4.591 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.130 * * * [progress]: [2/2] Setting up program. 0.132 * [progress]: [Phase 2 of 3] Improving. 0.132 * [simplify]: Simplifying using # : (/ (- 1.0 (cos x)) (sin x)) 0.135 * * [simplify]: iteration 0 : 11 enodes (cost 4 ) 0.136 * * [simplify]: iteration 1 : 14 enodes (cost 4 ) 0.137 * * [simplify]: iteration 2 : 16 enodes (cost 4 ) 0.138 * * [simplify]: iteration 3 : 16 enodes (cost 4 ) 0.138 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (sin x)) 0.138 * * [progress]: iteration 1 / 4 0.138 * * * [progress]: picking best candidate 0.140 * * * * [pick]: Picked # 0.140 * * * [progress]: localizing error 0.147 * * * [progress]: generating rewritten candidates 0.147 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.151 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.159 * * * [progress]: generating series expansions 0.159 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.159 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.159 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.159 * [taylor]: Taking taylor expansion of 1.0 in x 0.159 * [taylor]: Taking taylor expansion of (cos x) in x 0.159 * [taylor]: Taking taylor expansion of x in x 0.159 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.159 * [taylor]: Taking taylor expansion of 1.0 in x 0.159 * [taylor]: Taking taylor expansion of (cos x) in x 0.159 * [taylor]: Taking taylor expansion of x in x 0.176 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.176 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.176 * [taylor]: Taking taylor expansion of 1.0 in x 0.176 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.176 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.176 * [taylor]: Taking taylor expansion of x in x 0.176 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.176 * [taylor]: Taking taylor expansion of 1.0 in x 0.176 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.176 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.176 * [taylor]: Taking taylor expansion of x in x 0.179 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.179 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.179 * [taylor]: Taking taylor expansion of 1.0 in x 0.179 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.179 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.179 * [taylor]: Taking taylor expansion of -1 in x 0.179 * [taylor]: Taking taylor expansion of x in x 0.180 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.180 * [taylor]: Taking taylor expansion of 1.0 in x 0.180 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.180 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.180 * [taylor]: Taking taylor expansion of -1 in x 0.180 * [taylor]: Taking taylor expansion of x in x 0.183 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.183 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 0.183 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.183 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.183 * [taylor]: Taking taylor expansion of 1.0 in x 0.183 * [taylor]: Taking taylor expansion of (cos x) in x 0.183 * [taylor]: Taking taylor expansion of x in x 0.183 * [taylor]: Taking taylor expansion of (sin x) in x 0.183 * [taylor]: Taking taylor expansion of x in x 0.186 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.186 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.186 * [taylor]: Taking taylor expansion of 1.0 in x 0.186 * [taylor]: Taking taylor expansion of (cos x) in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.186 * [taylor]: Taking taylor expansion of (sin x) in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.204 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 0.204 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.204 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.204 * [taylor]: Taking taylor expansion of 1.0 in x 0.204 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.204 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.204 * [taylor]: Taking taylor expansion of x in x 0.204 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.204 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.204 * [taylor]: Taking taylor expansion of x in x 0.205 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.205 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.205 * [taylor]: Taking taylor expansion of 1.0 in x 0.205 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.205 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.205 * [taylor]: Taking taylor expansion of x in x 0.205 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.205 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.205 * [taylor]: Taking taylor expansion of x in x 0.210 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 0.211 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.211 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.211 * [taylor]: Taking taylor expansion of 1.0 in x 0.211 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.211 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.211 * [taylor]: Taking taylor expansion of -1 in x 0.211 * [taylor]: Taking taylor expansion of x in x 0.211 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.211 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.211 * [taylor]: Taking taylor expansion of -1 in x 0.211 * [taylor]: Taking taylor expansion of x in x 0.211 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.212 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.212 * [taylor]: Taking taylor expansion of 1.0 in x 0.212 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.212 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.212 * [taylor]: Taking taylor expansion of -1 in x 0.212 * [taylor]: Taking taylor expansion of x in x 0.212 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.212 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.212 * [taylor]: Taking taylor expansion of -1 in x 0.212 * [taylor]: Taking taylor expansion of x in x 0.217 * * * [progress]: simplifying candidates 0.218 * [simplify]: Simplifying using # : (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (- (log (- 1.0 (cos x))) (log (sin x))) (log (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin x))) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* (sin x) (sin x)) (sin x))) (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x)))) (cbrt (/ (- 1.0 (cos x)) (sin x))) (* (* (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x))) (/ (- 1.0 (cos x)) (sin x))) (sqrt (/ (- 1.0 (cos x)) (sin x))) (sqrt (/ (- 1.0 (cos x)) (sin x))) (- (- 1.0 (cos x))) (- (sin x)) (/ 1.0 (sin x)) (/ (cos x) (sin x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (sin x))) (/ (cbrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1) (/ (cbrt (- 1.0 (cos x))) (sin x)) (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) 1) (/ (sqrt (- 1.0 (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ 1 1) (/ (- 1.0 (cos x)) (sin x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) 1) (/ (- (sqrt 1.0) (sqrt (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ 1 1) (/ (- 1.0 (cos x)) (sin x)) (/ 1 (sin x)) (/ (sin x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ (- 1.0 (cos x)) 1) (/ (sin x) (cbrt (- 1.0 (cos x)))) (/ (sin x) (sqrt (- 1.0 (cos x)))) (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (sin x) (- 1.0 (cos x))) (* (sin x) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (* (sin x) (+ 1.0 (cos x))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) 0.223 * * [simplify]: iteration 0 : 233 enodes (cost 396 ) 0.227 * * [simplify]: iteration 1 : 673 enodes (cost 373 ) 0.240 * * [simplify]: iteration 2 : 2654 enodes (cost 373 ) 0.297 * * [simplify]: iteration 3 : 5001 enodes (cost 373 ) 0.300 * [simplify]: Simplified to: (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (log (/ (- 1.0 (cos x)) (sin x))) (log (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin