16.143 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.056 * * * [progress]: [2/2] Setting up program. 0.059 * [progress]: [Phase 2 of 3] Improving. 0.059 * [simplify]: Simplifying using # : (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x)) 0.062 * * [simplify]: iteration 0 : 20 enodes (cost 9 ) 0.064 * * [simplify]: iteration 1 : 43 enodes (cost 9 ) 0.066 * * [simplify]: iteration 2 : 93 enodes (cost 9 ) 0.069 * * [simplify]: iteration 3 : 174 enodes (cost 9 ) 0.073 * * [simplify]: iteration 4 : 269 enodes (cost 9 ) 0.078 * * [simplify]: iteration 5 : 288 enodes (cost 9 ) 0.082 * * [simplify]: iteration 6 : 288 enodes (cost 9 ) 0.082 * [simplify]: Simplified to: (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x)) 0.083 * * [progress]: iteration 1 / 4 0.083 * * * [progress]: picking best candidate 0.085 * * * * [pick]: Picked # 0.085 * * * [progress]: localizing error 0.097 * * * [progress]: generating rewritten candidates 0.098 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.109 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.114 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.130 * * * [progress]: generating series expansions 0.130 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.131 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in (x) around 0 0.131 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.131 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.131 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 0.132 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.132 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.132 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.132 * [taylor]: Taking taylor expansion of 0.5 in x 0.132 * [taylor]: Taking taylor expansion of x in x 0.135 * [taylor]: Taking taylor expansion of (sin x) in x 0.135 * [taylor]: Taking taylor expansion of x in x 0.136 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.137 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.137 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 0.137 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.137 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.137 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.137 * [taylor]: Taking taylor expansion of 0.5 in x 0.137 * [taylor]: Taking taylor expansion of x in x 0.140 * [taylor]: Taking taylor expansion of (sin x) in x 0.140 * [taylor]: Taking taylor expansion of x in x 0.183 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in (x) around 0 0.183 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 0.183 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.183 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 0.183 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.183 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.183 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.183 * [taylor]: Taking taylor expansion of 0.5 in x 0.183 * [taylor]: Taking taylor expansion of x in x 0.184 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.184 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.184 * [taylor]: Taking taylor expansion of x in x 0.185 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 0.185 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.185 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 0.185 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.185 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.185 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.185 * [taylor]: Taking taylor expansion of 0.5 in x 0.185 * [taylor]: Taking taylor expansion of x in x 0.185 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.185 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.185 * [taylor]: Taking taylor expansion of x in x 0.202 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in (x) around 0 0.202 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.202 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.202 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 0.202 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.202 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.202 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.203 * [taylor]: Taking taylor expansion of -0.5 in x 0.203 * [taylor]: Taking taylor expansion of x in x 0.203 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.203 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.203 * [taylor]: Taking taylor expansion of -1 in x 0.203 * [taylor]: Taking taylor expansion of x in x 0.204 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.204 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.204 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 0.204 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.204 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.204 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.204 * [taylor]: Taking taylor expansion of -0.5 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 -1 in x 0.204 * [taylor]: Taking taylor expansion of x in x 0.221 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.221 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in (x) around 0 0.222 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 0.222 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.222 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.222 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.222 * [taylor]: Taking taylor expansion of 0.5 in x 0.222 * [taylor]: Taking taylor expansion of x in x 0.223 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 0.223 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.223 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.223 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.223 * [taylor]: Taking taylor expansion of 0.5 in x 0.223 * [taylor]: Taking taylor expansion of x in x 0.253 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in (x) around 0 0.253 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 0.253 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.253 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.253 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.253 * [taylor]: Taking taylor expansion of 0.5 in x 0.253 * [taylor]: Taking taylor expansion of x in x 0.254 