simplify]: Simplifying using # : (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (* (exp (cos x)) (exp 1.0)) (log (+ (cos x) 1.0)) (exp (+ (cos x) 1.0)) (* (cbrt (+ (cos x) 1.0)) (cbrt (+ (cos x) 1.0))) (cbrt (+ (cos x) 1.0)) (* (* (+ (cos x) 1.0) (+ (cos x) 1.0)) (+ (cos x) 1.0)) (sqrt (+ (cos x) 1.0)) (sqrt (+ (cos x) 1.0)) (+ (pow (cos x) 3) (pow 1.0 3)) (+ (* (cos x) (cos x)) (- (* 1.0 1.0) (* (cos x) 1.0))) (- (* (cos x) (cos x)) (* 1.0 1.0)) (- (cos x) 1.0) (+ (cos x) 1.0) (* (exp (cos x)) (exp 1.0)) (log (+ (cos x) 1.0)) (exp (+ (cos x) 1.0)) (* (cbrt (+ (cos x) 1.0)) (cbrt (+ (cos x) 1.0))) (cbrt (+ (cos x) 1.0)) (* (* (+ (cos x) 1.0) (+ (cos x) 1.0)) (+ (cos x) 1.0)) (sqrt (+ (cos x) 1.0)) (sqrt (+ (cos x) 1.0)) (+ (pow (cos x) 3) (pow 1.0 3)) (+ (* (cos x) (cos x)) (- (* 1.0 1.0) (* (cos x) 1.0))) (- (* (cos x) (cos x)) (* 1.0 1.0)) (- (cos x) 1.0) (+ (cos x) 1.0) (- (+ (log (+ (cos x) 1.0)) (log (- 1.0 (cos x)))) (log (+ (cos x) 1.0))) (- (log (* (+ (cos x) 1.0) (- 1.0 (cos x)))) (log (+ (cos x) 1.0))) (log (/ (* (+ (cos x) 1.0) (- 1.0 (cos x))) (+ (cos x) 1.0))) (exp (/ (* (+ (cos x) 1.0) (- 1.0 (cos x))) (+ (cos x) 1.0))) (/ (* (* (* (+ (cos x) 1.0) (+ (cos x) 1.0)) (+ (cos x) 1.0)) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x)))) (* (* (+ (cos x) 1.0) (+ (cos x) 1.0)) (+ (cos x) 1.0))) (/ (* (* (* (+ (cos x) 1.0) (- 1.0 (cos x))) (* (+ (cos x) 1.0) (- 1.0 (cos x)))) (* (+ (cos x) 1.0) (- 1.0 (cos x)))) (* (* (+ (cos x) 1.0) (+ (cos x) 1.0)) (+ (cos x) 1.0))) (* (cbrt (/ (* (+ (cos x) 1.0) (- 1.0 (cos x))) (+ (cos x) 1.0))) (cbrt (/ (* (+ (cos x) 1.0) (- 1.0 (cos x))) (+ (cos x) 1.0)))) (cbrt (/ (* (+ (cos x) 1.0) (- 1.0 (cos x))) (+ (cos x) 1.0))) (* (* (/ (* (+ (cos x) 1.0) (- 1.0 (cos x))) (+ (cos x) 1.0)) (/ (* (+ (cos x) 1.0) (- 1.0 (cos x))) (+ (cos x) 1.0))) (/ (* (+ (cos x) 1.0) (- 1.0 (cos x))) (+ (cos x) 1.0))) (sqrt (/ (* (+ (cos x) 1.0) (- 1.0 (cos x))) (+ (cos x) 1.0))) (sqrt (/ (* (+ (cos x) 1.0) (- 1.0 (cos x))) (+ (cos x) 1.0))) (- (* (+ (cos x) 1.0) (- 1.0 (cos x)))) (- (+ (cos x) 1.0)) (/ (+ (cos x) 1.0) (* (cbrt (+ (cos x) 1.0)) (cbrt (+ (cos x) 1.0)))) (/ (- 1.0 (cos x)) (cbrt (+ (cos x) 1.0))) (/ (+ (cos x) 1.0) (sqrt (+ (cos x) 1.0))) (/ (- 1.0 (cos x)) (sqrt (+ (cos x) 1.0))) (/ (+ (cos x) 1.0) 1) (/ (- 1.0 (cos x)) (+ (cos x) 1.0)) (/ (+ (cos x) 1.0) 1) (/ (- 1.0 (cos x)) (+ (cos x) 1.0)) (/ 1 (+ (cos x) 1.0)) (/ (+ (cos x) 1.0) (* (+ (cos x) 1.0) (- 1.0 (cos x)))) (/ (* (+ (cos x) 1.0) (- 1.0 (cos x))) (* (cbrt (+ (cos x) 1.0)) (cbrt (+ (cos x) 1.0)))) (/ (* (+ (cos x) 1.0) (- 1.0 (cos x))) (sqrt (+ (cos x) 1.0))) (/ (* (+ (cos x) 1.0) (- 1.0 (cos x))) 1) (/ (* (+ (cos x) 1.0) (- 1.0 (cos x))) 1) (/ (+ (cos x) 1.0) (- 1.0 (cos x))) (/ (* (+ (cos x) 1.0) (- 1.0 (cos x))) (+ (pow (cos x) 3) (pow 1.0 3))) (/ (* (+ (cos x) 1.0) (- 1.0 (cos x))) (- (* (cos x) (cos x)) (* 1.0 1.0))) (* (+ (cos x) 1.0) (* (+ (* (cos x) (cos x)) (- (* 1.0 1.0) (* (cos x) 1.0))) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))))) (* (+ (cos x) 1.0) (* (+ (* (cos x) (cos x)) (- (* 1.0 1.0) (* (cos x) 1.0))) (+ 1.0 (cos x)))) (* (+ (cos x) 1.0) (* (- (cos x) 1.0) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))))) (* (+ (cos x) 1.0) (* (- (cos x) 1.0) (+ 1.0 (cos x)))) (* (+ (cos x) 1.0) (+ (* 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) (cos x)) (- (* 1.0 1.0) (* (cos x) 1.0)))) (* (+ (cos x) 1.0) (- (cos x) 1.0)) (- (+ (* 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 4)) 2.0) (* 1/2 (pow x 2))) (+ 1.0 (cos x)) (+ 1.0 (cos x)) (- (+ (* 1/24 (pow x 4)) 2.0) (* 1/2 (pow x 2))) (+ 1.0 (cos x)) (+ 1.0 (cos x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) 3.285 * * [simplify]: iteration 0 : 109 enodes (cost 1033 ) 3.307 * * [simplify]: iteration 1 : 305 enodes (cost 997 ) 3.391 * * [simplify]: iteration 2 : 1167 enodes (cost 777 ) 4.029 * * [simplify]: iteration done : 5000 enodes (cost 772 ) 4.030 * [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 (cos x)) (+ (cos x) 1.0)) (+ (cos x) 1.0) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (exp (+ (cos x) 1.0)) (log (+ (cos x) 1.0)) (exp (+ (cos x) 1.0)) (* (cbrt (+ (cos x) 1.0)) (cbrt (+ (cos x) 1.0))) (cbrt (+ (cos x) 1.0)) (pow (+ (cos x) 1.0) 3) (sqrt (+ (cos x) 1.0)) (sqrt (+ (cos x) 1.0)) (+ (pow (cos x) 