8.244 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.142 * * * [progress]: [2/2] Setting up program. 0.144 * [progress]: [Phase 2 of 3] Improving. 0.145 * [simplify]: Simplifying using # : (/ (- 1.0 (cos x)) (sin x)) 0.147 * * [simplify]: iteration 0 : 11 enodes (cost 4 ) 0.149 * * [simplify]: iteration 1 : 14 enodes (cost 4 ) 0.150 * * [simplify]: iteration 2 : 16 enodes (cost 4 ) 0.151 * * [simplify]: iteration 3 : 16 enodes (cost 4 ) 0.152 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (sin x)) 0.152 * * [progress]: iteration 1 / 4 0.152 * * * [progress]: picking best candidate 0.154 * * * * [pick]: Picked # 0.154 * * * [progress]: localizing error 0.162 * * * [progress]: generating rewritten candidates 0.162 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.165 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.173 * * * [progress]: generating series expansions 0.173 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.173 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.173 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.173 * [taylor]: Taking taylor expansion of 1.0 in x 0.173 * [taylor]: Taking taylor expansion of (cos x) in x 0.173 * [taylor]: Taking taylor expansion of x in x 0.174 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.174 * [taylor]: Taking taylor expansion of 1.0 in x 0.174 * [taylor]: Taking taylor expansion of (cos x) in x 0.174 * [taylor]: Taking taylor expansion of x in x 0.184 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.184 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.184 * [taylor]: Taking taylor expansion of 1.0 in x 0.184 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.184 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.184 * [taylor]: Taking taylor expansion of x in x 0.185 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.185 * [taylor]: Taking taylor expansion of 1.0 in x 0.185 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.185 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.185 * [taylor]: Taking taylor expansion of x in x 0.188 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.188 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.188 * [taylor]: Taking taylor expansion of 1.0 in x 0.188 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.188 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.188 * [taylor]: Taking taylor expansion of -1 in x 0.188 * [taylor]: Taking taylor expansion of x in x 0.189 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.189 * [taylor]: Taking taylor expansion of 1.0 in x 0.189 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.189 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.189 * [taylor]: Taking taylor expansion of -1 in x 0.189 * [taylor]: Taking taylor expansion of x in x 0.192 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.192 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 0.192 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.192 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.192 * [taylor]: Taking taylor expansion of 1.0 in x 0.192 * [taylor]: Taking taylor expansion of (cos x) in x 0.192 * [taylor]: Taking taylor expansion of x in x 0.192 * [taylor]: Taking taylor expansion of (sin x) in x 0.192 * [taylor]: Taking taylor expansion of x in x 0.201 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.201 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.201 * [taylor]: Taking taylor expansion of 1.0 in x 0.201 * [taylor]: Taking taylor expansion of (cos x) in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.201 * [taylor]: Taking taylor expansion of (sin x) in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.219 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 0.219 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.219 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.219 * [taylor]: Taking taylor expansion of 1.0 in x 0.219 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.219 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.219 * [taylor]: Taking taylor expansion of x in x 0.220 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.220 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.220 * [taylor]: Taking taylor expansion of x in x 0.220 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.220 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.220 * [taylor]: Taking taylor expansion of 1.0 in x 0.220 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.220 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.220 * [taylor]: Taking taylor expansion of x in x 0.221 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.221 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.221 * [taylor]: Taking taylor expansion of x in x 0.226 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 0.226 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.226 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.226 * [taylor]: Taking taylor expansion of 1.0 in x 0.226 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.226 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.226 * [taylor]: Taking taylor expansion of -1 in x 0.226 * [taylor]: Taking taylor expansion of x in x 0.227 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.227 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.227 * [taylor]: Taking taylor expansion of -1 in x 0.227 * [taylor]: Taking taylor expansion of x in x 0.227 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.227 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.227 * [taylor]: Taking taylor expansion of 1.0 in x 0.227 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.227 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.227 * [taylor]: Taking taylor expansion of -1 in x 0.227 * [taylor]: Taking taylor expansion of x in x 0.227 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.227 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.228 * [taylor]: Taking taylor expansion of -1 in x 0.228 * [taylor]: Taking taylor expansion of x in x 0.233 * * * [progress]: simplifying candidates 0.234 * [simplify]: Simplifying using # : (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (neg (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (neg (cos x)) (- (log (- 1.0 (cos x))) (log (sin x))) (log (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin x))) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* (sin x) (sin x)) (sin x))) (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x)))) (cbrt (/ (- 1.0 (cos x)) (sin x))) (* (* (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x))) (/ (- 1.0 (cos x)) (sin x))) (sqrt (/ (- 1.0 (cos x)) (sin x))) (sqrt (/ (- 1.0 (cos x)) (sin x))) (neg (- 1.0 (cos x))) (neg (sin x)) (/ 1.0 (sin x)) (/ (cos x) (sin x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (sin x))) (/ (cbrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1) (/ (cbrt (- 1.0 (cos x))) (sin x)) (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) 1) (/ (sqrt (- 1.0 (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ 1 1) (/ (- 1.0 (cos x)) (sin x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) 1) (/ (- (sqrt 1.0) (sqrt (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ 1 1) (/ (- 1.0 (cos x)) (sin x)) (/ 1 (sin x)) (/ (sin x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ (- 1.0 (cos x)) 1) (/ (sin x) (cbrt (- 1.0 (cos x)))) (/ (sin x) (sqrt (- 1.0 (cos x)))) (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (sin x) (- 1.0 (cos x))) (* (sin x) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (* (sin x) (+ 1.0 (cos x))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) 0.238 * * [simplify]: iteration 0 : 233 enodes (cost 