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 0.254 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.254 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.254 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.254 * [taylor]: Taking taylor expansion of 0.5 in x 0.254 * [taylor]: Taking taylor expansion of x in x 0.261 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in (x) around 0 0.261 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 0.261 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.261 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.261 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.261 * [taylor]: Taking taylor expansion of -0.5 in x 0.261 * [taylor]: Taking taylor expansion of x in x 0.262 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 0.262 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.262 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.262 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.262 * [taylor]: Taking taylor expansion of -0.5 in x 0.262 * [taylor]: Taking taylor expansion of x in x 0.269 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.269 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (* 0.5 x)) 2)) in (x) around 0 0.269 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (* 0.5 x)) 2)) in x 0.269 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.269 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.269 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.269 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.269 * [taylor]: Taking taylor expansion of 0.5 in x 0.269 * [taylor]: Taking taylor expansion of x in x 0.272 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (* 0.5 x)) 2)) in x 0.272 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.273 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.273 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.273 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.273 * [taylor]: Taking taylor expansion of 0.5 in x 0.273 * [taylor]: Taking taylor expansion of x in x 0.304 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ 0.5 x)) 2)) in (x) around 0 0.304 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ 0.5 x)) 2)) in x 0.304 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.304 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.305 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.305 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.305 * [taylor]: Taking taylor expansion of 0.5 in x 0.305 * [taylor]: Taking taylor expansion of x in x 0.305 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ 0.5 x)) 2)) in x 0.305 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.305 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.305 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.305 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.305 * [taylor]: Taking taylor expansion of 0.5 in x 0.305 * [taylor]: Taking taylor expansion of x in x 0.318 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ -0.5 x)) 2)) in (x) around 0 0.318 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ -0.5 x)) 2)) in x 0.318 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.318 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.318 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.318 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.318 * [taylor]: Taking taylor expansion of -0.5 in x 0.318 * [taylor]: Taking taylor expansion of x in x 0.318 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ -0.5 x)) 2)) in x 0.318 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.318 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.318 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.318 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.318 * [taylor]: Taking taylor expansion of -0.5 in x 0.318 * [taylor]: Taking taylor expansion of x in x 0.335 * * * [progress]: simplifying candidates 0.336 * [simplify]: Simplifying using # : (- (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))) (- (sin x)) (/ 1 (sin x)) (/ (sin x) (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))) (/ (sin x) (sin (* x 0.5))) (/ (sin x) (* (sin (* x 0.5)) (sin (* x 0.5)))) (/ (sin x) (* (* (/ 1 3.0) (sin (* x 0.5))) (sin (* x 0.5)))) (/ (sin x) (* (/ 8.0 3.0) (sin (* x 0.5)))) (/ (sin x) (* (/ 8.0 3.0) (sin (* x 0.5)))) (* (sin x) 3.0) (* (sin x) (- 3.0)) (* (sin x) (/ 3.0 8.0)) (* (/ 1 3.0) (sin (* x 0.5))) (* 8.0 (sin (* x 0.5))) (* (- 8.0) (sin (* x 0.5))) (* 1 (sin (* x 0.5))) (* (sin (* x 0.5)) (sin (* x 0.5))) (* (* (/ 1 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (* (/ 8.0 3.0) (sin (* x 0.5))) (* (* 8.0 (sin (* x 0.5))) (sin (* x 0.5))) (* (* (- 8.0) (sin (* x 0.5))) (sin (* x 0.5))) (* (* 1 (sin (* x 0.5))) (sin (* x 0.5))) (+ (* 0.05555555555555555 (pow x 3)) (+ (* 0.005555555555555554 (pow x 5)) (* 0.6666666666666666 x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (- (+ (* 1.3333333333333333 x) (* 0.0006944444444444444 (pow x 5))) (* 0.05555555555555555 (pow x 3))) (* 2.6666666666666665 (sin (* 0.5 x))) (* 2.6666666666666665 (sin (* 0.5 x))) (- (+ (* 0.6666666666666666 (pow x 2)) (* 0.0018518518518518515 (pow x 6))) (* 0.05555555555555555 (pow x 4))) (* 2.6666666666666665 (pow (sin (* 0.5 x)) 2)) (* 2.6666666666666665 (pow (sin (* 0.5 x)) 2)) 0.340 * * [simplify]: iteration 0 : 158 enodes (cost 147 ) 0.345 * * [simplify]: iteration 1 : 554 enodes (cost 132 ) 0.359 * * [simplify]: iteration 2 : 2212 enodes (cost 131 ) 0.412 * * [simplify]: iteration 3 : 5002 enodes (cost 131 ) 0.414 * [simplify]: Simplified to: (* (- (/ 8.0 3.0)) (pow (sin (* 0.5 x)) 2)) (- (sin x)) (/ 1 (sin x)) (/ (/ (sin x) (/ 8.0 3.0)) (pow (sin (* 0.5 x)) 2)) (/ (sin x) (sin (* x 0.5))) (/ (sin x) (pow (sin (* 0.5 x)) 2)) (/ (sin x) (/ (pow (sin (* 0.5 x)) 2) 3.0)) (/ (sin x) (* (/ 8.0 3.0) (sin (* x 0.5)))) (/ (sin x) (* (/ 8.0 3.0) (sin (* x 0.5)))) (* (sin x) 3.0) (* (sin x) (- 3.0)) (* (sin x) (/ 3.0 8.0)) (/ (sin (* x 0.5)) 3.0) (* 8.0 (sin (* x 0.5))) (* (- 8.0) (sin (* x 0.5))) (sin (* x 0.5)) (pow (sin (* 0.5 x)) 2) (/ (pow (sin (* 0.5 x)) 2) 3.0) (* (/ 8.0 3.0) (sin (* x 0.5))) (* (pow (sin (* 0.5 x)) 2) 8.0) (- (* 8.0 (pow (sin (* 0.5 x)) 2))) (pow (sin (* 0.5 x)) 2) (fma 0.05555555555555555 (pow x 3) (fma 