x))) (pow (/ (- 1.0 (cos x)) (sin x)) 3) (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x)))) (cbrt (/ (- 1.0 (cos x)) (sin x))) (pow (/ (- 1.0 (cos x)) (sin x)) 3) (sqrt (/ (- 1.0 (cos x)) (sin x))) (sqrt (/ (- 1.0 (cos x)) (sin x))) (- (- 1.0 (cos x))) (- (sin x)) (/ 1.0 (sin x)) (/ (cos x) (sin x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (sin x))) (/ (cbrt (- 1.0 (cos x))) (sqrt (sin x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (/ (cbrt (- 1.0 (cos x))) (sin x)) (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) 1 (/ (- 1.0 (cos x)) (sin x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (+ (sqrt 1.0) (sqrt (cos x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) 1 (/ (- 1.0 (cos x)) (sin x)) (/ 1 (sin x)) (/ (sin x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (- 1.0 (cos x)) (/ (sin x) (cbrt (- 1.0 (cos x)))) (/ (sin x) (sqrt (- 1.0 (cos x)))) (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (sin x) (- 1.0 (cos x))) (* (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (sin x)) (* (sin x) (+ 1.0 (cos x))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) 0.300 * * * [progress]: adding candidates to table 0.429 * * [progress]: iteration 2 / 4 0.429 * * * [progress]: picking best candidate 0.455 * * * * [pick]: Picked # 0.455 * * * [progress]: localizing error 0.465 * * * [progress]: generating rewritten candidates 0.466 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.472 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 0.477 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.487 * * * [progress]: generating series expansions 0.487 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.487 * [approximate]: Taking taylor expansion of (* 1/24 (pow x 3)) in (x) around 0 0.487 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 3)) in x 0.487 * [taylor]: Taking taylor expansion of 1/24 in x 0.487 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.487 * [taylor]: Taking taylor expansion of x in x 0.487 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 3)) in x 0.487 * [taylor]: Taking taylor expansion of 1/24 in x 0.487 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.487 * [taylor]: Taking taylor expansion of x in x 0.499 * [approximate]: Taking taylor expansion of (/ 1/24 (pow x 3)) in (x) around 0 0.499 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 3)) in x 0.499 * [taylor]: Taking taylor expansion of 1/24 in x 0.499 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.499 * [taylor]: Taking taylor expansion of x in x 0.500 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 3)) in x 0.500 * [taylor]: Taking taylor expansion of 1/24 in x 0.500 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.500 * [taylor]: Taking taylor expansion of x in x 0.511 * [approximate]: Taking taylor expansion of (/ -1/24 (pow x 3)) in (x) around 0 0.511 * [taylor]: Taking taylor expansion of (/ -1/24 (pow x 3)) in x 0.511 * [taylor]: Taking taylor expansion of -1/24 in x 0.511 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.511 * [taylor]: Taking taylor expansion of x in x 0.512 * [taylor]: Taking taylor expansion of (/ -1/24 (pow x 3)) in x 0.512 * [taylor]: Taking taylor expansion of -1/24 in x 0.512 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.512 * [taylor]: Taking taylor expansion of x in x 0.527 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 0.527 * [approximate]: Taking taylor expansion of (* 1/240 (pow x 5)) in (x) around 0 0.527 * [taylor]: Taking taylor expansion of (* 1/240 (pow x 5)) in x 0.527 * [taylor]: Taking taylor expansion of 1/240 in x 0.527 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.527 * [taylor]: Taking taylor expansion of x in x 0.527 * [taylor]: Taking taylor expansion of (* 1/240 (pow x 5)) in x 0.527 * [taylor]: Taking taylor expansion of 1/240 in x 0.527 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.528 * [taylor]: Taking taylor expansion of x in x 0.542 * [approximate]: Taking taylor expansion of (/ 1/240 (pow x 5)) in (x) around 0 0.542 * [taylor]: Taking taylor expansion of (/ 1/240 (pow x 5)) in x 0.542 * [taylor]: Taking taylor expansion of 1/240 in x 0.542 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.542 * [taylor]: Taking taylor expansion of x in x 0.543 * [taylor]: Taking taylor expansion of (/ 1/240 (pow x 5)) in x 0.543 * [taylor]: Taking taylor expansion of 1/240 in x 0.543 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.543 * [taylor]: Taking taylor expansion of x in x 0.557 * [approximate]: Taking taylor expansion of (/ -1/240 (pow x 5)) in (x) around 0 0.557 * [taylor]: Taking taylor expansion of (/ -1/240 (pow x 5)) in x 0.557 * [taylor]: Taking taylor expansion of -1/240 in x 0.557 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.557 * [taylor]: Taking taylor expansion of x in x 0.558 * [taylor]: Taking taylor expansion of (/ -1/240 (pow x 5)) in x 0.558 * [taylor]: Taking taylor expansion of -1/240 in x 0.558 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.558 * [taylor]: Taking taylor expansion of x in x 0.572 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.572 * [approximate]: Taking taylor expansion of (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) in (x) around 0 0.572 * [taylor]: Taking taylor expansion of (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) in x 0.572 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 3)) in x 0.573 * [taylor]: Taking taylor expansion of 1/24 in x 0.573 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.573 * [taylor]: Taking taylor expansion of x in x 0.573 * [taylor]: Taking taylor expansion of (+ (* 1/240 (pow x 5)) (* 1/2 x)) in x 0.573 * [taylor]: Taking taylor expansion of (* 1/240 (pow x 5)) in x 0.573 * [taylor]: Taking taylor expansion of 1/240 in x 0.573 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.573 * [taylor]: Taking taylor expansion of x in x 0.573 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.573 * [taylor]: Taking taylor expansion of 1/2 in x 0.573 * [taylor]: Taking taylor expansion of x in x 0.573 * [taylor]: Taking taylor expansion of (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) in x 0.573 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 3)) in x 0.573 * [taylor]: Taking taylor expansion of 1/24 in x 0.573 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.573 * [taylor]: Taking taylor expansion of x in x 0.573 * [taylor]: Taking taylor expansion of (+ (* 1/240 (pow x 5)) (* 1/2 x)) in x 0.573 * [taylor]: Taking taylor expansion of (* 1/240 (pow x 5)) in x 0.573 * [taylor]: Taking taylor expansion of 1/240 in x 0.573 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.573 * [taylor]: Taking taylor expansion of x in x 0.573 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.573 * [taylor]: Taking taylor expansion of 1/2 in x 0.573 * [taylor]: Taking taylor expansion of x in x 0.583 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 x)) (+ (* 1/240 (/ 1 (pow x 5))) (* 1/24 (/ 1 (pow x 3))))) in (x) around 0 0.583 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 x)) (+ (* 1/240 (/ 1 (pow x 5))) (* 1/24 (/ 1 (pow x 3))))) in x 0.583 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x 0.583 * [taylor]: Taking taylor expansion of 1/2 in x 0.583 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.583 * [taylor]: Taking taylor expansion of x in x 0.583 * [taylor]: Taking taylor expansion of (+ (* 1/240 (/ 1 (pow x 5))) (* 1/24 (/ 1 (pow x 3)))) in x 0.584 * [taylor]: Taking taylor expansion of (* 1/240 (/ 1 (pow x 5))) in x 0.584 * [taylor]: Taking taylor expansion of 1/240 in x 0.584 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 0.584 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.584 * [taylor]: Taking taylor expansion of x in x 0.584 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 3))) in x 0.584 * [taylor]: Taking taylor expansion of 1/24 in x 0.584 