6.490 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.128 * * * [progress]: [2/2] Setting up program. 0.130 * [progress]: [Phase 2 of 3] Improving. 0.131 * [simplify]: Simplifying using # : (/ (- 1.0 (cos x)) (sin x)) 0.133 * * [simplify]: iteration 0 : 11 enodes (cost 4 ) 0.134 * * [simplify]: iteration 1 : 14 enodes (cost 4 ) 0.135 * * [simplify]: iteration 2 : 16 enodes (cost 4 ) 0.136 * * [simplify]: iteration 3 : 16 enodes (cost 4 ) 0.136 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (sin x)) 0.137 * * [progress]: iteration 1 / 4 0.137 * * * [progress]: picking best candidate 0.138 * * * * [pick]: Picked # 0.138 * * * [progress]: localizing error 0.146 * * * [progress]: generating rewritten candidates 0.146 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.148 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.158 * * * [progress]: generating series expansions 0.158 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.158 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.158 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.158 * [taylor]: Taking taylor expansion of 1.0 in x 0.158 * [taylor]: Taking taylor expansion of (cos x) in x 0.158 * [taylor]: Taking taylor expansion of x in x 0.158 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.158 * [taylor]: Taking taylor expansion of 1.0 in x 0.158 * [taylor]: Taking taylor expansion of (cos x) in x 0.158 * [taylor]: Taking taylor expansion of x in x 0.169 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.169 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.169 * [taylor]: Taking taylor expansion of 1.0 in x 0.169 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.169 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.169 * [taylor]: Taking taylor expansion of x in x 0.170 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.170 * [taylor]: Taking taylor expansion of 1.0 in x 0.170 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.170 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.170 * [taylor]: Taking taylor expansion of x in x 0.173 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.173 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.173 * [taylor]: Taking taylor expansion of 1.0 in x 0.173 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.173 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.173 * [taylor]: Taking taylor expansion of -1 in x 0.173 * [taylor]: Taking taylor expansion of x in x 0.174 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.174 * [taylor]: Taking taylor expansion of 1.0 in x 0.174 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.174 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.174 * [taylor]: Taking taylor expansion of -1 in x 0.174 * [taylor]: Taking taylor expansion of x in x 0.177 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.177 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 0.177 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.177 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.177 * [taylor]: Taking taylor expansion of 1.0 in x 0.177 * [taylor]: Taking taylor expansion of (cos x) in x 0.177 * [taylor]: Taking taylor expansion of x in x 0.177 * [taylor]: Taking taylor expansion of (sin x) in x 0.177 * [taylor]: Taking taylor expansion of x in x 0.180 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.180 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.180 * [taylor]: Taking taylor expansion of 1.0 in x 0.180 * [taylor]: Taking taylor expansion of (cos x) in x 0.180 * [taylor]: Taking taylor expansion of x in x 0.180 * [taylor]: Taking taylor expansion of (sin x) in x 0.180 * [taylor]: Taking taylor expansion of x in x 0.204 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 0.204 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.205 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.205 * [taylor]: Taking taylor expansion of 1.0 in x 0.205 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.205 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.205 * [taylor]: Taking taylor expansion of x in x 0.205 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.205 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.205 * [taylor]: Taking taylor expansion of x in x 0.206 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.206 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.206 * [taylor]: Taking taylor expansion of 1.0 in x 0.206 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.206 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.206 * [taylor]: Taking taylor expansion of x in x 0.206 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.206 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.206 * [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 -1 in x 0.212 * [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 -1 in x 0.213 * [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 -1 in x 0.213 * [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 -1 in x 0.214 * [taylor]: Taking taylor expansion of x in x 0.219 * * * [progress]: simplifying candidates 0.220 * [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)) 0.224 * * [simplify]: iteration 0 : 233 enodes (cost 396 ) 0.228 * * [simplify]: iteration 1 : 673 enodes (cost 373 ) 0.240 * * [simplify]: iteration 2 : 2654 enodes (cost 373 ) 0.296 * * [simplify]: iteration 3 : 5001 enodes (cost 373 ) 0.298 * [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)) 0.298 * * * [progress]: adding candidates to table 0.424 * * [progress]: iteration 2 / 4 0.424 * * * [progress]: picking best candidate 0.451 * * * * [pick]: Picked # 0.451 * * * [progress]: localizing error 0.461 * * * [progress]: generating rewritten candidates 0.461 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 0.468 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.480 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.492 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.504 * * * [progress]: generating series expansions 0.504 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 0.504 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.504 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.504 * [taylor]: Taking taylor expansion of 1.0 in x 0.504 * [taylor]: Taking taylor expansion of (cos x) in x 0.504 * [taylor]: Taking taylor expansion of x in x 0.504 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.504 * [taylor]: Taking taylor expansion of 1.0 in x 0.504 * [taylor]: Taking taylor expansion of (cos x) in x 0.504 * [taylor]: Taking taylor expansion of x in x 0.515 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.515 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.515 * [taylor]: Taking taylor expansion of 1.0 in x 0.515 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.515 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.515 * [taylor]: Taking taylor expansion of x in x 0.515 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.515 * [taylor]: Taking taylor expansion of 1.0 in x 0.515 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.515 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.515 * [taylor]: Taking taylor expansion of x in x 0.519 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.519 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.519 * [taylor]: Taking taylor expansion of 1.0 in x 0.519 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.519 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.519 * [taylor]: Taking taylor expansion of -1 in x 0.519 * [taylor]: Taking taylor expansion of x in x 0.519 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.519 * [taylor]: Taking taylor expansion of 1.0 in x 0.519 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.519 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.519 * [taylor]: Taking taylor expansion of -1 in x 0.519 * [taylor]: Taking taylor expansion of x in x 0.522 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.523 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 0.523 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.523 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.523 * [taylor]: Taking taylor expansion of 1.0 in x 0.523 * [taylor]: Taking taylor expansion of (cos x) in x 0.523 * [taylor]: Taking taylor expansion of x in x 