8.133 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.124 * * * [progress]: [2/2] Setting up program. 0.126 * [progress]: [Phase 2 of 3] Improving. 0.126 * [simplify]: Simplifying using # : (/ (- 1.0 (cos x)) (sin x)) 0.128 * * [simplify]: iteration 0 : 11 enodes (cost 4 ) 0.129 * * [simplify]: iteration 1 : 14 enodes (cost 4 ) 0.130 * * [simplify]: iteration 2 : 16 enodes (cost 4 ) 0.132 * * [simplify]: iteration 3 : 16 enodes (cost 4 ) 0.132 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (sin x)) 0.132 * * [progress]: iteration 1 / 4 0.132 * * * [progress]: picking best candidate 0.134 * * * * [pick]: Picked # 0.134 * * * [progress]: localizing error 0.141 * * * [progress]: generating rewritten candidates 0.141 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.145 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.152 * * * [progress]: generating series expansions 0.152 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.152 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.152 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.152 * [taylor]: Taking taylor expansion of 1.0 in x 0.152 * [taylor]: Taking taylor expansion of (cos x) in x 0.152 * [taylor]: Taking taylor expansion of x in x 0.152 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.152 * [taylor]: Taking taylor expansion of 1.0 in x 0.152 * [taylor]: Taking taylor expansion of (cos x) in x 0.152 * [taylor]: Taking taylor expansion of x in x 0.163 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.163 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.164 * [taylor]: Taking taylor expansion of 1.0 in x 0.164 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.164 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.164 * [taylor]: Taking taylor expansion of x in x 0.164 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.164 * [taylor]: Taking taylor expansion of 1.0 in x 0.164 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.164 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.164 * [taylor]: Taking taylor expansion of x in x 0.168 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.168 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.168 * [taylor]: Taking taylor expansion of 1.0 in x 0.168 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.168 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.168 * [taylor]: Taking taylor expansion of -1 in x 0.168 * [taylor]: Taking taylor expansion of x in x 0.168 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.168 * [taylor]: Taking taylor expansion of 1.0 in x 0.168 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.168 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.168 * [taylor]: Taking taylor expansion of -1 in x 0.168 * [taylor]: Taking taylor expansion of x in x 0.172 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.172 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 0.172 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.172 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.172 * [taylor]: Taking taylor expansion of 1.0 in x 0.172 * [taylor]: Taking taylor expansion of (cos x) in x 0.172 * [taylor]: Taking taylor expansion of x in x 0.172 * [taylor]: Taking taylor expansion of (sin x) in x 0.172 * [taylor]: Taking taylor expansion of x in x 0.175 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.175 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.175 * [taylor]: Taking taylor expansion of 1.0 in x 0.175 * [taylor]: Taking taylor expansion of (cos x) in x 0.175 * [taylor]: Taking taylor expansion of x in x 0.175 * [taylor]: Taking taylor expansion of (sin x) in x 0.175 * [taylor]: Taking taylor expansion of x in x 0.200 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 0.200 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.200 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.200 * [taylor]: Taking taylor expansion of 1.0 in x 0.200 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.200 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.200 * [taylor]: Taking taylor expansion of x in x 0.201 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.201 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.201 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.201 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.201 * [taylor]: Taking taylor expansion of 1.0 in x 0.201 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.201 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.202 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.202 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.202 * [taylor]: Taking taylor expansion of x in x 0.207 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 0.207 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.207 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.207 * [taylor]: Taking taylor expansion of 1.0 in x 0.207 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.207 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.207 * [taylor]: Taking taylor expansion of -1 in x 0.207 * [taylor]: Taking taylor expansion of x in x 0.208 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.208 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.208 * [taylor]: Taking taylor expansion of -1 in x 0.208 * [taylor]: Taking taylor expansion of x in x 0.208 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.208 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.208 * [taylor]: Taking taylor expansion of 1.0 in x 0.208 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.208 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.208 * [taylor]: Taking taylor expansion of -1 in x 0.208 * [taylor]: Taking taylor expansion of x in x 0.209 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.209 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.209 * [taylor]: Taking taylor expansion of -1 in x 0.209 * [taylor]: Taking taylor expansion of x in x 0.214 * * * [progress]: simplifying candidates 0.215 * [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)) 0.219 * * [simplify]: iteration 0 : 233 enodes (cost 396 ) 0.223 * * [simplify]: iteration 1 : 673 enodes (cost 373 ) 0.235 * * [simplify]: iteration 2 : 2640 enodes (cost 373 ) 0.293 * * [simplify]: iteration 3 : 5002 enodes (cost 373 ) 0.295 * [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)) 0.295 * * * [progress]: adding candidates to table 0.426 * * [progress]: iteration 2 / 4 0.426 * * * [progress]: picking best candidate 0.456 * * * * [pick]: Picked # 0.456 * * * [progress]: localizing error 0.466 * * * [progress]: generating rewritten candidates 0.466 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.469 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.483 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.489 * * * [progress]: generating series expansions 0.489 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.489 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.489 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.489 * [taylor]: Taking taylor expansion of 1.0 in x 0.489 * [taylor]: Taking taylor expansion of (cos x) in x 0.489 * [taylor]: Taking taylor expansion of x in x 0.489 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.489 * [taylor]: Taking taylor expansion of 1.0 in x 0.489 * [taylor]: Taking taylor expansion of (cos x) in x 0.489 * [taylor]: Taking taylor expansion of