396 ) 0.242 * * [simplify]: iteration 1 : 673 enodes (cost 373 ) 0.255 * * [simplify]: iteration 2 : 2640 enodes (cost 373 ) 0.312 * * [simplify]: iteration 3 : 5002 enodes (cost 373 ) 0.314 * [simplify]: Simplified to: (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (neg (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (neg (cos x)) (log (/ (- 1.0 (cos x)) (sin x))) (log (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin x))) (pow (/ (- 1.0 (cos x)) (sin x)) 3) (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x)))) (cbrt (/ (- 1.0 (cos x)) (sin x))) (pow (/ (- 1.0 (cos x)) (sin x)) 3) (sqrt (/ (- 1.0 (cos x)) (sin x))) (sqrt (/ (- 1.0 (cos x)) (sin x))) (neg (- 1.0 (cos x))) (neg (sin x)) (/ 1.0 (sin x)) (/ (cos x) (sin x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (sin x))) (/ (cbrt (- 1.0 (cos x))) (sqrt (sin x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (/ (cbrt (- 1.0 (cos x))) (sin x)) (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) 1 (/ (- 1.0 (cos x)) (sin x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (+ (sqrt 1.0) (sqrt (cos x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) 1 (/ (- 1.0 (cos x)) (sin x)) (/ 1 (sin x)) (/ (sin x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (- 1.0 (cos x)) (/ (sin x) (cbrt (- 1.0 (cos x)))) (/ (sin x) (sqrt (- 1.0 (cos x)))) (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (sin x) (- 1.0 (cos x))) (* (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (sin x)) (* (sin x) (+ 1.0 (cos x))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) 0.315 * * * [progress]: adding candidates to table 0.435 * * [progress]: iteration 2 / 4 0.435 * * * [progress]: picking best candidate 0.461 * * * * [pick]: Picked # 0.461 * * * [progress]: localizing error 0.471 * * * [progress]: generating rewritten candidates 0.471 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 0.475 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.484 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.490 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.500 * * * [progress]: generating series expansions 0.500 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 0.500 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.501 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.501 * [taylor]: Taking taylor expansion of 1.0 in x 0.501 * [taylor]: Taking taylor expansion of (cos x) in x 0.501 * [taylor]: Taking taylor expansion of x in x 0.501 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.501 * [taylor]: Taking taylor expansion of 1.0 in x 0.501 * [taylor]: Taking taylor expansion of (cos x) in x 0.501 * [taylor]: Taking taylor expansion of x in x 0.511 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.511 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.511 * [taylor]: Taking taylor expansion of 1.0 in x 0.511 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.511 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.511 * [taylor]: Taking taylor expansion of x in x 0.512 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.512 * [taylor]: Taking taylor expansion of 1.0 in x 0.512 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.512 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.512 * [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 -1 in x 0.515 * [taylor]: Taking taylor expansion of x in x 0.516 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.516 * [taylor]: Taking taylor expansion of 1.0 in x 0.516 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.516 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.516 * [taylor]: Taking taylor expansion of -1 in x 0.516 * [taylor]: Taking taylor expansion of x in x 0.519 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.519 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 0.519 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.519 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.519 * [taylor]: Taking taylor expansion of 1.0 in x 0.519 * [taylor]: Taking taylor expansion of (cos x) in x 0.519 * [taylor]: Taking taylor expansion of x in x 0.519 * [taylor]: Taking taylor expansion of (sin x) in x 0.519 * [taylor]: Taking taylor expansion of x in x 0.522 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.522 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.522 * [taylor]: Taking taylor expansion of 1.0 in x 0.522 * [taylor]: Taking taylor expansion of (cos x) in x 0.522 * [taylor]: Taking taylor expansion of x in x 0.522 * [taylor]: Taking taylor expansion of (sin x) in x 0.522 * [taylor]: Taking taylor expansion of x in x 0.539 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 0.540 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.540 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.540 * [taylor]: Taking taylor expansion of 1.0 in x 0.540 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.540 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.540 * [taylor]: Taking taylor expansion of x in x 0.540 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.540 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.540 * [taylor]: Taking taylor expansion of x in x 0.540 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.540 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.541 * [taylor]: Taking taylor expansion of 1.0 in x 0.541 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.541 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.541 * [taylor]: Taking taylor expansion of x in x 0.541 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.541 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.541 * [taylor]: Taking taylor expansion of x in x 0.546 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 0.546 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.546 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.546 * [taylor]: Taking taylor expansion of 1.0 in x 0.546 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.546 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.546 * [taylor]: Taking taylor expansion of -1 in x 0.546 * [taylor]: Taking taylor expansion of x in x 0.547 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.547 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.547 * [taylor]: Taking taylor expansion of -1 in x 0.547 * [taylor]: Taking taylor expansion of x in x 0.547 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.547 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.547 * [taylor]: Taking taylor expansion of 1.0 in x 0.547 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.547 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.547 * [taylor]: Taking taylor expansion of -1 in x 0.547 * [taylor]: Taking taylor expansion of x in x 0.548 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.548 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.548 * [taylor]: Taking taylor expansion of -1 in x 0.548 * [taylor]: Taking taylor expansion of x in x 0.553 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.553 * [approximate]: Taking taylor expansion of (exp (/ (- 1.0 (cos x)) (sin x))) in (x) around 0 0.553 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos x)) (sin x))) in x 0.553 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.553 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.553 * [taylor]: Taking taylor expansion of 1.0 in x 0.553 * [taylor]: Taking taylor expansion of (cos x) in x 0.553 * [taylor]: Taking taylor expansion of x in x 0.553 * [taylor]: Taking taylor expansion of (sin x) in x 0.553 * [taylor]: Taking taylor expansion of x in x 0.556 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos x)) (sin x))) in x 0.556 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.556 