9.068 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.117 * * * [progress]: [2/2] Setting up program. 0.118 * [progress]: [Phase 2 of 3] Improving. 0.119 * [simplify]: Simplifying using # : (/ (- 1.0 (cos x)) (sin x)) 0.120 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 0.121 * * [simplify]: iteration 1 : 11 enodes (cost 7 ) 0.122 * * [simplify]: iteration 2 : 14 enodes (cost 7 ) 0.123 * * [simplify]: iteration 3 : 16 enodes (cost 7 ) 0.125 * * [simplify]: iteration done : 16 enodes (cost 7 ) 0.125 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (sin x)) 0.125 * * [progress]: iteration 1 / 4 0.125 * * * [progress]: picking best candidate 0.127 * * * * [pick]: Picked # 0.127 * * * [progress]: localizing error 0.134 * * * [progress]: generating rewritten candidates 0.134 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.137 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.147 * * * [progress]: generating series expansions 0.147 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.147 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.147 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.147 * [taylor]: Taking taylor expansion of 1.0 in x 0.147 * [taylor]: Taking taylor expansion of (cos x) in x 0.147 * [taylor]: Taking taylor expansion of x in x 0.147 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.147 * [taylor]: Taking taylor expansion of 1.0 in x 0.147 * [taylor]: Taking taylor expansion of (cos x) in x 0.147 * [taylor]: Taking taylor expansion of x in x 0.157 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.157 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.157 * [taylor]: Taking taylor expansion of 1.0 in x 0.157 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.157 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.157 * [taylor]: Taking taylor expansion of x in x 0.158 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.158 * [taylor]: Taking taylor expansion of 1.0 in x 0.158 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.158 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.158 * [taylor]: Taking taylor expansion of x in x 0.161 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.161 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.161 * [taylor]: Taking taylor expansion of 1.0 in x 0.161 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.161 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.161 * [taylor]: Taking taylor expansion of -1 in x 0.161 * [taylor]: Taking taylor expansion of x in x 0.161 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.162 * [taylor]: Taking taylor expansion of 1.0 in x 0.162 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.162 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.162 * [taylor]: Taking taylor expansion of -1 in x 0.162 * [taylor]: Taking taylor expansion of x in x 0.165 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.165 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 0.165 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.165 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.165 * [taylor]: Taking taylor expansion of 1.0 in x 0.165 * [taylor]: Taking taylor expansion of (cos x) in x 0.165 * [taylor]: Taking taylor expansion of x in x 0.165 * [taylor]: Taking taylor expansion of (sin x) in x 0.165 * [taylor]: Taking taylor expansion of x in x 0.168 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.168 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.168 * [taylor]: Taking taylor expansion of 1.0 in x 0.168 * [taylor]: Taking taylor expansion of (cos x) in x 0.168 * [taylor]: Taking taylor expansion of x in x 0.168 * [taylor]: Taking taylor expansion of (sin x) in x 0.168 * [taylor]: Taking taylor expansion of x in x 0.192 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 0.192 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.192 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.192 * [taylor]: Taking taylor expansion of 1.0 in x 0.192 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.192 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.192 * [taylor]: Taking taylor expansion of x in x 0.192 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.192 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.192 * [taylor]: Taking taylor expansion of x in x 0.193 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.193 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.193 * [taylor]: Taking taylor expansion of 1.0 in x 0.193 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.193 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.193 * [taylor]: Taking taylor expansion of x in x 0.193 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.193 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.193 * [taylor]: Taking taylor expansion of x in x 0.198 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 0.198 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.198 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.198 * [taylor]: Taking taylor expansion of 1.0 in x 0.198 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.198 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.198 * [taylor]: Taking taylor expansion of -1 in x 0.198 * [taylor]: Taking taylor expansion of x in x 0.199 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.199 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.199 * [taylor]: Taking taylor expansion of -1 in x 0.199 * [taylor]: Taking taylor expansion of x in x 0.199 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.199 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.199 * [taylor]: Taking taylor expansion of 1.0 in x 0.199 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.199 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.199 * [taylor]: Taking taylor expansion of -1 in x 0.199 * [taylor]: Taking taylor expansion of x in x 0.200 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.200 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.200 * [taylor]: Taking taylor expansion of -1 in x 0.200 * [taylor]: Taking taylor expansion of x in x 0.205 * * * [progress]: simplifying candidates 0.206 * [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)) 0.209 * * [simplify]: iteration 0 : 106 enodes (cost 665 ) 0.226 * * [simplify]: iteration 1 : 235 enodes (cost 645 ) 0.279 * * [simplify]: iteration 2 : 525 enodes (cost 609 ) 0.430 * * [simplify]: iteration 3 : 1299 enodes (cost 609 ) 1.282 * * [simplify]: iteration 4 : 4031 enodes (cost 608 ) 2.190 * * [simplify]: iteration done : 5001 enodes (cost 608 ) 2.190 * [simplify]: Simplified to: (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0)) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt (cos x)) (sqrt 1.0)) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (log (/ (- 1.0 (cos x)) (sin x))) (log (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin x))) (pow (/ (- 1.0 (cos x)) (sin x)) 3) (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x)))) (cbrt (/ (- 1.0 (cos x)) (sin x))) (pow (/ (- 1.0 (cos x)) (sin x)) 3) (sqrt (/ (- 1.0 (cos x)) (sin x))) (sqrt (/ (- 1.0 (cos x)) (sin x))) (- (cos x) 1.0) (- (sin x)) (/ 1.0 (sin x)) (/ (cos x) (sin x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (sin x))) (/ (cbrt (- 1.0 (cos x))) (sqrt (sin x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (/ (cbrt (- 1.0 (cos x))) (sin x)) (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) 1 (/ (- 1.0 (cos x)) (sin x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (+ (sqrt (cos x)) (sqrt 1.0)) (/ (- (sqrt 1.0) (sqrt (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) 1 (/ (- 1.0 (cos x)) (sin x)) (/ 1 (sin x)) (/ (sin x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (- 1.0 (cos x)) (/ (sin x) (cbrt (- 1.0 (cos x)))) (/ (sin x) (sqrt (- 1.0 (cos x)))) (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (sin x) (- 1.0 (cos x))) (* (sin x) (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0))) (* (sin