0.523 * [taylor]: Taking taylor expansion of (sin x) in x 0.523 * [taylor]: Taking taylor expansion of x in x 0.526 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.526 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.526 * [taylor]: Taking taylor expansion of 1.0 in x 0.526 * [taylor]: Taking taylor expansion of (cos x) in x 0.526 * [taylor]: Taking taylor expansion of x in x 0.526 * [taylor]: Taking taylor expansion of (sin x) in x 0.526 * [taylor]: Taking taylor expansion of x in x 0.549 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 0.549 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.549 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.549 * [taylor]: Taking taylor expansion of 1.0 in x 0.549 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.549 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.549 * [taylor]: Taking taylor expansion of x in x 0.549 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.549 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.549 * [taylor]: Taking taylor expansion of x in x 0.550 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.550 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.550 * [taylor]: Taking taylor expansion of 1.0 in x 0.550 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.550 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.550 * [taylor]: Taking taylor expansion of x in x 0.550 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.550 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.550 * [taylor]: Taking taylor expansion of x in x 0.556 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 0.556 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 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 0.556 * [taylor]: Taking taylor expansion of -1 in x 0.556 * [taylor]: Taking taylor expansion of x in x 0.556 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.556 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.556 * [taylor]: Taking taylor expansion of -1 in x 0.556 * [taylor]: Taking taylor expansion of x in x 0.557 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 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 -1 in x 0.557 * [taylor]: Taking taylor expansion of x in x 0.557 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.557 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.557 * [taylor]: Taking taylor expansion of -1 in x 0.557 * [taylor]: Taking taylor expansion of x in x 0.562 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.563 * [approximate]: Taking taylor expansion of (exp (/ (- 1.0 (cos x)) (sin x))) in (x) around 0 0.563 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos x)) (sin x))) in x 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 (exp (/ (- 1.0 (cos x)) (sin 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 0.573 * [approximate]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) in (x) around 0 0.573 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) in x 0.573 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.573 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.573 * [taylor]: Taking taylor expansion of 1.0 in x 0.573 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.573 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.573 * [taylor]: Taking taylor expansion of x in x 0.574 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.574 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.574 * [taylor]: Taking taylor expansion of x in x 0.574 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) in x 0.574 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.574 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.574 * [taylor]: Taking taylor expansion of 1.0 in x 0.574 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.574 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.574 * [taylor]: Taking taylor expansion of x in x 0.575 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.575 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.575 * [taylor]: Taking taylor expansion of x in x 0.589 * [approximate]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) in (x) around 0 0.589 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) in x 0.589 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.589 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.589 * [taylor]: Taking taylor expansion of 1.0 in x 0.589 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.589 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.589 * [taylor]: Taking taylor expansion of -1 in x 0.589 * [taylor]: Taking taylor expansion of x in x 0.589 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.590 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.590 * [taylor]: Taking taylor expansion of -1 in x 0.590 * [taylor]: Taking taylor expansion of x in x 0.590 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) in x 0.590 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.590 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.590 * [taylor]: Taking taylor expansion of 1.0 in x 0.590 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.590 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.590 * [taylor]: Taking taylor expansion of -1 in x 0.590 * [taylor]: Taking taylor expansion of x in x 0.591 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.591 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.591 * [taylor]: Taking taylor expansion of -1 in x 0.591 * [taylor]: Taking taylor expansion of x in x 0.605 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 0.605 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 0.605 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.605 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.605 * [taylor]: Taking taylor expansion of 1.0 in x 0.605 * [taylor]: Taking taylor expansion of (cos x) in x 0.605 * [taylor]: Taking taylor expansion of x in x 0.605 * [taylor]: Taking taylor expansion of (sin x) in x 0.605 * [taylor]: Taking taylor expansion of x in x 0.609 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.609 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.609 * [taylor]: Taking taylor expansion of 1.0 in x 0.609 * [taylor]: Taking taylor expansion of (cos x) in x 0.609 * [taylor]: Taking taylor expansion of x in x 0.609 * [taylor]: Taking taylor expansion of (sin x) in x 0.609 * [taylor]: Taking taylor expansion of x in x 0.627 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 0.627 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.627 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.627 * [taylor]: Taking taylor expansion of 1.0 in x 0.627 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.627 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.627 * [taylor]: Taking taylor expansion of x in x 0.628 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.628 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.628 * [taylor]: Taking taylor expansion of x in x 0.628 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.628 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.628 * [taylor]: Taking taylor expansion of 1.0 in x 0.628 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.628 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.628 * [taylor]: Taking taylor expansion of x in x 0.629 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.629 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.629 * [taylor]: Taking taylor expansion of x in x 0.640 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 0.640 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.640 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.640 * [taylor]: Taking taylor expansion of 1.0 in x 0.640 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.640 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.640 * [taylor]: Taking taylor expansion of -1 in x 0.640 * [taylor]: Taking taylor expansion of x in x 0.641 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.641 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.641 * [taylor]: Taking taylor expansion of -1 in x 0.641 * [taylor]: Taking taylor expansion of x in x 0.641 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.641 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.641 * [taylor]: Taking taylor expansion