0.005555555555555554 (pow x 5) (* 0.6666666666666666 x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (fma x 1.3333333333333333 (- (* 0.0006944444444444444 (pow x 5)) (* 0.05555555555555555 (pow x 3)))) (* 2.6666666666666665 (sin (* 0.5 x))) (* 2.6666666666666665 (sin (* 0.5 x))) (fma (pow x 2) 0.6666666666666666 (- (* 0.0018518518518518515 (pow x 6)) (* 0.05555555555555555 (pow x 4)))) (* 2.6666666666666665 (pow (sin (* 0.5 x)) 2)) (* 2.6666666666666665 (pow (sin (* 0.5 x)) 2)) 0.414 * * * [progress]: adding candidates to table 0.497 * * [progress]: iteration 2 / 4 0.497 * * * [progress]: picking best candidate 0.513 * * * * [pick]: Picked # 0.513 * * * [progress]: localizing error 0.525 * * * [progress]: generating rewritten candidates 0.525 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.530 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.533 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.543 * * * [progress]: generating series expansions 0.543 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.544 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in (x) around 0 0.544 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 0.544 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.544 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.544 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.544 * [taylor]: Taking taylor expansion of 0.5 in x 0.544 * [taylor]: Taking taylor expansion of x in x 0.545 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 0.545 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.545 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.545 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.546 * [taylor]: Taking taylor expansion of 0.5 in x 0.546 * [taylor]: Taking taylor expansion of x in x 0.572 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in (x) around 0 0.572 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 0.572 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.572 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.572 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.572 * [taylor]: Taking taylor expansion of 0.5 in x 0.573 * [taylor]: Taking taylor expansion of x in x 0.573 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 0.573 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.573 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.573 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.573 * [taylor]: Taking taylor expansion of 0.5 in x 0.573 * [taylor]: Taking taylor expansion of x in x 0.580 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in (x) around 0 0.580 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 0.580 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.580 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.580 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.580 * [taylor]: Taking taylor expansion of -0.5 in x 0.580 * [taylor]: Taking taylor expansion of x in x 0.580 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 0.580 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.580 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.580 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.580 * [taylor]: Taking taylor expansion of -0.5 in x 0.581 * [taylor]: Taking taylor expansion of x in x 0.587 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.587 * [approximate]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in (x) around 0 0.587 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 0.587 * [taylor]: Taking taylor expansion of (sin x) in x 0.587 * [taylor]: Taking taylor expansion of x in x 0.587 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.587 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.587 * [taylor]: Taking taylor expansion of 0.5 in x 0.587 * [taylor]: Taking taylor expansion of x in x 0.590 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 0.590 * [taylor]: Taking taylor expansion of (sin x) in x 0.590 * [taylor]: Taking taylor expansion of x in x 0.590 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.590 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.591 * [taylor]: Taking taylor expansion of 0.5 in x 0.591 * [taylor]: Taking taylor expansion of x in x 0.620 * [approximate]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in (x) around 0 0.621 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 0.621 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.621 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.621 * [taylor]: Taking taylor expansion of x in x 0.621 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.621 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.621 * [taylor]: Taking taylor expansion of 0.5 in x 0.621 * [taylor]: Taking taylor expansion of x in x 0.622 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 0.622 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.622 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.622 * [taylor]: Taking taylor expansion of x in x 0.622 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.622 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.622 * [taylor]: Taking taylor expansion of 0.5 in x 0.622 * [taylor]: Taking taylor expansion of x in x 0.625 * [approximate]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in (x) around 0 0.625 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 0.625 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.625 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.625 * [taylor]: Taking taylor expansion of -1 in x 0.625 * [taylor]: Taking taylor expansion of x in x 0.625 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.625 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.625 * [taylor]: Taking taylor expansion of -0.5 in x 0.625 * [taylor]: Taking taylor expansion of x in x 0.626 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 0.626 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.626 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.626 * [taylor]: Taking taylor expansion of -1 in x 0.626 * [taylor]: Taking taylor expansion of x in x 0.626 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.626 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.626 * [taylor]: Taking taylor expansion of -0.5 in x 0.626 * [taylor]: Taking