x) (+ 1.0 (cos x))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) 2.191 * * * [progress]: adding candidates to table 2.317 * * [progress]: iteration 2 / 4 2.317 * * * [progress]: picking best candidate 2.348 * * * * [pick]: Picked # 2.348 * * * [progress]: localizing error 2.359 * * * [progress]: generating rewritten candidates 2.359 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 2.362 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 2.379 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 2.391 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 2.404 * * * [progress]: generating series expansions 2.404 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 2.404 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 2.404 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.404 * [taylor]: Taking taylor expansion of 1.0 in x 2.404 * [taylor]: Taking taylor expansion of (cos x) in x 2.404 * [taylor]: Taking taylor expansion of x in x 2.404 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.404 * [taylor]: Taking taylor expansion of 1.0 in x 2.404 * [taylor]: Taking taylor expansion of (cos x) in x 2.404 * [taylor]: Taking taylor expansion of x in x 2.414 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 2.414 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.415 * [taylor]: Taking taylor expansion of 1.0 in x 2.415 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.415 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.415 * [taylor]: Taking taylor expansion of x in x 2.415 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.415 * [taylor]: Taking taylor expansion of 1.0 in x 2.415 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.415 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.415 * [taylor]: Taking taylor expansion of x in x 2.418 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 2.418 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.419 * [taylor]: Taking taylor expansion of 1.0 in x 2.419 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.419 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.419 * [taylor]: Taking taylor expansion of -1 in x 2.419 * [taylor]: Taking taylor expansion of x in x 2.419 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.419 * [taylor]: Taking taylor expansion of 1.0 in x 2.419 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.419 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.419 * [taylor]: Taking taylor expansion of -1 in x 2.419 * [taylor]: Taking taylor expansion of x in x 2.422 * * * * [progress]: [ 2 / 4 ] generating series at (2) 2.422 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 2.422 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 2.423 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.423 * [taylor]: Taking taylor expansion of 1.0 in x 2.423 * [taylor]: Taking taylor expansion of (cos x) in x 2.423 * [taylor]: Taking taylor expansion of x in x 2.423 * [taylor]: Taking taylor expansion of (sin x) in x 2.423 * [taylor]: Taking taylor expansion of x in x 2.425 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 2.426 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.426 * [taylor]: Taking taylor expansion of 1.0 in x 2.426 * [taylor]: Taking taylor expansion of (cos x) in x 2.426 * [taylor]: Taking taylor expansion of x in x 2.426 * [taylor]: Taking taylor expansion of (sin x) in x 2.426 * [taylor]: Taking taylor expansion of x in x 2.443 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 2.443 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 2.443 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.443 * [taylor]: Taking taylor expansion of 1.0 in x 2.443 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.443 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.443 * [taylor]: Taking taylor expansion of x in x 2.443 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.443 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.443 * [taylor]: Taking taylor expansion of x in x 2.444 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 2.444 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.444 * [taylor]: Taking taylor expansion of 1.0 in x 2.444 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.444 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.444 * [taylor]: Taking taylor expansion of x in x 2.444 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.444 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.444 * [taylor]: Taking taylor expansion of x in x 2.450 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 2.450 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 2.450 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.450 * [taylor]: Taking taylor expansion of 1.0 in x 2.450 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.450 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.450 * [taylor]: Taking taylor expansion of -1 in x 2.450 * [taylor]: Taking taylor expansion of x in x 2.450 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.450 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.450 * [taylor]: Taking taylor expansion of -1 in x 2.450 * [taylor]: Taking taylor expansion of x in x 2.451 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 2.451 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.451 * [taylor]: Taking taylor expansion of 1.0 in x 2.451 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.451 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.451 * [taylor]: Taking taylor expansion of -1 in x 2.451 * [taylor]: Taking taylor expansion of x in x 2.451 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.451 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.451 * [taylor]: Taking taylor expansion of -1 in x 2.451 * [taylor]: Taking taylor expansion of x in x 2.457 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 2.457 * [approximate]: Taking taylor expansion of (exp (/ (- 1.0 (cos x)) (sin x))) in (x) around 0 2.457 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos x)) (sin x))) in x 2.457 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 2.457 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.457 * [taylor]: Taking taylor expansion of 1.0 in x 2.457 * [taylor]: Taking taylor expansion of (cos x) in x 2.457 * [taylor]: Taking taylor expansion of x in x 2.457 * [taylor]: Taking taylor expansion of (sin x) in x 2.457 * [taylor]: Taking taylor expansion of x in x 2.465 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos x)) (sin x))) in x 2.465 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 2.465 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.465 * [taylor]: Taking taylor expansion of 1.0 in x 2.465 * [taylor]: Taking taylor expansion of (cos x) in x 2.465 * [taylor]: Taking taylor expansion of x in x 2.465 * [taylor]: Taking taylor expansion of (sin x) in x 2.465 * [taylor]: Taking taylor expansion of x in x 2.472 * [approximate]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) in (x) around 0 2.472 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) in x 2.472 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 2.472 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.472 * [taylor]: Taking taylor expansion of 1.0 in x 2.472 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.472 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.472 * [taylor]: Taking taylor expansion of x in x 2.472 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.473 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.473 * [taylor]: Taking taylor expansion of x in x 2.473 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) in x 2.473 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 2.473 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.473 * [taylor]: Taking taylor expansion of 1.0 in x 2.473 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.473 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.473 * [taylor]: Taking taylor expansion of x in x 2.473 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.474 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.474 * [taylor]: Taking taylor expansion of x in x 2.488 * [approximate]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) in (x) around 0 2.488 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) in x 2.488 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 2.488 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.488 * [taylor]: Taking taylor expansion of 1.0 in x 2.488 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.488 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.488 * [taylor]: Taking taylor expansion of -1 in x 2.488 * [taylor]: Taking taylor expansion of x in x 2.488 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.488 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.488 * [taylor]: Taking taylor expansion of -1 in x 2.488 * [taylor]: Taking taylor expansion of x in x 2.489 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) in x 2.489 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 2.489 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.489 * [taylor]: Taking taylor expansion of 1.0 in x 2.489 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.489 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.489 * [taylor]: Taking taylor expansion of -1 in x 2.489 * [taylor]: Taking taylor expansion of x in x 2.489 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.489 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.489 * [taylor]: Taking taylor expansion of -1 in x 2.489 * [taylor]: Taking taylor expansion of x in x 2.503 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 2.503 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 2.503 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 2.503 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.503 * [taylor]: Taking taylor expansion of 1.0 in x 2.503 * [taylor]: Taking taylor expansion of (cos x) in x 2.503 * [taylor]: Taking taylor expansion of x in x 2.504 * [taylor]: Taking taylor expansion of (sin x) in x 2.504 * [taylor]: Taking taylor expansion of x in x 2.506 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 2.506 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.506 * [taylor]: Taking taylor expansion of 1.0 in x 2.506 * [taylor]: Taking taylor expansion of (cos x) in x 2.506 * [taylor]: Taking taylor expansion of x in x 2.506 * [taylor]: Taking taylor expansion of (sin x) in x 2.506 * [taylor]: Taking taylor expansion of x in x 2.523 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 2.524 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 2.524 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.524 * [taylor]: Taking taylor expansion of 1.0 in x 2.524 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.524 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.524 * [taylor]: Taking taylor expansion of x in x 2.524 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.524 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.524 * [taylor]: Taking taylor expansion of x in x 2.524 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 2.524 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.524 * [taylor]: Taking taylor expansion of 1.0 in x 2.524 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.524 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.524 * [taylor]: Taking taylor expansion of x in x 2.525 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.525 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.525 * [taylor]: Taking taylor expansion of x in x 2.530 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 2.530 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 2.530 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.530 * [taylor]: Taking taylor expansion of 1.0 in x 2.530 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.530 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.530 * [taylor]: Taking taylor expansion of -1 in x 2.530 * [taylor]: Taking taylor expansion of x in x 2.531 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.531 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.531 * [taylor]: Taking taylor expansion of -1 in x 2.531 * [taylor]: Taking taylor expansion of x in x 2.531 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 2.531 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.531 * [taylor]: Taking taylor expansion of 1.0 in x 2.531 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.531 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.531 * [taylor]: Taking taylor expansion of -1 in x 2.531 * [taylor]: Taking taylor expansion of x in x 2.531 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.532 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.532 * [taylor]: Taking taylor expansion of -1 in x 2.532 * [taylor]: Taking taylor expansion of x in x 2.537 * * * [progress]: simplifying candidates 2.539 * [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)) 2.548 * * [simplify]: iteration 0 : 163 enodes (cost 1406 ) 2.572 * * [simplify]: iteration 1 : 305 enodes (cost 1293 ) 2.631 * * [simplify]: iteration 2 : 633 enodes (cost 1220 ) 2.821 * * [simplify]: iteration 3 : 1531 enodes (cost 1218 ) 3.775 * * [simplify]: iteration 4 : 4655 enodes (cost 1217 ) 4.581 * * [simplify]: iteration done : 5000 enodes (cost 1217 ) 4.588 * [simplify]: Simplified to: (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0)) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt (cos x)) (sqrt 1.0)) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (* 2 (log (cbrt (exp (/ (- 1.0 (cos x)) (sin x)))))) (log (cbrt (exp (/ (- 1.0 (cos x)) (sin x))))) (log (sqrt (exp (/ (- 1.0 (cos x)) (sin x))))) (log (sqrt (exp (/ (- 1.0 (cos x)) (sin x))))) 0 (/ (- 1.0 (cos x)) (sin x)) (/ 1.0 (sin x)) (/ (cos x) (sin x)) (/ (- 1.0 (cos x)) (sin x)) (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x)))) (sqrt (/ (- 1.0 (cos x)) (sin x))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (sin x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (/ (/ (sqrt (- 1.0 (cos x))) (cbrt (sin x))) (cbrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (sqrt (- 1.0 (cos x))) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1 (sqrt (sin x))) 1 (/ (+ (sqrt (cos x)) (sqrt 1.0)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (+ (sqrt (cos x)) (sqrt 1.0)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1 (sqrt (sin x))) 1 1 (- 1.0 (cos x)) (log (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin x))) (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x)))) (cbrt (/ (- 1.0 (cos x)) (sin x))) (pow (/ (- 1.0 (cos x)) (sin x)) 3) (sqrt (/ (- 1.0 (cos x)) (sin x))) (sqrt (/ (- 1.0 (cos x)) (sin x))) (exp (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x))))) (exp (sqrt (/ (- 1.0 (cos x)) (sin x)))) (exp (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (sin x)))) (exp (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (exp (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x)))) (exp (sqrt (- 1.0 (cos x)))) (exp (/ 1 (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ 1 (sqrt (sin x)))) E (exp (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x)))) (exp (+ (sqrt (cos x)) (sqrt 1.0))) (exp (/ 1 (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ 1 (sqrt (sin x)))) E E (exp (- 1.0 (cos x))) (exp (/ 1.0 (sin x))) (exp (/ (cos x) (sin x))) (/ (- 1.0 (cos x)) (sin x)) (exp (exp (/ (- 1.0 (cos x)) (sin x)))) (* (cbrt (exp (/ (- 1.0 (cos x)) (sin x)))) (cbrt (exp (/ (- 1.0 (cos x)) (sin x))))) (cbrt (exp (/ (- 1.0 (cos x)) (sin x)))) (pow (exp (/ (- 1.0 (cos x)) (sin x))) 3) (sqrt (exp (/ (- 1.0 (cos x)) (sin x)))) (sqrt (exp (/ (- 1.0 (cos x)) (sin x)))) (log (/ (- 1.0 (cos x)) (sin x))) (log (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin x))) (pow (/ (- 1.0 (cos x)) (sin x)) 3) (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x)))) (cbrt (/ (- 1.0 (cos x)) (sin x))) (pow (/ (- 1.0 (cos x)) (sin x)) 3) (sqrt (/ (- 1.0 (cos x)) (sin x))) (sqrt (/ (- 1.0 (cos x)) (sin x))) (- (cos x) 1.0) (- (sin x)) (/ 1.0 (sin x)) (/ (cos x) (sin x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (sin x))) (/ (cbrt (- 1.0 (cos x))) (sqrt (sin x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (/ (cbrt (- 1.0 (cos x))) (sin x)) (/ (/ (sqrt (- 1.0 (cos x))) (cbrt (sin x))) (cbrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) 1 (/ (- 1.0 (cos x)) (sin x)) (/ (+ (sqrt (cos x)) (sqrt 1.0)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (+ (sqrt (cos x)) (sqrt 1.0)) (/ (- (sqrt 1.0) (sqrt (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) 1 (/ (- 1.0 (cos x)) (sin x)) (/ 1 (sin x)) (/ (sin x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (- 1.0 (cos x)) (/ (sin x) (cbrt (- 1.0 (cos x)))) (/ (sin x) (sqrt (- 1.0 (cos x)))) (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (sin x) (- 1.0 (cos x))) (* (sin x) (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0))) (* (sin x) (+ 1.0 (cos x))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) (+ (* x (+ 1/2 (* 1/8 x))) 1) (exp (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin x))) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) 4.589 * * * [progress]: adding candidates to table 4.860 * * [progress]: iteration 3 / 4 4.860 * * * [progress]: picking best candidate 4.894 * * * * [pick]: Picked # 4.894 * * * [progress]: localizing error 4.903 * * * [progress]: generating rewritten candidates 4.903 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 4.905 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 4.926 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 4.931 * * * [progress]: generating series expansions 4.931 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 4.932 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 4.932 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.932 * [taylor]: Taking taylor expansion of 1.0 in x 4.932 * [taylor]: Taking taylor expansion of (cos x) in x 4.932 * [taylor]: Taking taylor expansion of x in x 4.932 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.932 * [taylor]: Taking taylor expansion of 1.0 in x 4.932 * [taylor]: Taking taylor expansion of (cos x) in x 4.932 * [taylor]: Taking taylor expansion of x in x 4.943 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 4.943 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.943 * [taylor]: Taking taylor expansion of 1.0 in x 4.943 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.943 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.943 * [taylor]: Taking taylor expansion of x in x 4.943 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.943 * [taylor]: Taking taylor expansion of 1.0 in x 4.943 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.943 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.943 * [taylor]: Taking taylor expansion of x in x 4.946 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 4.946 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.946 * [taylor]: Taking taylor expansion of 1.0 in x 4.947 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.947 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.947 * [taylor]: Taking taylor expansion of -1 in x 4.947 * [taylor]: Taking taylor expansion of x in x 4.947 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.947 * [taylor]: Taking taylor expansion of 1.0 in x 4.947 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.947 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.947 * [taylor]: Taking taylor expansion of -1 in x 4.947 * [taylor]: Taking taylor expansion of x in x 4.950 * * * * [progress]: [ 2 / 3 ] generating series at (2) 4.950 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 4.950 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 4.950 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.950 * [taylor]: Taking taylor expansion of 1.0 in x 4.950 * [taylor]: Taking taylor expansion of (cos x) in x 4.950 * [taylor]: Taking taylor expansion of x in x 4.950 * [taylor]: Taking taylor expansion of (sin x) in x 4.950 * [taylor]: Taking taylor expansion of x in x 4.953 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 4.953 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.953 * [taylor]: Taking taylor expansion of 1.0 in x 4.953 * [taylor]: Taking taylor expansion of (cos x) in x 4.953 * [taylor]: Taking taylor expansion of x in x 4.953 * [taylor]: Taking taylor expansion of (sin x) in x 4.953 * [taylor]: Taking taylor expansion of x in x 4.971 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 4.971 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 4.971 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.971 * [taylor]: Taking taylor expansion of 1.0 in x 4.971 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.971 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.971 * [taylor]: Taking taylor expansion of x in x 4.971 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 4.971 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.971 * [taylor]: Taking taylor expansion of x in x 4.972 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 4.972 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.972 * [taylor]: Taking taylor expansion of 1.0 in x 4.972 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.972 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.972 * [taylor]: Taking taylor expansion of x in x 4.972 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 4.972 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.972 * [taylor]: Taking taylor expansion of x in x 4.977 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 4.977 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 4.977 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.977 * [taylor]: Taking taylor expansion of 1.0 in x 4.977 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.977 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.977 * [taylor]: Taking taylor expansion of -1 in x 4.977 * [taylor]: Taking taylor expansion of x in x 4.978 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 4.978 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.978 * [taylor]: Taking taylor expansion of -1 in x 4.978 * [taylor]: Taking taylor expansion of x in x 4.979 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 4.979 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.979 * [taylor]: Taking taylor expansion of 1.0 in x 4.979 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.979 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.979 * [taylor]: Taking taylor expansion of -1 in x 4.979 * [taylor]: Taking taylor expansion of x in x 4.979 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 4.979 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.979 * [taylor]: Taking taylor expansion of -1 in x 4.979 * [taylor]: Taking taylor expansion of x in x 4.984 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 4.984 * [approximate]: Taking taylor expansion of (/ 1 (sin x)) in (x) around 0 4.984 * [taylor]: Taking taylor expansion of (/ 1 (sin x)) in x 4.984 * [taylor]: Taking taylor expansion of (sin x) in x 4.984 * [taylor]: Taking taylor expansion of x in x 4.985 * [taylor]: Taking taylor expansion of (/ 1 (sin x)) in x 4.985 * [taylor]: Taking taylor expansion of (sin x) in x 4.985 * [taylor]: Taking taylor expansion of x in x 4.997 * [approximate]: Taking taylor expansion of (/ 1 (sin (/ 1 x))) in (x) around 0 4.997 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ 1 x))) in x 4.997 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 4.997 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.997 * [taylor]: Taking taylor expansion of x in x 4.998 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ 1 x))) in x 4.998 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 4.998 