3) (pow 1.0 3)) (- (* 1.0 1.0) (* (cos x) (- 1.0 (cos x)))) (* (+ (cos x) 1.0) (- (cos x) 1.0)) (- (cos x) 1.0) (+ (cos x) 1.0) (exp (+ (cos x) 1.0)) (log (+ (cos x) 1.0)) (exp (+ (cos x) 1.0)) (* (cbrt (+ (cos x) 1.0)) (cbrt (+ (cos x) 1.0))) (cbrt (+ (cos x) 1.0)) (pow (+ (cos x) 1.0) 3) (sqrt (+ (cos x) 1.0)) (sqrt (+ (cos x) 1.0)) (+ (pow (cos x) 3) (pow 1.0 3)) (- (* 1.0 1.0) (* (cos x) (- 1.0 (cos x)))) (* (+ (cos x) 1.0) (- (cos x) 1.0)) (- (cos x) 1.0) (+ (cos x) 1.0) (log (/ (- 1.0 (cos x)) 1)) (log (/ (- 1.0 (cos x)) 1)) (log (/ (- 1.0 (cos x)) 1)) (exp (/ (- 1.0 (cos x)) 1)) (/ (pow (- 1.0 (cos x)) 3) 1) (/ (pow (- 1.0 (cos x)) 3) 1) (* (cbrt (/ (- 1.0 (cos x)) 1)) (cbrt (/ (- 1.0 (cos x)) 1))) (cbrt (/ (- 1.0 (cos x)) 1)) (/ (pow (- 1.0 (cos x)) 3) 1) (sqrt (/ (- 1.0 (cos x)) 1)) (sqrt (/ (- 1.0 (cos x)) 1)) (- (* (+ (cos x) 1.0) (- 1.0 (cos x)))) (- (+ (cos x) 1.0)) (/ (+ (cos x) 1.0) (* (cbrt (+ (cos x) 1.0)) (cbrt (+ (cos x) 1.0)))) (/ (- 1.0 (cos x)) (cbrt (+ (cos x) 1.0))) (/ (+ (cos x) 1.0) (sqrt (+ (cos x) 1.0))) (/ (- 1.0 (cos x)) (sqrt (+ (cos x) 1.0))) (+ (cos x) 1.0) (/ (- 1.0 (cos x)) (+ (cos x) 1.0)) (+ (cos x) 1.0) (/ (- 1.0 (cos x)) (+ (cos x) 1.0)) (/ 1 (+ (cos x) 1.0)) (/ 1 (- 1.0 (cos x))) (/ (* (+ (cos x) 1.0) (- 1.0 (cos x))) (* (cbrt (+ (cos x) 1.0)) (cbrt (+ (cos x) 1.0)))) (/ (* (+ (cos x) 1.0) (- 1.0 (cos x))) (sqrt (+ (cos x) 1.0))) (* (- 1.0 (cos x)) (+ (cos x) 1.0)) (* (- 1.0 (cos x)) (+ (cos x) 1.0)) (/ (+ (cos x) 1.0) (- 1.0 (cos x))) (/ (* (+ (cos x) 1.0) (- 1.0 (cos x))) (+ (pow (cos x) 3) (pow 1.0 3))) (/ (/ (- 1.0 (cos x)) 1) (- (cos x) 1.0)) (* (- (* 1.0 1.0) (* (cos x) (- 1.0 (cos x)))) (* (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (+ (cos x) 1.0))) (* (* (+ (cos x) 1.0) (+ (cos x) 1.0)) (- (* 1.0 1.0) (* (cos x) (- 1.0 (cos x))))) (* (- (* (cos x) (cos x)) (* 1.0 1.0)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0))) (* (+ (cos x) 1.0) (* (- (cos x) 1.0) (+ 1.0 (cos x)))) (* (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (+ (cos x) 1.0)) (* (+ (cos x) 1.0) (+ (cos x) 1.0)) (* (- (* 1.0 1.0) (* (cos x) (- 1.0 (cos x)))) (+ (cos x) 1.0)) (* (+ (cos x) 1.0) (- (cos x) 1.0)) (- (+ (* 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 4)) 2.0) (* 1/2 (pow x 2))) (+ (cos x) 1.0) (+ (cos x) 1.0) (- (+ (* 1/24 (pow x 4)) 2.0) (* 1/2 (pow x 2))) (+ (cos x) 1.0) (+ (cos x) 1.0) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) 4.031 * * * [progress]: adding candidates to table 4.212 * * [progress]: iteration 4 / 4 4.212 * * * [progress]: picking best candidate 4.253 * * * * [pick]: Picked # 4.253 * * * [progress]: localizing error 4.263 * * * [progress]: generating rewritten candidates 4.263 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 4.266 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 4.279 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 4.291 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 4.303 * * * [progress]: generating series expansions 4.303 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 4.303 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 4.303 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.303 * [taylor]: Taking taylor expansion of 1.0 in x 4.303 * [taylor]: Taking taylor expansion of (cos x) in x 4.303 * [taylor]: Taking taylor expansion of x in x 4.303 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.303 * [taylor]: Taking taylor expansion of 1.0 in x 4.303 * [taylor]: Taking taylor expansion of (cos x) in x 4.303 * [taylor]: Taking taylor expansion of x in x 4.317 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 4.317 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.318 * [taylor]: Taking taylor expansion of 1.0 in x 4.318 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.318 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.318 * [taylor]: Taking taylor expansion of x in x 4.318 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.318 * [taylor]: Taking taylor expansion of 1.0 in x 4.318 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.318 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.318 * [taylor]: Taking taylor expansion of x in x 4.321 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 4.321 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.321 * [taylor]: Taking taylor expansion of 1.0 in x 4.321 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.321 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.321 * [taylor]: Taking taylor expansion of -1 in x 4.321 * [taylor]: Taking taylor expansion of x in x 4.322 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.322 * [taylor]: Taking taylor expansion of 1.0 in x 4.322 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.322 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.322 * [taylor]: Taking taylor expansion of -1 in x 4.322 * [taylor]: Taking taylor expansion of x in x 4.325 * * * * [progress]: [ 2 / 4 ] generating series at (2) 4.325 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 4.325 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 4.325 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.325 * [taylor]: Taking taylor expansion of 1.0 in x 4.325 * [taylor]: Taking taylor expansion of (cos x) in x 4.325 * [taylor]: Taking taylor expansion of x in x 4.325 * [taylor]: Taking taylor expansion of (sin x) in x 4.325 * [taylor]: Taking taylor expansion of x in x 4.328 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 4.328 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.328 * [taylor]: Taking taylor expansion of 1.0 in x 4.328 * [taylor]: Taking taylor expansion of (cos x) in x 4.328 * [taylor]: Taking taylor expansion of x in x 4.328 * [taylor]: Taking taylor expansion of (sin x) in x 4.328 * [taylor]: Taking taylor expansion of x in x 4.347 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 4.347 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 4.347 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.347 * [taylor]: Taking taylor expansion of 1.0 in x 4.347 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.347 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.347 * [taylor]: Taking taylor expansion of x in x 4.347 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 4.347 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.347 * [taylor]: Taking taylor expansion of x in x 4.348 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 4.348 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.348 * [taylor]: Taking taylor expansion of 1.0 in x 4.348 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.348 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.348 * [taylor]: Taking taylor expansion of x in x 4.348 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 4.348 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.348 * [taylor]: Taking taylor expansion of x in x 4.353 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 4.353 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 4.354 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.354 * [taylor]: Taking taylor expansion of 1.0 in x 4.354 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.354 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.354 * [taylor]: Taking taylor expansion of -1 in x 4.354 * [taylor]: Taking taylor expansion of x in x 4.354 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 4.354 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.354 * [taylor]: Taking taylor expansion of -1 in x 4.354 * [taylor]: Taking taylor expansion of x in x 4.354 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 4.355 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.355 * [taylor]: Taking taylor expansion of 1.0 in x 4.355 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.355 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.355 * [taylor]: Taking taylor expansion of -1 in x 4.355 * [taylor]: Taking taylor expansion of x in x 4.355 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 4.355 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.355 * [taylor]: Taking taylor expansion of -1 in x 4.355 * [taylor]: Taking taylor expansion of x in x 4.360 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 4.360 * [approximate]: Taking taylor expansion of (exp (/ (- 1.0 (cos x)) (sin x))) in (x) around 0 4.360 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos x)) (sin x))) in x 4.360 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 4.360 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.360 * [taylor]: Taking taylor expansion of 1.0 in x 4.360 * [taylor]: Taking