taylor expansion of x in x 0.629 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.629 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in (x) around 0 0.629 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.630 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.630 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 0.630 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.630 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.630 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.630 * [taylor]: Taking taylor expansion of 0.5 in x 0.630 * [taylor]: Taking taylor expansion of x in x 0.633 * [taylor]: Taking taylor expansion of (sin x) in x 0.633 * [taylor]: Taking taylor expansion of x in x 0.634 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.634 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.634 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 0.634 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.634 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.634 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.634 * [taylor]: Taking taylor expansion of 0.5 in x 0.634 * [taylor]: Taking taylor expansion of x in x 0.637 * [taylor]: Taking taylor expansion of (sin x) in x 0.637 * [taylor]: Taking taylor expansion of x in x 0.680 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in (x) around 0 0.680 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 0.680 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.680 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 0.680 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.680 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.680 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.680 * [taylor]: Taking taylor expansion of 0.5 in x 0.680 * [taylor]: Taking taylor expansion of x in x 0.680 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.680 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.680 * [taylor]: Taking taylor expansion of x in x 0.681 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 0.681 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.681 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 0.681 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.681 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.681 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.681 * [taylor]: Taking taylor expansion of 0.5 in x 0.681 * [taylor]: Taking taylor expansion of x in x 0.682 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.682 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.682 * [taylor]: Taking taylor expansion of x in x 0.696 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in (x) around 0 0.696 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.696 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.696 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 0.696 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.696 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.696 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.696 * [taylor]: Taking taylor expansion of -0.5 in x 0.696 * [taylor]: Taking taylor expansion of x in x 0.697 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.697 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.697 * [taylor]: Taking taylor expansion of -1 in x 0.697 * [taylor]: Taking taylor expansion of x in x 0.697 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.697 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.697 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 0.697 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.697 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.697 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.697 * [taylor]: Taking taylor expansion of -0.5 in x 0.697 * [taylor]: Taking taylor expansion of x in x 0.698 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.698 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.698 * [taylor]: Taking taylor expansion of -1 in x 0.698 * [taylor]: Taking taylor expansion of x in x 0.712 * * * [progress]: simplifying candidates 0.712 * [simplify]: Simplifying using # : (* (/ 1 3.0) (sin (* x 0.5))) (* 8.0 (sin (* x 0.5))) (* (- 8.0) (sin (* x 0.5))) (* 1 (sin (* x 0.5))) (- (sin x)) (- (sin (* x 0.5))) (/ 1 (sin (* x 0.5))) (/ (sin (* x 0.5)) (sin x)) (- (* (/ 8.0 3.0) (sin (* x 0.5)))) (- (/ (sin x) (sin (* x 0.5)))) (/ (/ 8.0 3.0) (sin x)) (/ (sin (* x 0.5)) (/ 1 (sin (* x 0.5)))) (/ 8.0 (sin x)) (/ (* (/ 1 3.0) (sin (* x 0.5))) (/ 1 (sin (* x 0.5)))) (/ (sin (* x 0.5)) (sin x)) (/ (/ 8.0 3.0) (/ 1 (sin (* x 0.5)))) (/ 1 (/ (sin x) (sin (* x 0.5)))) (/ (/ (sin x) (sin (* x 0.5))) (* (/ 8.0 3.0) (sin (* x 0.5)))) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (sin x)) (/ (/ (sin x) (sin (* x 0.5))) (sin (* x 0.5))) (/ (/ (sin x) (sin (* x 0.5))) (* (/ 1 3.0) (sin (* x 0.5)))) (/ (/ (sin x) (sin (* x 0.5))) (/ 8.0 3.0)) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (sin x)) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (- (sin x))) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) 1) (* (/ (sin x) (sin (* x 0.5))) 3.0) (* (/ (sin x) (sin (* x 0.5))) (- 3.0)) (* (/ (sin x) (sin (* x 0.5))) (/ 3.0 8.0)) (- (+ (* 1.3333333333333333 x) (* 0.0006944444444444444 (pow x 5))) (* 0.05555555555555555 (pow x 3))) (* 2.6666666666666665 (sin (* 0.5 x))) (* 2.6666666666666665 (sin (* 0.5 x))) (- (+ (* 0.005208333333333334 (pow x 4)) 2.0) (* 0.25 (pow x 2))) (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x))) (+ (* 0.05555555555555555 (pow x 3)) (+ (* 0.005555555555555554 (pow x 5)) (* 0.6666666666666666 x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) 0.716 * * [simplify]: iteration 0 : 176 enodes (cost 179 ) 0.721 * * [simplify]: iteration 1 : 671 enodes (cost 168 ) 0.739 * * [simplify]: iteration 2 : 3653 enodes (cost 164 ) 0.830 * * [simplify]: iteration 3 : 5001 enodes (cost 164 ) 0.831 * [simplify]: Simplified to: (/ (sin (* x 0.5)) 3.0) (* 8.0 (sin (* x 0.5))) (* (- 8.0) (sin (* x 0.5))) (sin (* x 0.5)) (- (sin x)) (- (sin (* x 0.5))) (/ 1 (sin (* x 0.5))) (/ (sin (* x 0.5)) (sin x)) (- (* (/ 8.0 3.0) (sin (* x 0.5)))) (- (/ (sin x) (sin (* x 0.5)))) (/ (/ 8.0 3.0) (sin x)) (pow (sin (* 0.5 x)) 2) (/ 8.0 (sin x)) (/ (pow (sin (* 0.5 x)) 2) 3.0) (/ (sin (* x 0.5)) (sin x)) (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* x 0.5)) (sin x)) (/ (sin x) (* (/ 8.0 3.0) (pow (sin (* 0.5 x)) 2))) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (sin x)) (/ (sin x) (pow (sin (* 0.5 x)) 2)) (/ (* (sin x) 3.0) (pow (sin (* 0.5 x)) 2)) (* (/ (sin x) (sin (* x 0.5))) (/ 3.0 8.0)) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (sin x)) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (- (sin x))) (* (/ 8.0 3.0) (sin (* x 0.5))) (* (/ (sin x) (sin (* x 0.5))) 3.0) (* (/ (sin x) (sin (* x 0.5))) (- 3.0)) (* (/ (sin x) (sin (* x 0.5))) (/ 3.0 8.0)) (fma x 1.3333333333333333 (- (* 0.0006944444444444444 (pow x 5)) (* 0.05555555555555555 (pow x 3)))) (* 2.6666666666666665 (sin (* 0.5 x))) (* 2.6666666666666665 (sin (* 0.5 x))) (fma (pow x 4) 0.005208333333333334 (- 2.0 (* 0.25 (pow x 2)))) (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x))) (fma 0.05555555555555555 (pow x 3) (fma 0.005555555555555554 (pow x 5) (* 0.6666666666666666 x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) 0.831 * * * [progress]: adding candidates to table 0.922 * * [progress]: iteration 3 / 4 0.922 * * * [progress]: picking best candidate 0.942 * * * * [pick]: Picked # 0.942 * * * [progress]: localizing error 0.953 * * * [progress]: generating rewritten candidates 0.953 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1) 0.958 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.967 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.972 * * * [progress]: generating series expansions 0.972 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1) 0.972 * [approximate]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in (x) around 0 0.972 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 0.972 * [taylor]: Taking taylor expansion of (sin x) in x 0.972 * [taylor]: Taking taylor expansion of x in x 0.972 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.972 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.972 * [taylor]: Taking taylor expansion of 0.5 in x 0.973 * [taylor]: Taking taylor expansion of x in x 0.977 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 0.977 * [taylor]: Taking taylor expansion of (sin x) in x 0.977 * [taylor]: Taking taylor expansion of x in x 0.977 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.977 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.977 * [taylor]: Taking taylor expansion of 0.5 in x 0.977 * [taylor]: Taking taylor expansion of x in x 1.012 * [approximate]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in (x) around 0 1.012 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 1.012 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.012 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.012 * [taylor]: Taking taylor expansion of x in x 1.012 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.012 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.012 * [taylor]: Taking taylor expansion of 0.5 in x 1.012 * [taylor]: Taking taylor expansion of x in x 1.013 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 1.013 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.013 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.013 * [taylor]: Taking taylor expansion of x in x 1.013 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.013 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.013 * [taylor]: Taking taylor expansion of 0.5 in x 1.013 * [taylor]: Taking taylor expansion of x in x 1.016 * [approximate]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in (x) around 0 1.016 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 1.016 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.016 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.016 * [taylor]: Taking taylor expansion of -1 in x 1.016 * [taylor]: Taking taylor expansion of x in x 1.016 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.016 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.016 * [taylor]: Taking taylor expansion of -0.5 in x 1.016 * [taylor]: Taking taylor expansion of x in x 1.017 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 1.017 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.017 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.017 * [taylor]: Taking taylor expansion of -1 in x 1.017 * [taylor]: Taking taylor expansion of x in x 1.017 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.017 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.017 * [taylor]: Taking taylor expansion of -0.5 in x 1.017 * [taylor]: Taking taylor expansion of x in x 1.020 * * * * [progress]: [ 2 / 3 ] generating series at (2) 1.020 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in (x) around 0 1.020 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 1.020 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.020 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 1.020 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 1.020 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.020 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.020 * [taylor]: Taking taylor expansion of 0.5 in x 1.020 * [taylor]: Taking taylor expansion of x in x 1.023 * [taylor]: Taking taylor expansion of (sin x) in x 1.023 * [taylor]: Taking taylor expansion of x in x 1.024 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 1.025 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.025 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 1.025 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 1.025 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.025 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.025 * [taylor]: Taking taylor expansion of 0.5 in x 1.025 * [taylor]: Taking taylor expansion of x in x 1.027 * [taylor]: Taking taylor expansion of (sin x) in x 1.027 * [taylor]: Taking taylor expansion of x in x 1.066 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in (x) around 0 1.066 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 1.066 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.066 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 1.066 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 1.066 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.066 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.066 * [taylor]: Taking taylor expansion of 0.5 in x 1.066 * [taylor]: Taking taylor expansion of x in x 1.067 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.067 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.067 * [taylor]: Taking taylor expansion of x in x 1.067 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 1.068 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.068 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 1.068 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 1.068 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.068 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.068 * [taylor]: Taking taylor expansion of 0.5 in x 1.068 * [taylor]: Taking taylor expansion of x in x 1.068 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.068 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.068 * [taylor]: Taking taylor expansion of x in x 1.087 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in (x) around 0 1.087 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 1.087 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.087 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 1.087 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 1.087 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.087 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.087 * [taylor]: Taking taylor expansion of -0.5 in x 1.087 * [taylor]: Taking taylor expansion of x in x 1.088 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.088 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.088 * [taylor]: Taking taylor expansion of -1 in x 1.088 * [taylor]: Taking taylor expansion of x in x 1.088 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 1.088 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.088 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 1.088 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 1.088 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.088 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.088 * [taylor]: Taking taylor expansion of -0.5 in x 1.088 * [taylor]: Taking taylor expansion of x in x 1.089 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.089 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.089 * [taylor]: Taking taylor expansion of -1 in x 1.089 * [taylor]: Taking taylor expansion of x in x 1.103 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 1.103 * [approximate]: Taking taylor expansion of (* 3.0 (/ (sin x) (sin (* 0.5 x)))) in (x) around 0 1.103 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sin x) (sin (* 0.5 x)))) in x 1.103 * [taylor]: Taking taylor expansion of 3.0 in x 1.103 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 1.103 * [taylor]: Taking taylor expansion of (sin x) in x 1.103 * [taylor]: Taking taylor expansion of x in x 1.103 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.103 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.103 * [taylor]: Taking taylor expansion of 0.5 in x 1.103 * [taylor]: Taking taylor expansion of x in x 1.107 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sin x) (sin (* 0.5 x)))) in x 1.107 * [taylor]: Taking taylor expansion of 3.0 in x 1.107 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 1.107 * [taylor]: Taking taylor expansion of (sin x) in x 1.107 * [taylor]: Taking taylor expansion of x in x 1.107 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.107 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.107 * [taylor]: Taking taylor expansion of 0.5 in x 1.107 * [taylor]: Taking taylor expansion of x in x 1.141 * [approximate]: Taking taylor expansion of (* 3.0 (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) in (x) around 0 1.142 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) in x 1.142 * [taylor]: Taking taylor expansion of 3.0 in x 1.142 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 1.142 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.142 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.142 * [taylor]: Taking taylor expansion of x in x 1.142 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.142 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.142 * [taylor]: Taking taylor expansion of 0.5 in x 1.142 * [taylor]: Taking taylor expansion of x in x 1.143 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) in x 1.143 * [taylor]: Taking taylor expansion of 3.0 in x 1.143 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 1.143 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.143 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.143 * [taylor]: Taking taylor expansion of x in x 1.143 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.143 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.143 * [taylor]: Taking taylor expansion of 0.5 in x 1.143 * [taylor]: Taking taylor expansion of x in x 1.152 * [approximate]: Taking taylor expansion of (* 3.0 (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) in (x) around 0 1.152 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) in x 1.152 * [taylor]: Taking taylor expansion of 3.0 in x 1.152 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 1.152 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.152 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.152 * [taylor]: Taking taylor expansion of -1 in x 1.152 * [taylor]: Taking taylor expansion of x in x 1.152 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.152 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.152 * [taylor]: Taking taylor expansion of -0.5 in x 1.152 * [taylor]: Taking taylor expansion of x in x 1.153 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) in x 1.153 * [taylor]: Taking taylor expansion of 3.0 in x 1.153 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 1.153 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.153 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.153 * [taylor]: Taking taylor expansion of -1 in x 1.153 * [taylor]: Taking taylor expansion of x in x 1.153 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.153 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.153 * [taylor]: Taking taylor expansion of -0.5 in x 1.153 * [taylor]: Taking taylor expansion of x in x 1.162 * * * [progress]: simplifying candidates 1.163 * [simplify]: Simplifying using # : (- (sin