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.998 * [taylor]: Taking taylor expansion of x in x 4.999 * [approximate]: Taking taylor expansion of (/ 1 (sin (/ -1 x))) in (x) around 0 4.999 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ -1 x))) in x 4.999 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 4.999 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.999 * [taylor]: Taking taylor expansion of -1 in x 4.999 * [taylor]: Taking taylor expansion of x in x 5.000 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ -1 x))) in x 5.000 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 5.000 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.000 * [taylor]: Taking taylor expansion of -1 in x 5.000 * [taylor]: Taking taylor expansion of x in x 5.002 * * * [progress]: simplifying candidates 5.003 * [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)) (* (/ 1 (sin x)) (- 1.0 (cos x))) (+ (- (log (sin x))) (log (- 1.0 (cos x)))) (+ (- 0 (log (sin x))) (log (- 1.0 (cos x)))) (+ (- (log 1) (log (sin x))) (log (- 1.0 (cos x)))) (+ (log (/ 1 (sin x))) (log (- 1.0 (cos x)))) (log (* (/ 1 (sin x)) (- 1.0 (cos x)))) (exp (* (/ 1 (sin x)) (- 1.0 (cos x)))) (* (/ (* (* 1 1) 1) (* (* (sin x) (sin x)) (sin x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x)))) (* (* (* (/ 1 (sin x)) (/ 1 (sin x))) (/ 1 (sin x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x)))) (* (cbrt (* (/ 1 (sin x)) (- 1.0 (cos x)))) (cbrt (* (/ 1 (sin x)) (- 1.0 (cos x))))) (cbrt (* (/ 1 (sin x)) (- 1.0 (cos x)))) (* (* (* (/ 1 (sin x)) (- 1.0 (cos x))) (* (/ 1 (sin x)) (- 1.0 (cos x)))) (* (/ 1 (sin x)) (- 1.0 (cos x)))) (sqrt (* (/ 1 (sin x)) (- 1.0 (cos x)))) (sqrt (* (/ 1 (sin x)) (- 1.0 (cos x)))) (* 1 (- (pow 1.0 3) (pow (cos x) 3))) (* (sin x) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (* 1 (- (* 1.0 1.0) (* (cos x) (cos x)))) (* (sin x) (+ 1.0 (cos x))) (* (sqrt (/ 1 (sin x))) (sqrt (- 1.0 (cos x)))) (* (sqrt (/ 1 (sin x))) (sqrt (- 1.0 (cos x)))) (* (/ (sqrt 1) (sqrt (sin x))) (sqrt (- 1.0 (cos x)))) (* (/ (sqrt 1) (sqrt (sin x))) (sqrt (- 1.0 (cos x)))) (* (/ 1 (sqrt (sin x))) (sqrt (- 1.0 (cos x)))) (* (/ 1 (sqrt (sin x))) (sqrt (- 1.0 (cos x)))) (* (/ 1 (sin x)) 1.0) (* (/ 1 (sin x)) (- (cos x))) (* (/ 1 (sin x)) 1.0) (* (/ 1 (sin x)) (- (cos x))) (* 1.0 (/ 1 (sin x))) (* (- (cos x)) (/ 1 (sin x))) (* 1.0 (/ 1 (sin x))) (* (- (cos x)) (/ 1 (sin x))) (* (/ 1 (sin x)) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (* (/ 1 (sin x)) (sqrt (- 1.0 (cos x)))) (* (/ 1 (sin x)) 1) (* (/ 1 (sin x)) (+ (sqrt 1.0) (sqrt (cos x)))) (* (/ 1 (sin x)) 1) (* (cbrt (/ 1 (sin x))) (- 1.0 (cos x))) (* (sqrt (/ 1 (sin x))) (- 1.0 (cos x))) (* (/ (cbrt 1) (cbrt (sin x))) (- 1.0 (cos x))) (* (/ (cbrt 1) (sqrt (sin x))) (- 1.0 (cos x))) (* (/ (cbrt 1) (sin x)) (- 1.0 (cos x))) (* (/ (sqrt 1) (cbrt (sin x))) (- 1.0 (cos x))) (* (/ (sqrt 1) (sqrt (sin x))) (- 1.0 (cos x))) (* (/ (sqrt 1) (sin x)) (- 1.0 (cos x))) (* (/ 1 (cbrt (sin x))) (- 1.0 (cos x))) (* (/ 1 (sqrt (sin x))) (- 1.0 (cos x))) (* (/ 1 (sin x)) (- 1.0 (cos x))) (* (/ 1 (sin x)) (- 1.0 (cos x))) (* (/ 1 (sin x)) (- 1.0 (cos x))) (* (/ 1 (sin x)) (- (pow 1.0 3) (pow (cos x) 3))) (* (/ 1 (sin x)) (- (* 1.0 1.0) (* (cos x) (cos x)))) (* 1 (- 1.0 (cos x))) (- 1) (- (log (sin x))) (- 0 (log (sin x))) (- (log 1) (log (sin x))) (log (/ 1 (sin x))) (exp (/ 1 (sin x))) (/ (* (* 1 1) 1) (* (* (sin x) (sin x)) (sin x))) (* (cbrt (/ 1 (sin x))) (cbrt (/ 1 (sin x)))) (cbrt (/ 1 (sin x))) (* (* (/ 1 (sin x)) (/ 1 (sin x))) (/ 1 (sin x))) (sqrt (/ 1 (sin x))) (sqrt (/ 1 (sin x))) (- 1) (- (sin x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt 1) (cbrt (sin x))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sin x))) (/ (cbrt 1) (sqrt (sin x))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (sin x)) (/ (sqrt 1) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt 1) (cbrt (sin x))) (/ (sqrt 1) (sqrt (sin x))) (/ (sqrt 1) (sqrt (sin x))) (/ (sqrt 1) 1) (/ (sqrt 1) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1 (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ 1 (sqrt (sin x))) (/ 1 1) (/ 1 (sin x)) (/ 1 (sin x)) (/ (sin x) 1) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1 (sqrt (sin x))) (/ 1 1) (/ (sin x) (cbrt 1)) (/ (sin x) (sqrt 1)) (/ (sin x) 1) (- (+ (* 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)) (+ (* 7/360 (pow x 3)) (+ (/ 1 x) (* 1/6 x))) (/ 1 (sin x)) (/ 1 (sin x)) 5.007 * * [simplify]: iteration 0 : 150 enodes (cost 1020 ) 5.044 * * [simplify]: iteration 1 : 351 enodes (cost 878 ) 5.127 * * [simplify]: iteration 2 : 873 enodes (cost 782 ) 5.563 * * [simplify]: iteration 3 : 2151 enodes (cost 782 ) 6.503 * * [simplify]: iteration done : 5001 enodes (cost 782 ) 6.503 * [simplify]: Simplified to: (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0)) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (/ (- 1.0 (cos x)) (sin x)) (log (/ (- 1.0 (cos x)) (sin x))) (log (/ (- 1.0 (cos x)) (sin x))) (log (/ (- 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) (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))) (- (pow 1.0 3) (pow (cos x) 3)) (* (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0)) (sin x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (* (sin x) (+ 1.0 (cos x))) (* (sqrt (/ 1 (sin x))) (sqrt (- 1.0 (cos x)))) (* (sqrt (/ 1 (sin x))) (sqrt (- 1.0 (cos x)))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ 1.0 (sin x)) (- (/ (cos x) (sin x))) (/ 1.0 (sin x)) (- (/ (cos x) (sin x))) (/ 1.0 (sin x)) (- (/ (cos x) (sin x))) (/ 1.0 (sin x)) (- (/ (cos x) (sin x))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sin x)) (/ (sqrt (- 1.0 (cos x))) (sin x)) (/ 1 (sin x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sin x)) (/ 1 (sin x)) (* (cbrt (/ 1 (sin x))) (- 1.0 (cos x))) (* (sqrt (/ 1 (sin x))) (- 1.0 (cos 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)) (cbrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ (- 1.0 (cos x)) (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)) (/ (- 1.0 (cos x)) (sin x)) (/ (- (pow 1.0 3) (pow (cos x) 3)) (sin x)) (/ (- (* 1.0 1.0) (* (cos x) (cos x))) (sin x)) (- 1.0 (cos x)) -1 (- (log (sin x))) (- (log (sin x))) (- (log (sin x))) (- (log (sin x))) (exp (/ 1 (sin x))) (pow (/ 1 (sin x)) 3) (* (cbrt (/ 1 (sin x))) (cbrt (/ 1 (sin x)))) (cbrt (/ 1 (sin x))) (pow (/ 1 (sin x)) 3) (sqrt (/ 1 (sin x))) (sqrt (/ 1 (sin x))) -1 (- (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1 (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ 1 (sqrt (sin x))) 1 (/ 1 (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1 (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ 1 (sqrt (sin x))) 1 (/ 1 (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1 (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ 1 (sqrt (sin x))) 1 (/ 1 (sin x)) (/ 1 (sin x)) (sin x) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1 (sqrt (sin x))) 1 (sin x) (sin x) (sin x) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) (+ (* 7/360 (pow x 3)) (+ (/ 1 x) (* 1/6 x))) (/ 1 (sin x)) (/ 1 (sin x)) 6.504 * * * [progress]: adding candidates to table 6.660 * * [progress]: iteration 4 / 4 6.660 * * * [progress]: picking best candidate 6.702 * * * * [pick]: Picked # 6.702 * * * [progress]: localizing error 6.717 * * * [progress]: generating rewritten candidates 6.717 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 6.734 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2) 6.737 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 6.738 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 6.797 * * * [progress]: generating series expansions 6.797 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 6.798 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in (x) around 0 6.798 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in x 6.798 * [taylor]: Taking taylor expansion of 1.0 in x 6.798 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 6.798 * [taylor]: Taking taylor expansion of (cos x) in x 6.798 * [taylor]: Taking taylor expansion of x in x 6.798 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in x 6.798 * [taylor]: Taking taylor expansion of 1.0 in x 6.798 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 6.798 * [taylor]: Taking taylor expansion of (cos x) in x 6.798 * [taylor]: Taking taylor expansion of x in x 6.818 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in (x) around 0 6.818 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in x 6.818 * [taylor]: Taking taylor expansion of 1.0 in x 6.818 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 6.818 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.818 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.818 * [taylor]: Taking taylor expansion of x in x 6.819 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in x 6.819 * [taylor]: Taking taylor expansion of 1.0 in x 6.819 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 6.819 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.819 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.819 * [taylor]: Taking taylor expansion of x in x 6.831 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in (x) around 0 6.831 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in x 6.831 * [taylor]: Taking taylor expansion of 1.0 in x 6.831 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 6.831 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.831 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.831 * [taylor]: Taking taylor expansion of -1 in x 6.831 * [taylor]: Taking taylor expansion of x in x 6.832 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in x 6.832 * [taylor]: Taking taylor expansion of 1.0 in x 6.832 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 6.832 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.832 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.832 * [taylor]: Taking taylor expansion of -1 in x 6.832 * [taylor]: Taking taylor expansion of x in x 6.844 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2) 6.844 * [approximate]: Taking taylor expansion of (+ (cos x) 1.0) in (x) around 0 6.844 * [taylor]: Taking taylor expansion of (+ (cos x) 1.0) in x 6.844 * [taylor]: Taking taylor expansion of (cos x) in x 6.844 * [taylor]: Taking taylor expansion of x in x 6.844 * [taylor]: Taking taylor expansion of 1.0 in x 6.844 * [taylor]: Taking taylor expansion of (+ (cos x) 1.0) in x 6.844 * [taylor]: Taking taylor expansion of (cos x) in x 6.844 * [taylor]: Taking taylor expansion of x in x 6.844 * [taylor]: Taking taylor expansion of 1.0 in x 6.848 * [approximate]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in (x) around 0 6.848 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 6.848 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.848 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.848 * [taylor]: Taking taylor expansion of x in x 6.849 * [taylor]: Taking taylor expansion of 1.0 in x 6.849 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 6.849 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.849 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.849 * [taylor]: Taking taylor expansion of x in x 6.854 * [taylor]: Taking taylor expansion of 1.0 in x 6.855 * [approximate]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in (x) around 0 6.855 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in x 6.855 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.856 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.856 * [taylor]: Taking taylor expansion of -1 in x 6.856 * [taylor]: Taking taylor expansion of x in x 6.856 * [taylor]: Taking taylor expansion of 1.0 in x 6.856 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in x 6.856 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.856 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.856 * [taylor]: Taking taylor expansion of -1 in x 6.856 * [taylor]: Taking taylor expansion of x in x 6.856 * [taylor]: Taking taylor expansion of 1.0 in x 6.858 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 6.858 * [approximate]: Taking taylor expansion of (pow (cos x) 3) in (x) around 0 6.858 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 6.858 * [taylor]: Taking taylor expansion of (cos x) in x 6.858 * [taylor]: Taking taylor expansion of x in x 6.858 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 6.858 * [taylor]: Taking taylor expansion of (cos x) in x 6.858 * [taylor]: Taking taylor expansion of x in x 6.866 * [approximate]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in (x) around 0 6.866 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 6.867 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.867 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.867 * [taylor]: Taking taylor expansion of x in x 6.867 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 6.867 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.867 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.867 * [taylor]: Taking taylor expansion of x in x 6.876 * [approximate]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in (x) around 0 6.876 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 6.876 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.876 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.876 * [taylor]: Taking taylor expansion of -1 in x 6.876 * [taylor]: Taking taylor expansion of x in x 6.876 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 6.876 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.876 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.876 * [taylor]: Taking taylor expansion of -1 in x 6.876 * [taylor]: Taking taylor expansion of x in x 6.885 * * * * [progress]: [ 4 / 4 ] generating series at (2) 6.886 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (cos x) 3)) (* (sin x) (+ 1.0 (+ (pow (cos x) 2) (* 1.0 (cos x)))))) in (x) around 0 6.886 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (cos x) 3)) (* (sin x) (+ 1.0 (+ (pow (cos x) 2) (* 1.0 (cos x)))))) in x 6.886 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in x 6.886 * [taylor]: Taking taylor expansion of 1.0 in x 6.886 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 6.886 * [taylor]: Taking taylor expansion of (cos x) in x 6.886 * [taylor]: Taking taylor expansion of x in x 6.886 * [taylor]: Taking taylor expansion of (* (sin x) (+ 1.0 (+ (pow (cos x) 2) (* 1.0 (cos x))))) in x 6.886 * [taylor]: Taking taylor expansion of (sin x) in x 6.886 * [taylor]: Taking taylor expansion of x in x 6.886 * [taylor]: Taking taylor expansion of (+ 1.0 (+ (pow (cos x) 2) (* 1.0 (cos x)))) in x 6.886 * [taylor]: Taking taylor expansion of 1.0 in x 6.886 * [taylor]: Taking taylor expansion of (+ (pow (cos x) 2) (* 1.0 (cos x))) in x 6.886 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 6.886 * [taylor]: Taking taylor expansion of (cos x) in x 6.886 * [taylor]: Taking taylor expansion of x in x 6.886 * [taylor]: Taking taylor expansion of (* 1.0 (cos x)) in x 6.886 * [taylor]: Taking taylor expansion of 1.0 in x 6.886 * [taylor]: Taking taylor expansion of (cos x) in x 6.886 * [taylor]: Taking taylor expansion of x in x 6.895 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (cos x) 3)) (* (sin x) (+ 1.0 (+ (pow (cos x) 2) (* 1.0 (cos x)))))) in x 6.895 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in x 6.895 * [taylor]: Taking taylor expansion of 1.0 in x 6.895 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 6.895 * [taylor]: Taking taylor expansion of (cos x) in x 6.895 * [taylor]: Taking taylor expansion of x in x 6.895 * [taylor]: Taking taylor expansion of (* (sin x) (+ 1.0 (+ (pow (cos x) 2) (* 1.0 (cos x))))) in x 6.895 * [taylor]: Taking taylor expansion of (sin x) in x 6.895 * [taylor]: Taking taylor expansion of x in x 6.895 * [taylor]: Taking taylor expansion of (+ 1.0 (+ (pow (cos x) 2) (* 1.0 (cos x)))) in x 6.895 * [taylor]: Taking