of 1.0 in x 0.641 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.641 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.641 * [taylor]: Taking taylor expansion of -1 in x 0.641 * [taylor]: Taking taylor expansion of x in x 0.642 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.642 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.642 * [taylor]: Taking taylor expansion of -1 in x 0.642 * [taylor]: Taking taylor expansion of x in x 0.647 * * * [progress]: simplifying candidates 0.649 * [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)) 0.654 * * [simplify]: iteration 0 : 303 enodes (cost 818 ) 0.658 * * [simplify]: iteration 1 : 799 enodes (cost 768 ) 0.671 * * [simplify]: iteration 2 : 2970 enodes (cost 766 ) 0.730 * * [simplify]: iteration 3 : 5001 enodes (cost 766 ) 0.734 * [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)) 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(* (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)) 0.734 * * * [progress]: adding candidates to table 1.016 * * [progress]: iteration 3 / 4 1.016 * * * [progress]: picking best candidate 1.049 * * * * [pick]: Picked # 1.049 * * * [progress]: localizing error 1.058 * * * [progress]: generating rewritten candidates 1.058 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 1.061 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 1.064 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.072 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.107 * * * [progress]: generating series expansions 1.107 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 1.108 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.108 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.108 * [taylor]: Taking taylor expansion of 1.0 in x 1.108 * [taylor]: Taking taylor expansion of (cos x) in x 1.108 * [taylor]: Taking taylor expansion of x in x 1.108 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.108 * [taylor]: Taking taylor expansion of 1.0 in x 1.108 * [taylor]: Taking taylor expansion of (cos x) in x 1.108 * [taylor]: Taking taylor expansion of x in x 1.118 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.118 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.118 * [taylor]: Taking taylor expansion of 1.0 in x 1.118 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.118 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.118 * [taylor]: Taking taylor expansion of x in x 1.123 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.123 * [taylor]: Taking taylor expansion of 1.0 in x 1.123 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.123 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.123 * [taylor]: Taking taylor expansion of x in x 1.126 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.126 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.126 * [taylor]: Taking taylor expansion of 1.0 in x 1.126 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.126 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.126 * [taylor]: Taking taylor expansion of -1 in x 1.126 * [taylor]: Taking taylor expansion of x in x 1.127 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.127 * [taylor]: Taking taylor expansion of 1.0 in x 1.127 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.127 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.127 * [taylor]: Taking taylor expansion of -1 in x 1.127 * [taylor]: Taking taylor expansion of x in x 1.130 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 1.130 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.130 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.130 * [taylor]: Taking taylor expansion of 1.0 in x 1.130 * [taylor]: Taking taylor expansion of (cos x) in x 1.130 * [taylor]: Taking taylor expansion of x in x 1.130 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.130 * [taylor]: Taking taylor expansion of 1.0 in x 1.130 * [taylor]: Taking taylor expansion of (cos x) in x 1.130 * [taylor]: Taking taylor expansion of x in x 1.141 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.141 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.141 * [taylor]: Taking taylor expansion of 1.0 in x 1.141 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.141 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.141 * [taylor]: Taking taylor expansion of x in x 1.141 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.141 * [taylor]: Taking taylor expansion of 1.0 in x 1.141 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.141 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.141 * [taylor]: Taking taylor expansion of x in x 1.145 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.145 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.145 * [taylor]: Taking taylor expansion of 1.0 in x 1.145 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.145 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.145 * [taylor]: Taking taylor expansion of -1 in x 1.145 * [taylor]: Taking taylor expansion of x in x 1.145 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.145 * [taylor]: Taking taylor expansion of 1.0 in x 1.145 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.145 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.145 * [taylor]: Taking taylor expansion of -1 in x 1.145 * [taylor]: Taking taylor expansion of x in x 1.149 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.149 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 (sin x))) in (x) around 0 1.149 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 (sin x))) in x 1.149 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 1.149 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.149 * [taylor]: Taking taylor expansion of 1.0 in x 1.149 * [taylor]: Taking taylor expansion of (cos x) in x 1.149 * [taylor]: Taking taylor expansion of x in x 1.153 * [taylor]: Taking taylor expansion of (/ 1 (sin x)) in x 1.153 * [taylor]: Taking taylor expansion of (sin x) in x 1.153 * [taylor]: Taking taylor expansion of x in x 1.154 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 (sin x))) in x 1.154 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 1.154 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.154 * [taylor]: Taking taylor expansion of 1.0 in x 1.154 * [taylor]: Taking taylor expansion of (cos x) in x 1.154 * [taylor]: Taking taylor expansion of x in x 1.158 * [taylor]: Taking taylor expansion of (/ 1 (sin x)) in x 1.158 * [taylor]: Taking taylor expansion of (sin x) in x 1.158 * [taylor]: Taking taylor expansion of x in x 1.219 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ 1 x)))) (/ 1 (sin (/ 1 x)))) in (x) around 0 1.219 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ 1 x)))) (/ 1 (sin (/ 1 x)))) in x 1.219 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 1.219 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.219 * [taylor]: Taking taylor expansion of 1.0 in x 1.219 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.219 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.219 * [taylor]: Taking taylor expansion of x in x 1.220 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ 1 x))) in x 1.220 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.220 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.220 * [taylor]: Taking taylor expansion of x in x 1.221 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ 1 x)))) (/ 1 (sin (/ 1 x)))) in x 1.221 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 1.221 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.221 * [taylor]: Taking taylor expansion of 1.0 in x 1.221 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.221 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.221 * [taylor]: Taking taylor expansion of x in x 1.222 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ 1 x))) in x 1.222 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.222 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.222 * [taylor]: Taking taylor expansion of x in x 1.233 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) (/ 1 (sin (/ -1 x)))) in (x) around 0 1.233 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) (/ 1 (sin (/ -1 x)))) in x 1.233 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 1.233 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.233 * [taylor]: Taking taylor expansion of 1.0 in x 1.233 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.233 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.233 * [taylor]: Taking taylor expansion of -1 in x 1.233 * [taylor]: Taking taylor expansion of x in x 1.234 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ -1 x))) in x 1.234 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.234 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.234 * [taylor]: Taking taylor expansion of -1 in x 1.234 * [taylor]: Taking taylor expansion of x in x 1.235 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) (/ 1 (sin (/ -1 x)))) in x 1.235 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 1.235 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.235 * [taylor]: Taking taylor expansion of 1.0 in x 1.235 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.235 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.235 * [taylor]: Taking taylor expansion of -1 in x 1.235 * [taylor]: Taking taylor expansion of x in x 1.236 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ -1 x))) in x 1.236 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.236 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.236 * [taylor]: Taking taylor expansion of -1 in x 1.236 * [taylor]: Taking taylor expansion of x in x 1.247 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.247 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 1.248 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.248 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.248 * [taylor]: Taking taylor expansion of 1.0 in x 1.248 * [taylor]: Taking taylor expansion of (cos x) in x 1.248 * [taylor]: Taking taylor expansion of x in x 1.248 * [taylor]: Taking taylor expansion of (sin x) in x 1.248 * [taylor]: Taking taylor expansion of x in x 1.251 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.251 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.251 * [taylor]: Taking taylor expansion of 1.0 in x 1.251 * [taylor]: Taking taylor expansion of (cos x) in x 1.251 * [taylor]: Taking taylor expansion of x in x 1.251 * [taylor]: Taking taylor expansion of (sin x) in x 1.251 * [taylor]: Taking taylor expansion of x in x 1.269 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 1.269 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.269 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.269 * [taylor]: Taking taylor expansion of 1.0 in x 1.269 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.269 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.269 * [taylor]: Taking taylor expansion of x in x 1.269 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.269 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.269 * [taylor]: Taking taylor expansion of x in x 1.270 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.270 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.270 * [taylor]: Taking taylor expansion of 1.0 in x 1.270 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.270 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.270 * [taylor]: Taking taylor expansion of x in x 1.270 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.270 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.270 * [taylor]: Taking taylor expansion of x in x 1.276 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 1.276 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.276 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.276 * [taylor]: Taking taylor expansion of 1.0 in x 1.276 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.276 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.276 * [taylor]: Taking taylor expansion of -1 in x 1.276 * [taylor]: Taking taylor expansion of x in x 1.276 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.276 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.276 * [taylor]: Taking taylor expansion of -1 in x 1.276 * [taylor]: Taking taylor expansion of x in x 1.277 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.277 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.277 * [taylor]: Taking taylor expansion of 1.0 in x 1.277 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.277 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.277 * [taylor]: Taking taylor expansion of -1 in x 1.277 * [taylor]: Taking taylor expansion of x in x 1.277 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.277 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.277 * [taylor]: Taking taylor expansion of -1 in x 1.277 * [taylor]: Taking taylor expansion of x in x 1.282 * * * [progress]: simplifying candidates 1.284 * [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 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 (sqrt (- 1.0 (cos x)))) (log (sin x))) (log (/ (sqrt (- 1.0 (cos x))) (sin x))) (exp (/ (sqrt (- 1.0 (cos x))) (sin x))) (/ (* (* (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x)))) (sqrt (- 1.0 (cos x)))) (* (* (sin x) (sin x)) (sin x))) (* (cbrt (/ (sqrt (- 1.0 (cos x))) (sin x))) (cbrt (/ (sqrt (- 1.0 (cos x))) (sin x)))) (cbrt (/ (sqrt (- 1.0 (cos x))) (sin x))) (* (* (/ (sqrt (- 1.0 (cos x))) (sin x)) (/ (sqrt (- 1.0 (cos x))) (sin x))) (/ (sqrt (- 1.0 (cos x))) (sin x))) (sqrt (/ (sqrt (- 1.0 (cos x))) (sin x))) (sqrt (/ (sqrt (- 1.0 (cos x))) (sin x))) (- (sqrt (- 1.0 (cos x)))) (- (sin x)) (/ (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sin x))) (/ (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (sqrt (sin x))) (/ (cbrt (sqrt (- 1.0 (cos x)))) (sqrt (sin x))) (/ (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) 1) (/ (cbrt (sqrt (- 1.0 (cos x)))) (sin x)) (/ (sqrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (cbrt (- 1.0 (cos x)))) (cbrt (sin x))) (/ (sqrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (sqrt (sin x))) (/ (sqrt (cbrt (- 1.0 (cos x)))) (sqrt (sin x))) (/ (sqrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) 1) (/ (sqrt (cbrt (- 1.0 (cos x)))) (sin x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt (sin x))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt (sin x))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt (sin x))) (/ (sqrt (sqrt (- 1.0 (cos x)))) 1) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sin x)) (/ (sqrt 1) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (sqrt 1) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt 1) 1) (/ (sqrt (- 1.0 (cos x))) (sin x)) (/ (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (cbrt (sin x))) (/ (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) (sqrt (sin x))) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (sqrt (sin x))) (/ (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) 1) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (sin x)) (/ (sqrt 1) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (sqrt 1) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt 1) 1) (/ (sqrt (- 1.0 (cos x))) (sin x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt (sin x))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt (sin x))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt (sin x))) (/ (sqrt (sqrt (- 1.0 (cos x)))) 1) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (- 1.0 (cos x))) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ 1 1) (/ (sqrt (- 1.0 (cos x))) (sin x)) (/ 1 (sin x)) (/ (sin x) (sqrt (- 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) (/ (sin x) (cbrt (sqrt (- 1.0 (cos x))))) (/ (sin x) (sqrt (cbrt (- 1.0 (cos x))))) (/ (sin x) (sqrt (sqrt (- 1.0 (cos x))))) (/ (sin x) (sqrt (- 1.0 (cos x)))) (/ (sin x) (sqrt (- (sqrt 1.0) (sqrt (cos x))))) (/ (sin x) (sqrt (- 1.0 (cos x)))) (/ (sin x) (sqrt (sqrt (- 1.0 (cos x))))) (/ (sin x) (sqrt (- 1.0 (cos x)))) (* (sin x) (sqrt (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))))) (* (sin x) (sqrt (+ 1.0 (cos x)))) (* (/ (sqrt (- 1.0 (cos x))) (sin x)) (sqrt (- 1.0 (cos x)))) (+ (- (log (sqrt (- 1.0 (cos x)))) (log (sin x))) (log (sqrt (- 1.0 (cos x))))) (+ (log (/ (sqrt (- 1.0 (cos x))) (sin x))) (log (sqrt (- 1.0 (cos x))))) (log (* (/ (sqrt (- 1.0 (cos x))) (sin x)) (sqrt (- 1.0 (cos x))))) (exp (* (/ (sqrt (- 1.0 (cos x))) (sin x)) (sqrt (- 1.0 (cos x))))) (* (/ (* (* (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x)))) (sqrt (- 1.0 (cos x)))) (* (* (sin x) (sin x)) (sin