x in x 0.500 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.500 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.500 * [taylor]: Taking taylor expansion of 1.0 in x 0.500 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.500 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.500 * [taylor]: Taking taylor expansion of x in x 0.501 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.501 * [taylor]: Taking taylor expansion of 1.0 in x 0.501 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.501 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.501 * [taylor]: Taking taylor expansion of x in x 0.504 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.504 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.504 * [taylor]: Taking taylor expansion of 1.0 in x 0.504 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.504 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.504 * [taylor]: Taking taylor expansion of -1 in x 0.504 * [taylor]: Taking taylor expansion of x in x 0.505 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.505 * [taylor]: Taking taylor expansion of 1.0 in x 0.505 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.505 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.505 * [taylor]: Taking taylor expansion of -1 in x 0.505 * [taylor]: Taking taylor expansion of x in x 0.508 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.508 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 0.508 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.508 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.508 * [taylor]: Taking taylor expansion of 1.0 in x 0.508 * [taylor]: Taking taylor expansion of (cos x) in x 0.508 * [taylor]: Taking taylor expansion of x in x 0.508 * [taylor]: Taking taylor expansion of (sin x) in x 0.508 * [taylor]: Taking taylor expansion of x in x 0.511 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.511 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.511 * [taylor]: Taking taylor expansion of 1.0 in x 0.511 * [taylor]: Taking taylor expansion of (cos x) in x 0.511 * [taylor]: Taking taylor expansion of x in x 0.511 * [taylor]: Taking taylor expansion of (sin x) in x 0.511 * [taylor]: Taking taylor expansion of x in x 0.529 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 0.529 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.529 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.529 * [taylor]: Taking taylor expansion of 1.0 in x 0.529 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.529 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.529 * [taylor]: Taking taylor expansion of x in x 0.530 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.530 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.530 * [taylor]: Taking taylor expansion of x in x 0.530 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.530 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.530 * [taylor]: Taking taylor expansion of 1.0 in x 0.530 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.530 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.530 * [taylor]: Taking taylor expansion of x in x 0.531 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.531 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.531 * [taylor]: Taking taylor expansion of x in x 0.536 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 0.536 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.536 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.536 * [taylor]: Taking taylor expansion of 1.0 in x 0.536 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.536 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.536 * [taylor]: Taking taylor expansion of -1 in x 0.536 * [taylor]: Taking taylor expansion of x in x 0.537 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.537 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.537 * [taylor]: Taking taylor expansion of -1 in x 0.537 * [taylor]: Taking taylor expansion of x in x 0.537 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.537 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.537 * [taylor]: Taking taylor expansion of 1.0 in x 0.537 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.537 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.537 * [taylor]: Taking taylor expansion of -1 in x 0.537 * [taylor]: Taking taylor expansion of x in x 0.537 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.538 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.538 * [taylor]: Taking taylor expansion of -1 in x 0.538 * [taylor]: Taking taylor expansion of x in x 0.543 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.543 * [approximate]: Taking taylor expansion of (/ 1 (sin x)) in (x) around 0 0.543 * [taylor]: Taking taylor expansion of (/ 1 (sin x)) in x 0.543 * [taylor]: Taking taylor expansion of (sin x) in x 0.543 * [taylor]: Taking taylor expansion of x in x 0.544 * [taylor]: Taking taylor expansion of (/ 1 (sin x)) in x 0.544 * [taylor]: Taking taylor expansion of (sin x) in x 0.544 * [taylor]: Taking taylor expansion of x in x 0.552 * [approximate]: Taking taylor expansion of (/ 1 (sin (/ 1 x))) in (x) around 0 0.552 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ 1 x))) in x 0.552 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.552 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.552 * [taylor]: Taking taylor expansion of x in x 0.552 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ 1 x))) in x 0.552 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.552 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.552 * [taylor]: Taking taylor expansion of x in x 0.554 * [approximate]: Taking taylor expansion of (/ 1 (sin (/ -1 x))) in (x) around 0 0.554 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ -1 x))) in x 0.554 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.554 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.554 * [taylor]: Taking taylor expansion of -1 in x 0.554 * [taylor]: Taking taylor expansion of x in x 0.554 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ -1 x))) in x 0.554 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.554 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.554 * [taylor]: Taking taylor expansion of -1 in x 0.554 * [taylor]: Taking taylor expansion of x in x 0.556 * * * [progress]: simplifying candidates 0.563 * [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)) (* (- 1.0 (cos x)) (/ 1 (sin x))) (+ (log (- 1.0 (cos x))) (neg (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)) (/ 1 (sin x)))) (exp (* (- 1.0 (cos x)) (/ 1 (sin x)))) (* (* (* (- 1.0 (cos x)) (- 1.0 (cos 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)))) (* (cbrt (* (- 1.0 (cos x)) (/ 1 (sin x)))) (cbrt (* (- 1.0 (cos x)) (/ 1 (sin x))))) (cbrt (* (- 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)))) (sqrt (* (- 1.0 (cos x)) (/ 1 (sin x)))) (sqrt (* (- 1.0 (cos x)) (/ 1 (sin x)))) (* (- (pow 1.0 3) (pow (cos x) 3)) 1) (* (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (sin x)) (* (- (* 1.0 1.0) (* (cos x) (cos x))) 1) (* (+ 1.0 (cos x)) (sin x)) (* (sqrt (- 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)))) (* (- 1.0 (cos x)) (* (cbrt (/ 1 (sin x))) (cbrt (/ 1 (sin x))))) (* (- 1.0 (cos x)) (sqrt (/ 1 (sin x)))) (* (- 1.0 (cos x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sin x)) (cbrt (sin x))))) (* (- 1.0 (cos x)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sin x)))) (* (- 1.0 (cos x)) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (- 1.0 (cos x)) (/ (sqrt 1) (* (cbrt (sin x)) (cbrt (sin x))))) (* (- 1.0 (cos x)) (/ (sqrt 1) (sqrt (sin x)))) (* (- 1.0 (cos x)) (/ (sqrt 1) 1)) (* (- 1.0 (cos x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x))))) (* (- 1.0 (cos x)) (/ 1 (sqrt (sin x)))) (* (- 1.0 (cos x)) (/ 1 1)) (* (- 1.0 (cos x)) 1) (* (- 1.0 (cos x)) 1) (* (cbrt (- 1.0 (cos x))) (/ 1 (sin x))) (* (sqrt (- 1.0 (cos x))) (/ 1 (sin x))) (* (- 1.0 (cos x)) (/ 1 (sin x))) (* (- (sqrt 1.0) (sqrt (cos x))) (/ 1 (sin x))) (* (- 1.0 (cos x)) (/ 1 (sin x))) (* (- 1.0 (cos x)) 1) (* (- (pow 1.0 3) (pow (cos x) 3)) (/ 1 (sin x))) (* (- (* 1.0 1.0) (* (cos x) (cos x))) (/ 1 (sin x))) (neg 1) (neg (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))) (neg 1) (neg (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)) 0.568 * * [simplify]: iteration 0 : 320 enodes (cost 546 ) 0.574 * * [simplify]: iteration 1 : 1393 enodes (cost 480 ) 0.599 * * [simplify]: iteration 2 : 5001 enodes (cost 454 ) 0.602 * [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)) (/ (- 1.0 (cos x)) (sin x)) (- (log (- 1.0 (cos x))) (log (sin x))) (- (log (- 1.0 (cos x))) (log (sin x))) (- (log (- 1.0 (cos x))) (log (sin x))) (- (log (- 1.0 (cos x))) (log (sin x))) (- (log (- 1.0 (cos x))) (log (sin x))) (exp (* (- 1.0 (cos x)) (/ 1 (sin x)))) (pow (/ (- 1.0 (cos x)) (sin x)) 3) (pow (/ (- 1.0 (cos x)) (sin x)) 3) (* (cbrt (* (- 1.0 (cos x)) (/ 1 (sin x)))) (cbrt (* (- 1.0 (cos x)) (/ 1 (sin x))))) (cbrt (* (- 1.0 (cos x)) (/ 1 (sin x)))) (pow (/ (- 1.0 (cos x)) (sin x)) 3) (sqrt (* (- 1.0 (cos x)) (/ 1 (sin x)))) (sqrt (* (- 1.0 (cos x)) (/ 1 (sin x)))) (- (pow 1.0 3) (pow (cos x) 3)) (* (sin x) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0))) (- (* 1.0 1.0) (* (cos x) (cos x))) (* (+ 1.0 (cos x)) (sin x)) (* (sqrt (- 1.0 (cos x))) (sqrt (/ 1 (sin x)))) (* (sqrt (- 1.0 (cos x))) (sqrt (/ 1 (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) (sqrt (sin x))) (/ (* (sqrt (- 1.0 (cos x))) 1) (sqrt (sin x))) (* (- 1.0 (cos x)) (* (cbrt (/ 1 (sin x))) (cbrt (/ 1 (sin x))))) (* (- 1.0 (cos x)) (sqrt (/ 1 (sin x)))) (/ (- 1.0 (cos x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (sqrt (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)) (/ (- 1.0 (cos x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- 1.0 (cos 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 (cos x)) (/ (- (pow 1.0 3) (pow (cos x) 3)) (sin x)) (/ (- (* 1.0 1.0) (* (cos x) (cos x))) (sin x)) -1 (log (/ 1 (sin x))) (log (/ 1 (sin x))) (log (/ 1 (sin x))) (log (/ 1 (sin x))) (exp (/ 1 (sin x))) (/ 1 (pow (sin x) 3)) (* (cbrt (/ 1 (sin x))) (cbrt (/ 1 (sin x)))) (cbrt (/ 1 (sin x))) (/ 1 (pow (sin x) 3)) (sqrt (/ 1 (sin x))) (sqrt (/ 1 (sin x))) -1 (neg (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)) 0.603 * * * [progress]: adding candidates to table 0.727 * * [progress]: iteration 3 / 4 0.727 * * * [progress]: picking best candidate 0.755 * * * * [pick]: Picked # 0.755 * * * [progress]: localizing error 0.764 * * * [progress]: generating rewritten candidates 0.764 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.777 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.781 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.787 * * * [progress]: generating series expansions 0.787 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.787 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 (sin x))) (/ (cos x) (sin x))) in (x) around 0 0.787 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (sin x))) (/ (cos x) (sin x))) in x 0.787 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (sin x))) in x 0.787 * [taylor]: Taking taylor expansion of 1.0 in x 0.787 * [taylor]: Taking taylor expansion of (/ 1 (sin x)) in x 0.787 * [taylor]: Taking taylor expansion of (sin x) in x 0.787 * [taylor]: Taking taylor expansion of x in x 0.788 * [taylor]: Taking taylor expansion of (/ (cos x) (sin x)) in x 0.788 * [taylor]: Taking taylor expansion of (cos x) in x 0.788 * [taylor]: Taking taylor expansion of x in x 0.788 * [taylor]: Taking taylor expansion of (sin x) in x 0.788 * [taylor]: Taking taylor expansion of x in x 0.789 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (sin x))) (/ (cos x) (sin x))) in x 0.789 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (sin x))) in x 0.789 * [taylor]: Taking taylor expansion of 1.0 in x 0.789 * [taylor]: Taking taylor expansion of (/ 1 (sin x)) in x 0.789 * [taylor]: Taking taylor expansion of (sin x) in x 0.789 * [taylor]: Taking taylor expansion of x in x 0.790 * [taylor]: Taking taylor expansion of (/ (cos x) (sin x)) in x 0.790 * [taylor]: Taking taylor expansion of (cos x) in x 0.790 * [taylor]: Taking taylor expansion of x in x 0.790 * [taylor]: Taking taylor expansion of (sin x) in x 0.790 * [taylor]: Taking taylor expansion of x in x 0.844 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 (sin (/ 1 x)))) (/ (cos (/ 1 x)) (sin (/ 1 x)))) in (x) around 0 0.844 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (sin (/ 1 x)))) (/ (cos (/ 1 x)) (sin (/ 1 x)))) in x 0.844 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (sin (/ 1 x)))) in x 0.844 * [taylor]: Taking taylor expansion of 1.0 in x 0.844 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ 1 x))) in x 0.844 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.844 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.844 * [taylor]: Taking taylor expansion of x in x 0.845 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 x)) (sin (/ 1 x))) in x 0.845 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.845 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.845 * [taylor]: Taking taylor expansion of x in x 0.845 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.845 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.845 * [taylor]: Taking taylor expansion of x in x 0.845 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (sin (/ 1 x)))) (/ (cos (/ 1 x)) (sin (/ 1 x)))) in x 0.845 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (sin (/ 1 x)))) in x 0.845 * [taylor]: Taking taylor expansion of 1.0 in x 0.845 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ 1 x))) in x 0.845 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.846 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.846 * [taylor]: Taking taylor expansion of x in x 0.846 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 x)) (sin (/ 1 x))) in x 0.846 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.846 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.846 * [taylor]: Taking taylor expansion of x in x 0.846 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.846 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.846 * [taylor]: Taking taylor expansion of x in x 0.859 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 (sin (/ -1 x)))) (/ (cos (/ -1 x)) (sin (/ -1 x)))) in (x) around 0 0.859 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (sin (/ -1 x)))) (/ (cos (/ -1 x)) (sin (/ -1 x)))) in x 0.859 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (sin (/ -1 x)))) in x 0.859 * [taylor]: Taking taylor expansion of 1.0 in x 0.859 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ -1 x))) in x 0.859 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.859 