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.556 * [taylor]: Taking taylor expansion of 1.0 in x 0.556 * [taylor]: Taking taylor expansion of (cos x) in x 0.556 * [taylor]: Taking taylor expansion of x in x 0.556 * [taylor]: Taking taylor expansion of (sin x) in x 0.556 * [taylor]: Taking taylor expansion of x in x 0.566 * [approximate]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) in (x) around 0 0.566 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) in x 0.566 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.566 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.566 * [taylor]: Taking taylor expansion of 1.0 in x 0.566 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.567 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.567 * [taylor]: Taking taylor expansion of x in x 0.567 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.567 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.567 * [taylor]: Taking taylor expansion of x in x 0.567 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) in x 0.567 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.568 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.568 * [taylor]: Taking taylor expansion of 1.0 in x 0.568 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.568 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.568 * [taylor]: Taking taylor expansion of x in x 0.568 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.568 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.568 * [taylor]: Taking taylor expansion of x in x 0.582 * [approximate]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) in (x) around 0 0.582 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) in x 0.582 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.582 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.582 * [taylor]: Taking taylor expansion of 1.0 in x 0.582 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.582 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.582 * [taylor]: Taking taylor expansion of -1 in x 0.582 * [taylor]: Taking taylor expansion of x in x 0.582 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.582 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.582 * [taylor]: Taking taylor expansion of -1 in x 0.582 * [taylor]: Taking taylor expansion of x in x 0.583 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) in x 0.583 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.583 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.583 * [taylor]: Taking taylor expansion of 1.0 in x 0.583 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.583 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.583 * [taylor]: Taking taylor expansion of -1 in x 0.583 * [taylor]: Taking taylor expansion of x in x 0.583 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.583 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.583 * [taylor]: Taking taylor expansion of -1 in x 0.583 * [taylor]: Taking taylor expansion of x in x 0.597 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 0.597 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 0.597 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.598 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.598 * [taylor]: Taking taylor expansion of 1.0 in x 0.598 * [taylor]: Taking taylor expansion of (cos x) in x 0.598 * [taylor]: Taking taylor expansion of x in x 0.598 * [taylor]: Taking taylor expansion of (sin x) in x 0.598 * [taylor]: Taking taylor expansion of x in x 0.601 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.601 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.601 * [taylor]: Taking taylor expansion of 1.0 in x 0.601 * [taylor]: Taking taylor expansion of (cos x) in x 0.601 * [taylor]: Taking taylor expansion of x in x 0.601 * [taylor]: Taking taylor expansion of (sin x) in x 0.601 * [taylor]: Taking taylor expansion of x in x 0.618 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 0.618 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.618 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.619 * [taylor]: Taking taylor expansion of 1.0 in x 0.619 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.619 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.619 * [taylor]: Taking taylor expansion of x in x 0.619 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.619 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.619 * [taylor]: Taking taylor expansion of x in x 0.619 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.619 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.619 * [taylor]: Taking taylor expansion of 1.0 in x 0.619 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.619 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.620 * [taylor]: Taking taylor expansion of x in x 0.620 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.620 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.620 * [taylor]: Taking taylor expansion of x in x 0.625 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 0.625 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.625 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.625 * [taylor]: Taking taylor expansion of 1.0 in x 0.625 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.625 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.625 * [taylor]: Taking taylor expansion of -1 in x 0.625 * [taylor]: Taking taylor expansion of x in x 0.626 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.626 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.626 * [taylor]: Taking taylor expansion of -1 in x 0.626 * [taylor]: Taking taylor expansion of x in x 0.626 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.626 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.626 * [taylor]: Taking taylor expansion of 1.0 in x 0.626 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.626 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.626 * [taylor]: Taking taylor expansion of -1 in x 0.626 * [taylor]: Taking taylor expansion of x in x 0.627 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.627 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.627 * [taylor]: Taking taylor expansion of -1 in x 0.627 * [taylor]: Taking taylor expansion of x in x 0.632 * * * [progress]: simplifying candidates 0.634 * [simplify]: Simplifying using # : (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (neg (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (neg (cos x)) (log (* (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))) (neg (- 1.0 (cos x))) (neg (sin x)) (/ 1.0 (sin x)) (/ (cos x) (sin x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (sin x))) (/ (cbrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1) (/ (cbrt (- 1.0 (cos x))) (sin x)) (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) 1) (/ (sqrt (- 1.0 (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ 1 1) (/ (- 1.0 (cos x)) (sin x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) 1) (/ (- (sqrt 1.0) (sqrt (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ 1 1) (/ (- 1.0 (cos x)) (sin x)) (/ 1 (sin x)) (/ (sin x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ (- 1.0 (cos x)) 1) (/ (sin x) (cbrt (- 1.0 (cos x)))) (/ (sin x) (sqrt (- 1.0 (cos x)))) (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (sin x) (- 1.0 (cos x))) (* (sin x) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (* (sin x) (+ 1.0 (cos x))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) (+ (* 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)) 0.640 * * [simplify]: iteration 0 : 303 enodes (cost 818 ) 0.645 * * [simplify]: iteration 1 : 799 enodes (cost 768 ) 0.659 * * [simplify]: iteration 2 : 2970 enodes (cost 766 ) 0.719 * * [simplify]: iteration 3 : 5001 enodes (cost 766 ) 0.724 * [simplify]: Simplified to: (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (neg (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (neg (cos x)) (* 2 (log (cbrt (exp (/ (- 1.0 (cos x)) (sin x)))))) (log (cbrt (exp (/ (- 1.0 (cos x)) (sin x))))) (log (sqrt (exp (/ (- 1.0 (cos x)) (sin x))))) (log (sqrt (exp (/ (- 1.0 (cos x)) (sin x))))) 0 (/ (- 1.0 (cos x)) (sin x)) (/ 1.0 (sin x)) (/ (cos x) (sin x)) (/ (- 1.0 (cos x)) (sin x)) (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x)))) (sqrt (/ (- 1.0 (cos x)) (sin x))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (sin x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (sqrt (- 1.0 (cos x))) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1 (sqrt (sin x))) 1 (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (+ (sqrt 1.0) (sqrt (cos x))) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1 (sqrt (sin x))) 1 1 (- 1.0 (cos x)) (log (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin x))) (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x)))) (cbrt (/ (- 1.0 (cos x)) (sin x))) (pow (/ (- 1.0 (cos x)) (sin x)) 3) (sqrt (/ (- 1.0 (cos x)) (sin x))) (sqrt (/ (- 1.0 (cos x)) (sin x))) (exp (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x))))) (exp (sqrt (/ (- 1.0 (cos x)) (sin x)))) (exp (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (sin x)))) (pow (exp (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x)))) (exp (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x)))) (exp (sqrt (- 1.0 (cos x)))) (exp (/ 1 (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ 1 (sqrt (sin x)))) E (exp (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x)))) (exp (+ (sqrt 1.0) (sqrt (cos x)))) (exp (/ 1 (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ 1 (sqrt (sin x)))) E E (exp (- 1.0 (cos x))) (exp (/ 1.0 (sin x))) (exp (/ (cos x) (sin x))) (/ (- 1.0 (cos x)) (sin x)) (exp (exp (/ (- 1.0 (cos x)) (sin x)))) (* (cbrt (exp (/ (- 1.0 (cos x)) (sin x)))) (cbrt (exp (/ (- 1.0 (cos x)) (sin x))))) (cbrt (exp (/ (- 1.0 (cos x)) (sin x)))) (pow (exp (/ (- 1.0 (cos x)) (sin x))) 3) (sqrt (exp (/ (- 1.0 (cos x)) (sin x)))) (sqrt (exp (/ (- 1.0 (cos x)) (sin x)))) (log (/ (- 1.0 (cos x)) (sin x))) (log (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin x))) (pow (/ (- 1.0 (cos x)) (sin x)) 3) (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x)))) (cbrt (/ (- 1.0 (cos x)) (sin x))) (pow (/ (- 1.0 (cos x)) (sin x)) 3) (sqrt (/ (- 1.0 (cos x)) (sin x))) (sqrt (/ (- 1.0 (cos x)) (sin x))) (neg (- 1.0 (cos x))) (neg (sin x)) (/ 1.0 (sin x)) (/ (cos x) (sin x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (sin x))) (/ (cbrt (- 1.0 (cos x))) (sqrt (sin x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (/ (cbrt (- 1.0 (cos x))) (sin x)) (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) 1 (/ (- 1.0 (cos x)) (sin x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (+ (sqrt 1.0) (sqrt (cos x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) 1 (/ (- 1.0 (cos x)) (sin x)) (/ 1 (sin x)) (/ (sin x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (- 1.0 (cos x)) (/ (sin x) (cbrt (- 1.0 (cos x)))) (/ (sin x) (sqrt (- 1.0 (cos x)))) (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (sin x) (- 1.0 (cos x))) (* (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (sin x)) (* (sin x) (+ 1.0 (cos x))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) (+ (* 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)) 0.724 * * * [progress]: adding candidates to table 0.967 * * [progress]: iteration 3 / 4 0.967 * * * [progress]: picking best candidate 0.997 * * * * [pick]: Picked # 0.997 * * * [progress]: localizing error 1.012 * * * [progress]: generating rewritten candidates 1.012 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 1.026 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 2) 1.029 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2) 1.032 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.063 * * * [progress]: generating series expansions 1.063 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 1.064 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in (x) around 0 1.064 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in x 1.064 * [taylor]: Taking taylor expansion of 1.0 in x 1.064 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 1.064 * [taylor]: Taking taylor expansion of (cos x) in x 1.064 * [taylor]: Taking taylor expansion of x in x 1.064 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in x 1.064 * [taylor]: Taking taylor expansion of 1.0 in x 1.064 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 1.064 * [taylor]: Taking taylor expansion of (cos x) in x 1.064 * [taylor]: Taking taylor expansion of x in x 1.084 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in (x) around 0 1.084 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in x 1.084 * [taylor]: Taking taylor expansion of 1.0 in x 1.084 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 1.084 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.084 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.084 * [taylor]: Taking taylor expansion of x in x 1.085 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in x 1.085 * [taylor]: Taking taylor expansion of 1.0 in x 1.085 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 1.085 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.085 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.085 * [taylor]: Taking taylor expansion of x in x 1.102 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in (x) around 0 1.102 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in x 1.102 * [taylor]: Taking taylor expansion of 1.0 in x 1.102 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 1.102 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.102 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.102 * [taylor]: Taking taylor expansion of -1 in x 1.102 * [taylor]: Taking taylor expansion of x in x 1.102 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in x 1.102 * [taylor]: Taking taylor expansion of 1.0 in x 1.102 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 1.102 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.102 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.102 * [taylor]: Taking taylor expansion of -1 in x 1.102 * [taylor]: Taking taylor expansion of x in x 1.114 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 2) 1.114 * [approximate]: Taking taylor expansion of (+ 1.0 (cos x)) in (x) around 0 1.114 * [taylor]: Taking taylor expansion of (+ 1.0 (cos x)) in x 1.114 * [taylor]: Taking taylor expansion of 1.0 in x 1.114 * [taylor]: Taking taylor expansion of (cos x) in x 1.114 * [taylor]: Taking taylor expansion of x in x 1.114 * [taylor]: Taking taylor expansion of (+ 1.0 (cos x)) in x 1.114 * [taylor]: Taking taylor expansion of 1.0 in x 1.114 * [taylor]: Taking taylor expansion of (cos x) in x 1.114 * [taylor]: Taking taylor expansion of x in x 1.119 * [approximate]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in (x) around 0 1.119 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 1.119 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.119 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.119 * [taylor]: Taking taylor expansion of x in x 1.119 * [taylor]: Taking taylor expansion of 1.0 in x 1.119 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 1.119 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.119 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.119 * [taylor]: Taking taylor expansion of x in x 