x))) (* (* (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x)))) (sqrt (- 1.0 (cos x))))) (* (* (* (/ (sqrt (- 1.0 (cos x))) (sin x)) (/ (sqrt (- 1.0 (cos x))) (sin x))) (/ (sqrt (- 1.0 (cos x))) (sin x))) (* (* (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x)))) (sqrt (- 1.0 (cos x))))) (* (cbrt (* (/ (sqrt (- 1.0 (cos x))) (sin x)) (sqrt (- 1.0 (cos x))))) (cbrt (* (/ (sqrt (- 1.0 (cos x))) (sin x)) (sqrt (- 1.0 (cos x)))))) (cbrt (* (/ (sqrt (- 1.0 (cos x))) (sin x)) (sqrt (- 1.0 (cos x))))) (* (* (* (/ (sqrt (- 1.0 (cos x))) (sin x)) (sqrt (- 1.0 (cos x)))) (* (/ (sqrt (- 1.0 (cos x))) (sin x)) (sqrt (- 1.0 (cos x))))) (* (/ (sqrt (- 1.0 (cos x))) (sin x)) (sqrt (- 1.0 (cos x))))) (sqrt (* (/ (sqrt (- 1.0 (cos x))) (sin x)) (sqrt (- 1.0 (cos x))))) (sqrt (* (/ (sqrt (- 1.0 (cos x))) (sin x)) (sqrt (- 1.0 (cos x))))) (* (sqrt (- 1.0 (cos x))) (sqrt (- (pow 1.0 3) (pow (cos x) 3)))) (* (sin x) (sqrt (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))))) (* (sqrt (- 1.0 (cos x))) (sqrt (- (* 1.0 1.0) (* (cos x) (cos x))))) (* (sin x) (sqrt (+ 1.0 (cos x)))) (* (sqrt (/ (sqrt (- 1.0 (cos x))) (sin x))) (sqrt (sqrt (- 1.0 (cos x))))) (* (sqrt (/ (sqrt (- 1.0 (cos x))) (sin x))) (sqrt (sqrt (- 1.0 (cos x))))) (* (sqrt (/ (sqrt (- 1.0 (cos x))) (sin x))) (sqrt (sqrt (- 1.0 (cos x))))) (* (sqrt (/ (sqrt (- 1.0 (cos x))) (sin x))) (sqrt (sqrt (- 1.0 (cos x))))) (* (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt (sin x))) (sqrt (sqrt (- 1.0 (cos x))))) (* (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt (sin x))) (sqrt (sqrt (- 1.0 (cos x))))) (* (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt (sin x))) (sqrt (sqrt (- 1.0 (cos x))))) (* (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt (sin x))) (sqrt (sqrt (- 1.0 (cos x))))) (* (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt (sin x))) (sqrt (sqrt (- 1.0 (cos x))))) (* (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt (sin x))) (sqrt (sqrt (- 1.0 (cos x))))) (* (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt (sin x))) (sqrt (sqrt (- 1.0 (cos x))))) (* (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt (sin x))) (sqrt (sqrt (- 1.0 (cos x))))) (* (/ (sqrt (- 1.0 (cos x))) (sin x)) (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x)))))) (* (/ (sqrt (- 1.0 (cos x))) (sin x)) (sqrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (* (/ (sqrt (- 1.0 (cos x))) (sin x)) (sqrt (sqrt (- 1.0 (cos x))))) (* (/ (sqrt (- 1.0 (cos x))) (sin x)) (sqrt 1)) (* (/ (sqrt (- 1.0 (cos x))) (sin x)) (sqrt (+ (sqrt 1.0) (sqrt (cos x))))) (* (/ (sqrt (- 1.0 (cos x))) (sin x)) (sqrt 1)) (* (/ (sqrt (- 1.0 (cos x))) (sin x)) (sqrt (sqrt (- 1.0 (cos x))))) (* (/ (sqrt (- 1.0 (cos x))) (sin x)) 1) (* (cbrt (/ (sqrt (- 1.0 (cos x))) (sin x))) (sqrt (- 1.0 (cos x)))) (* (sqrt (/ (sqrt (- 1.0 (cos x))) (sin x))) (sqrt (- 1.0 (cos x)))) (* (/ (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sin x))) (sqrt (- 1.0 (cos x)))) (* (/ (cbrt (sqrt (- 1.0 (cos x)))) (sqrt (sin x))) (sqrt (- 1.0 (cos x)))) (* (/ (cbrt (sqrt (- 1.0 (cos x)))) (sin x)) (sqrt (- 1.0 (cos x)))) (* (/ (sqrt 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(cos x)))) (* (/ (sqrt (- 1.0 (cos x))) (sin x)) (sqrt (- 1.0 (cos x)))) (* (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt (sin x))) (sqrt (- 1.0 (cos x)))) (* (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt (sin x))) (sqrt (- 1.0 (cos x)))) (* (/ (sqrt (sqrt (- 1.0 (cos x)))) (sin x)) (sqrt (- 1.0 (cos x)))) (* (/ (sqrt (- 1.0 (cos x))) (cbrt (sin x))) (sqrt (- 1.0 (cos x)))) (* (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (sqrt (- 1.0 (cos x)))) (* (/ (sqrt (- 1.0 (cos x))) (sin x)) (sqrt (- 1.0 (cos x)))) (* (/ (sqrt (- 1.0 (cos x))) (sin x)) (sqrt (- 1.0 (cos x)))) (* (/ 1 (sin x)) (sqrt (- 1.0 (cos x)))) (* (/ (sqrt (- 1.0 (cos x))) (sin x)) (sqrt (- (pow 1.0 3) (pow (cos x) 3)))) (* (/ (sqrt (- 1.0 (cos x))) (sin x)) (sqrt (- (* 1.0 1.0) (* (cos x) (cos x))))) (* (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x)))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 7/360 (* (pow x 4) (sqrt 1/2))) (+ (sqrt 1/2) (* 1/6 (* (pow x 2) (sqrt 1/2))))) (+ (* 1/48 (/ (pow x 2) (sqrt 1/2))) (+ (* 1/360 (/ (pow x 4) (sqrt 1/2))) (* 1/4608 (/ (pow x 4) (pow (sqrt 1/2) 3)))))) (* (sqrt (- 1.0 (cos x))) (/ 1 (sin x))) (* (sqrt (- 1.0 (cos x))) (/ 1 (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)) 1.291 * * [simplify]: iteration 0 : 421 enodes (cost 1360 ) 1.298 * * [simplify]: iteration 1 : 1692 enodes (cost 1214 ) 1.327 * * [simplify]: iteration 2 : 5001 enodes (cost 1188 ) 1.337 * [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 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(cbrt (sqrt (- 1.0 (cos x))))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sin x))) (/ (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (sqrt (sin x))) (/ (cbrt (sqrt (- 1.0 (cos x)))) (sqrt (sin x))) (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (/ (cbrt (sqrt (- 1.0 (cos x)))) (sin x)) (/ (/ (fabs (cbrt (- 1.0 (cos x)))) (cbrt (sin x))) (cbrt (sin x))) (/ (sqrt (cbrt (- 1.0 (cos x)))) (cbrt (sin x))) (/ (fabs (cbrt (- 1.0 (cos x)))) (* (sqrt (sin x)) 1)) (/ (sqrt (cbrt (- 1.0 (cos x)))) (sqrt (sin x))) (fabs (cbrt (- 1.0 (cos x)))) (/ (sqrt (cbrt (- 1.0 (cos x)))) (sin x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt (sin x))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt (sin x))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt (sin x))) (sqrt (sqrt (- 1.0 (cos x)))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (- 1.0 (cos x))) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) 1 (/ (sqrt (- 1.0 (cos x))) (sin x)) (/ (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (cbrt (sin x))) (/ (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) (sqrt (sin x))) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (sqrt (sin x))) (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (- 1.0 (cos x))) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) 1 (/ (sqrt (- 1.0 (cos x))) (sin x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt (sin x))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt (sin x))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt (sin x))) (sqrt (sqrt (- 1.0 (cos x)))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (- 1.0 (cos x))) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) 1 (/ (sqrt (- 1.0 (cos x))) (sin x)) (/ 1 (sin x)) (/ (sin x) (sqrt (- 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))) (/ (sin x) (cbrt (sqrt (- 1.0 (cos x))))) (/ (sin x) (sqrt (cbrt (- 1.0 (cos x))))) (/ (sin x) (sqrt (sqrt (- 1.0 (cos x))))) (/ (sin x) (sqrt (- 1.0 (cos x)))) (/ (sin x) (sqrt (- (sqrt 1.0) (sqrt (cos x))))) (/ (sin x) (sqrt (- 1.0 (cos x)))) (/ (sin x) (sqrt (sqrt (- 1.0 (cos x))))) (/ (sin x) (sqrt (- 1.0 (cos x)))) (* (sin x) (sqrt (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))))) (* (sin x) (sqrt (+ 1.0 (cos x)))) (/ (- 1.0 (cos x)) (sin x)) (- (log (- 1.0 (cos x))) (log (sin x))) (- (log (- 1.0 (cos x))) (log (sin x))) (- (log (- 1.0 (cos x))) (log (sin x))) (pow (exp (- 1.0 (cos x))) (/ 1 (sin x))) (pow (/ (- 1.0 (cos x)) (sin x)) 3) (pow (/ (- 1.0 (cos x)) (sin x)) 3) (* (cbrt (* (/ (sqrt (- 1.0 (cos x))) (sin x)) (sqrt (- 1.0 (cos x))))) (cbrt (* (/ (sqrt (- 1.0 (cos x))) (sin x)) (sqrt (- 1.0 (cos x)))))) (cbrt (* (/ (sqrt (- 1.0 (cos x))) (sin x)) (sqrt (- 1.0 (cos x))))) (pow (/ (- 1.0 (cos x)) (sin x)) 3) (sqrt (* (/ (sqrt (- 1.0 (cos x))) (sin x)) (sqrt (- 1.0 (cos x))))) (sqrt (* (/ (sqrt (- 1.0 (cos x))) (sin x)) (sqrt (- 1.0 (cos x))))) (* (sqrt (- 1.0 (cos x))) (sqrt (- (pow 1.0 3) (pow (cos x) 3)))) (* (sin x) (sqrt (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))))) (* (sqrt (- 1.0 (cos x))) (sqrt (- (* 1.0 1.0) (* (cos x) (cos x))))) (* (sin x) (sqrt (+ 1.0 (cos x)))) (* (sqrt (/ (sqrt (- 1.0 (cos x))) (sin x))) (sqrt (sqrt (- 1.0 (cos x))))) (* (sqrt (/ (sqrt (- 1.0 (cos x))) (sin x))) (sqrt (sqrt (- 1.0 (cos x))))) (* (sqrt (/ (sqrt (- 1.0 (cos x))) (sin x))) (sqrt (sqrt (- 1.0 (cos x))))) (* (sqrt (/ (sqrt (- 1.0 (cos x))) (sin x))) (sqrt (sqrt (- 1.0 (cos x))))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 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(cbrt (sqrt (- 1.0 (cos