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.585 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.585 * [taylor]: Taking taylor expansion of x in x 0.585 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 x)) (+ (* 1/240 (/ 1 (pow x 5))) (* 1/24 (/ 1 (pow x 3))))) in x 0.585 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x 0.585 * [taylor]: Taking taylor expansion of 1/2 in x 0.585 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.585 * [taylor]: Taking taylor expansion of x in x 0.586 * [taylor]: Taking taylor expansion of (+ (* 1/240 (/ 1 (pow x 5))) (* 1/24 (/ 1 (pow x 3)))) in x 0.586 * [taylor]: Taking taylor expansion of (* 1/240 (/ 1 (pow x 5))) in x 0.586 * [taylor]: Taking taylor expansion of 1/240 in x 0.586 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 0.586 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.586 * [taylor]: Taking taylor expansion of x in x 0.586 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 3))) in x 0.587 * [taylor]: Taking taylor expansion of 1/24 in x 0.587 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.587 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.587 * [taylor]: Taking taylor expansion of x in x 0.610 * [approximate]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 x)) (+ (* 1/240 (/ 1 (pow x 5))) (* 1/24 (/ 1 (pow x 3)))))) in (x) around 0 0.610 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 x)) (+ (* 1/240 (/ 1 (pow x 5))) (* 1/24 (/ 1 (pow x 3)))))) in x 0.610 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 x)) (+ (* 1/240 (/ 1 (pow x 5))) (* 1/24 (/ 1 (pow x 3))))) in x 0.610 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x 0.610 * [taylor]: Taking taylor expansion of 1/2 in x 0.610 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.610 * [taylor]: Taking taylor expansion of x in x 0.610 * [taylor]: Taking taylor expansion of (+ (* 1/240 (/ 1 (pow x 5))) (* 1/24 (/ 1 (pow x 3)))) in x 0.610 * [taylor]: Taking taylor expansion of (* 1/240 (/ 1 (pow x 5))) in x 0.610 * [taylor]: Taking taylor expansion of 1/240 in x 0.610 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 0.610 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.610 * [taylor]: Taking taylor expansion of x in x 0.611 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 3))) in x 0.611 * [taylor]: Taking taylor expansion of 1/24 in x 0.611 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.611 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.611 * [taylor]: Taking taylor expansion of x in x 0.612 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 x)) (+ (* 1/240 (/ 1 (pow x 5))) (* 1/24 (/ 1 (pow x 3)))))) in x 0.612 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 x)) (+ (* 1/240 (/ 1 (pow x 5))) (* 1/24 (/ 1 (pow x 3))))) in x 0.612 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x 0.612 * [taylor]: Taking taylor expansion of 1/2 in x 0.612 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.612 * [taylor]: Taking taylor expansion of x in x 0.612 * [taylor]: Taking taylor expansion of (+ (* 1/240 (/ 1 (pow x 5))) (* 1/24 (/ 1 (pow x 3)))) in x 0.612 * [taylor]: Taking taylor expansion of (* 1/240 (/ 1 (pow x 5))) in x 0.612 * [taylor]: Taking taylor expansion of 1/240 in x 0.612 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 0.612 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.612 * [taylor]: Taking taylor expansion of x in x 0.613 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 3))) in x 0.613 * [taylor]: Taking taylor expansion of 1/24 in x 0.613 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.613 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.613 * [taylor]: Taking taylor expansion of x in x 0.631 * * * [progress]: simplifying candidates 0.632 * [simplify]: Simplifying using # : (+ (log 1/24) (* (log x) 3)) (+ (log 1/24) (* (log x) 3)) (+ (log 1/24) (log (pow x 3))) (log (* 1/24 (pow x 3))) (exp (* 1/24 (pow x 3))) (* (* (* 1/24 1/24) 1/24) (* (* (pow x 3) (pow x 3)) (pow x 3))) (* (cbrt (* 1/24 (pow x 3))) (cbrt (* 1/24 (pow x 3)))) (cbrt (* 1/24 (pow x 3))) (* (* (* 1/24 (pow x 3)) (* 1/24 (pow x 3))) (* 1/24 (pow x 3))) (sqrt (* 1/24 (pow x 3))) (sqrt (* 1/24 (pow x 3))) (* (sqrt 1/24) (pow (sqrt x) 3)) (* (sqrt 1/24) (pow (sqrt x) 3)) (* (sqrt 1/24) (pow (sqrt x) 3)) (* (sqrt 1/24) (pow (sqrt x) 3)) (* (sqrt 1/24) (sqrt (pow x 3))) (* (sqrt 1/24) (sqrt (pow x 3))) (* (sqrt 1/24) (pow x (/ 3 2))) (* (sqrt 1/24) (pow x (/ 3 2))) (* 1/24 (pow (* (cbrt x) (cbrt x)) 3)) (* 1/24 (pow (sqrt x) 3)) (* 1/24 (pow 1 3)) (* 1/24 (* x x)) (* 1/24 (* (cbrt (pow x 3)) (cbrt (pow x 3)))) (* 1/24 (pow (* (cbrt x) (cbrt x)) 3)) (* 1/24 (pow (sqrt x) 3)) (* 1/24 (pow 1 3)) (* 1/24 x) (* 1/24 (sqrt (pow x 3))) (* 1/24 1) (* 1/24 (pow x (/ 3 2))) (* (cbrt 1/24) (pow x 3)) (* (sqrt 1/24) (pow x 3)) (* 1/24 (pow x 3)) (+ (log 1/240) (* (log x) 5)) (+ (log 1/240) (* (log x) 5)) (+ (log 1/240) (log (pow x 5))) (log (* 1/240 (pow x 5))) (exp (* 1/240 (pow x 5))) (* (* (* 1/240 1/240) 1/240) (* (* (pow x 5) (pow x 5)) (pow x 5))) (* (cbrt (* 1/240 (pow x 5))) (cbrt (* 1/240 (pow x 5)))) (cbrt (* 1/240 (pow x 5))) (* (* (* 1/240 (pow x 5)) (* 1/240 (pow x 5))) (* 1/240 (pow x 5))) (sqrt (* 1/240 (pow x 5))) (sqrt (* 1/240 (pow x 5))) (* (sqrt 1/240) (pow (sqrt x) 5)) (* (sqrt 1/240) (pow (sqrt x) 5)) (* (sqrt 1/240) (sqrt (pow x 5))) (* (sqrt 1/240) (sqrt (pow x 5))) (* (sqrt 1/240) (pow x (/ 5 2))) (* (sqrt 1/240) (pow x (/ 5 2))) (* 1/240 (pow (* (cbrt x) (cbrt x)) 5)) (* 1/240 (pow (sqrt x) 5)) (* 1/240 (pow 1 5)) (* 1/240 (* (cbrt (pow x 5)) (cbrt (pow x 5)))) (* 1/240 (sqrt (pow x 5))) (* 1/240 1) (* 1/240 (pow x (/ 5 2))) (* (cbrt 1/240) (pow x 5)) (* (sqrt 1/240) (pow x 5)) (* 1/240 (pow x 5)) (* (exp (* 1/24 (pow x 3))) (* (exp (* 1/240 (pow x 5))) (exp (* 1/2 x)))) (* (exp (* 1/24 (pow x 3))) (exp (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (log (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (exp (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (* (cbrt (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (cbrt (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))))) (cbrt (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (* (* (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (sqrt (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (sqrt (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (+ (pow (* 1/24 (pow x 3)) 3) (pow (+ (* 1/240 (pow x 5)) (* 1/2 x)) 3)) (+ (* (* 1/24 (pow x 3)) (* 1/24 (pow x 3))) (- (* (+ (* 1/240 (pow x 5)) (* 1/2 x)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (* (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))))) (- (* (* 1/24 (pow x 3)) (* 1/24 (pow x 3))) (* (+ (* 1/240 (pow x 5)) (* 1/2 x)) (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (- (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (+ (* 1/24 (pow x 3)) (* 1/240 (pow x 5))) (* 1/24 (pow x 3)) (* 1/24 (pow x 3)) (* 1/24 (pow x 3)) (* 1/240 (pow x 5)) (* 1/240 (pow x 5)) (* 1/240 (pow x 5)) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (+ (* 1/2 x) (+ (* 1/24 (pow x 3)) (* 1/240 (pow x 5)))) (+ (* 1/2 x) (+ (* 1/24 (pow x 3)) (* 1/240 (pow x 5)))) 0.637 * * [simplify]: iteration 0 : 301 enodes (cost 375 ) 0.643 * * [simplify]: iteration 1 : 1301 enodes (cost 346 ) 0.674 * * [simplify]: iteration 2 : 5002 enodes (cost 346 ) 0.676 * [simplify]: Simplified to: (log (* 1/24 (pow x 3))) (log (* 1/24 (pow x 3))) (log (* 1/24 (pow x 3))) (log (* 1/24 (pow x 3))) (exp (* 1/24 (pow x 3))) (pow (* 1/24 (pow x 3)) 3) (* (cbrt (* 1/24 (pow x 3))) (cbrt (* 1/24 (pow x 3)))) (cbrt (* 1/24 (pow x 3))) (pow (* 1/24 (pow x 3)) 3) (sqrt (* 1/24 (pow x 3))) (sqrt (* 1/24 (pow x 3))) (* (sqrt 1/24) (pow (sqrt x) 3)) (* (sqrt 1/24) (pow (sqrt x) 3)) (* (sqrt 1/24) (pow (sqrt x) 3)) (* (sqrt 1/24) (pow (sqrt x) 3)) (* (sqrt 1/24) (sqrt (pow x 3))) (* (sqrt 1/24) (sqrt (pow x 3))) (* (sqrt 1/24) (pow x 3/2)) (* (sqrt 1/24) (pow x 3/2)) (* (* 1/24 x) x) (* 1/24 (pow (sqrt x) 3)) 