1.120 * [taylor]: Taking taylor expansion of 1.0 in x 1.121 * [approximate]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in (x) around 0 1.121 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in x 1.121 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.121 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.121 * [taylor]: Taking taylor expansion of -1 in x 1.121 * [taylor]: Taking taylor expansion of x in x 1.122 * [taylor]: Taking taylor expansion of 1.0 in x 1.122 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in x 1.122 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.122 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.122 * [taylor]: Taking taylor expansion of -1 in x 1.122 * [taylor]: Taking taylor expansion of x in x 1.122 * [taylor]: Taking taylor expansion of 1.0 in x 1.124 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2) 1.124 * [approximate]: Taking taylor expansion of (pow (cos x) 3) in (x) around 0 1.124 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 1.124 * [taylor]: Taking taylor expansion of (cos x) in x 1.124 * [taylor]: Taking taylor expansion of x in x 1.124 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 1.124 * [taylor]: Taking taylor expansion of (cos x) in x 1.124 * [taylor]: Taking taylor expansion of x in x 1.133 * [approximate]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in (x) around 0 1.133 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 1.133 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.133 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.133 * [taylor]: Taking taylor expansion of x in x 1.133 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 1.133 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.133 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.133 * [taylor]: Taking taylor expansion of x in x 1.142 * [approximate]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in (x) around 0 1.142 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 1.142 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.142 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.142 * [taylor]: Taking taylor expansion of -1 in x 1.142 * [taylor]: Taking taylor expansion of x in x 1.143 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 1.143 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.143 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.143 * [taylor]: Taking taylor expansion of -1 in x 1.143 * [taylor]: Taking taylor expansion of x in x 1.152 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.153 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (cos x) 3)) (+ 1.0 (+ (pow (cos x) 2) (* 1.0 (cos x))))) in (x) around 0 1.153 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (cos x) 3)) (+ 1.0 (+ (pow (cos x) 2) (* 1.0 (cos x))))) in x 1.153 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in x 1.153 * [taylor]: Taking taylor expansion of 1.0 in x 1.153 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 1.153 * [taylor]: Taking taylor expansion of (cos x) in x 1.153 * [taylor]: Taking taylor expansion of x in x 1.153 * [taylor]: Taking taylor expansion of (+ 1.0 (+ (pow (cos x) 2) (* 1.0 (cos x)))) in x 1.153 * [taylor]: Taking taylor expansion of 1.0 in x 1.153 * [taylor]: Taking taylor expansion of (+ (pow (cos x) 2) (* 1.0 (cos x))) in x 1.153 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 1.153 * [taylor]: Taking taylor expansion of (cos x) in x 1.153 * [taylor]: Taking taylor expansion of x in x 1.153 * [taylor]: Taking taylor expansion of (* 1.0 (cos x)) in x 1.153 * [taylor]: Taking taylor expansion of 1.0 in x 1.153 * [taylor]: Taking taylor expansion of (cos x) in x 1.153 * [taylor]: Taking taylor expansion of x in x 1.159 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (cos x) 3)) (+ 1.0 (+ (pow (cos x) 2) (* 1.0 (cos x))))) in x 1.159 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in x 1.159 * [taylor]: Taking taylor expansion of 1.0 in x 1.159 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 1.159 * [taylor]: Taking taylor expansion of (cos x) in x 1.159 * [taylor]: Taking taylor expansion of x in x 1.159 * [taylor]: Taking taylor expansion of (+ 1.0 (+ (pow (cos x) 2) (* 1.0 (cos x)))) in x 1.159 * [taylor]: Taking taylor expansion of 1.0 in x 1.159 * [taylor]: Taking taylor expansion of (+ (pow (cos x) 2) (* 1.0 (cos x))) in x 1.159 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 1.159 * [taylor]: Taking taylor expansion of (cos x) in x 1.159 * [taylor]: Taking taylor expansion of x in x 1.159 * [taylor]: Taking taylor expansion of (* 1.0 (cos x)) in x 1.159 * [taylor]: Taking taylor expansion of 1.0 in x 1.159 * [taylor]: Taking taylor expansion of (cos x) in x 1.159 * [taylor]: Taking taylor expansion of x in x 1.210 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (cos (/ 1 x)) 3)) (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0))) in (x) around 0 1.210 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (cos (/ 1 x)) 3)) (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0))) in x 1.210 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in x 1.210 * [taylor]: Taking taylor expansion of 1.0 in x 1.210 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 1.210 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.211 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.211 * [taylor]: Taking taylor expansion of x in x 1.211 * [taylor]: Taking taylor expansion of (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0)) in x 1.211 * [taylor]: Taking taylor expansion of (* 1.0 (cos (/ 1 x))) in x 1.211 * [taylor]: Taking taylor expansion of 1.0 in x 1.211 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.211 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.211 * [taylor]: Taking taylor expansion of x in x 1.211 * [taylor]: Taking taylor expansion of (+ (pow (cos (/ 1 x)) 2) 1.0) in x 1.211 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 1.211 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.211 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.211 * [taylor]: Taking taylor expansion of x in x 1.212 * [taylor]: Taking taylor expansion of 1.0 in x 1.213 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (cos (/ 1 x)) 3)) (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0))) in x 1.213 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in x 1.213 * [taylor]: Taking taylor expansion of 1.0 in x 1.213 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 1.213 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.213 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.213 * [taylor]: Taking taylor expansion of x in x 1.213 * [taylor]: Taking taylor expansion of (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0)) in x 1.213 * [taylor]: Taking taylor expansion of (* 1.0 (cos (/ 1 x))) in x 1.213 * [taylor]: Taking taylor expansion of 1.0 in x 1.213 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.213 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.213 * [taylor]: Taking taylor expansion of x in x 1.214 * [taylor]: Taking taylor expansion of (+ (pow (cos (/ 1 x)) 2) 1.0) in x 1.214 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 1.214 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.214 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.214 * [taylor]: Taking taylor expansion of x in x 1.214 * [taylor]: Taking taylor expansion of 1.0 in x 1.246 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (cos (/ -1 x)) 3)) (+ (* 1.0 (cos (/ -1 x))) (+ (pow (cos (/ -1 x)) 2) 1.0))) in (x) around 0 1.246 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (cos (/ -1 x)) 3)) (+ (* 1.0 (cos (/ -1 x))) (+ (pow (cos (/ -1 x)) 