x)))) (sin x)) (sqrt (- 1.0 (cos x)))) (* (/ (sqrt (cbrt (- 1.0 (cos x)))) (cbrt (sin x))) (sqrt (- 1.0 (cos x)))) (* (/ (sqrt (cbrt (- 1.0 (cos x)))) (sqrt (sin x))) (sqrt (- 1.0 (cos x)))) (* (/ (sqrt (cbrt (- 1.0 (cos x)))) (sin x)) (sqrt (- 1.0 (cos x)))) (* (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt (sin x))) (sqrt (- 1.0 (cos x)))) (* (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt (sin x))) (sqrt (- 1.0 (cos x)))) (* (pow (sqrt (sqrt (- 1.0 (cos x)))) 3) (/ 1 (sin x))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ (- 1.0 (cos x)) (sin x)) (* (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (cbrt (sin x))) (sqrt (- 1.0 (cos x)))) (* (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (sqrt (sin x))) (sqrt (- 1.0 (cos x)))) (* (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (sin x)) (sqrt (- 1.0 (cos x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ (- 1.0 (cos x)) (sin x)) (* (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt (sin x))) (sqrt (- 1.0 (cos x)))) (* (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt (sin x))) (sqrt (- 1.0 (cos x)))) (* (pow (sqrt (sqrt (- 1.0 (cos x)))) 3) (/ 1 (sin x))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (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)) (sqrt (- (pow 1.0 3) (pow (cos x) 3)))) (* (/ (sqrt (- 1.0 (cos x))) (sin x)) (sqrt (- (* 1.0 1.0) (* (cos x) (cos x))))) (- 1.0 (cos x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* (sqrt 1/2) (+ (+ (* 7/360 (pow x 4)) 1) (* 1/6 (pow x 2)))) (- (- (* 1/48 (/ (pow x 2) (sqrt 1/2)))) (* (/ (pow x 4) (sqrt 1/2)) 37/11520))) (/ (sqrt (- 1.0 (cos x))) (sin x)) (/ (sqrt (- 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)) 1.338 * * * [progress]: adding candidates to table 1.660 * * [progress]: iteration 4 / 4 1.660 * * * [progress]: picking best candidate 1.692 * * * * [pick]: Picked # 1.692 * * * [progress]: localizing error 1.702 * * * [progress]: generating rewritten candidates 1.702 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 1.705 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.713 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.721 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 1.740 * * * [progress]: generating series expansions 1.740 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 1.740 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.740 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.740 * [taylor]: Taking taylor expansion of 1.0 in x 1.740 * [taylor]: Taking taylor expansion of (cos x) in x 1.740 * [taylor]: Taking taylor expansion of x in x 1.740 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.740 * [taylor]: Taking taylor expansion of 1.0 in x 1.740 * [taylor]: Taking taylor expansion of (cos x) in x 1.740 * [taylor]: Taking taylor expansion of x in x 1.751 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 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 x in x 1.752 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.752 * [taylor]: Taking taylor expansion of 1.0 in x 1.752 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.752 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.752 * [taylor]: Taking taylor expansion of x in x 1.755 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.755 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.755 * [taylor]: Taking taylor expansion of 1.0 in x 1.755 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.755 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.755 * [taylor]: Taking taylor expansion of -1 in x 1.755 * [taylor]: Taking taylor expansion of x in x 1.756 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.756 * [taylor]: Taking taylor expansion of 1.0 in x 1.756 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.756 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.756 * [taylor]: Taking taylor expansion of -1 in x 1.756 * [taylor]: Taking taylor expansion of x in x 1.759 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.759 * [approximate]: Taking taylor expansion of (pow (/ (- 1.0 (cos x)) (sin x)) 3) in (x) around 0 1.759 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (cos x)) (sin x)) 3) in x 1.759 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.759 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.759 * [taylor]: Taking taylor expansion of 1.0 in x 1.759 * [taylor]: Taking taylor expansion of (cos x) in x 1.759 * [taylor]: Taking taylor expansion of x in x 1.759 * [taylor]: Taking taylor expansion of (sin x) in x 1.759 * [taylor]: Taking taylor expansion of x in x 1.762 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (cos x)) (sin x)) 3) in x 1.762 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.762 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.762 * [taylor]: Taking taylor expansion of 1.0 in x 1.762 * [taylor]: Taking taylor expansion of (cos x) in x 1.762 * [taylor]: Taking taylor expansion of x in x 1.762 * [taylor]: Taking taylor expansion of (sin x) in x 1.762 * [taylor]: Taking taylor expansion of x in x 1.787 * [approximate]: Taking taylor expansion of (pow (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 3) in (x) around 0 1.787 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 3) in x 1.787 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.787 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.787 * [taylor]: Taking taylor expansion of 1.0 in x 1.787 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.787 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.787 * [taylor]: Taking taylor expansion of x in x 1.787 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.787 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.787 * [taylor]: Taking taylor expansion of x in x 1.788 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 3) in x 1.788 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.788 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.788 * [taylor]: Taking taylor expansion of 1.0 in x 1.788 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.788 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.788 * [taylor]: Taking taylor expansion of x in x 1.788 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.788 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.788 * [taylor]: Taking taylor expansion of x in x 1.804 * [approximate]: Taking taylor expansion of (pow (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 3) in (x) around 0 1.804 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 3) in x 1.804 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.804 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.804 * [taylor]: Taking taylor expansion of 1.0 in x 1.804 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.804 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.804 * [taylor]: Taking taylor expansion of -1 in x 1.804 * [taylor]: Taking taylor expansion of x in x 1.805 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.805 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.805 * [taylor]: Taking taylor expansion of -1 in x 1.805 * [taylor]: Taking taylor expansion of x in x 1.805 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 3) in x 1.805 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.805 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.805 * [taylor]: Taking taylor expansion of 1.0 in x 1.805 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.805 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.805 * [taylor]: Taking taylor expansion of -1 in x 1.805 * [taylor]: Taking taylor expansion of x in x 1.806 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.806 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.806 * [taylor]: Taking taylor expansion of -1 in x 1.806 * [taylor]: Taking taylor expansion of x in x 1.827 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.828 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 1.828 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.828 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.828 * [taylor]: Taking taylor expansion of 1.0 in x 1.828 * [taylor]: Taking taylor expansion of (cos x) in x 1.828 * [taylor]: Taking taylor expansion of x in x 1.828 * [taylor]: Taking taylor expansion of (sin x) in x 1.828 * [taylor]: Taking taylor