1/24 (* (* 1/24 x) x) (* (* 1/24 x) x) (* (* 1/24 x) x) (* 1/24 (pow (sqrt x) 3)) 1/24 (* 1/24 x) (* 1/24 (sqrt (pow x 3))) 1/24 (* 1/24 (pow x 3/2)) (* (cbrt 1/24) (pow x 3)) (* (sqrt 1/24) (pow x 3)) (* 1/24 (pow x 3)) (log (* 1/240 (pow x 5))) (log (* 1/240 (pow x 5))) (log (* 1/240 (pow x 5))) (log (* 1/240 (pow x 5))) (exp (* 1/240 (pow x 5))) (pow (* 1/240 (pow x 5)) 3) (* (cbrt (* 1/240 (pow x 5))) (cbrt (* 1/240 (pow x 5)))) (cbrt (* 1/240 (pow x 5))) (pow (* 1/240 (pow x 5)) 3) (sqrt (* 1/240 (pow x 5))) (sqrt (* 1/240 (pow x 5))) (* (sqrt 1/240) (pow (sqrt x) 5)) (* (sqrt 1/240) (pow (sqrt x) 5)) (* (sqrt 1/240) (sqrt (pow x 5))) (* (sqrt 1/240) (sqrt (pow x 5))) (* (sqrt 1/240) (pow x 5/2)) (* (sqrt 1/240) (pow x 5/2)) (* 1/240 (pow (* (cbrt x) (cbrt x)) 5)) (* 1/240 (pow (sqrt x) 5)) 1/240 (* 1/240 (* (cbrt (pow x 5)) (cbrt (pow x 5)))) (* 1/240 (sqrt (pow x 5))) 1/240 (* 1/240 (pow x 5/2)) (* (cbrt 1/240) (pow x 5)) (* (sqrt 1/240) (pow x 5)) (* 1/240 (pow x 5)) (exp (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (exp (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (log (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (exp (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (* (cbrt (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (cbrt (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))))) (cbrt (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (pow (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) 3) (sqrt (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (sqrt (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (+ (pow (* 1/24 (pow x 3)) 3) (pow (+ (* 1/240 (pow x 5)) (* 1/2 x)) 3)) (+ (* (+ (* 1/240 (pow x 5)) (* 1/2 x)) (- (+ (* 1/240 (pow x 5)) (* 1/2 x)) (* 1/24 (pow x 3)))) (* 1/576 (* (pow x 3) (pow x 3)))) (+ (- (* (+ (* 1/240 (pow x 5)) (* 1/2 x)) (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (* (pow x 6) 1/576)) (- (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (+ (* 1/24 (pow x 3)) (* 1/240 (pow x 5))) (* 1/24 (pow x 3)) (* 1/24 (pow x 3)) (* 1/24 (pow x 3)) (* 1/240 (pow x 5)) (* 1/240 (pow x 5)) (* 1/240 (pow x 5)) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) 0.677 * * * [progress]: adding candidates to table 0.840 * * [progress]: iteration 3 / 4 0.840 * * * [progress]: picking best candidate 0.861 * * * * [pick]: Picked # 0.861 * * * [progress]: localizing error 0.869 * * * [progress]: generating rewritten candidates 0.869 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 2) 0.873 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.879 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.897 * * * [progress]: generating series expansions 0.897 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 2) 0.897 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.897 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.897 * [taylor]: Taking taylor expansion of 1.0 in x 0.897 * [taylor]: Taking taylor expansion of (cos x) in x 0.897 * [taylor]: Taking taylor expansion of x in x 0.897 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.897 * [taylor]: Taking taylor expansion of 1.0 in x 0.897 * [taylor]: Taking taylor expansion of (cos x) in x 0.897 * [taylor]: Taking taylor expansion of x in x 0.912 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.912 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.912 * [taylor]: Taking taylor expansion of 1.0 in x 0.912 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.912 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.912 * [taylor]: Taking taylor expansion of x in x 0.912 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.913 * [taylor]: Taking taylor expansion of 1.0 in x 0.913 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.913 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.913 * [taylor]: Taking taylor expansion of x in x 0.916 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.916 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.916 * [taylor]: Taking taylor expansion of 1.0 in x 0.916 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.916 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.916 * [taylor]: Taking taylor expansion of -1 in x 0.916 * [taylor]: Taking taylor expansion of x in x 0.916 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.916 * [taylor]: Taking taylor expansion of 1.0 in x 0.916 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.916 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.916 * [taylor]: Taking taylor expansion of -1 in x 0.916 * [taylor]: Taking taylor expansion of x in x 0.920 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.920 * [approximate]: Taking taylor expansion of (/ (sin x) (- 1.0 (cos x))) in (x) around 0 0.920 * [taylor]: Taking taylor expansion of (/ (sin x) (- 1.0 (cos x))) in x 0.920 * [taylor]: Taking taylor expansion of (sin x) in x 0.920 * [taylor]: Taking taylor expansion of x in x 0.920 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.920 * [taylor]: Taking taylor expansion of 1.0 in x 0.920 * [taylor]: Taking taylor expansion of (cos x) in x 0.920 * [taylor]: Taking taylor expansion of x in x 0.923 * [taylor]: Taking taylor expansion of (/ (sin x) (- 1.0 (cos x))) in x 0.923 * [taylor]: Taking taylor expansion of (sin x) in x 0.923 * [taylor]: Taking taylor expansion of x in x 0.923 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.923 * [taylor]: Taking taylor expansion of 1.0 in x 0.923 * [taylor]: Taking taylor expansion of (cos x) in x 0.923 * [taylor]: Taking taylor expansion of x in x 0.941 * [approximate]: Taking taylor expansion of (/ (sin (/ 1 x)) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.941 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (- 1.0 (cos (/ 1 x)))) in x 0.941 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.941 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.941 * [taylor]: Taking taylor expansion of x in x 0.941 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.941 * [taylor]: Taking taylor expansion of 1.0 in x 0.941 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.941 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.941 * [taylor]: Taking taylor expansion of x in x 0.942 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (- 1.0 (cos (/ 1 x)))) in x 0.942 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.942 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.942 * [taylor]: Taking taylor expansion of x in x 0.942 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.942 * [taylor]: Taking taylor expansion of 1.0 in x 0.942 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.942 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.942 * [taylor]: Taking taylor expansion of x in x 0.948 * [approximate]: Taking taylor expansion of (/ (sin (/ -1 x)) (- 1.0 (cos (/ -1 x)))) in (x) around 0 0.948 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (- 1.0 (cos (/ -1 x)))) in x 0.948 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.948 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.948 * [taylor]: Taking taylor expansion of -1 in x 0.948 * [taylor]: Taking taylor expansion of x in x 0.948 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.948 * [taylor]: Taking taylor expansion of 1.0 in x 0.948 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.948 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.948 * [taylor]: Taking taylor expansion of -1 in x 0.948 * [taylor]: Taking taylor expansion of x in x 0.949 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (- 1.0 (cos (/ -1 x)))) in x 0.949 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.949 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.949 * [taylor]: Taking taylor expansion of -1 in x 0.949 * [taylor]: Taking taylor expansion of x in x 0.949 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.949 * [taylor]: Taking taylor expansion of 1.0 in x 0.949 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.949 