2) 1.0))) in x 1.246 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in x 1.246 * [taylor]: Taking taylor expansion of 1.0 in x 1.246 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 1.246 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.246 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.246 * [taylor]: Taking taylor expansion of -1 in x 1.246 * [taylor]: Taking taylor expansion of x in x 1.247 * [taylor]: Taking taylor expansion of (+ (* 1.0 (cos (/ -1 x))) (+ (pow (cos (/ -1 x)) 2) 1.0)) in x 1.247 * [taylor]: Taking taylor expansion of (* 1.0 (cos (/ -1 x))) in x 1.247 * [taylor]: Taking taylor expansion of 1.0 in x 1.247 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.247 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.247 * [taylor]: Taking taylor expansion of -1 in x 1.247 * [taylor]: Taking taylor expansion of x in x 1.247 * [taylor]: Taking taylor expansion of (+ (pow (cos (/ -1 x)) 2) 1.0) in x 1.247 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 1.247 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.247 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.247 * [taylor]: Taking taylor expansion of -1 in x 1.247 * [taylor]: Taking taylor expansion of x in x 1.248 * [taylor]: Taking taylor expansion of 1.0 in x 1.249 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (cos (/ -1 x)) 3)) (+ (* 1.0 (cos (/ -1 x))) (+ (pow (cos (/ -1 x)) 2) 1.0))) in x 1.249 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in x 1.249 * [taylor]: Taking taylor expansion of 1.0 in x 1.249 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 1.249 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.249 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.249 * [taylor]: Taking taylor expansion of -1 in x 1.249 * [taylor]: Taking taylor expansion of x in x 1.249 * [taylor]: Taking taylor expansion of (+ (* 1.0 (cos (/ -1 x))) (+ (pow (cos (/ -1 x)) 2) 1.0)) in x 1.249 * [taylor]: Taking taylor expansion of (* 1.0 (cos (/ -1 x))) in x 1.249 * [taylor]: Taking taylor expansion of 1.0 in x 1.249 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.249 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.249 * [taylor]: Taking taylor expansion of -1 in x 1.249 * [taylor]: Taking taylor expansion of x in x 1.250 * [taylor]: Taking taylor expansion of (+ (pow (cos (/ -1 x)) 2) 1.0) in x 1.250 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 1.250 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.250 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.250 * [taylor]: Taking taylor expansion of -1 in x 1.250 * [taylor]: Taking taylor expansion of x in x 1.250 * [taylor]: Taking taylor expansion of 1.0 in x 1.286 * * * [progress]: simplifying candidates 1.289 * [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)))) (neg (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)) (neg (pow (cos x) 3)) (* (exp (cos x)) (exp 1.0)) (log (+ (cos x) 1.0)) (exp (+ (cos x) 1.0)) (* (cbrt (+ (cos x) 1.0)) (cbrt (+ (cos x) 1.0))) (cbrt (+ (cos x) 1.0)) (* (* (+ (cos x) 1.0) (+ (cos x) 1.0)) (+ (cos x) 1.0)) (sqrt (+ (cos x) 1.0)) (sqrt (+ (cos x) 1.0)) (+ (pow (cos x) 3) (pow 1.0 3)) (+ (* (cos x) (cos x)) (- (* 1.0 1.0) 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(cos x) (+ (cos x) 1.0)) (* 1.0 1.0))))) (/ (- (pow 1.0 3/2) (pow (cos x) 3/2)) (cbrt (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)))) (/ (+ (pow 1.0 3/2) (pow (cos x) 3/2)) (sqrt (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)))) (/ (- (pow 1.0 3/2) (pow (cos x) 3/2)) (sqrt (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)))) (+ (pow 1.0 3/2) (pow (cos x) 3/2)) (/ (- (pow 1.0 3/2) (pow (cos x) 3/2)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0))) (/ 1 (* (cbrt (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0))) (cbrt (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0))))) (/ (- (pow 1.0 3) (pow (cos x) 3)) (cbrt (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)))) (/ 1 (sqrt (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)))) (/ (- (pow 1.0 3) (pow (cos x) 3)) (sqrt (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)))) 1 (/ (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0))) (/ 1 (* (cbrt (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0))) (cbrt (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0))))) (/ (- (pow 1.0 3) (pow (cos 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(sqrt (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)))) 1 (/ (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0))) (/ 1 (* (cbrt (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0))) (cbrt (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0))))) (/ (- (pow 1.0 3) (pow (cos x) 3)) (cbrt (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)))) (/ 1 (sqrt (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)))) (/ (- (pow 1.0 3) (pow (cos x) 3)) (sqrt (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)))) 1 (/ (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0))) (/ 1 (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0))) (/ (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (- (pow 1.0 3) (pow (cos x) 3))) (/ (- (pow 1.0 3) (pow (cos x) 3)) (* (cbrt (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0))) (cbrt (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0))))) (/ (- (pow 1.0 3) (pow (cos x) 3)) (sqrt (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)))) (- (pow 1.0 3) (pow (cos x) 3)) (/ (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (cbrt (- (pow 1.0 3) (pow (cos x) 3)))) (/ (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (sqrt (- (pow 1.0 3) (pow (cos x) 3)))) (/ (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (- 1.0 (cos x))) (/ (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (- (pow 1.0 3) (pow (cos x) 3))) (/ (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (- (pow (sqrt 1.0) 3) (pow (cos x) 3/2))) (/ (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (- (pow (sqrt 1.0) 3) (pow (cos x) 3/2))) (/ (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (- (pow (sqrt 1.0) 3) (sqrt (pow (cos x) 3)))) (/ (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (- (pow (sqrt 1.0) 3) (pow (cos x) 3/2))) (/ (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (- (pow (sqrt 1.0) 3) (pow (cos x) 3/2))) (/ (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (- (pow (sqrt 1.0) 3) (pow (cos x) 3/2))) (/ (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (- (pow (sqrt 1.0) 3) (sqrt (pow (cos x) 3)))) (/ (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (- (pow (sqrt 1.0) 3) (pow (cos x) 3/2))) (/ (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (- (sqrt (pow 1.0 3)) (pow (cos x) 3/2))) (/ (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (- (sqrt (pow 1.0 3)) (pow (cos x) 3/2))) (/ (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (- (sqrt (pow 1.0 3)) (sqrt (pow (cos x) 3)))) (/ (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (- (sqrt (pow 1.0 3)) (pow (cos x) 3/2))) (/ (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (- (pow 1.0 3/2) (pow (cos x) 3/2))) (/ (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (- (pow 1.0 3/2) (pow (cos x) 3/2))) (/ (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (- (pow 1.0 3/2) (sqrt (pow (cos x) 3)))) (/ (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (- (pow 1.0 3/2) (pow (cos x) 3/2))) (/ (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (- (pow 1.0 3) (pow (cos x) 3))) (/ (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (- (pow 1.0 3) (pow (cos x) 3))) (/ (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (- (pow 1.0 3) (pow (cos x) 