expansion of x in x 1.831 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.831 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.831 * [taylor]: Taking taylor expansion of 1.0 in x 1.831 * [taylor]: Taking taylor expansion of (cos x) in x 1.831 * [taylor]: Taking taylor expansion of x in x 1.831 * [taylor]: Taking taylor expansion of (sin x) in x 1.831 * [taylor]: Taking taylor expansion of x in x 1.849 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 1.849 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.849 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.849 * [taylor]: Taking taylor expansion of 1.0 in x 1.849 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.849 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.849 * [taylor]: Taking taylor expansion of x in x 1.850 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.850 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.850 * [taylor]: Taking taylor expansion of x in x 1.850 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.850 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.850 * [taylor]: Taking taylor expansion of 1.0 in x 1.850 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.850 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.850 * [taylor]: Taking taylor expansion of x in x 1.851 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.851 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.851 * [taylor]: Taking taylor expansion of x in x 1.856 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 1.856 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.856 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.856 * [taylor]: Taking taylor expansion of 1.0 in x 1.856 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.856 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.856 * [taylor]: Taking taylor expansion of -1 in x 1.856 * [taylor]: Taking taylor expansion of x in x 1.857 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.857 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.857 * [taylor]: Taking taylor expansion of -1 in x 1.857 * [taylor]: Taking taylor expansion of x in x 1.857 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.857 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.857 * [taylor]: Taking taylor expansion of 1.0 in x 1.857 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.857 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.857 * [taylor]: Taking taylor expansion of -1 in x 1.857 * [taylor]: Taking taylor expansion of x in x 1.858 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.858 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.858 * [taylor]: Taking taylor expansion of -1 in x 1.858 * [taylor]: Taking taylor expansion of x in x 1.863 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 1.863 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 1.863 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.863 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.863 * [taylor]: Taking taylor expansion of 1.0 in x 1.863 * [taylor]: Taking taylor expansion of (cos x) in x 1.863 * [taylor]: Taking taylor expansion of x in x 1.863 * [taylor]: Taking taylor expansion of (sin x) in x 1.863 * [taylor]: Taking taylor expansion of x in x 1.866 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.866 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.866 * [taylor]: Taking taylor expansion of 1.0 in x 1.866 * [taylor]: Taking taylor expansion of (cos x) in x 1.866 * [taylor]: Taking taylor expansion of x in x 1.866 * [taylor]: Taking taylor expansion of (sin x) in x 1.867 * [taylor]: Taking taylor expansion of x in x 1.885 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 1.885 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.885 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.885 * [taylor]: Taking taylor expansion of 1.0 in x 1.885 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.885 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.885 * [taylor]: Taking taylor expansion of x in x 1.885 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.885 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.885 * [taylor]: Taking taylor expansion of x in x 1.886 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.886 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.886 * [taylor]: Taking taylor expansion of 1.0 in x 1.886 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.886 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.886 * [taylor]: Taking taylor expansion of x in x 1.886 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.886 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.886 * [taylor]: Taking taylor expansion of x in x 1.891 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 1.892 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.892 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.892 * [taylor]: Taking taylor expansion of 1.0 in x 1.892 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.892 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.892 * [taylor]: Taking taylor expansion of -1 in x 1.892 * [taylor]: Taking taylor expansion of x in x 1.892 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.892 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.892 * [taylor]: Taking taylor expansion of -1 in x 1.892 * [taylor]: Taking taylor expansion of x in x 1.893 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.893 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.893 * [taylor]: Taking taylor expansion of 1.0 in x 1.893 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.893 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.893 * [taylor]: Taking taylor expansion of -1 in x 1.893 * [taylor]: Taking taylor expansion of x in x 1.893 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.893 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.893 * [taylor]: Taking taylor expansion of -1 in x 1.893 * [taylor]: Taking taylor expansion of x in x 1.898 * * * [progress]: simplifying candidates 1.901 * [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))) 3) (* (log (/ (- 1.0 (cos x)) (sin x))) 3) (* (log (/ (- 1.0 (cos x)) (sin x))) 3) (* 1 3) (pow (/ (- 1.0 (cos x)) (sin x)) (* (cbrt 3) (cbrt 3))) (pow (/ (- 1.0 (cos x)) (sin x)) (sqrt 3)) (pow (/ (- 1.0 (cos x)) (sin x)) 1) (pow (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x)))) 3) (pow (cbrt (/ (- 1.0 (cos x)) (sin x))) 3) (pow (sqrt (/ (- 1.0 (cos x)) (sin x))) 3) (pow (sqrt (/ (- 1.0 (cos x)) (sin x))) 3) (pow (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) 3) (pow (/ (cbrt (- 1.0 (cos x))) (cbrt (sin x))) 3) (pow (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (sin x))) 3) (pow (/ (cbrt (- 1.0 (cos x))) (sqrt (sin x))) 3) (pow (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1) 3) (pow (/ (cbrt (- 1.0 (cos x))) (sin x)) 3) (pow (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) 3) (pow (/ (sqrt (- 1.0 (cos x))) (cbrt (sin x))) 3) (pow (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) 3) (pow (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) 3) (pow (/ (sqrt (- 1.0 (cos x))) 1) 3) (pow (/ (sqrt (- 1.0 (cos x))) (sin x)) 3) (pow (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) 3) (pow (/ (- 1.0 (cos x)) (cbrt (sin x))) 3) (pow (/ 1 (sqrt (sin x))) 3) (pow (/ (- 1.0 (cos x)) (sqrt (sin x))) 3) (pow (/ 1 1) 3) (pow (/ (- 1.0 (cos x)) (sin x)) 3) (pow (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) 3) (pow (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt (sin x))) 3) (pow (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) 3) (pow (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) 3) (pow (/ (+ (sqrt 1.0) (sqrt (cos x))) 1) 3) (pow (/ (- (sqrt 1.0) (sqrt (cos x))) (sin x)) 3) (pow (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) 3) (pow (/ (- 1.0 (cos x)) (cbrt (sin x))) 3) (pow (/ 1 (sqrt (sin x))) 3) (pow (/ (- 1.0 (cos x)) (sqrt (sin x))) 3) (pow (/ 1 1) 3) (pow (/ (- 1.0 (cos x)) (sin x)) 3) (pow 1 3) (pow (/ (- 1.0 (cos x)) (sin x)) 3) (pow (- 1.0 (cos x)) 3) (pow (/ 1 (sin x)) 3) (* (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x))) (log (pow (/ (- 1.0 (cos x)) (sin x)) 3)) (exp (pow (/ (- 1.0 (cos x)) (sin x)) 3)) (* (cbrt (pow (/ (- 1.0 (cos x)) (sin