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.949 * [taylor]: Taking taylor expansion of -1 in x 0.949 * [taylor]: Taking taylor expansion of x in x 0.955 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.955 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 0.955 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.955 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.955 * [taylor]: Taking taylor expansion of 1.0 in x 0.955 * [taylor]: Taking taylor expansion of (cos x) in x 0.955 * [taylor]: Taking taylor expansion of x in x 0.955 * [taylor]: Taking taylor expansion of (sin x) in x 0.955 * [taylor]: Taking taylor expansion of x in x 0.958 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.958 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.958 * [taylor]: Taking taylor expansion of 1.0 in x 0.958 * [taylor]: Taking taylor expansion of (cos x) in x 0.958 * [taylor]: Taking taylor expansion of x in x 0.958 * [taylor]: Taking taylor expansion of (sin x) in x 0.958 * [taylor]: Taking taylor expansion of x in x 0.976 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 0.976 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.976 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.976 * [taylor]: Taking taylor expansion of 1.0 in x 0.976 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.976 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.976 * [taylor]: Taking taylor expansion of x in x 0.976 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.976 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.976 * [taylor]: Taking taylor expansion of x in x 0.977 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.977 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.977 * [taylor]: Taking taylor expansion of 1.0 in x 0.977 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.977 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.977 * [taylor]: Taking taylor expansion of x in x 0.977 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.977 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.977 * [taylor]: Taking taylor expansion of x in x 0.982 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 0.982 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.982 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.983 * [taylor]: Taking taylor expansion of 1.0 in x 0.983 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.983 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.983 * [taylor]: Taking taylor expansion of -1 in x 0.983 * [taylor]: Taking taylor expansion of x in x 0.983 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.983 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.983 * [taylor]: Taking taylor expansion of -1 in x 0.983 * [taylor]: Taking taylor expansion of x in x 0.983 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.983 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.983 * [taylor]: Taking taylor expansion of 1.0 in x 0.984 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.984 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.984 * [taylor]: Taking taylor expansion of -1 in x 0.984 * [taylor]: Taking taylor expansion of x in x 0.984 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.984 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.984 * [taylor]: Taking taylor expansion of -1 in x 0.984 * [taylor]: Taking taylor expansion of x in x 0.989 * * * [progress]: simplifying candidates 0.997 * [simplify]: Simplifying using # : (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (- (log (sin x)) (log (- 1.0 (cos x)))) (log (/ (sin x) (- 1.0 (cos x)))) (exp (/ (sin x) (- 1.0 (cos x)))) (/ (* (* (sin x) (sin x)) (sin x)) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x)))) (* (cbrt (/ (sin x) (- 1.0 (cos x)))) (cbrt (/ (sin x) (- 1.0 (cos x))))) (cbrt (/ (sin x) (- 1.0 (cos x)))) (* (* (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (- 1.0 (cos x)))) (/ (sin x) (- 1.0 (cos x)))) (sqrt (/ (sin x) (- 1.0 (cos x)))) (sqrt (/ (sin x) (- 1.0 (cos x)))) (- (sin x)) (- (- 1.0 (cos x))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (/ (cbrt (sin x)) (cbrt (- 1.0 (cos x)))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (- 1.0 (cos x)))) (/ (cbrt (sin x)) (sqrt (- 1.0 (cos x)))) (/ (* (cbrt (sin x)) (cbrt (sin x))) 1) (/ (cbrt (sin x)) (- 1.0 (cos x))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (+ (sqrt 1.0) (sqrt (cos x)))) (/ (cbrt (sin x)) (- (sqrt 1.0) (sqrt (cos x)))) (/ (* (cbrt (sin x)) (cbrt (sin x))) 1) (/ (cbrt (sin x)) (- 1.0 (cos x))) (/ (sqrt (sin x)) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (/ (sqrt (sin x)) (cbrt (- 1.0 (cos x)))) (/ (sqrt (sin x)) (sqrt (- 1.0 (cos x)))) (/ (sqrt (sin x)) (sqrt (- 1.0 (cos x)))) (/ (sqrt (sin x)) 1) (/ (sqrt (sin x)) (- 1.0 (cos x))) (/ (sqrt (sin x)) (+ (sqrt 1.0) (sqrt (cos x)))) (/ (sqrt (sin x)) (- (sqrt 1.0) (sqrt (cos x)))) (/ (sqrt (sin x)) 1) (/ (sqrt (sin x)) (- 1.0 (cos x))) (/ 1 (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (/ (sin x) (cbrt (- 1.0 (cos x)))) (/ 1 (sqrt (- 1.0 (cos x)))) (/ (sin x) (sqrt (- 1.0 (cos x)))) (/ 1 1) (/ (sin x) (- 1.0 (cos x))) (/ 1 (+ (sqrt 1.0) (sqrt (cos x)))) (/ (sin x) (- (sqrt 1.0) (sqrt (cos x)))) (/ 1 1) (/ (sin x) (- 1.0 (cos x))) (/ 1 (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (sin x)) (/ (sin x) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (/ (sin x) (sqrt (- 1.0 (cos x)))) (/ (sin x) 1) (/ (sin x) (+ (sqrt 1.0) (sqrt (cos x)))) (/ (sin x) 1) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ (- 1.0 (cos x)) (sin x)) (/ (sin x) (- (pow 1.0 3) (pow (cos x) 3))) (/ (sin x) (- (* 1.0 1.0) (* (cos x) (cos x)))) (- 1) (- (- (log (sin x)) (log (- 1.0 (cos x))))) (- (log (/ (sin x) (- 1.0 (cos x))))) (- 0 (- (log (sin x)) (log (- 1.0 (cos x))))) (- 0 (log (/ (sin x) (- 1.0 (cos x))))) (- (log 1) (- (log (sin x)) (log (- 1.0 (cos x))))) (- (log 1) (log (/ (sin x) (- 1.0 (cos x))))) (log (/ 1 (/ (sin x) (- 1.0 (cos x))))) (exp (/ 1 (/ (sin x) (- 1.0 (cos x))))) (/ (* (* 1 1) 1) (/ (* (* (sin x) (sin x)) (sin x)) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))))) (/ (* (* 1 1) 1) (* (* (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (- 1.0 (cos x)))) (/ (sin x) (- 1.0 (cos x))))) (* (cbrt (/ 1 (/ (sin x) (- 1.0 (cos x))))) (cbrt (/ 1 (/ (sin x) (- 1.0 (cos x)))))) (cbrt (/ 1 (/ (sin x) (- 1.0 (cos x))))) (* (* (/ 1 (/ (sin x) (- 1.0 (cos x)))) (/ 1 (/ (sin x) (- 1.0 (cos x))))) (/ 1 (/ (sin x) (- 1.0 (cos x))))) (sqrt (/ 1 (/ (sin x) (- 1.0 (cos x))))) (sqrt (/ 1 (/ (sin x) (- 1.0 (cos x))))) (- 1) (- (/ (sin x) (- 1.0 (cos x)))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (sin x) (- 1.0 (cos x)))) (cbrt (/ (sin x) (- 1.0 (cos x)))))) (/ (cbrt 1) (cbrt (/ (sin x) (- 1.0 (cos x))))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (sin x) (- 1.0 (cos x))))) (/ (cbrt 1) (sqrt (/ (sin x) (- 1.0 (cos x))))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (/ (cbrt 1) (/ (cbrt (sin x)) (cbrt (- 1.0 (cos x))))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (- 1.0 (cos x))))) (/ (cbrt 1) (/ (cbrt (sin x)) (sqrt (- 1.0 (cos x))))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sin x)) (cbrt (sin x))) 1)) (/ (cbrt 1) (/ (cbrt (sin x)) (- 1.0 (cos x)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sin x)) (cbrt (sin x))) (+ (sqrt 1.0) (sqrt (cos x))))) (/ (cbrt 1) (/ (cbrt (sin x)) (- (sqrt 1.0) (sqrt (cos x))))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sin x)) (cbrt (sin x))) 1)) (/ (cbrt 1) (/ (cbrt (sin x)) (- 1.0 (cos x)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sin x)) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (/ (cbrt 1) (/ (sqrt (sin x)) (cbrt (- 1.0 (cos x))))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sin x)) (sqrt (- 1.0 (cos x))))) (/ (cbrt 1) (/ (sqrt (sin x)) (sqrt (- 1.0 (cos x))))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sin x)) 1)) (/ (cbrt 1) (/ (sqrt (sin x)) (- 1.0 (cos