taylor expansion of 1.0 in x 6.895 * [taylor]: Taking taylor expansion of (+ (pow (cos x) 2) (* 1.0 (cos x))) in x 6.895 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 6.895 * [taylor]: Taking taylor expansion of (cos x) in x 6.895 * [taylor]: Taking taylor expansion of x in x 6.895 * [taylor]: Taking taylor expansion of (* 1.0 (cos x)) in x 6.895 * [taylor]: Taking taylor expansion of 1.0 in x 6.895 * [taylor]: Taking taylor expansion of (cos x) in x 6.895 * [taylor]: Taking taylor expansion of x in x 6.964 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (cos (/ 1 x)) 3)) (* (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0)) (sin (/ 1 x)))) in (x) around 0 6.964 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (cos (/ 1 x)) 3)) (* (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0)) (sin (/ 1 x)))) in x 6.964 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in x 6.964 * [taylor]: Taking taylor expansion of 1.0 in x 6.965 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 6.965 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.965 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.965 * [taylor]: Taking taylor expansion of x in x 6.965 * [taylor]: Taking taylor expansion of (* (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0)) (sin (/ 1 x))) in x 6.965 * [taylor]: Taking taylor expansion of (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0)) in x 6.965 * [taylor]: Taking taylor expansion of (* 1.0 (cos (/ 1 x))) in x 6.965 * [taylor]: Taking taylor expansion of 1.0 in x 6.965 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.965 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.965 * [taylor]: Taking taylor expansion of x in x 6.965 * [taylor]: Taking taylor expansion of (+ (pow (cos (/ 1 x)) 2) 1.0) in x 6.965 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 6.965 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.965 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.965 * [taylor]: Taking taylor expansion of x in x 6.966 * [taylor]: Taking taylor expansion of 1.0 in x 6.966 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 6.966 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.966 * [taylor]: Taking taylor expansion of x in x 6.967 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (cos (/ 1 x)) 3)) (* (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0)) (sin (/ 1 x)))) in x 6.967 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in x 6.967 * [taylor]: Taking taylor expansion of 1.0 in x 6.967 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 6.967 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.967 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.967 * [taylor]: Taking taylor expansion of x in x 6.968 * [taylor]: Taking taylor expansion of (* (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0)) (sin (/ 1 x))) in x 6.968 * [taylor]: Taking taylor expansion of (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0)) in x 6.968 * [taylor]: Taking taylor expansion of (* 1.0 (cos (/ 1 x))) in x 6.968 * [taylor]: Taking taylor expansion of 1.0 in x 6.968 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.968 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.968 * [taylor]: Taking taylor expansion of x in x 6.968 * [taylor]: Taking taylor expansion of (+ (pow (cos (/ 1 x)) 2) 1.0) in x 6.968 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 6.968 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.968 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.968 * [taylor]: Taking taylor expansion of x in x 6.969 * [taylor]: Taking taylor expansion of 1.0 in x 6.969 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 6.969 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.969 * [taylor]: Taking taylor expansion of x in x 7.007 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (cos (/ -1 x)) 3)) (* (sin (/ -1 x)) (+ (* 1.0 (cos (/ -1 x))) (+ (pow (cos (/ -1 x)) 2) 1.0)))) in (x) around 0 7.007 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (cos (/ -1 x)) 3)) (* (sin (/ -1 x)) (+ (* 1.0 (cos (/ -1 x))) (+ (pow (cos (/ -1 x)) 2) 1.0)))) in x 7.007 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in x 7.007 * [taylor]: Taking taylor expansion of 1.0 in x 7.007 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 7.007 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 7.007 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.007 * [taylor]: Taking taylor expansion of -1 in x 7.007 * [taylor]: Taking taylor expansion of x in x 7.007 * [taylor]: Taking taylor expansion of (* (sin (/ -1 x)) (+ (* 1.0 (cos (/ -1 x))) (+ (pow (cos (/ -1 x)) 2) 1.0))) in x 7.007 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 7.007 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.007 * [taylor]: Taking taylor expansion of -1 in x 7.007 * [taylor]: Taking taylor expansion of x in x 7.008 * [taylor]: Taking taylor expansion of (+ (* 1.0 (cos (/ -1 x))) (+ (pow (cos (/ -1 x)) 2) 1.0)) in x 7.008 * [taylor]: Taking taylor expansion of (* 1.0 (cos (/ -1 x))) in x 7.008 * [taylor]: Taking taylor expansion of 1.0 in x 7.008 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 7.008 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.008 * [taylor]: Taking taylor expansion of -1 in x 7.008 * [taylor]: Taking taylor expansion of x in x 7.008 * [taylor]: Taking taylor expansion of (+ (pow (cos (/ -1 x)) 2) 1.0) in x 7.008 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 7.008 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 7.008 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.008 * [taylor]: Taking taylor expansion of -1 in x 7.008 * [taylor]: Taking taylor expansion of x in x 7.008 * [taylor]: Taking taylor expansion of 1.0 in x 7.010 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (cos (/ -1 x)) 3)) (* (sin (/ -1 x)) (+ (* 1.0 (cos (/ -1 x))) (+ (pow (cos (/ -1 x)) 2) 1.0)))) in x 7.010 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in x 7.010 * [taylor]: Taking taylor expansion of 1.0 in x 7.010 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 7.010 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 7.010 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.010 * [taylor]: Taking taylor expansion of -1 in x 7.010 * [taylor]: Taking taylor expansion of x in x 7.010 * [taylor]: Taking taylor expansion of (* (sin (/ -1 x)) (+ (* 1.0 (cos (/ -1 x))) (+ (pow (cos (/ -1 x)) 2) 1.0))) in x 7.010 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 7.010 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.010 * [taylor]: Taking taylor expansion of -1 in x 7.010 * [taylor]: Taking taylor expansion of x in x 7.010 * [taylor]: Taking taylor expansion of (+ (* 1.0 (cos (/ -1 x))) (+ (pow (cos (/ -1 x)) 2) 1.0)) in x 7.011 * [taylor]: Taking taylor expansion of (* 1.0 (cos (/ -1 x))) in x 7.011 * [taylor]: Taking taylor expansion of 1.0 in x 7.011 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 7.011 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.011 * [taylor]: Taking taylor expansion of -1 in x 7.011 * [taylor]: Taking taylor expansion of x in x 7.011 * [taylor]: Taking taylor expansion of (+ (pow (cos (/ -1 x)) 2) 1.0) in x 7.011 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 7.011 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 7.011 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.011 * [taylor]: Taking taylor expansion of -1 in x 7.011 * [taylor]: Taking taylor expansion of x in x 7.012 * [taylor]: Taking taylor expansion of 1.0 in x 7.053 * * * [progress]: simplifying candidates 7.056 * [simplify]: Simplifying using # : (/ (exp (pow 1.0 3)) (exp (pow (cos x) 3))) (log (- (pow 1.0 3) (pow (cos x) 3))) (exp (- (pow 1.0 3) (pow (cos x) 3))) (* (cbrt (- (pow 1.0 3) (pow (cos x) 3))) (cbrt (- (pow 1.0 3) (pow (cos x) 3)))) (cbrt (- (pow 1.0 3) (pow (cos x) 3))) (* (* (- (pow 1.0 3) (pow (cos x) 3)) (- (pow 1.0 3) (pow (cos x) 