taylor expansion of (cos x) in x 4.360 * [taylor]: Taking taylor expansion of x in x 4.360 * [taylor]: Taking taylor expansion of (sin x) in x 4.360 * [taylor]: Taking taylor expansion of x in x 4.363 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos x)) (sin x))) in x 4.363 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 4.363 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.363 * [taylor]: Taking taylor expansion of 1.0 in x 4.363 * [taylor]: Taking taylor expansion of (cos x) in x 4.363 * [taylor]: Taking taylor expansion of x in x 4.363 * [taylor]: Taking taylor expansion of (sin x) in x 4.363 * [taylor]: Taking taylor expansion of x in x 4.370 * [approximate]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) in (x) around 0 4.370 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) in x 4.370 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 4.370 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.370 * [taylor]: Taking taylor expansion of 1.0 in x 4.370 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.370 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.370 * [taylor]: Taking taylor expansion of x in x 4.371 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 4.371 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.371 * [taylor]: Taking taylor expansion of x in x 4.371 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) in x 4.371 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 4.371 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.371 * [taylor]: Taking taylor expansion of 1.0 in x 4.371 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.371 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.371 * [taylor]: Taking taylor expansion of x in x 4.372 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 4.372 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.372 * [taylor]: Taking taylor expansion of x in x 4.387 * [approximate]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) in (x) around 0 4.387 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) in x 4.387 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 4.387 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.387 * [taylor]: Taking taylor expansion of 1.0 in x 4.387 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.387 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.387 * [taylor]: Taking taylor expansion of -1 in x 4.387 * [taylor]: Taking taylor expansion of x in x 4.387 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 4.387 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.387 * [taylor]: Taking taylor expansion of -1 in x 4.387 * [taylor]: Taking taylor expansion of x in x 4.388 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) in x 4.388 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 4.388 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.388 * [taylor]: Taking taylor expansion of 1.0 in x 4.388 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.388 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.388 * [taylor]: Taking taylor expansion of -1 in x 4.388 * [taylor]: Taking taylor expansion of x in x 4.389 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 4.389 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.389 * [taylor]: Taking taylor expansion of -1 in x 4.389 * [taylor]: Taking taylor expansion of x in x 4.406 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 4.406 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 4.406 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 4.406 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.406 * [taylor]: Taking taylor expansion of 1.0 in x 4.406 * [taylor]: Taking taylor expansion of (cos x) in x 4.406 * [taylor]: Taking taylor expansion of x in x 4.406 * [taylor]: Taking taylor expansion of (sin x) in x 4.406 * [taylor]: Taking taylor expansion of x in x 4.409 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 4.409 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.409 * [taylor]: Taking taylor expansion of 1.0 in x 4.409 * [taylor]: Taking taylor expansion of (cos x) in x 4.409 * [taylor]: Taking taylor expansion of x in x 4.409 * [taylor]: Taking taylor expansion of (sin x) in x 4.409 * [taylor]: Taking taylor expansion of x in x 4.427 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 