x)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sin x)) (+ (sqrt 1.0) (sqrt (cos x))))) (/ (cbrt 1) (/ (sqrt (sin x)) (- (sqrt 1.0) (sqrt (cos x))))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sin x)) 1)) (/ (cbrt 1) (/ (sqrt (sin x)) (- 1.0 (cos x)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (/ (cbrt 1) (/ (sin x) (cbrt (- 1.0 (cos x))))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt (- 1.0 (cos x))))) (/ (cbrt 1) (/ (sin x) (sqrt (- 1.0 (cos x))))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (sin x) (- 1.0 (cos x)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (+ (sqrt 1.0) (sqrt (cos x))))) (/ (cbrt 1) (/ (sin x) (- (sqrt 1.0) (sqrt (cos x))))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (sin x) (- 1.0 (cos x)))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (sin x) (- 1.0 (cos x)))) (/ (* (cbrt 1) (cbrt 1)) (sin x)) (/ (cbrt 1) (/ 1 (- 1.0 (cos x)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sin x) (- (pow 1.0 3) (pow (cos x) 3)))) (/ (cbrt 1) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (/ (* (cbrt 1) (cbrt 1)) (/ (sin x) (- (* 1.0 1.0) (* (cos x) (cos x))))) (/ (cbrt 1) (+ 1.0 (cos x))) (/ (sqrt 1) (* (cbrt (/ (sin x) (- 1.0 (cos x)))) (cbrt (/ (sin x) (- 1.0 (cos x)))))) (/ (sqrt 1) (cbrt (/ (sin x) (- 1.0 (cos x))))) (/ (sqrt 1) (sqrt (/ (sin x) (- 1.0 (cos x))))) (/ (sqrt 1) (sqrt (/ (sin x) (- 1.0 (cos x))))) (/ (sqrt 1) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (/ (sqrt 1) (/ (cbrt (sin x)) (cbrt (- 1.0 (cos x))))) (/ (sqrt 1) (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (- 1.0 (cos x))))) (/ (sqrt 1) (/ (cbrt (sin x)) (sqrt (- 1.0 (cos x))))) (/ (sqrt 1) (/ (* (cbrt (sin x)) (cbrt (sin x))) 1)) (/ (sqrt 1) (/ (cbrt (sin x)) (- 1.0 (cos x)))) (/ (sqrt 1) (/ (* (cbrt (sin x)) (cbrt (sin x))) (+ (sqrt 1.0) (sqrt (cos x))))) (/ (sqrt 1) (/ (cbrt (sin x)) (- (sqrt 1.0) (sqrt (cos x))))) (/ (sqrt 1) (/ (* (cbrt (sin x)) (cbrt (sin x))) 1)) (/ (sqrt 1) (/ (cbrt (sin x)) (- 1.0 (cos x)))) (/ (sqrt 1) (/ (sqrt (sin x)) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (/ (sqrt 1) (/ (sqrt (sin x)) (cbrt (- 1.0 (cos x))))) (/ (sqrt 1) (/ (sqrt (sin x)) (sqrt (- 1.0 (cos x))))) (/ (sqrt 1) (/ (sqrt (sin x)) (sqrt (- 1.0 (cos x))))) (/ (sqrt 1) (/ (sqrt (sin x)) 1)) (/ (sqrt 1) (/ (sqrt (sin x)) (- 1.0 (cos x)))) (/ (sqrt 1) (/ (sqrt (sin x)) (+ (sqrt 1.0) (sqrt (cos x))))) (/ (sqrt 1) (/ (sqrt (sin x)) (- (sqrt 1.0) (sqrt (cos x))))) (/ (sqrt 1) (/ (sqrt (sin x)) 1)) (/ (sqrt 1) (/ (sqrt (sin x)) (- 1.0 (cos x)))) (/ (sqrt 1) (/ 1 (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (/ (sqrt 1) (/ (sin x) (cbrt (- 1.0 (cos x))))) (/ (sqrt 1) (/ 1 (sqrt (- 1.0 (cos x))))) (/ (sqrt 1) (/ (sin x) (sqrt (- 1.0 (cos x))))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (sin x) (- 1.0 (cos x)))) (/ (sqrt 1) (/ 1 (+ (sqrt 1.0) (sqrt (cos x))))) (/ (sqrt 1) (/ (sin x) (- (sqrt 1.0) (sqrt (cos x))))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (sin x) (- 1.0 (cos x)))) (/ (sqrt 1) 1) (/ (sqrt 1) (/ (sin x) (- 1.0 (cos x)))) (/ (sqrt 1) (sin x)) (/ (sqrt 1) (/ 1 (- 1.0 (cos x)))) (/ (sqrt 1) (/ (sin x) (- (pow 1.0 3) (pow (cos x) 3)))) (/ (sqrt 1) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (/ (sqrt 1) (/ (sin x) (- (* 1.0 1.0) (* (cos x) (cos x))))) (/ (sqrt 1) (+ 1.0 (cos x))) (/ 1 (* (cbrt (/ (sin x) (- 1.0 (cos x)))) (cbrt (/ (sin x) (- 1.0 (cos x)))))) (/ 1 (cbrt (/ (sin x) (- 1.0 (cos x))))) (/ 1 (sqrt (/ (sin x) (- 1.0 (cos x))))) (/ 1 (sqrt (/ (sin x) (- 1.0 (cos x))))) (/ 1 (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (/ 1 (/ (cbrt (sin x)) (cbrt (- 1.0 (cos x))))) (/ 1 (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (- 1.0 (cos x))))) (/ 1 (/ (cbrt (sin x)) (sqrt (- 1.0 (cos x))))) (/ 1 (/ (* (cbrt (sin x)) (cbrt (sin x))) 1)) (/ 1 (/ (cbrt (sin x)) (- 1.0 (cos x)))) (/ 1 (/ (* (cbrt (sin x)) (cbrt (sin x))) (+ (sqrt 1.0) (sqrt (cos x))))) (/ 1 (/ (cbrt (sin x)) (- (sqrt 1.0) (sqrt (cos x))))) (/ 1 (/ (* (cbrt (sin x)) (cbrt (sin x))) 1)) (/ 1 (/ (cbrt (sin x)) (- 1.0 (cos x)))) (/ 1 (/ (sqrt (sin x)) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (/ 1 (/ (sqrt (sin x)) (cbrt (- 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)) (/ 1 (/ (sqrt (sin x)) (- 1.0 (cos x)))) (/ 1 (/ (sqrt (sin x)) (+ (sqrt 1.0) (sqrt (cos x))))) (/ 1 (/ (sqrt (sin x)) (- (sqrt 1.0) (sqrt (cos x))))) (/ 1 (/ (sqrt (sin x)) 1)) (/ 1 (/ (sqrt (sin x)) (- 1.0 (cos x)))) (/ 1 (/ 1 (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (/ 1 (/ (sin x) (cbrt (- 1.0 (cos x))))) (/ 1 (/ 1 (sqrt (- 1.0 (cos x))))) (/ 1 (/ (sin x) (sqrt (- 1.0 (cos x))))) (/ 1 (/ 1 1)) (/ 1 (/ (sin x) (- 1.0 (cos x)))) (/ 1 (/ 1 (+ (sqrt 1.0) (sqrt (cos x))))) (/ 1 (/ (sin x) (- (sqrt 1.0) (sqrt (cos x))))) (/ 1 (/ 1 1)) (/ 1 (/ (sin x) (- 1.0 (cos x)))) (/ 1 1) (/ 1 (/ (sin x) (- 1.0 (cos x)))) (/ 1 (sin x)) (/ 1 (/ 1 (- 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))))) (/ 1 (/ (sin x) (- (* 1.0 1.0) (* (cos x) (cos x))))) (/ 1 (+ 1.0 (cos x))) (/ 1 (/ (sin x) (- 1.0 (cos x)))) (/ (/ (sin x) (- 1.0 (cos x))) 1) (/ 1 (* (cbrt (/ (sin x) (- 1.0 (cos x)))) (cbrt (/ (sin x) (- 1.0 (cos x)))))) (/ 1 (sqrt (/ (sin x) (- 1.0 (cos x))))) (/ 1 (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (/ 1 (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (- 1.0 (cos x))))) (/ 1 (/ (* (cbrt (sin x)) (cbrt (sin x))) 1)) (/ 1 (/ (* (cbrt (sin x)) (cbrt (sin x))) (+ (sqrt 1.0) (sqrt (cos x))))) (/ 1 (/ (* (cbrt (sin x)) (cbrt (sin x))) 1)) (/ 1 (/ (sqrt (sin x)) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (/ 1 (/ (sqrt (sin x)) (sqrt (- 1.0 (cos x))))) (/ 1 (/ (sqrt (sin x)) 1)) (/ 1 (/ (sqrt (sin x)) (+ (sqrt 1.0) (sqrt (cos x))))) (/ 1 (/ (sqrt (sin x)) 1)) (/ 1 (/ 1 (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (/ 1 (/ 1 (sqrt (- 1.0 (cos x))))) (/ 1 (/ 1 1)) (/ 1 (/ 1 (+ (sqrt 1.0) (sqrt (cos x))))) (/ 1 (/ 1 1)) (/ 1 1) (/ 1 (sin x)) (/ 1 (/ (sin x) (- (pow 1.0 3) (pow (cos x) 3)))) (/ 1 (/ (sin x) (- (* 1.0 1.0) (* (cos x) (cos x))))) (/ (/ (sin x) (- 1.0 (cos x))) (cbrt 1)) (/ (/ (sin x) (- 1.0 (cos x))) (sqrt 1)) (/ (/ (sin x) (- 1.0 (cos x))) 1) (/ 1 (sin x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (* 2 (/ 1 x)) (+ (* 1/360 (pow x 3)) (* 1/6 x))) (/ (sin x) (- 1.0 (cos x))) (/ (sin 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)) 1.006 * * [simplify]: iteration 0 : 510 enodes (cost 1595 ) 1.015 * * [simplify]: iteration 1 : 2396 enodes (cost 1452 ) 1.049 * * [simplify]: iteration 2 : 5002 enodes (cost 1339 ) 1.056 * [simplify]: Simplified to: (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (log (/ (sin x) (- 1.0 (cos x)))) (log (/ (sin x) (- 1.0 (cos x)))) (exp (/ (sin x) (- 1.0 (cos x)))) (pow (/ (sin x) (- 1.0 (cos x))) 3) (* (cbrt (/ (sin x) (- 1.0 (cos x)))) (cbrt (/ (sin x) (- 1.0 (cos x))))) (cbrt (/ (sin x) (- 1.0 (cos x)))) (pow (/ (sin x) (- 1.0 (cos x))) 3) (sqrt (/ (sin x) (- 1.0 (cos x)))) (sqrt (/ (sin x) (- 1.0 (cos x)))) (- (sin x)) (- (- 1.0 (cos x))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (/ (cbrt (sin x)) (cbrt (- 1.0 (cos x)))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (- 1.0 (cos x)))) (/ (cbrt (sin x)) (sqrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x))) (/ (cbrt (sin x)) (- 1.0 (cos x))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (+ (sqrt 1.0) (sqrt (cos x)))) (/ (cbrt (sin x)) (- (sqrt 1.0) (sqrt (cos 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(/ (- 1.0 (cos x)) (sqrt (sin x))) (/ (- 1.0 (cos x)) (sin x)) (/ (sin x) (- (pow 1.0 3) (pow (cos x) 3))) (/ (sin x) (- (* 1.0 1.0) (* (cos x) (cos x)))) (- 1) (log (/ 1 (/ (sin x) (- 1.0 (cos x))))) (log (/ 1 (/ (sin x) (- 1.0 (cos x))))) (log (/ 1 (/ (sin x) (- 1.0 (cos x))))) (log (/ 1 (/ (sin x) (- 1.0 (cos x))))) (log (/ 1 (/ (sin x) (- 1.0 (cos x))))) (log (/ 1 (/ (sin x) (- 1.0 (cos x))))) (log (/ 1 (/ (sin x) (- 1.0 (cos x))))) (exp (/ 1 (/ (sin x) (- 1.0 (cos x))))) (/ 1 (pow (/ (sin x) (- 