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.859 * [taylor]: Taking taylor expansion of -1 in x 0.859 * [taylor]: Taking taylor expansion of x in x 0.859 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 x)) (sin (/ -1 x))) in x 0.859 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.859 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.860 * [taylor]: Taking taylor expansion of -1 in x 0.860 * [taylor]: Taking taylor expansion of x in x 0.860 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.860 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.860 * [taylor]: Taking taylor expansion of -1 in x 0.860 * [taylor]: Taking taylor expansion of x in x 0.860 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (sin (/ -1 x)))) (/ (cos (/ -1 x)) (sin (/ -1 x)))) in x 0.860 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (sin (/ -1 x)))) in x 0.860 * [taylor]: Taking taylor expansion of 1.0 in x 0.860 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ -1 x))) in x 0.860 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.860 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.860 * [taylor]: Taking taylor expansion of -1 in x 0.860 * [taylor]: Taking taylor expansion of x in x 0.861 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 x)) (sin (/ -1 x))) in x 0.861 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.861 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.861 * [taylor]: Taking taylor expansion of -1 in x 0.861 * [taylor]: Taking taylor expansion of x in x 0.861 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.861 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.861 * [taylor]: Taking taylor expansion of -1 in x 0.861 * [taylor]: Taking taylor expansion of x in x 0.874 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.874 * [approximate]: Taking taylor expansion of (/ (cos x) (sin x)) in (x) around 0 0.874 * [taylor]: Taking taylor expansion of (/ (cos x) (sin x)) in x 0.874 * [taylor]: Taking taylor expansion of (cos x) in x 0.874 * [taylor]: Taking taylor expansion of x in x 0.874 * [taylor]: Taking taylor expansion of (sin x) in x 0.874 * [taylor]: Taking taylor expansion of x in x 0.875 * [taylor]: Taking taylor expansion of (/ (cos x) (sin x)) in x 0.875 * [taylor]: Taking taylor expansion of (cos x) in x 0.875 * [taylor]: Taking taylor expansion of x in x 0.875 * [taylor]: Taking taylor expansion of (sin x) in x 0.875 * [taylor]: Taking taylor expansion of x in x 0.885 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 x)) (sin (/ 1 x))) in (x) around 0 0.885 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 x)) (sin (/ 1 x))) in x 0.885 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.885 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.886 * [taylor]: Taking taylor expansion of x in x 0.886 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.886 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.886 * [taylor]: Taking taylor expansion of x in x 0.886 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 x)) (sin (/ 1 x))) in x 0.886 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.886 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.886 * [taylor]: Taking taylor expansion of x in x 0.887 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.887 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.887 * [taylor]: Taking taylor expansion of x in x 0.889 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 x)) (sin (/ -1 x))) in (x) around 0 0.889 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 x)) (sin (/ -1 x))) in x 0.889 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.889 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.889 * [taylor]: Taking taylor expansion of -1 in x 0.889 * [taylor]: Taking taylor expansion of x in x 0.889 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.889 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.889 * [taylor]: Taking taylor expansion of -1 in x 0.889 * [taylor]: Taking taylor expansion of x in x 0.890 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 x)) (sin (/ -1 x))) in x 0.890 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.890 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.890 * [taylor]: Taking taylor expansion of -1 in x 0.890 * [taylor]: Taking taylor expansion of x in x 0.890 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.890 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.890 * [taylor]: Taking taylor expansion of -1 in x 0.890 * [taylor]: Taking taylor expansion of x in x 0.892 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.893 * [approximate]: Taking taylor expansion of (/ 1.0 (sin x)) in (x) around 0 0.893 * [taylor]: Taking taylor expansion of (/ 1.0 (sin x)) in x 0.893 * [taylor]: Taking taylor expansion of 1.0 in x 0.893 * [taylor]: Taking taylor expansion of (sin x) in x 0.893 * [taylor]: Taking taylor expansion of x in x 0.893 * [taylor]: Taking taylor expansion of (/ 1.0 (sin x)) in x 0.893 * [taylor]: Taking taylor expansion of 1.0 in x 0.893 * [taylor]: Taking taylor expansion of (sin x) in x 0.893 * [taylor]: Taking taylor expansion of x in x 0.906 * [approximate]: Taking taylor expansion of (/ 1.0 (sin (/ 1 x))) in (x) around 0 0.906 * [taylor]: Taking taylor expansion of (/ 1.0 (sin (/ 1 x))) in x 0.906 * [taylor]: Taking taylor expansion of 1.0 in x 0.906 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.906 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.906 * [taylor]: Taking taylor expansion of x in x 0.907 * [taylor]: Taking taylor expansion of (/ 1.0 (sin (/ 1 x))) in x 0.907 * [taylor]: Taking taylor expansion of 1.0 in x 0.907 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.907 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.907 * [taylor]: Taking taylor expansion of x in x 0.909 * [approximate]: Taking taylor expansion of (/ 1.0 (sin (/ -1 x))) in (x) around 0 0.909 * [taylor]: Taking taylor expansion of (/ 1.0 (sin (/ -1 x))) in x 0.909 * [taylor]: Taking taylor expansion of 1.0 in x 0.909 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.909 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.909 * [taylor]: Taking taylor expansion of -1 in x 0.909 * [taylor]: Taking taylor expansion of x in x 0.909 * [taylor]: Taking taylor expansion of (/ 1.0 (sin (/ -1 x))) in x 0.909 * [taylor]: Taking taylor expansion of 1.0 in x 0.909 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.909 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.909 * [taylor]: Taking taylor expansion of -1 in x 0.909 * [taylor]: Taking taylor expansion of x in x 0.916 * * * [progress]: simplifying candidates 0.918 * [simplify]: Simplifying using # : (/ (exp (/ 1.0 (sin x))) (exp (/ (cos x) (sin x)))) (log (- (/ 1.0 (sin x)) (/ (cos x) (sin x)))) (exp (- (/ 1.0 (sin x)) (/ (cos x) (sin x)))) (* (cbrt (- (/ 1.0 (sin x)) (/ (cos x) (sin x)))) (cbrt (- (/ 1.0 (sin x)) (/ (cos x) (sin x))))) (cbrt (- (/ 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)))) (sqrt (- (/ 1.0 (sin x)) (/ (cos x) (sin x)))) (sqrt (- (/ 1.0 (sin x)) (/ (cos x) (sin x)))) (- 1.0 (cos x)) (- (* 1.0 (sin x)) (* (sin x) (cos x))) (* (sin x) (sin x)) (- (pow (/ 1.0 (sin x)) 3) (pow (/ (cos x) (sin x)) 3)) (+ (* (/ 1.0 (sin x)) (/ 1.0 (sin x))) (+ (* (/ (cos x) (sin x)) (/ (cos x) (sin x))) (* (/ 1.0 (sin x)) (/ (cos x) (sin x))))) (neg (/ (cos