4.427 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 4.427 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.427 * [taylor]: Taking taylor expansion of 1.0 in x 4.427 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.427 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.427 * [taylor]: Taking taylor expansion of x in x 4.427 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 4.427 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.427 * [taylor]: Taking taylor expansion of x in x 4.428 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 4.428 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.428 * [taylor]: Taking taylor expansion of 1.0 in x 4.428 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.428 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.428 * [taylor]: Taking taylor expansion of x in x 4.428 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 4.428 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.428 * [taylor]: Taking taylor expansion of x in x 4.434 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 4.434 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 4.434 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.434 * [taylor]: Taking taylor expansion of 1.0 in x 4.434 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.434 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.434 * [taylor]: Taking taylor expansion of -1 in x 4.434 * [taylor]: Taking taylor expansion of x in x 4.434 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 4.434 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.434 * [taylor]: Taking taylor expansion of -1 in x 4.434 * [taylor]: Taking taylor expansion of x in x 4.435 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 4.435 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.435 * [taylor]: Taking taylor expansion of 1.0 in x 4.435 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.435 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.435 * [taylor]: Taking taylor expansion of -1 in x 4.435 * [taylor]: Taking taylor expansion of x in x 4.435 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 4.435 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.435 * [taylor]: Taking taylor expansion of -1 in x 4.435 * [taylor]: Taking taylor expansion of x in x 4.441 * * * [progress]: simplifying candidates 4.442 * [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)) 4.447 * * [simplify]: iteration 0 : 163 enodes (cost 1406 ) 4.477 * * [simplify]: iteration 1 : 305 enodes (cost 1293 ) 4.540 * * [simplify]: iteration 2 : 691 enodes (cost 1220 ) 4.807 * * [simplify]: iteration 3 : 2568 enodes (cost 1218 ) 5.675 * * [simplify]: iteration done : 5001 enodes (cost 1217 ) 5.676 * [simplify]: Simplified to: (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0)) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt (cos x)) (sqrt 1.0)) (- (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 (cos x)) (sqrt 1.0)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (+ (sqrt (cos x)) (sqrt 1.0)) (/ 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)))) (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 (cos x)) (sqrt 1.0))) (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))) (- (cos x) 1.0) (- (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 (cos x)) (sqrt 1.0)) (* (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 (cos x)) (sqrt 1.0)) (/ (- (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))) (* (sin x) (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0))) (* (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 (* x (+ (* x 1/8) 1/2))) (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)) 5.677 * * * [progress]: adding candidates to table 5.948 * [progress]: [Phase 3 of 3] Extracting. 5.948 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # # # # #) 5.952 * * * [regime-changes]: Trying 2 branch expressions: ((/ (- 1.0 (cos x)) (sin x)) x) 5.952 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (sin x)) from (# # # # # # # # # # # # # # # # # # #) 6.031 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (sin x)) from (# # # # # #) 6.060 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # # # # # # # # #) 6.140 * * * [regime]: Found split indices: #