x)) 3)) (cbrt (pow (/ (- 1.0 (cos x)) (sin x)) 3))) (cbrt (pow (/ (- 1.0 (cos x)) (sin x)) 3)) (* (* (pow (/ (- 1.0 (cos x)) (sin x)) 3) (pow (/ (- 1.0 (cos x)) (sin x)) 3)) (pow (/ (- 1.0 (cos x)) (sin x)) 3)) (pow (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x)))) 3) (pow (cbrt (/ (- 1.0 (cos x)) (sin x))) 3) (pow (sqrt (/ (- 1.0 (cos x)) (sin x))) 3) (pow (sqrt (/ (- 1.0 (cos x)) (sin x))) 3) (pow (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) 3) (pow (/ (cbrt (- 1.0 (cos x))) (cbrt (sin x))) 3) (pow (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (sin x))) 3) (pow (/ (cbrt (- 1.0 (cos x))) (sqrt (sin x))) 3) (pow (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1) 3) (pow (/ (cbrt (- 1.0 (cos x))) (sin x)) 3) (pow (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) 3) (pow (/ (sqrt (- 1.0 (cos x))) (cbrt (sin x))) 3) (pow (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) 3) (pow (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) 3) (pow (/ (sqrt (- 1.0 (cos x))) 1) 3) (pow (/ (sqrt (- 1.0 (cos x))) (sin x)) 3) (pow (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) 3) (pow (/ (- 1.0 (cos x)) (cbrt (sin x))) 3) (pow (/ 1 (sqrt (sin x))) 3) (pow (/ (- 1.0 (cos x)) (sqrt (sin x))) 3) (pow (/ 1 1) 3) (pow (/ (- 1.0 (cos x)) (sin x)) 3) (pow (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) 3) (pow (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt (sin x))) 3) (pow (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) 3) (pow (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) 3) (pow (/ (+ (sqrt 1.0) (sqrt (cos x))) 1) 3) (pow (/ (- (sqrt 1.0) (sqrt (cos x))) (sin x)) 3) (pow (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) 3) (pow (/ (- 1.0 (cos x)) (cbrt (sin x))) 3) (pow (/ 1 (sqrt (sin x))) 3) (pow (/ (- 1.0 (cos x)) (sqrt (sin x))) 3) (pow (/ 1 1) 3) (pow (/ (- 1.0 (cos x)) (sin x)) 3) (pow 1 3) (pow (/ (- 1.0 (cos x)) (sin x)) 3) (pow (- 1.0 (cos x)) 3) (pow (/ 1 (sin x)) 3) (pow (- 1.0 (cos x)) 3) (pow (sin x) 3) (* (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x))) (sqrt (pow (/ (- 1.0 (cos x)) (sin x)) 3)) (sqrt (pow (/ (- 1.0 (cos x)) (sin x)) 3)) (pow (/ (- 1.0 (cos x)) (sin x)) (/ 3 2)) (pow (/ (- 1.0 (cos x)) (sin x)) (/ 3 2)) (log (cbrt (pow (/ (- 1.0 (cos x)) (sin x)) 3))) (exp (cbrt (pow (/ (- 1.0 (cos x)) (sin x)) 3))) (cbrt (pow (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x)))) 3)) (cbrt (pow (cbrt (/ (- 1.0 (cos x)) (sin x))) 3)) (cbrt (pow (sqrt (/ (- 1.0 (cos x)) (sin x))) 3)) (cbrt (pow (sqrt (/ (- 1.0 (cos x)) (sin x))) 3)) (cbrt (pow (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) 3)) (cbrt (pow (/ (cbrt (- 1.0 (cos x))) (cbrt (sin x))) 3)) (cbrt (pow (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (sin x))) 3)) (cbrt (pow (/ (cbrt (- 1.0 (cos x))) (sqrt (sin x))) 3)) (cbrt (pow (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1) 3)) (cbrt (pow (/ (cbrt (- 1.0 (cos x))) (sin x)) 3)) (cbrt (pow (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) 3)) (cbrt (pow (/ (sqrt (- 1.0 (cos x))) (cbrt (sin x))) 3)) (cbrt (pow (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) 3)) (cbrt (pow (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) 3)) (cbrt (pow (/ (sqrt (- 1.0 (cos x))) 1) 3)) (cbrt (pow (/ (sqrt (- 1.0 (cos x))) (sin x)) 3)) (cbrt (pow (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) 3)) (cbrt (pow (/ (- 1.0 (cos x)) (cbrt (sin x))) 3)) (cbrt (pow (/ 1 (sqrt (sin x))) 3)) (cbrt (pow (/ (- 1.0 (cos x)) (sqrt (sin x))) 3)) (cbrt (pow (/ 1 1) 3)) (cbrt (pow (/ (- 1.0 (cos x)) (sin x)) 3)) (cbrt (pow (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) 3)) (cbrt (pow (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt (sin x))) 3)) (cbrt (pow (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) 3)) (cbrt (pow (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) 3)) (cbrt (pow (/ (+ (sqrt 1.0) (sqrt (cos x))) 1) 3)) (cbrt (pow (/ (- (sqrt 1.0) (sqrt (cos x))) (sin x)) 3)) (cbrt (pow (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) 3)) (cbrt (pow (/ (- 1.0 (cos x)) (cbrt (sin x))) 3)) (cbrt (pow (/ 1 (sqrt (sin x))) 3)) (cbrt (pow (/ (- 1.0 (cos x)) (sqrt (sin x))) 3)) (cbrt (pow (/ 1 1) 3)) (cbrt (pow (/ (- 1.0 (cos x)) (sin x)) 3)) (cbrt (pow 1 3)) (cbrt (pow (/ (- 1.0 (cos x)) (sin x)) 3)) (cbrt (pow (- 1.0 (cos x)) 3)) (cbrt (pow (/ 1 (sin x)) 3)) (cbrt (* (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)))) (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (* (cbrt (pow (/ (- 1.0 (cos x)) (sin x)) 3)) (cbrt (pow (/ (- 1.0 (cos x)) (sin x)) 3)))) (cbrt (cbrt (pow (/ (- 1.0 (cos x)) (sin x)) 3))) (cbrt (pow (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x)))) 3)) (cbrt (pow (cbrt (/ (- 1.0 (cos x)) (sin x))) 3)) (cbrt (pow (sqrt (/ (- 1.0 (cos x)) (sin x))) 3)) (cbrt (pow (sqrt (/ (- 1.0 (cos x)) (sin x))) 3)) (cbrt (pow (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) 3)) (cbrt (pow (/ (cbrt (- 1.0 (cos x))) (cbrt (sin x))) 3)) (cbrt (pow (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (sin x))) 3)) (cbrt (pow (/ (cbrt (- 1.0 (cos x))) (sqrt (sin x))) 3)) (cbrt (pow (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1) 3)) (cbrt (pow (/ (cbrt (- 1.0 (cos x))) (sin x)) 3)) (cbrt (pow (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) 3)) (cbrt (pow (/ (sqrt (- 1.0 (cos x))) (cbrt (sin x))) 3)) (cbrt (pow (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) 3)) (cbrt (pow (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) 3)) (cbrt (pow (/ (sqrt (- 1.0 (cos x))) 1) 3)) (cbrt (pow (/ (sqrt (- 1.0 (cos x))) (sin x)) 3)) (cbrt (pow (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) 3)) (cbrt (pow (/ (- 1.0 (cos x)) (cbrt (sin x))) 3)) (cbrt (pow (/ 1 (sqrt (sin x))) 3)) (cbrt (pow (/ (- 1.0 (cos x)) (sqrt (sin x))) 3)) (cbrt (pow (/ 1 1) 3)) (cbrt (pow (/ (- 1.0 (cos x)) (sin x)) 3)) (cbrt (pow (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) 3)) (cbrt (pow (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt (sin x))) 3)) (cbrt (pow (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) 3)) (cbrt (pow (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) 3)) (cbrt (pow (/ (+ (sqrt 1.0) (sqrt (cos x))) 1) 3)) (cbrt (pow (/ (- (sqrt 1.0) (sqrt (cos x))) (sin x)) 3)) (cbrt (pow (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) 3)) (cbrt (pow (/ (- 1.0 (cos x)) (cbrt (sin x))) 3)) (cbrt (pow (/ 1 (sqrt (sin x))) 3)) (cbrt (pow (/ (- 1.0 (cos x)) (sqrt (sin x))) 3)) (cbrt (pow (/ 1 1) 3)) (cbrt (pow (/ (- 1.0 (cos x)) (sin x)) 3)) (cbrt (pow 1 3)) (cbrt (pow (/ (- 1.0 (cos x)) (sin x)) 3)) (cbrt (pow (- 1.0 (cos x)) 3)) (cbrt (pow (/ 1 (sin x)) 3)) (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (* (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)))) (cbrt (sqrt (pow (/ (- 1.0 (cos x)) (sin x)) 3))) (cbrt (sqrt (pow (/ (- 1.0 (cos x)) (sin x)) 3))) (cbrt 1) (cbrt (pow (/ (- 1.0 (cos x)) (sin x)) 3)) (cbrt (pow (/ 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x))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 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)) 1.914 * * [simplify]: iteration 0 : 531 enodes (cost 1510 ) 1.924 * * [simplify]: iteration 1 : 2278 enodes (cost 1417 ) 1.960 * * [simplify]: iteration 2 : 5002 enodes (cost 1401 ) 1.967 * [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 (pow (/ (- 1.0 (cos x)) (sin x)) 3)) (log (pow (/ (- 1.0 (cos x)) (sin x)) 3)) (log (pow (/ (- 1.0 (cos x)) (sin x)) 3)) 3 (pow (/ (- 1.0 (cos x)) (sin x)) (* (cbrt 3) 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(pow x 7)) (+ (* 1/8 (pow x 3)) (* 1/32 (pow x 5)))) (pow (/ (- 1.0 (cos x)) (sin x)) 3) (pow (/ (- 1.0 (cos x)) (sin x)) 3) (+ (* 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)) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) 1.968 * * * [progress]: adding candidates to table 2.255 * [progress]: [Phase 3 of 3] Extracting. 2.255 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # #) 2.257 * * * [regime-changes]: Trying 2 branch expressions: ((/ (- 1.0 (cos x)) (sin x)) x) 2.257 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (sin x)) from (# # # # # # # # # # # # #) 2.320 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # # #) 2.380 * * * [regime]: Found split indices: #