3))) (/ (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (- (pow 1.0 3) (pow (cos x) 3))) (/ (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (- (pow 1.0 3) (pow (cos x) 3))) (/ (- (pow 1.0 3) (pow (cos x) 3)) (+ (pow 1.0 6) (pow (* (cos x) (+ (cos x) 1.0)) 3))) (/ (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (pow (cos x) 2) (* (+ (cos x) 1.0) (+ (cos x) 1.0))) (neg (* (pow 1.0 3) 1.0)))) (* (+ (+ (pow 1.0 6) (pow (cos x) 6)) (* (pow 1.0 3) (pow (cos x) 3))) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0))) (* (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 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))) (+ (cos x) 1.0) (+ (cos x) 1.0) (- (+ (* 7/8 (pow x 4)) 1) (* 3/2 (pow x 2))) (pow (cos x) 3) (pow (cos x) 3) (- (+ (* 0.5 (pow x 2)) (* 0.00138888888888887 (pow x 6))) (* 0.041666666666666685 (pow x 4))) (/ (- 1.0 (pow (cos x) 3)) (+ (pow (cos x) 2) (+ (* 1.0 (cos x)) 1.0))) (/ (- 1.0 (pow (cos x) 3)) (+ (pow (cos x) 2) (+ (* 1.0 (cos x)) 1.0))) 1.387 * * * [progress]: adding candidates to table 1.760 * * [progress]: iteration 4 / 4 1.760 * * * [progress]: picking best candidate 1.796 * * * * [pick]: Picked # 1.796 * * * [progress]: localizing error 1.813 * * * [progress]: generating rewritten candidates 1.813 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 1.820 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 2) 1.824 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1) 1.826 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 1.833 * * * [progress]: generating series expansions 1.833 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 1.834 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in (x) around 0 1.834 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in x 1.834 * [taylor]: Taking taylor expansion of 1.0 in x 1.834 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 1.834 * [taylor]: Taking taylor expansion of (cos x) in x 1.834 * [taylor]: Taking taylor expansion of x in x 1.834 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in x 1.834 * [taylor]: Taking taylor expansion of 1.0 in x 1.834 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 1.834 * [taylor]: Taking taylor expansion of (cos x) in x 1.834 * [taylor]: Taking taylor expansion of x in x 1.855 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in (x) around 0 1.855 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in x 1.855 * [taylor]: Taking taylor expansion of 1.0 in x 1.855 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 1.855 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.855 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.855 * [taylor]: Taking taylor expansion of x in x 1.856 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in x 1.856 * [taylor]: Taking taylor expansion of 1.0 in x 1.856 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) 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 x in x 1.873 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in (x) around 0 1.873 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in x 1.873 * [taylor]: Taking taylor expansion of 1.0 in x 1.873 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 1.873 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.873 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.873 * [taylor]: Taking taylor expansion of -1 in x 1.873 * [taylor]: Taking taylor expansion of x in x 1.873 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in x 1.873 * [taylor]: Taking taylor expansion of 1.0 in x 1.873 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 1.873 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.873 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.873 * [taylor]: Taking taylor expansion of -1 in x 1.873 * [taylor]: Taking taylor expansion of x in x 1.885 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 2) 1.885 * [approximate]: Taking taylor expansion of (+ 1.0 (cos x)) in (x) around 0 1.885 * [taylor]: Taking taylor expansion of (+ 1.0 (cos x)) in x 1.885 * [taylor]: Taking taylor expansion of 1.0 in x 1.885 * [taylor]: Taking taylor expansion of (cos x) in x 1.886 * [taylor]: Taking taylor expansion of x in x 1.886 * [taylor]: Taking taylor expansion of (+ 1.0 (cos x)) in x 1.886 * [taylor]: Taking taylor expansion of 1.0 in x 1.886 * [taylor]: Taking taylor expansion of (cos x) in x 1.886 * [taylor]: Taking taylor expansion of x in x 1.890 * [approximate]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in (x) around 0 1.890 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 1.890 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.890 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.890 * [taylor]: Taking taylor expansion of x in x 1.890 * [taylor]: Taking taylor expansion of 1.0 in x 1.890 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 1.890 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.890 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.890 * [taylor]: Taking taylor expansion of x in x 1.891 * [taylor]: Taking taylor expansion of 1.0 in x 1.892 * [approximate]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in (x) around 0 1.892 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 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 1.893 * [taylor]: Taking taylor expansion of 1.0 in x 1.893 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 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 1.0 in x 1.895 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1) 1.895 * [approximate]: Taking taylor expansion of (pow (cos x) 2) in (x) around 0 1.895 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 1.895 * [taylor]: Taking taylor expansion of (cos x) in x 1.895 * [taylor]: Taking taylor expansion of x in x 1.895 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 1.895 * [taylor]: Taking taylor expansion of (cos x) in x 1.895 * [taylor]: Taking taylor expansion of x in x 1.901 * [approximate]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in (x) around 0 1.901 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 1.901 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.901 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.901 * [taylor]: Taking taylor expansion of x in x 1.901 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 1.901 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.901 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.901 * [taylor]: Taking taylor expansion of x in x 1.906 * [approximate]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in (x) around 0 1.906 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 1.906 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.906 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.906 * [taylor]: Taking taylor expansion of -1 in x 1.906 * [taylor]: Taking taylor expansion of x in x 1.906 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 1.906 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.906 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.906 * [taylor]: Taking taylor expansion of -1 in x 1.906 * [taylor]: Taking taylor expansion of x in x 1.911 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 1.911 * [approximate]: Taking taylor expansion of (pow (cos x) 3) in (x) around 0 1.911 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 1.911 * [taylor]: Taking taylor expansion of (cos x) in x 1.911 * [taylor]: Taking taylor expansion of x in x 1.911 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 1.911 * [taylor]: Taking taylor expansion of (cos x) in x 1.911 * [taylor]: Taking taylor expansion of x in x 1.920 * [approximate]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in (x) around 0 1.920 