x) (sin x))) (- (* (/ 1.0 (sin x)) (/ 1.0 (sin x))) (* (/ (cos x) (sin x)) (/ (cos x) (sin x)))) (+ (/ 1.0 (sin x)) (/ (cos x) (sin x))) (+ (sqrt (/ 1.0 (sin x))) (sqrt (/ (cos x) (sin x)))) (- (sqrt (/ 1.0 (sin x))) (sqrt (/ (cos x) (sin x)))) (+ (sqrt (/ 1.0 (sin x))) (/ (sqrt (cos x)) (sqrt (sin x)))) (- (sqrt (/ 1.0 (sin x))) (/ (sqrt (cos x)) (sqrt (sin x)))) (+ (/ (sqrt 1.0) (sqrt (sin x))) (sqrt (/ (cos x) (sin x)))) (- (/ (sqrt 1.0) (sqrt (sin x))) (sqrt (/ (cos x) (sin x)))) (+ (/ (sqrt 1.0) (sqrt (sin x))) (/ (sqrt (cos x)) (sqrt (sin x)))) (- (/ (sqrt 1.0) (sqrt (sin x))) (/ (sqrt (cos x)) (sqrt (sin x)))) (- (/ 1.0 (cbrt (sin x))) (/ (cos x) (cbrt (sin x)))) (- (/ 1.0 (sqrt (sin x))) (/ (cos x) (sqrt (sin x)))) (- (/ 1.0 (sin x)) (/ (cos x) (sin x))) (- (/ 1.0 (sin x)) (/ (cos x) (sin x))) (- 1.0 (cos x)) (neg (/ (cos x) (sin x))) (- (log (cos x)) (log (sin x))) (log (/ (cos x) (sin x))) (exp (/ (cos x) (sin x))) (/ (* (* (cos x) (cos x)) (cos x)) (* (* (sin x) (sin x)) (sin x))) (* (cbrt (/ (cos x) (sin x))) (cbrt (/ (cos x) (sin x)))) (cbrt (/ (cos x) (sin x))) (* (* (/ (cos x) (sin x)) (/ (cos x) (sin x))) (/ (cos x) (sin x))) (sqrt (/ (cos x) (sin x))) (sqrt (/ (cos x) (sin x))) (neg (cos x)) (neg (sin x)) (/ (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt (cos x)) (cbrt (sin x))) (/ (* (cbrt (cos x)) (cbrt (cos x))) (sqrt (sin x))) (/ (cbrt (cos x)) (sqrt (sin x))) (/ (* (cbrt (cos x)) (cbrt (cos x))) 1) (/ (cbrt (cos x)) (sin x)) (/ (sqrt (cos x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (cos x)) (cbrt (sin x))) (/ (sqrt (cos x)) (sqrt (sin x))) (/ (sqrt (cos x)) (sqrt (sin x))) (/ (sqrt (cos x)) 1) (/ (sqrt (cos x)) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cos x) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (cos x) (sqrt (sin x))) (/ 1 1) (/ (cos x) (sin x)) (/ 1 (sin x)) (/ (sin x) (cos x)) (/ (cos x) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cos x) (sqrt (sin x))) (/ (cos x) 1) (/ (sin x) (cbrt (cos x))) (/ (sin x) (sqrt (cos x))) (/ (sin x) (cos x)) (- (log 1.0) (log (sin x))) (log (/ 1.0 (sin x))) (exp (/ 1.0 (sin x))) (/ (* (* 1.0 1.0) 1.0) (* (* (sin x) (sin x)) (sin x))) (* (cbrt (/ 1.0 (sin x))) (cbrt (/ 1.0 (sin x)))) (cbrt (/ 1.0 (sin x))) (* (* (/ 1.0 (sin x)) (/ 1.0 (sin x))) (/ 1.0 (sin x))) (sqrt (/ 1.0 (sin x))) (sqrt (/ 1.0 (sin x))) (neg 1.0) (neg (sin x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt 1.0) (cbrt (sin x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sin x))) (/ (cbrt 1.0) (sqrt (sin x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sin x)) (/ (sqrt 1.0) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt 1.0) (cbrt (sin x))) (/ (sqrt 1.0) (sqrt (sin x))) (/ (sqrt 1.0) (sqrt (sin x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1.0 (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ 1.0 (sqrt (sin x))) (/ 1 1) (/ 1.0 (sin x)) (/ 1 (sin x)) (/ (sin x) 1.0) (/ 1.0 (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1.0 (sqrt (sin x))) (/ 1.0 1) (/ (sin x) (cbrt 1.0)) (/ (sin x) (sqrt 1.0)) (/ (sin x) 1.0) (+ (* 0.04166666666666667 (pow x 3)) (+ (* 0.004166666666666667 (pow x 5)) (* 0.5 x))) (- (* 1.0 (/ 1 (sin x))) (/ (cos x) (sin x))) (- (* 1.0 (/ 1 (sin x))) (/ (cos x) (sin x))) (- (/ 1 x) (+ (* 1/45 (pow x 3)) (* 1/3 x))) (/ (cos x) (sin x)) (/ (cos x) (sin x)) (+ (* 0.019444444444444445 (pow x 3)) (+ (* 1.0 (/ 1 x)) (* 0.16666666666666666 x))) (/ 1.0 (sin x)) (/ 1.0 (sin x)) 0.923 * * [simplify]: iteration 0 : 287 enodes (cost 581 ) 0.927 * * [simplify]: iteration 1 : 772 enodes (cost 552 ) 0.938 * * [simplify]: iteration 2 : 2215 enodes (cost 552 ) 0.973 * * [simplify]: iteration 3 : 5002 enodes (cost 551 ) 0.976 * [simplify]: Simplified to: (exp (- (/ 1.0 (sin x)) (/ (cos x) (sin x)))) (log (- (/ 1.0 (sin x)) (/ (cos x) (sin x)))) (exp (- (/ 1.0 (sin x)) (/ (cos x) (sin x)))) (* (cbrt (- (/ 1.0 (sin x)) (/ (cos x) (sin x)))) (cbrt (- (/ 1.0 (sin x)) (/ (cos x) (sin x))))) (cbrt (- (/ 1.0 (sin x)) (/ (cos x) (sin x)))) (pow (- (/ 1.0 (sin x)) (/ (cos x) (sin x))) 3) (sqrt (- (/ 1.0 (sin x)) (/ (cos x) (sin x)))) (sqrt (- (/ 1.0 (sin x)) (/ (cos x) (sin x)))) (- 1.0 (cos x)) (* (sin x) (- 1.0 (cos x))) (* (sin x) (sin x)) (- (pow (/ 1.0 (sin x)) 3) (pow (/ (cos x) (sin x)) 3)) (+ (* (/ 1.0 (* (sin x) (sin x))) (+ (cos x) 1.0)) (* (/ (cos x) (sin x)) (/ (cos x) (sin x)))) (neg (/ (cos x) (sin x))) (- (* (/ 1.0 (sin x)) (/ 1.0 (sin x))) (* (/ (cos x) (sin x)) (/ (cos x) (sin x)))) (+ (/ 1.0 (sin x)) (/ (cos x) (sin x))) (+ (sqrt (/ 1.0 (sin x))) (sqrt (/ (cos x) (sin x)))) (- (sqrt (/ 1.0 (sin x))) (sqrt (/ (cos x) (sin x)))) (+ (sqrt (/ 1.0 (sin x))) (/ (sqrt (cos x)) (sqrt (sin x)))) (- (sqrt (/ 1.0 (sin x))) (/ (sqrt (cos x)) (sqrt (sin x)))) (+ (/ (sqrt 1.0) (sqrt (sin x))) (sqrt (/ (cos x) (sin x)))) (- (/ (sqrt 1.0) (sqrt (sin x))) (sqrt (/ (cos x) (sin x)))) (+ (/ (sqrt 1.0) (sqrt (sin x))) (/ (sqrt (cos x)) (sqrt (sin x)))) (- (/ (sqrt 1.0) (sqrt (sin x))) (/ (sqrt (cos x)) (sqrt (sin x)))) (- (/ 1.0 (cbrt (sin x))) (/ (cos x) (cbrt (sin x)))) (- (/ 1.0 (sqrt (sin x))) (/ (cos x) (sqrt (sin x)))) (- (/ 1.0 (sin x)) (/ (cos x) (sin x))) (- (/ 1.0 (sin x)) (/ (cos x) (sin x))) (- 1.0 (cos x)) (neg (/ (cos x) (sin x))) (log (/ (cos x) (sin x))) (log (/ (cos x) (sin x))) (exp (/ (cos x) (sin x))) (pow (/ (cos x) (sin x)) 3) (* (cbrt (/ (cos x) (sin x))) (cbrt (/ (cos x) (sin x)))) (cbrt (/ (cos x) (sin x))) (pow (/ (cos x) (sin x)) 3) (sqrt (/ (cos x) (sin x))) (sqrt (/ (cos x) (sin x))) (neg (cos x)) (neg (sin x)) (/ (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt (cos x)) (cbrt (sin x))) (/ (* (cbrt (cos x)) (cbrt (cos x))) (sqrt (sin x))) (/ (cbrt (cos x)) (sqrt (sin x))) (* (cbrt (cos x)) (cbrt (cos x))) (/ (cbrt (cos x)) (sin x)) (/ (sqrt (cos x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (cos x)) (cbrt (sin x))) (/ (sqrt (cos x)) (sqrt (sin x))) (/ (sqrt (cos x)) (sqrt (sin x))) (sqrt (cos x)) (/ (sqrt (cos x)) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cos x) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (cos x) (sqrt (sin x))) 1 (/ (cos x) (sin x)) (/ 1 (sin x)) (/ (sin x) (cos x)) (/ (cos x) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cos x) (sqrt (sin x))) (cos x) (/ (sin x) (cbrt (cos x))) (/ (sin x) (sqrt (cos x))) (/ (sin x) (cos x)) (log (/ 1.0 (sin x))) (log (/ 1.0 (sin x))) (exp (/ 1.0 (sin x))) (pow (/ 1.0 (sin x)) 3) (* (cbrt (/ 1.0 (sin x))) (cbrt (/ 1.0 (sin x)))) (cbrt (/ 1.0 (sin x))) (pow (/ 1.0 (sin x)) 3) (sqrt (/ 1.0 (sin x))) (sqrt (/ 1.0 (sin x))) (neg 1.0) (neg (sin x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt 1.0) (cbrt (sin x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sin x))) (/ (cbrt 1.0) (sqrt (sin x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sin x)) (/ (sqrt 1.0) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt 1.0) (cbrt (sin x))) (/ (sqrt 1.0) (sqrt (sin x))) (/ (sqrt 1.0) (sqrt (sin x))) (sqrt 1.0) (/ (sqrt 1.0) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1.0 (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ 1.0 (sqrt (sin x))) 1 (/ 1.0 (sin x)) (/ 1 (sin x)) (/ (sin x) 1.0) (/ 1.0 (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1.0 (sqrt (sin x))) 1.0 (/ (sin x) (cbrt 1.0)) (/ (sin x) (sqrt 1.0)) (/ (sin x) 1.0) (+ (* 0.04166666666666667 (pow x 3)) (+ (* 0.004166666666666667 (pow x 5)) (* 0.5 x))) (- (/ 1.0 (sin x)) (/ (cos x) (sin x))) (- (/ 1.0 (sin x)) (/ (cos x) (sin x))) (- (/ 1 x) (+ (* 1/45 (pow x 3)) (* 1/3 x))) (/ (cos x) (sin x)) (/ (cos x) (sin x)) (+ (* 0.019444444444444445 (pow x 3)) (+ (* 1.0 (/ 1 x)) (* 0.16666666666666666 x))) (/ 1.0 (sin x)) (/ 1.0 (sin x)) 0.977 * * * [progress]: adding candidates to table 1.136 * * [progress]: iteration 4 / 4 1.137 * * * [progress]: picking best candidate 1.165 * * * * [pick]: Picked # 1.165 * * * [progress]: localizing error 1.175 * * * [progress]: generating rewritten candidates 1.175 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.182 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 1.190 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.193 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 1.203 * * * [progress]: generating series expansions 1.203 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.203 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 (sin x))) (/ (cos x) (sin x))) in (x) around 0 1.204 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (sin x))) (/ (cos x) (sin x))) in x 1.204 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (sin x))) in x 1.204 * [taylor]: Taking taylor expansion of 1.0 in x 1.204 * [taylor]: Taking taylor expansion of (/ 1 (sin x)) in x 1.204 * [taylor]: Taking taylor expansion of (sin x) in x 1.204 * [taylor]: Taking taylor expansion of x in x 1.205 * [taylor]: Taking taylor expansion of (/ (cos x) (sin x)) in x 1.205 * [taylor]: Taking taylor expansion of (cos x) in x 1.205 * [taylor]: Taking taylor expansion of x in x 1.205 * [taylor]: Taking taylor expansion of (sin x) in x 1.205 * [taylor]: Taking taylor expansion of x in x 1.205 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (sin x))) (/ (cos x) (sin x))) in x 1.206 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (sin x))) in x 1.206 * [taylor]: Taking taylor expansion of 1.0 in x 1.206 * [taylor]: Taking taylor expansion of (/ 1 (sin x)) in x 1.206 * [taylor]: Taking taylor expansion of (sin x) in x 1.206 * [taylor]: Taking taylor expansion of x in x 1.206 * [taylor]: Taking taylor expansion of (/ (cos x) (sin x)) in x 1.206 * [taylor]: Taking taylor expansion of (cos x) in x 1.206 * [taylor]: Taking taylor expansion of x in x 1.206 * [taylor]: Taking taylor expansion of (sin x) in x 1.206 * [taylor]: Taking taylor expansion of x in x 1.255 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 (sin (/ 1 x)))) (/ (cos (/ 1 x)) (sin (/ 1 x)))) in (x) around 0 1.255 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (sin (/ 1 x)))) (/ (cos (/ 1 x)) (sin (/ 1 x)))) in x 1.255 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (sin (/ 1 x)))) in x 1.255 * [taylor]: Taking taylor expansion of 1.0 in x 1.255 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ 1 x))) in x 1.255 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.255 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.255 * [taylor]: Taking taylor expansion of x in x 1.256 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 x)) (sin (/ 1 x))) in x 1.256 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.256 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.256 * [taylor]: Taking taylor expansion of x in x 1.256 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.256 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.256 * [taylor]: Taking taylor expansion of x in x 1.256 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (sin (/ 1 x)))) (/ (cos (/ 1 x)) (sin (/ 1 x)))) in x 1.256 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (sin (/ 1 x)))) in x 1.257 * [taylor]: Taking taylor expansion of 1.0 in x 1.257 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ 1 x))) in x 1.257 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.257 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.257 * [taylor]: Taking taylor expansion of x in x 1.257 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 x)) (sin (/ 1 x))) in x 1.257 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.257 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.257 * [taylor]: Taking taylor expansion of x in x 1.257 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.257 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.257 * [taylor]: Taking taylor expansion of x in x 1.270 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 (sin (/ -1 x)))) (/ (cos (/ -1 x)) (sin (/ -1 x)))) in (x) around 0 1.270 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (sin (/ -1 x)))) (/ (cos (/ -1 x)) (sin (/ -1 x)))) in x 1.270 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (sin (/ -1 x)))) in x 1.270 * [taylor]: Taking taylor expansion of 1.0 in x 1.270 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ -1 x))) in x 1.270 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.270 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.270 * [taylor]: Taking taylor expansion of -1 in x 1.270 * [taylor]: Taking taylor expansion of x in x 1.270 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 x)) (sin (/ -1 x))) in x 1.270 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.270 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.270 * [taylor]: Taking taylor expansion of -1 in x 1.270 * [taylor]: Taking taylor expansion of x in x 1.271 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.271 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.271 * [taylor]: Taking taylor expansion of -1 in x 1.271 * [taylor]: Taking taylor expansion of x in x 1.271 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (sin (/ -1 x)))) (/ (cos (/ -1 x)) (sin (/ -1 x)))) in x 1.271 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (sin (/ -1 x)))) in x 1.271 * [taylor]: Taking taylor expansion of 1.0 in x 1.271 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ -1 x))) in x 1.271 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.271 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.271 * [taylor]: Taking taylor expansion of -1 in x 1.271 * [taylor]: Taking taylor expansion of x in x 1.272 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 x)) (sin (/ -1 x))) in x 1.272 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.272 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.272 * [taylor]: Taking taylor expansion of -1 in x 1.272 * [taylor]: Taking taylor expansion of x in x 1.272 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.272 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.272 * [taylor]: Taking taylor expansion of -1 in x 1.272 * [taylor]: Taking taylor expansion of x in x 1.290 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 1.291 * [approximate]: Taking taylor expansion of (/ (cos x) (sin x)) in (x) around 0 1.291 * [taylor]: Taking taylor expansion of (/ (cos x) (sin x)) in x 1.291 * [taylor]: Taking taylor expansion of (cos x) in x 1.291 * [taylor]: Taking taylor expansion of x in x 1.291 * [taylor]: Taking taylor expansion of (sin x) in x 1.291 * [taylor]: Taking taylor expansion of x in x 1.291 * [taylor]: Taking taylor expansion of (/ (cos x) (sin x)) in x 1.291 * [taylor]: Taking taylor expansion of (cos x) in x 1.291 * [taylor]: Taking taylor expansion of x in x 1.291 * [taylor]: Taking taylor expansion of (sin x) in x 1.291 * [taylor]: Taking taylor expansion of x in x 1.302 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 x)) (sin (/ 1 x))) in (x) around 0 1.302 