x)) (- (sin (* x 0.5))) (/ 1 (sin (* x 0.5))) (/ (sin (* x 0.5)) (sin x)) (- (* 8.0 (sin (* x 0.5)))) (- (* (/ (sin x) (sin (* x 0.5))) 3.0)) (/ 8.0 (/ (sin x) (sin (* x 0.5)))) (/ (sin (* x 0.5)) 3.0) (/ 8.0 (sin x)) (/ (sin (* x 0.5)) (* (/ 1 (sin (* x 0.5))) 3.0)) (/ 8.0 3.0) (/ (sin (* x 0.5)) (/ (sin x) (sin (* x 0.5)))) (/ (sin (* x 0.5)) (/ (sin x) (sin (* x 0.5)))) (/ 8.0 3.0) (/ (sin (* x 0.5)) (sin x)) (/ 8.0 (* (/ 1 (sin (* x 0.5))) 3.0)) (/ (sin (* x 0.5)) 3.0) (/ 8.0 (/ (sin x) (sin (* x 0.5)))) (/ 1 (* (/ (sin x) (sin (* x 0.5))) 3.0)) (/ (* (/ (sin x) (sin (* x 0.5))) 3.0) (* 8.0 (sin (* x 0.5)))) (/ (* 8.0 (sin (* x 0.5))) (/ (sin x) (sin (* x 0.5)))) (/ (* 8.0 (sin (* x 0.5))) (sin x)) (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (* (/ (sin x) (sin (* x 0.5))) 3.0) (sin (* x 0.5))) (/ (* (/ (sin x) (sin (* x 0.5))) 3.0) 8.0) (/ (* 8.0 (sin (* x 0.5))) (* (sin x) 3.0)) (/ (* 8.0 (sin (* x 0.5))) (* (- (sin x)) 3.0)) (/ (* 8.0 (sin (* x 0.5))) (* 1 3.0)) (* (/ 1 (sin (* x 0.5))) 3.0) (* (sin x) 3.0) (* (- (sin x)) 3.0) (* 1 3.0) (- (+ (* 0.005208333333333334 (pow x 4)) 2.0) (* 0.25 (pow x 2))) (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x))) (+ (* 0.05555555555555555 (pow x 3)) (+ (* 0.005555555555555554 (pow x 5)) (* 0.6666666666666666 x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (- (+ (* 0.015625 (pow x 4)) 6.0) (* 0.75 (pow x 2))) (* 3.0 (/ (sin x) (sin (* 0.5 x)))) (* 3.0 (/ (sin x) (sin (* 0.5 x)))) 1.167 * * [simplify]: iteration 0 : 173 enodes (cost 189 ) 1.171 * * [simplify]: iteration 1 : 598 enodes (cost 178 ) 1.184 * * [simplify]: iteration 2 : 2779 enodes (cost 174 ) 1.244 * * [simplify]: iteration 3 : 5002 enodes (cost 174 ) 1.246 * [simplify]: Simplified to: (- (sin x)) (- (sin (* 0.5 x))) (/ 1 (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)) (- (* 8.0 (sin (* x 0.5)))) (- (* (/ (sin x) (sin (* x 0.5))) 3.0)) (/ (* 8.0 (sin (* x 0.5))) (sin x)) (/ (sin (* x 0.5)) 3.0) (/ 8.0 (sin x)) (/ (pow (sin (* 0.5 x)) 2) 3.0) (/ 8.0 3.0) (/ (pow (sin (* 0.5 x)) 2) (sin x)) (/ (pow (sin (* 0.5 x)) 2) (sin x)) (/ 8.0 3.0) (/ (sin (* 0.5 x)) (sin x)) (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin (* x 0.5)) 3.0) (/ (* 8.0 (sin (* x 0.5))) (sin x)) (/ 1 (* (/ (sin x) (sin (* x 0.5))) 3.0)) (* (/ (sin x) (pow (sin (* 0.5 x)) 2)) (/ 3.0 8.0)) (* (/ 8.0 (sin x)) (pow (sin (* 0.5 x)) 2)) (/ (* 8.0 (sin (* x 0.5))) (sin x)) (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (* (sin x) 3.0) (pow (sin (* 0.5 x)) 2)) (/ (* (/ (sin x) (sin (* x 0.5))) 3.0) 8.0) (/ (* 8.0 (sin (* x 0.5))) (* (sin x) 3.0)) (/ (* 8.0 (sin (* x 0.5))) (* (- (sin x)) 3.0)) (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ 3.0 (sin (* x 0.5))) (* (sin x) 3.0) (* (- (sin x)) 3.0) 3.0 (fma (pow x 4) 0.005208333333333334 (- 2.0 (* 0.25 (pow x 2)))) (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x))) (fma 0.05555555555555555 (pow x 3) (fma 0.005555555555555554 (pow x 5) (* 0.6666666666666666 x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (fma (pow x 4) 0.015625 (- 6.0 (* 0.75 (pow x 2)))) (* 3.0 (/ (sin x) (sin (* 0.5 x)))) (* 3.0 (/ (sin x) (sin (* 0.5 x)))) 1.246 * * * [progress]: adding candidates to table 1.345 * * [progress]: iteration 4 / 4 1.345 * * * [progress]: picking best candidate 1.370 * * * * [pick]: Picked # 1.370 * * * [progress]: localizing error 1.386 * * * [progress]: generating rewritten candidates 1.386 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 1.396 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 1.401 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 1.406 * * * [progress]: generating series expansions 1.406 * * * * [progress]: [ 1 / 3 ] generating series at (2) 1.407 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in (x) around 0 1.407 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 1.407 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.407 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 1.407 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 1.407 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.407 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.407 * [taylor]: Taking taylor expansion of 0.5 in x 1.407 * [taylor]: Taking taylor expansion of x in x 1.410 * [taylor]: Taking taylor expansion of (sin x) in x 1.411 * [taylor]: Taking taylor expansion of x in x 1.412 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 1.412 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.412 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 1.412 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 1.412 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.412 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.412 * [taylor]: Taking taylor expansion of 0.5 in x 1.412 * [taylor]: Taking taylor expansion of x in x 1.415 * [taylor]: Taking taylor expansion of (sin x) in x 1.415 * [taylor]: Taking taylor expansion of x in x 1.457 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in (x) around 0 1.457 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 1.457 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.457 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 1.457 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 1.457 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.457 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.457 * [taylor]: Taking taylor expansion of 0.5 in x 1.457 * [taylor]: Taking taylor expansion of x in x 1.458 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.458 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.458 * [taylor]: Taking taylor expansion of x in x 1.459 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 1.459 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.459 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 1.459 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 1.459 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.459 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.459 * [taylor]: Taking taylor expansion of 0.5 in x 1.459 * [taylor]: Taking taylor expansion of x in x 1.459 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.459 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.459 * [taylor]: Taking taylor expansion of x in x 1.475 