1.0 (cos x))) 3)) (/ 1 (pow (/ (sin x) (- 1.0 (cos x))) 3)) (* (cbrt (/ 1 (/ (sin x) (- 1.0 (cos x))))) (cbrt (/ 1 (/ (sin x) (- 1.0 (cos x)))))) (cbrt (/ 1 (/ (sin x) (- 1.0 (cos x))))) (/ 1 (pow (/ (sin x) (- 1.0 (cos x))) 3)) (sqrt (/ 1 (/ (sin x) (- 1.0 (cos x))))) (sqrt (/ 1 (/ (sin x) (- 1.0 (cos x))))) (- 1) (- (/ (sin x) (- 1.0 (cos x)))) (/ (/ 1 (cbrt (/ (sin x) (- 1.0 (cos x))))) (cbrt (/ (sin x) (- 1.0 (cos x))))) (/ 1 (cbrt (/ (sin x) (- 1.0 (cos x))))) (/ 1 (sqrt (/ (sin x) (- 1.0 (cos x))))) (/ 1 (sqrt (/ (sin x) (- 1.0 (cos 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))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (- 1.0 (cos x))) (cbrt (sin x))) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1 (/ (cbrt (sin x)) (- (sqrt 1.0) (sqrt (cos x))))) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 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))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (/ 1 (/ (sqrt (sin x)) (- (sqrt 1.0) (sqrt (cos x))))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (/ 1 (/ (sin x) (cbrt (- 1.0 (cos x))))) (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) (sin x)) 1 (/ (- 1.0 (cos x)) (sin x)) (+ (sqrt 1.0) (sqrt (cos x))) (/ 1 (/ (sin x) (- (sqrt 1.0) (sqrt (cos x))))) 1 (/ (- 1.0 (cos x)) (sin x)) 1 (/ (- 1.0 (cos x)) (sin x)) (/ 1 (sin x)) (- 1.0 (cos x)) (/ 1 (/ (sin x) (- (pow 1.0 3) (pow (cos x) 3)))) (/ 1 (/ (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) 1)) (/ 1 (/ (sin x) (- (* 1.0 1.0) (* (cos x) (cos x))))) (/ 1 (+ 1.0 (cos x))) (/ (/ 1 (cbrt (/ (sin x) (- 1.0 (cos x))))) (cbrt (/ (sin x) (- 1.0 (cos x))))) (/ 1 (cbrt (/ (sin x) (- 1.0 (cos x))))) (/ 1 (sqrt (/ (sin x) (- 1.0 (cos x))))) (/ 1 (sqrt (/ (sin x) (- 1.0 (cos 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))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (- 1.0 (cos x))) (cbrt (sin x))) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1 (/ (cbrt (sin x)) (- (sqrt 1.0) (sqrt (cos x))))) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 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))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (/ 1 (/ (sqrt (sin x)) (- (sqrt 1.0) (sqrt (cos x))))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (/ 1 (/ (sin x) (cbrt (- 1.0 (cos x))))) (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) (sin x)) 1 (/ (- 1.0 (cos x)) (sin x)) (+ (sqrt 1.0) (sqrt (cos x))) (/ 1 (/ (sin x) (- (sqrt 1.0) (sqrt (cos x))))) 1 (/ (- 1.0 (cos x)) (sin x)) 1 (/ (- 1.0 (cos x)) (sin x)) (/ 1 (sin x)) (- 1.0 (cos x)) (/ 1 (/ (sin x) (- (pow 1.0 3) (pow (cos x) 3)))) (/ 1 (/ (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) 1)) (/ 1 (/ (sin x) (- (* 1.0 1.0) (* (cos x) (cos x))))) (/ 1 (+ 1.0 (cos x))) (/ (/ 1 (cbrt (/ (sin x) (- 1.0 (cos x))))) (cbrt (/ (sin x) (- 1.0 (cos x))))) (/ 1 (cbrt (/ (sin x) (- 1.0 (cos x))))) (/ 1 (sqrt (/ (sin x) (- 1.0 (cos x))))) (/ 1 (sqrt (/ (sin x) (- 1.0 (cos 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))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (- 1.0 (cos x))) (cbrt (sin x))) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1 (/ (cbrt (sin x)) (- (sqrt 1.0) (sqrt (cos x))))) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 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))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (/ 1 (/ (sqrt (sin x)) (- (sqrt 1.0) (sqrt (cos x))))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (/ 1 (/ (sin x) (cbrt (- 1.0 (cos x))))) (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) (sin x)) 1 (/ (- 1.0 (cos x)) (sin x)) (+ (sqrt 1.0) (sqrt (cos x))) (/ 1 (/ (sin x) (- (sqrt 1.0) (sqrt (cos x))))) 1 (/ (- 1.0 (cos x)) (sin x)) 1 (/ (- 1.0 (cos x)) (sin x)) (/ 1 (sin x)) (- 1.0 (cos x)) (/ 1 (/ (sin x) (- (pow 1.0 3) (pow (cos x) 3)))) (/ 1 (/ (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) 1)) (/ 1 (/ (sin x) (- (* 1.0 1.0) (* (cos x) (cos x))))) (/ 1 (+ 1.0 (cos x))) (/ (- 1.0 (cos x)) (sin x)) (/ (sin x) (- 1.0 (cos x))) (/ (/ 1 (cbrt (/ (sin x) (- 1.0 (cos x))))) (cbrt (/ (sin x) (- 1.0 (cos x))))) (/ 1 (sqrt (/ (sin x) (- 1.0 (cos x))))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ 1 (sqrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (/ 1 (sqrt (sin x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (- 1.0 (cos x))) 1 (+ (sqrt 1.0) (sqrt (cos x))) 1 1 (/ 1 (sin x)) (/ 1 (/ (sin x) (- (pow 1.0 3) (pow (cos x) 3)))) (/ 1 (/ (sin x) (- (* 1.0 1.0) (* (cos x) (cos x))))) (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (- 1.0 (cos x))) (/ 1 (sin x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (- (/ 2 x) (* 1/6 x)) (* 1/360 (pow x 3))) (/ (sin x) (- 1.0 (cos x))) (/ (sin 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)) 1.057 * * * [progress]: adding candidates to table 1.297 * * [progress]: iteration 4 / 4 1.297 * * * [progress]: picking best candidate 1.326 * * * * [pick]: Picked # 1.327 * * * [progress]: localizing error 1.336 * * * [progress]: generating rewritten candidates 1.336 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 1.340 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.356 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.362 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.401 * * * [progress]: generating series expansions 1.401 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 1.401 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.401 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.401 * [taylor]: Taking taylor expansion of 1.0 in x 1.401 * [taylor]: Taking taylor expansion of (cos x) in x 1.401 * [taylor]: Taking taylor expansion of x in x 1.401 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.401 * [taylor]: Taking taylor expansion of 1.0 in x 1.401 * [taylor]: Taking taylor expansion of (cos x) in x 1.401 * [taylor]: Taking taylor expansion of x in x 1.411 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.411 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.411 * [taylor]: Taking taylor expansion of 1.0 in x 1.411 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.411 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.411 * [taylor]: Taking taylor expansion of x in x 1.412 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.412 * [taylor]: Taking taylor expansion of 1.0 in x 1.412 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.412 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.412 * [taylor]: Taking taylor expansion of x in x 1.415 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.415 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.415 * [taylor]: Taking taylor expansion of 1.0 in x 1.415 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.415 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.415 * [taylor]: Taking taylor expansion of -1 in x 1.415 * [taylor]: Taking taylor expansion of x in x 1.415 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.415 * [taylor]: Taking taylor expansion of 1.0 in x 1.415 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.415 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.415 * [taylor]: Taking taylor expansion of -1 in x 1.415 * [taylor]: Taking taylor expansion of x in x 1.419 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.419 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 1.419 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.419 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.419 * [taylor]: Taking taylor expansion of 1.0 in x 1.419 * [taylor]: Taking taylor expansion of (cos x) in x 1.419 * [taylor]: Taking taylor expansion of x in x 1.419 * [taylor]: Taking taylor expansion of (sin x) in x 1.419 * [taylor]: Taking taylor expansion of x in x 1.422 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.422 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.422 * [taylor]: Taking taylor expansion of 1.0 in x 1.422 * [taylor]: Taking taylor expansion of (cos x) in x 1.422 * [taylor]: Taking