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 x)) (sin (/ 1 x))) in x 1.302 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.302 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.302 * [taylor]: Taking taylor expansion of x in x 1.303 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.303 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.303 * [taylor]: Taking taylor expansion of x in x 1.303 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 x)) (sin (/ 1 x))) in x 1.303 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.303 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.303 * [taylor]: Taking taylor expansion of x in x 1.304 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.304 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.304 * [taylor]: Taking taylor expansion of x in x 1.306 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 x)) (sin (/ -1 x))) in (x) around 0 1.306 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 x)) (sin (/ -1 x))) in x 1.306 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.306 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.306 * [taylor]: Taking taylor expansion of -1 in x 1.306 * [taylor]: Taking taylor expansion of x in x 1.306 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.306 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.306 * [taylor]: Taking taylor expansion of -1 in x 1.306 * [taylor]: Taking taylor expansion of x in x 1.307 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 x)) (sin (/ -1 x))) in x 1.307 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.307 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.307 * [taylor]: Taking taylor expansion of -1 in x 1.307 * [taylor]: Taking taylor expansion of x in x 1.307 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.307 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.307 * [taylor]: Taking taylor expansion of -1 in x 1.307 * [taylor]: Taking taylor expansion of x in x 1.309 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.309 * [approximate]: Taking taylor expansion of (/ 1.0 (sin x)) in (x) around 0 1.310 * [taylor]: Taking taylor expansion of (/ 1.0 (sin x)) in x 1.310 * [taylor]: Taking taylor expansion of 1.0 in x 1.310 * [taylor]: Taking taylor expansion of (sin x) in x 1.310 * [taylor]: Taking taylor expansion of x in x 1.310 * [taylor]: Taking taylor expansion of (/ 1.0 (sin x)) in x 1.310 * [taylor]: Taking taylor expansion of 1.0 in x 1.310 * [taylor]: Taking taylor expansion of (sin x) in x 1.310 * [taylor]: Taking taylor expansion of x in x 1.323 * [approximate]: Taking taylor expansion of (/ 1.0 (sin (/ 1 x))) in (x) around 0 1.323 * [taylor]: Taking taylor expansion of (/ 1.0 (sin (/ 1 x))) in x 1.323 * [taylor]: Taking taylor expansion of 1.0 in x 1.323 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.323 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.323 * [taylor]: Taking taylor expansion of x in x 1.324 * [taylor]: Taking taylor expansion of (/ 1.0 (sin (/ 1 x))) in x 1.324 * [taylor]: Taking taylor expansion of 1.0 in x 1.324 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.324 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.324 * [taylor]: Taking taylor expansion of x in x 1.326 * [approximate]: Taking taylor expansion of (/ 1.0 (sin (/ -1 x))) in (x) around 0 1.326 * [taylor]: Taking taylor expansion of (/ 1.0 (sin (/ -1 x))) in x 1.326 * [taylor]: Taking taylor expansion of 1.0 in x 1.326 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.326 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.326 * [taylor]: Taking taylor expansion of -1 in x 1.326 * [taylor]: Taking taylor expansion of x in x 1.327 * [taylor]: Taking taylor expansion of (/ 1.0 (sin (/ -1 x))) in x 1.327 * [taylor]: Taking taylor expansion of 1.0 in x 1.327 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.327 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.327 * [taylor]: Taking taylor expansion of -1 in x 1.327 * [taylor]: Taking taylor expansion of x in x 1.329 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 1.329 * [approximate]: Taking taylor expansion of (/ 1 (sin x)) in (x) around 0 1.329 * [taylor]: Taking taylor expansion of (/ 1 (sin x)) in x 1.329 * [taylor]: Taking taylor expansion of (sin x) in x 1.329 * [taylor]: Taking taylor expansion of x in x 1.330 * [taylor]: Taking taylor expansion of (/ 1 (sin x)) in x 1.330 * [taylor]: Taking taylor expansion of (sin x) in x 1.330 * [taylor]: Taking taylor expansion of x in x 1.337 * [approximate]: Taking taylor expansion of (/ 1 (sin (/ 1 x))) in (x) around 0 1.337 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ 1 x))) in x 1.337 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.337 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.337 * [taylor]: Taking taylor expansion of x in x 1.338 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ 1 x))) in x 1.338 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.338 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.338 * [taylor]: Taking taylor expansion of x in x 1.339 * [approximate]: Taking taylor expansion of (/ 1 (sin (/ -1 x))) in (x) around 0 1.339 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ -1 x))) in x 1.339 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.339 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.340 * [taylor]: Taking taylor expansion of -1 in x 1.340 * [taylor]: Taking taylor expansion of x in x 1.340 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ -1 x))) in x 1.340 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.340 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.340 * [taylor]: Taking taylor expansion of -1 in x 1.340 * [taylor]: Taking taylor expansion of x in x 1.342 * * * [progress]: simplifying candidates 1.343 * [simplify]: Simplifying using # : (/ (exp (/ 1.0 (sin x))) (exp (* (cos x) (/ 1 (sin x))))) (log (- (/ 1.0 (sin x)) (* (cos x) (/ 1 (sin x))))) (exp (- (/ 1.0 (sin x)) (* (cos x) (/ 1 (sin x))))) (* (cbrt (- (/ 1.0 (sin x)) (* (cos x) (/ 1 (sin x))))) (cbrt (- (/ 1.0 (sin x)) (* (cos x) (/ 1 (sin x)))))) (cbrt (- (/ 1.0 (sin x)) (* (cos x) (/ 1 (sin x))))) (* (* (- (/ 1.0 (sin x)) (* (cos x) (/ 1 (sin x)))) (- (/ 1.0 (sin x)) (* (cos x) (/ 1 (sin x))))) (- (/ 1.0 (sin x)) (* (cos x) (/ 1 (sin x))))) (sqrt (- (/ 1.0 (sin x)) (* (cos x) (/ 1 (sin x))))) (sqrt (- (/ 1.0 (sin x)) (* (cos x) (/ 1 (sin x))))) (- 1.0 (cos x)) (- 1.0 (* (cos x) 1)) (- (* 1.0 (sin x)) (* (sin x) (cos x))) (* (sin x) (sin x)) (- (* 1.0 (sin x)) (* (sin x) (* (cos x) 1))) (* (sin x) (sin x)) (- (pow (/ 1.0 (sin x)) 3) (pow (* (cos x) (/ 1 (sin x))) 3)) (+ (* (/ 1.0 (sin x)) (/ 1.0 (sin x))) (+ (* (* (cos x) (/ 1 (sin x))) (* (cos x) (/ 1 (sin x)))) (* (/ 1.0 (sin x)) (* (cos x) (/ 1 (sin x)))))) (neg (* (cos x) (/ 1 (sin x)))) (- (* (/ 1.0 (sin x)) (/ 1.0 (sin x))) (* (* (cos x) (/ 1 (sin x))) (* (cos x) (/ 1 (sin x))))) (+ (/ 1.0 (sin x)) (* (cos x) (/ 1 (sin x)))) (- 1.0 (cos x)) (neg (* (cos x) (/ 1 (sin x)))) (* (cos x) (/ 1 (sin x))) (+ (log (cos x)) (neg (log (sin x)))) (+ (log (cos x)) (- 0 (log (sin x)))) (+ (log (cos x)) (- (log 1) (log (sin x)))) (+ (log (cos x)) (log (/ 1 (sin x)))) (log (* (cos x) (/ 1 (sin x)))) (exp (* (cos x) (/ 1 (sin x)))) (* (* (* (cos x) (cos x)) (cos x)) (/ (* (* 1 1) 1) (* (* (sin x) (sin x)) (sin x)))) (* (* (* (cos x) (cos x)) (cos x)) (* (* (/ 1 (sin x)) (/ 