3))) (- (pow 1.0 3) (pow (cos x) 3))) (sqrt (- (pow 1.0 3) (pow (cos x) 3))) (sqrt (- (pow 1.0 3) (pow (cos x) 3))) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- 1.0 (cos x)) (- (pow (pow 1.0 3) 3) (pow (pow (cos x) 3) 3)) (+ (* (pow 1.0 3) (pow 1.0 3)) (+ (* (pow (cos x) 3) (pow (cos x) 3)) (* (pow 1.0 3) (pow (cos x) 3)))) (- (pow (cos x) 3)) (- (* (pow 1.0 3) (pow 1.0 3)) (* (pow (cos x) 3) (pow (cos x) 3))) (+ (pow 1.0 3) (pow (cos x) 3)) (+ (pow (sqrt 1.0) 3) (pow (sqrt (cos x)) 3)) (- (pow (sqrt 1.0) 3) (pow (sqrt (cos x)) 3)) (+ (pow (sqrt 1.0) 3) (pow (sqrt (cos x)) 3)) (- (pow (sqrt 1.0) 3) (pow (sqrt (cos x)) 3)) (+ (pow (sqrt 1.0) 3) (sqrt (pow (cos x) 3))) (- (pow (sqrt 1.0) 3) (sqrt (pow (cos x) 3))) (+ (pow (sqrt 1.0) 3) (pow (cos x) (/ 3 2))) (- (pow (sqrt 1.0) 3) (pow (cos x) (/ 3 2))) (+ (pow (sqrt 1.0) 3) (pow (sqrt (cos x)) 3)) (- (pow (sqrt 1.0) 3) (pow (sqrt (cos x)) 3)) (+ (pow (sqrt 1.0) 3) (pow (sqrt (cos x)) 3)) (- (pow (sqrt 1.0) 3) (pow (sqrt (cos x)) 3)) (+ (pow (sqrt 1.0) 3) (sqrt (pow (cos x) 3))) (- (pow (sqrt 1.0) 3) (sqrt (pow (cos x) 3))) (+ (pow (sqrt 1.0) 3) (pow (cos x) (/ 3 2))) (- (pow (sqrt 1.0) 3) (pow (cos x) (/ 3 2))) (+ (sqrt (pow 1.0 3)) (pow (sqrt (cos x)) 3)) (- (sqrt (pow 1.0 3)) (pow (sqrt (cos x)) 3)) (+ (sqrt (pow 1.0 3)) (pow (sqrt (cos x)) 3)) (- (sqrt (pow 1.0 3)) (pow (sqrt (cos x)) 3)) (+ (sqrt (pow 1.0 3)) (sqrt (pow (cos x) 3))) (- (sqrt (pow 1.0 3)) (sqrt (pow (cos x) 3))) (+ (sqrt (pow 1.0 3)) (pow (cos x) (/ 3 2))) (- (sqrt (pow 1.0 3)) (pow (cos x) (/ 3 2))) (+ (pow 1.0 (/ 3 2)) (pow (sqrt (cos x)) 3)) (- (pow 1.0 (/ 3 2)) (pow (sqrt (cos x)) 3)) (+ (pow 1.0 (/ 3 2)) (pow (sqrt (cos x)) 3)) (- (pow 1.0 (/ 3 2)) (pow (sqrt (cos x)) 3)) (+ (pow 1.0 (/ 3 2)) (sqrt (pow (cos x) 3))) (- (pow 1.0 (/ 3 2)) (sqrt (pow (cos x) 3))) (+ (pow 1.0 (/ 3 2)) (pow (cos x) (/ 3 2))) (- (pow 1.0 (/ 3 2)) (pow (cos x) (/ 3 2))) (- (pow 1.0 3) (pow (cos x) 3)) (- (pow 1.0 3) (pow (cos x) 3)) (- (pow 1.0 3) (pow (cos x) 3)) (- (pow 1.0 3) (pow (cos x) 3)) (- (pow 1.0 3) (pow (cos x) 3)) (- (pow (cos x) 3)) (* (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)))) (- (* 1.0 1.0) (* (cos x) (cos x))) (- 1.0 (cos x)) (+ 1.0 (cos x)) (* (log (cos x)) 3) (* (log (cos x)) 3) (* 1 3) (pow (cos x) (* (cbrt 3) (cbrt 3))) (pow (cos x) (sqrt 3)) (pow (cos x) 1) (pow (* (cbrt (cos x)) (cbrt (cos x))) 3) (pow (cbrt (cos x)) 3) (pow (sqrt (cos x)) 3) (pow (sqrt (cos x)) 3) (pow 1 3) (pow (cos x) 3) (* (cos x) (cos x)) (log (pow (cos x) 3)) (exp (pow (cos x) 3)) (* (cbrt (pow (cos x) 3)) (cbrt (pow (cos x) 3))) (cbrt (pow (cos x) 3)) (* (* (pow (cos x) 3) (pow (cos x) 3)) (pow (cos x) 3)) (pow (* (cbrt (cos x)) (cbrt (cos x))) 3) (pow (cbrt (cos x)) 3) (pow (sqrt (cos x)) 3) (pow (sqrt (cos x)) 3) (pow 1 3) (pow (cos x) 3) (* (cos x) (cos x)) (sqrt (pow (cos x) 3)) (sqrt (pow (cos x) 3)) (pow (cos x) (/ 3 2)) (pow (cos x) (/ 3 2)) (- (log (- (pow 1.0 3) (pow (cos x) 3))) (+ (log (sin x)) (log (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0))))) (- (log (- (pow 1.0 3) (pow (cos x) 3))) (log (* (sin x) (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0))))) (log (/ (- (pow 1.0 3) (pow (cos x) 3)) (* (sin x) (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0))))) (exp (/ (- (pow 1.0 3) (pow (cos x) 3)) (* (sin x) (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0))))) (/ (* (* (- (pow 1.0 3) (pow (cos x) 3)) (- (pow 1.0 3) (pow (cos x) 3))) (- (pow 1.0 3) (pow (cos x) 3))) (* (* (* (sin x) (sin x)) (sin x)) (* (* (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0)) (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0))) (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0))))) (/ (* (* (- (pow 1.0 3) (pow (cos x) 3)) (- (pow 1.0 3) (pow (cos x) 3))) (- (pow 1.0 3) (pow (cos x) 3))) (* (* (* (sin x) (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0))) (* (sin x) (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0)))) (* (sin x) (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0))))) (* (cbrt (/ (- (pow 1.0 3) (pow (cos x) 3)) (* (sin x) (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0))))) (cbrt (/ (- (pow 1.0 3) (pow (cos x) 3)) (* (sin x) (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0)))))) (cbrt (/ (- (pow 1.0 3) (pow (cos x) 3)) (* (sin x) (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0))))) (* (* (/ (- (pow 1.0 3) (pow (cos x) 3)) (* (sin x) (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0)))) (/ (- (pow 1.0 3) (pow (cos x) 3)) (* (sin x) (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0))))) (/ (- (pow 1.0 3) (pow (cos x) 3)) (* (sin x) (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0))))) (sqrt (/ (- (pow 1.0 3) (pow (cos x) 3)) (* (sin x) (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0))))) (sqrt (/ (- (pow 1.0 3) (pow (cos x) 3)) (* (sin x) (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0))))) (- (- (pow 1.0 3) (pow (cos x) 3))) (- (* (sin x) (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0)))) (/ (pow 1.0 3) (* (sin x) (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0)))) (/ (pow (cos x) 3) (* (sin x) (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0)))) (/ (* (cbrt (- (pow 1.0 3) (pow (cos x) 3))) (cbrt (- (pow 1.0 3) (pow (cos x) 3)))) (sin x)) (/ (cbrt (- (pow 1.0 3) (pow (cos x) 3))) (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0))) (/ (sqrt (- (pow 1.0 3) (pow (cos x) 3))) (sin x)) 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(cos x)) 3))) (/ (* (sin x) (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0))) (- (pow 1.0 3/2) (pow (sqrt (cos x)) 3))) (/ (sin x) (/ (- (pow 1.0 3/2) (sqrt (pow (cos x) 3))) (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0)))) (/ (* (sin x) (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0))) (- (pow 1.0 3/2) (pow (cos x) 3/2))) (/ (* (sin x) (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0))) (- (pow 1.0 3) (pow (cos x) 3))) (/ (* (sin x) (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0))) (- (pow 1.0 3) (pow (cos x) 3))) (/ (* (sin x) (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0))) (- (pow 1.0 3) (pow (cos x) 3))) (/ (* (sin x) (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0))) (- (pow 1.0 3) (pow (cos x) 3))) (/ (* (sin x) (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0))) (- (pow 1.0 3) (pow (cos x) 3))) (/ (- (pow 1.0 3) (pow (cos x) 3)) (* (+ (pow (* (cos x) (+ 1.0 (cos x))) 3) (pow 1.0 6)) (sin x))) (/ (/ (- (pow 1.0 3) (pow (cos x) 3)) (sin x)) (- (* (pow (cos x) 2) (* (+ 1.0 (cos x)) (+ 1.0 (cos x)))) (pow 1.0 4))) (* (+ (* (pow (cos x) 3) (+ (pow 1.0 3) (pow (cos x) 3))) (pow 1.0 6)) (* (sin x) (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0)))) (* (* (sin x) (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0))) (+ (pow 1.0 3) (pow (cos x) 3))) (- (+ (* 3/2 (pow x 2)) (* 61/240 (pow x 6))) (* 7/8 (pow x 4))) (- 1.0 (pow (cos x) 3)) (- 1.0 (pow (cos x) 3)) (- (+ (* 1/24 (pow x 4)) 2.0) (* 1/2 (pow x 2))) (+ 1.0 (cos x)) (+ 1.0 (cos x)) (- (+ (* 7/8 (pow x 4)) 1) (* 3/2 (pow x 2))) (pow (cos x) 3) (pow (cos x) 3) (+ (* 0.04166666666666663 (pow x 3)) (+ (* 0.004166666666666624 (pow x 5)) (* 0.5 x))) (/ (/ (- 1.0 (pow (cos x) 3)) (sin x)) (+ 1.0 (* (cos x) (+ 1.0 (cos x))))) (/ (/ (- 1.0 (pow (cos x) 3)) (sin x)) (+ 1.0 (* (cos x) (+ 1.0 (cos x))))) 7.877 * * * [progress]: adding candidates to table 8.232 * [progress]: [Phase 3 of 3] Extracting. 8.233 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # # # # # # #) 8.238 * * * [regime-changes]: Trying 2 branch expressions: ((/ (- 1.0 (cos x)) (sin x)) x) 8.238 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (sin x)) from (# # # # # # # # # # # # # # # # # # # # #) 8.335 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (sin x)) from (# # #) 8.356 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # # # # # # # # # # #) 8.454 * * * [regime]: Found split indices: #