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 1.920 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.920 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.920 * [taylor]: Taking taylor expansion of x in x 1.920 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 1.920 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.920 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.920 * [taylor]: Taking taylor expansion of x in x 1.930 * [approximate]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in (x) around 0 1.930 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 1.930 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.930 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.930 * [taylor]: Taking taylor expansion of -1 in x 1.930 * [taylor]: Taking taylor expansion of x in x 1.930 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 1.931 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.931 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.931 * [taylor]: Taking taylor expansion of -1 in x 1.931 * [taylor]: Taking taylor expansion of x in x 1.940 * * * [progress]: simplifying candidates 1.941 * [simplify]: Simplifying using # : (/ (exp (pow 1.0 3)) (exp (* (pow (cos x) 2) (cos x)))) (log (- (pow 1.0 3) (* (pow (cos x) 2) (cos x)))) (exp (- (pow 1.0 3) (* (pow (cos x) 2) (cos x)))) (* (cbrt (- (pow 1.0 3) (* (pow (cos x) 2) (cos x)))) (cbrt (- (pow 1.0 3) (* (pow (cos x) 2) (cos x))))) (cbrt (- (pow 1.0 3) (* (pow (cos x) 2) (cos x)))) (* (* (- (pow 1.0 3) (* (pow (cos x) 2) (cos x))) (- (pow 1.0 3) (* (pow (cos x) 2) (cos x)))) (- (pow 1.0 3) (* (pow (cos x) 2) (cos x)))) (sqrt (- (pow 1.0 3) (* (pow (cos x) 2) (cos x)))) (sqrt (- (pow 1.0 3) (* (pow (cos x) 2) (cos x)))) (+ (* 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) 2) (cos x)) 3)) (+ (* (pow 1.0 3) (pow 1.0 3)) (+ (* (* (pow (cos x) 2) (cos x)) (* (pow (cos x) 2) (cos x))) (* (pow 1.0 3) (* (pow (cos x) 2) (cos x))))) (neg (* (pow (cos x) 2) (cos x))) (- (* (pow 1.0 3) (pow 1.0 3)) (* (* (pow (cos x) 2) (cos x)) (* (pow (cos x) 2) (cos x)))) (+ (pow 1.0 3) (* (pow (cos x) 2) (cos x))) (neg (* (pow (cos x) 2) (cos x))) (* (exp (cos x)) (exp 1.0)) (log (+ (cos x) 1.0)) (exp (+ (cos x) 1.0)) (* (cbrt (+ (cos x) 1.0)) (cbrt (+ (cos x) 1.0))) (cbrt (+ (cos x) 1.0)) (* (* (+ (cos x) 1.0) (+ (cos x) 1.0)) (+ (cos x) 1.0)) (sqrt (+ (cos x) 1.0)) (sqrt (+ (cos x) 1.0)) (+ (pow (cos x) 3) (pow 1.0 3)) (+ (* (cos x) (cos x)) (- (* 1.0 1.0) (* (cos x) 1.0))) (- (* (cos x) (cos x)) (* 1.0 1.0)) (- (cos x) 1.0) (+ (cos x) 1.0) (* (log (cos x)) 2) (* (log (cos x)) 2) (* 1 2) (pow (cos x) (* (cbrt 2) (cbrt 2))) (pow (cos x) (sqrt 2)) (pow (cos x) 1) (pow (* (cbrt (cos x)) (cbrt (cos x))) 2) (pow (cbrt (cos x)) 2) (pow (sqrt (cos x)) 2) (pow (sqrt (cos x)) 2) (pow 1 2) (pow (cos x) 2) (log (pow (cos x) 2)) (exp (pow (cos x) 2)) (* (cbrt (pow (cos x) 2)) (cbrt (pow (cos x) 2))) (cbrt (pow (cos x) 2)) (* (* (pow (cos x) 2) (pow (cos x) 2)) (pow (cos x) 2)) (sqrt (pow (cos x) 2)) (sqrt (pow (cos x) 2)) (pow (cos x) (/ 2 2)) (pow (cos x) (/ 2 2)) (+ 2 1) (+ 2 1) (+ (* (log (cos x)) 2) (log (cos x))) (+ (* (log (cos x)) 2) (log (cos x))) (+ (log (pow (cos x) 2)) (log (cos x))) (log (* (pow (cos x) 2) (cos x))) (exp (* (pow (cos x) 2) (cos x))) (* (* (* (pow (cos x) 2) (pow (cos x) 2)) (pow (cos x) 2)) (* (* (cos x) (cos x)) (cos x))) (* (cbrt (* (pow (cos x) 2) (cos x))) (cbrt (* (pow (cos x) 2) (cos x)))) (cbrt (* (pow (cos x) 2) (cos x))) (* (* (* (pow (cos x) 2) (cos x)) (* (pow (cos x) 2) (cos x))) (* (pow (cos x) 2) (cos x))) (sqrt (* (pow (cos x) 2) (cos x))) (sqrt (* (pow (cos x) 2) (cos x))) (* (pow (sqrt (cos x)) 2) (sqrt (cos x))) (* (pow (sqrt (cos x)) 2) (sqrt (cos x))) (* (cos x) (sqrt (cos x))) (* (cos x) (sqrt (cos x))) (* (sqrt (pow (cos x) 2)) (sqrt (cos x))) (* (sqrt (pow (cos x) 2)) (sqrt (cos x))) (* (pow (cos x) (/ 2 2)) (sqrt (cos x))) (* (pow (cos x) (/ 2 2)) (sqrt (cos x))) (* (pow (cos x) 2) (* (cbrt (cos x)) (cbrt (cos x)))) (* (pow (cos x) 2) (sqrt (cos x))) (* (pow (cos x) 2) 1) (* (pow (cbrt (cos x)) 2) (cos x)) (* (pow (sqrt (cos x)) 2) (cos x)) (* (pow (cos x) 2) (cos x)) (* (cos x) (cos x)) (* (cbrt (pow (cos x) 2)) (cos x)) (* (sqrt (pow (cos x) 2)) (cos x)) (* (pow (cos x) 2) (cos x)) (* (pow (cos x) (/ 2 2)) (cos x)) (- (+ (* 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)) (- (+ (* 1/3 (pow x 4)) 1) (pow x 2)) (pow (cos x) 2) (pow (cos x) 2) (- (+ (* 7/8 (pow x 4)) 1) (* 3/2 (pow x 2))) (pow (cos x) 3) (pow (cos x) 3) 1.946 * * [simplify]: iteration 0 : 304 enodes (cost 412 ) 1.953 * * [simplify]: iteration 1 : 1236 enodes (cost 342 ) 1.982 * * [simplify]: iteration 2 : 5002 enodes (cost 332 ) 1.990 * [simplify]: Simplified to: (exp (- (pow 1.0 3) (* (pow (cos x) 2) (cos x)))) (log (- (pow 1.0 3) (* (pow (cos x) 2) (cos x)))) (exp (- (pow 1.0 3) (* (pow (cos x) 2) (cos x)))) (* (cbrt (- (pow 1.0 3) (* (pow (cos x) 2) (cos x)))) (cbrt (- (pow 1.0 3) (* (pow (cos x) 2) (cos x))))) (cbrt (- (pow 1.0 3) (* (pow (cos x) 2) (cos x)))) (pow (- (pow 1.0 3) (* (pow (cos x) 2) (cos x))) 3) (sqrt (- (pow 1.0 3) (* (pow (cos x) 2) (cos x)))) (sqrt (- (pow 1.0 3) (* (pow (cos x) 2) (cos x)))) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (- 1.0 (cos x)) (- (pow (pow 1.0 3) 3) (pow (* (pow (cos x) 2) (cos x)) 3)) (+ (* (pow (cos x) 3) (+ (pow (cos x) 3) (pow 1.0 3))) (pow 1.0 6)) (neg (pow (cos x) 3)) (+ (pow 1.0 6) (neg (* (pow (cos x) 2) (pow (cos x) 4)))) (+ (pow (cos x) 3) (pow 1.0 3)) (neg (pow (cos x) 3)) (exp (+ (cos x) 1.0)) (log (+ (cos x) 1.0)) (exp (+ (cos x) 1.0)) (* (cbrt (+ (cos x) 1.0)) (cbrt (+ (cos x) 1.0))) (cbrt (+ (cos x) 1.0)) (pow (+ (cos x) 1.0) 3) (sqrt (+ (cos x) 1.0)) (sqrt (+ (cos x) 1.0)) (+ (pow (cos x) 3) (pow 1.0 3)) (+ (* 1.0 (- 1.0 (cos x))) (pow (cos x) 2)) (- (pow (cos x) 2) (* 1.0 1.0)) (- (cos x) 1.0) (+ (cos x) 1.0) (log (pow (cos x) 2)) (log (pow (cos x) 2)) 2 (pow (cos x) (* (cbrt 2) (cbrt 2))) (pow (cos x) (sqrt 2)) (cos x) (pow (cbrt (cos x)) 4) (pow (cbrt (cos x)) 2) (cos x) (cos x) 1 (pow (cos x) 2) (log (pow (cos x) 2)) (exp (pow (cos x) 2)) (* (cbrt (pow (cos x) 2)) (cbrt (pow (cos x) 2))) (cbrt (pow (cos x) 2)) (pow (cos x) 6) (fabs (cos x)) (fabs (cos x)) (cos x) (cos x) 3 3 (* 3 (log (cos x))) (* 3 (log (cos x))) (* 3 (log (cos x))) (* 3 (log (cos x))) (pow (exp 1) (pow (cos x) 3)) (pow (pow (cos x) 3) 3) (pow (cos x) 2) (cos x) (pow (pow (cos x) 3) 3) (fabs (pow (cos x) 3/2)) (fabs (pow (cos x) 3/2)) (pow (cos x) 3/2) (pow (cos x) 3/2) (pow (cos x) 3/2) (pow (cos x) 3/2) (* (fabs (cos x)) (pow (cos x) 1/2)) (* (fabs (cos x)) (pow (cos x) 1/2)) (pow (cos x) 3/2) (pow (cos x) 3/2) (* (pow (cbrt (cos x)) 2) (pow (cos x) 2)) (pow (cos x) 5/2) (pow (cos x) 2) (* (pow (cbrt (cos x)) 2) (cos x)) (pow (cos x) 2) (pow (cos x) 3) (pow (cos x) 2) (* (cbrt (pow (cos x) 2)) (cos x)) (* (fabs (cos x)) (cos x)) (pow (cos x) 3) (pow (cos x) 2) (- (+ (* 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))) (+ (cos x) 1.0) (+ (cos x) 1.0) (- (+ (* 1/3 (pow x 4)) 1) (pow x 2)) (pow (cos x) 2) (pow (cos x) 2) (- (+ (* 7/8 (pow x 4)) 1) (* 3/2 (pow x 2))) (pow (cos x) 3) (pow (cos x) 3) 1.990 * * * [progress]: adding candidates to table 2.181 * [progress]: [Phase 3 of 3] Extracting. 2.181 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # #) 2.184 * * * [regime-changes]: Trying 2 branch expressions: ((/ (- 1.0 (cos x)) (sin x)) x) 2.184 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (sin x)) from (# # # # # # # # # # # # #) 2.250 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (sin x)) from (# #) 2.268 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # # #) 2.333 * * * [regime]: Found split indices: #