1 (sin x))) (/ 1 (sin x)))) (* (cbrt (* (cos x) (/ 1 (sin x)))) (cbrt (* (cos x) (/ 1 (sin x))))) (cbrt (* (cos x) (/ 1 (sin x)))) (* (* (* (cos x) (/ 1 (sin x))) (* (cos x) (/ 1 (sin x)))) (* (cos x) (/ 1 (sin x)))) (sqrt (* (cos x) (/ 1 (sin x)))) (sqrt (* (cos x) (/ 1 (sin x)))) (* (sqrt (cos x)) (sqrt (/ 1 (sin x)))) (* (sqrt (cos x)) (sqrt (/ 1 (sin x)))) (* (sqrt (cos x)) (/ (sqrt 1) (sqrt (sin x)))) (* (sqrt (cos x)) (/ (sqrt 1) (sqrt (sin x)))) (* (sqrt (cos x)) (/ 1 (sqrt (sin x)))) (* (sqrt (cos x)) (/ 1 (sqrt (sin x)))) (* (cos x) (* (cbrt (/ 1 (sin x))) (cbrt (/ 1 (sin x))))) (* (cos x) (sqrt (/ 1 (sin x)))) (* (cos x) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sin x)) (cbrt (sin x))))) (* (cos x) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sin x)))) (* (cos x) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (cos x) (/ (sqrt 1) (* (cbrt (sin x)) (cbrt (sin x))))) (* (cos x) (/ (sqrt 1) (sqrt (sin x)))) (* (cos x) (/ (sqrt 1) 1)) (* (cos x) (/ 1 (* (cbrt (sin x)) (cbrt (sin x))))) (* (cos x) (/ 1 (sqrt (sin x)))) (* (cos x) (/ 1 1)) (* (cos x) 1) (* (cos x) 1) (* (cbrt (cos x)) (/ 1 (sin x))) (* (sqrt (cos x)) (/ 1 (sin x))) (* (cos x) (/ 1 (sin x))) (* (cos x) 1) (- (log 1.0) (log (sin x))) (log (/ 1.0 (sin x))) (exp (/ 1.0 (sin x))) (/ (* (* 1.0 1.0) 1.0) (* (* (sin x) (sin x)) (sin x))) (* (cbrt (/ 1.0 (sin x))) (cbrt (/ 1.0 (sin x)))) (cbrt (/ 1.0 (sin x))) (* (* (/ 1.0 (sin x)) (/ 1.0 (sin x))) (/ 1.0 (sin x))) (sqrt (/ 1.0 (sin x))) (sqrt (/ 1.0 (sin x))) (neg 1.0) (neg (sin x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt 1.0) (cbrt (sin x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sin x))) (/ (cbrt 1.0) (sqrt (sin x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sin x)) (/ (sqrt 1.0) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt 1.0) (cbrt (sin x))) (/ (sqrt 1.0) (sqrt (sin x))) (/ (sqrt 1.0) (sqrt (sin x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1.0 (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ 1.0 (sqrt (sin x))) (/ 1 1) (/ 1.0 (sin x)) (/ 1 (sin x)) (/ (sin x) 1.0) (/ 1.0 (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1.0 (sqrt (sin x))) (/ 1.0 1) (/ (sin x) (cbrt 1.0)) (/ (sin x) (sqrt 1.0)) (/ (sin x) 1.0) (neg 1) (neg (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))) (neg 1) (neg (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) (+ (* 0.04166666666666667 (pow x 3)) (+ (* 0.004166666666666667 (pow x 5)) (* 0.5 x))) (- (* 1.0 (/ 1 (sin x))) (/ (cos x) (sin x))) (- (* 1.0 (/ 1 (sin x))) (/ (cos x) (sin x))) (- (/ 1 x) (+ (* 1/45 (pow x 3)) (* 1/3 x))) (/ (cos x) (sin x)) (/ (cos x) (sin x)) (+ (* 0.019444444444444445 (pow x 3)) (+ (* 1.0 (/ 1 x)) (* 0.16666666666666666 x))) (/ 1.0 (sin x)) (/ 1.0 (sin x)) (+ (* 7/360 (pow x 3)) (+ (/ 1 x) (* 1/6 x))) (/ 1 (sin x)) (/ 1 (sin x)) 1.349 * * [simplify]: iteration 0 : 391 enodes (cost 699 ) 1.356 * * [simplify]: iteration 1 : 1433 enodes (cost 625 ) 1.380 * * [simplify]: iteration 2 : 4811 enodes (cost 579 ) 1.436 * * [simplify]: iteration 3 : 5001 enodes (cost 575 ) 1.439 * [simplify]: Simplified to: (pow E (/ (- 1.0 (cos x)) (sin x))) (log (/ (- 1.0 (cos x)) (sin x))) (pow E (/ (- 1.0 (cos x)) (sin x))) (* (cbrt (- (/ 1.0 (sin x)) (* (cos x) (/ 1 (sin x))))) (cbrt (- (/ 1.0 (sin x)) (* (cos x) (/ 1 (sin x)))))) (cbrt (- (/ 1.0 (sin x)) (* (cos x) (/ 1 (sin x))))) (pow (* (/ 1 (sin x)) (- 1.0 (cos x))) 3) (sqrt (- (/ 1.0 (sin x)) (* (cos x) (/ 1 (sin x))))) (sqrt (- (/ 1.0 (sin x)) (* (cos x) (/ 1 (sin x))))) (- 1.0 (cos x)) (- 1.0 (cos x)) (* (sin x) (- 1.0 (cos x))) (* (sin x) (sin x)) (* (sin x) (- 1.0 (cos x))) (* (sin x) (sin x)) (- (pow (/ 1.0 (sin x)) 3) (pow (* (cos x) (/ 1 (sin x))) 3)) (+ (* (/ 1.0 (sin x)) (+ (/ (cos x) (sin x)) (/ 1.0 (sin x)))) (/ (* (/ (cos x) (sin x)) (cos x)) (sin x))) (neg (/ (cos x) (sin x))) (* (/ (- 1.0 (cos x)) (sin x)) (* (/ 1 (sin x)) (+ (cos x) 1.0))) (* (/ 1 (sin x)) (+ (cos x) 1.0)) (- 1.0 (cos x)) (neg (/ (cos x) (sin x))) (/ (cos x) (sin x)) (- (log (cos x)) (log (sin x))) (- (log (cos x)) (log (sin x))) (- (log (cos x)) (log (sin x))) (- (log (cos x)) (log (sin x))) (- (log (cos x)) (log (sin x))) (exp (* (cos x) (/ 1 (sin x)))) (pow (/ (cos x) (sin x)) 3) (pow (/ (cos x) (sin x)) 3) (* (cbrt (* (cos x) (/ 1 (sin x)))) (cbrt (* (cos x) (/ 1 (sin x))))) (cbrt (* (cos x) (/ 1 (sin x)))) (pow (/ (cos x) (sin x)) 3) (sqrt (* (cos x) (/ 1 (sin x)))) (sqrt (* (cos x) (/ 1 (sin x)))) (* (sqrt (cos x)) (sqrt (/ 1 (sin x)))) (* (sqrt (cos x)) (sqrt (/ 1 (sin x)))) (/ (sqrt (cos x)) (sqrt (sin x))) (/ (sqrt (cos x)) (sqrt (sin x))) (/ (sqrt (cos x)) (sqrt (sin x))) (/ (sqrt (cos x)) (sqrt (sin x))) (* (cos x) (* (cbrt (/ 1 (sin x))) (cbrt (/ 1 (sin x))))) (* (cos x) (sqrt (/ 1 (sin x)))) (/ (cos x) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cos x) (sqrt (sin x))) (cos x) (/ (cos x) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cos x) (sqrt (sin x))) (cos x) (/ (cos x) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cos x) (sqrt (sin x))) (cos x) (cos x) (cos x) (/ (cbrt (cos x)) (sin x)) (/ (sqrt (cos x)) (sin x)) (/ (cos x) (sin x)) (cos x) (log (/ 1.0 (sin x))) (log (/ 1.0 (sin x))) (exp (/ 1.0 (sin x))) (pow (/ 1.0 (sin x)) 3) (* (cbrt (/ 1.0 (sin x))) (cbrt (/ 1.0 (sin x)))) (cbrt (/ 1.0 (sin x))) (pow (/ 1.0 (sin x)) 3) (sqrt (/ 1.0 (sin x))) (sqrt (/ 1.0 (sin x))) (neg 1.0) (neg (sin x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt 1.0) (cbrt (sin x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sin x))) (/ (cbrt 1.0) (sqrt (sin x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sin x)) (/ (sqrt 1.0) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt 1.0) (cbrt (sin x))) (/ (sqrt 1.0) (sqrt (sin x))) (/ (sqrt 1.0) (sqrt (sin x))) (sqrt 1.0) (/ (sqrt 1.0) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1.0 (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ 1.0 (sqrt (sin x))) 1 (/ 1.0 (sin x)) (/ 1 (sin x)) (/ (sin x) 1.0) (/ 1.0 (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1.0 (sqrt (sin x))) 1.0 (/ (sin x) (cbrt 1.0)) (/ (sin x) (sqrt 1.0)) (/ (sin x) 1.0) -1 (log (/ 1 (sin x))) (log (/ 1 (sin x))) (log (/ 1 (sin x))) (log (/ 1 (sin x))) (exp (/ 1 (sin x))) (/ 1 (pow (sin x) 3)) (* (cbrt (/ 1 (sin x))) (cbrt (/ 1 (sin x)))) (cbrt (/ 1 (sin x))) (/ 1 (pow (sin x) 3)) (sqrt (/ 1 (sin x))) (sqrt (/ 1 (sin x))) -1 (neg (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) (+ (* 0.04166666666666667 (pow x 3)) (+ (* 0.004166666666666667 (pow x 5)) (* 0.5 x))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) (- (/ 1 x) (+ (* 1/45 (pow x 3)) (* 1/3 x))) (/ (cos x) (sin x)) (/ (cos x) (sin x)) (+ (* 0.019444444444444445 (pow x 3)) (+ (* 1.0 (/ 1 x)) (* 0.16666666666666666 x))) (/ 1.0 (sin x)) (/ 1.0 (sin x)) (+ (* 7/360 (pow x 3)) (+ (/ 1 x) (* 1/6 x))) (/ 1 (sin x)) (/ 1 (sin x)) 1.440 * * * [progress]: adding candidates to table 1.622 * [progress]: [Phase 3 of 3] Extracting. 1.622 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # #) 1.624 * * * [regime-changes]: Trying 2 branch expressions: ((/ (- 1.0 (cos x)) (sin x)) x) 1.625 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (sin x)) from (# # # # # # # # # # # # # #) 1.687 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (sin x)) from (# #) 1.708 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # # # #) 1.769 * * * [regime]: Found split indices: #