taylor expansion of x in x 1.422 * [taylor]: Taking taylor expansion of (sin x) in x 1.422 * [taylor]: Taking taylor expansion of x in x 1.440 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 1.440 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.440 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.440 * [taylor]: Taking taylor expansion of 1.0 in x 1.440 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.440 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.440 * [taylor]: Taking taylor expansion of x in x 1.440 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.440 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.440 * [taylor]: Taking taylor expansion of x in x 1.441 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.441 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.441 * [taylor]: Taking taylor expansion of 1.0 in x 1.441 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.441 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.441 * [taylor]: Taking taylor expansion of x in x 1.441 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.441 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.441 * [taylor]: Taking taylor expansion of x in x 1.446 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 1.446 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.446 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.446 * [taylor]: Taking taylor expansion of 1.0 in x 1.446 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.446 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.446 * [taylor]: Taking taylor expansion of -1 in x 1.446 * [taylor]: Taking taylor expansion of x in x 1.447 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.447 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.447 * [taylor]: Taking taylor expansion of -1 in x 1.447 * [taylor]: Taking taylor expansion of x in x 1.447 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.447 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.447 * [taylor]: Taking taylor expansion of 1.0 in x 1.447 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.447 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.447 * [taylor]: Taking taylor expansion of -1 in x 1.448 * [taylor]: Taking taylor expansion of x in x 1.448 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.448 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.448 * [taylor]: Taking taylor expansion of -1 in x 1.448 * [taylor]: Taking taylor expansion of x in x 1.453 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.453 * [approximate]: Taking taylor expansion of (/ 1 (- 1.0 (cos x))) in (x) around 0 1.453 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (cos x))) in x 1.453 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.453 * [taylor]: Taking taylor expansion of 1.0 in x 1.453 * [taylor]: Taking taylor expansion of (cos x) in x 1.453 * [taylor]: Taking taylor expansion of x in x 1.456 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (cos x))) in x 1.456 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.456 * [taylor]: Taking taylor expansion of 1.0 in x 1.456 * [taylor]: Taking taylor expansion of (cos x) in x 1.456 * [taylor]: Taking taylor expansion of x in x 1.476 * [approximate]: Taking taylor expansion of (/ 1 (- 1.0 (cos (/ 1 x)))) in (x) around 0 1.476 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (cos (/ 1 x)))) in x 1.476 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.476 * [taylor]: Taking taylor expansion of 1.0 in x 1.476 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.476 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.476 * [taylor]: Taking taylor expansion of x in x 1.476 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (cos (/ 1 x)))) in x 1.476 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.476 * [taylor]: Taking taylor expansion of 1.0 in x 1.476 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.476 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.476 * [taylor]: Taking taylor expansion of x in x 1.481 * [approximate]: Taking taylor expansion of (/ 1 (- 1.0 (cos (/ -1 x)))) in (x) around 0 1.481 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (cos (/ -1 x)))) in x 1.482 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.482 * [taylor]: Taking taylor expansion of 1.0 in x 1.482 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.482 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.482 * [taylor]: Taking taylor expansion of -1 in x 1.482 * [taylor]: Taking taylor expansion of x in x 1.482 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (cos (/ -1 x)))) in x 1.482 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.482 * [taylor]: Taking taylor expansion of 1.0 in x 1.482 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.482 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.482 * [taylor]: Taking taylor expansion of -1 in x 1.482 * [taylor]: Taking taylor expansion of x in x 1.487 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.487 * [approximate]: Taking taylor expansion of (/ 1 (sin x)) in (x) around 0 1.487 * [taylor]: Taking taylor expansion of (/ 1 (sin x)) in x 1.487 * [taylor]: Taking taylor expansion of (sin x) in x 1.487 * [taylor]: Taking taylor expansion of x in x 1.488 * [taylor]: Taking taylor expansion of (/ 1 (sin x)) in x 1.488 * [taylor]: Taking taylor expansion of (sin x) in x 1.488 * [taylor]: Taking taylor expansion of x in x 1.495 * [approximate]: Taking taylor expansion of (/ 1 (sin (/ 1 x))) in (x) around 0 1.495 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ 1 x))) in x 1.495 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.495 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.495 * [taylor]: Taking taylor expansion of x in x 1.496 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ 1 x))) in x 1.496 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.496 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.496 * [taylor]: Taking taylor expansion of x in x 1.497 * [approximate]: Taking taylor expansion of (/ 1 (sin (/ -1 x))) in (x) around 0 1.497 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ -1 x))) in x 1.498 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.498 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.498 * [taylor]: Taking taylor expansion of -1 in x 1.498 * [taylor]: Taking taylor expansion of x in x 1.498 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ -1 x))) in x 1.498 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.498 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.498 * [taylor]: Taking taylor expansion of -1 in x 1.498 * [taylor]: Taking taylor expansion of x in x 1.500 * * * [progress]: simplifying candidates 1.507 * [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 (- 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(* (cos x) (cos x)))) (- 1) (log (/ 1 (sin x))) (log (/ 1 (sin x))) (log (/ 1 (sin x))) (log (/ 1 (sin x))) (exp (/ 1 (sin x))) (pow (/ 1 (sin x)) 3) (* (cbrt (/ 1 (sin x))) (cbrt (/ 1 (sin x)))) (cbrt (/ 1 (sin x))) (pow (/ 1 (sin x)) 3) (sqrt (/ 1 (sin x))) (sqrt (/ 1 (sin x))) (- 1) (- (sin x)) (/ (* (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)) (/ (cbrt 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) (cbrt 1)) (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)) (+ (+ 1/6 (/ 2 (pow x 2))) (* 1/120 (pow x 2))) (/ 1 (- 1.0 (cos x))) (/ 1 (- 1.0 (cos x))) (+ (* 7/360 (pow x 3)) (+ (/ 1 x) (* 1/6 x))) (/ 1 (sin x)) (/ 1 (sin x)) 1.587 * * * [progress]: adding candidates to table 2.171 * [progress]: [Phase 3 of 3] Extracting. 2.171 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # #) 2.173 * * * [regime-changes]: Trying 2 branch expressions: ((/ (- 1.0 (cos x)) (sin x)) x) 2.173 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (sin x)) from (# # # # # # # # # # # # #) 2.230 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # # #) 2.287 * * * [regime]: Found split indices: #