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in (x) around 0 1.475 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 1.475 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.475 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 1.475 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 1.475 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.475 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.475 * [taylor]: Taking taylor expansion of -0.5 in x 1.475 * [taylor]: Taking taylor expansion of x in x 1.476 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.476 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.476 * [taylor]: Taking taylor expansion of -1 in x 1.476 * [taylor]: Taking taylor expansion of x in x 1.477 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 1.477 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.477 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 1.477 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 1.477 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.477 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.477 * [taylor]: Taking taylor expansion of -0.5 in x 1.477 * [taylor]: Taking taylor expansion of x in x 1.477 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.477 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.477 * [taylor]: Taking taylor expansion of -1 in x 1.477 * [taylor]: Taking taylor expansion of x in x 1.499 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 1.499 * [approximate]: Taking taylor expansion of (* 8.0 (/ (sin (* 0.5 x)) (sin x))) in (x) around 0 1.499 * [taylor]: Taking taylor expansion of (* 8.0 (/ (sin (* 0.5 x)) (sin x))) in x 1.499 * [taylor]: Taking taylor expansion of 8.0 in x 1.499 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 x)) (sin x)) in x 1.499 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.499 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.499 * [taylor]: Taking taylor expansion of 0.5 in x 1.499 * [taylor]: Taking taylor expansion of x in x 1.500 * [taylor]: Taking taylor expansion of (sin x) in x 1.501 * [taylor]: Taking taylor expansion of x in x 1.503 * [taylor]: Taking taylor expansion of (* 8.0 (/ (sin (* 0.5 x)) (sin x))) in x 1.503 * [taylor]: Taking taylor expansion of 8.0 in x 1.503 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 x)) (sin x)) in x 1.503 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.503 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.503 * [taylor]: Taking taylor expansion of 0.5 in x 1.503 * [taylor]: Taking taylor expansion of x in x 1.505 * [taylor]: Taking taylor expansion of (sin x) in x 1.505 * [taylor]: Taking taylor expansion of x in x 1.538 * [approximate]: Taking taylor expansion of (* 8.0 (/ (sin (/ 0.5 x)) (sin (/ 1 x)))) in (x) around 0 1.538 * [taylor]: Taking taylor expansion of (* 8.0 (/ (sin (/ 0.5 x)) (sin (/ 1 x)))) in x 1.538 * [taylor]: Taking taylor expansion of 8.0 in x 1.538 * [taylor]: Taking taylor expansion of (/ (sin (/ 0.5 x)) (sin (/ 1 x))) in x 1.538 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.538 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.538 * [taylor]: Taking taylor expansion of 0.5 in x 1.538 * [taylor]: Taking taylor expansion of x in x 1.539 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.539 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.539 * [taylor]: Taking taylor expansion of x in x 1.539 * [taylor]: Taking taylor expansion of (* 8.0 (/ (sin (/ 0.5 x)) (sin (/ 1 x)))) in x 1.540 * [taylor]: Taking taylor expansion of 8.0 in x 1.540 * [taylor]: Taking taylor expansion of (/ (sin (/ 0.5 x)) (sin (/ 1 x))) in x 1.540 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.540 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.540 * [taylor]: Taking taylor expansion of 0.5 in x 1.540 * [taylor]: Taking taylor expansion of x in x 1.540 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.540 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.540 * [taylor]: Taking taylor expansion of x in x 1.549 * [approximate]: Taking taylor expansion of (* 8.0 (/ (sin (/ -0.5 x)) (sin (/ -1 x)))) in (x) around 0 1.549 * [taylor]: Taking taylor expansion of (* 8.0 (/ (sin (/ -0.5 x)) (sin (/ -1 x)))) in x 1.550 * [taylor]: Taking taylor expansion of 8.0 in x 1.550 * [taylor]: Taking taylor expansion of (/ (sin (/ -0.5 x)) (sin (/ -1 x))) in x 1.550 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.550 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.550 * [taylor]: Taking taylor expansion of -0.5 in x 1.550 * [taylor]: Taking taylor expansion of x in x 1.550 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.550 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.550 * [taylor]: Taking taylor expansion of -1 in x 1.550 * [taylor]: Taking taylor expansion of x in x 1.551 * [taylor]: Taking taylor expansion of (* 8.0 (/ (sin (/ -0.5 x)) (sin (/ -1 x)))) in x 1.551 * [taylor]: Taking taylor expansion of 8.0 in x 1.551 * [taylor]: Taking taylor expansion of (/ (sin (/ -0.5 x)) (sin (/ -1 x))) in x 1.551 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.551 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.551 * [taylor]: Taking taylor expansion of -0.5 in x 1.551 * [taylor]: Taking taylor expansion of x in x 1.551 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.551 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.551 * [taylor]: Taking taylor expansion of -1 in x 1.551 * [taylor]: Taking taylor expansion of x in x 1.560 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 1.560 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (sin (* 0.5 x))) in (x) around 0 1.560 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (* 0.5 x))) in x 1.560 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.560 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.560 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.560 * [taylor]: Taking taylor expansion of 0.5 in x 1.560 * [taylor]: Taking taylor expansion of x in x 1.561 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (* 0.5 x))) in x 1.561 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.561 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.561 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.561 * [taylor]: Taking taylor expansion of 0.5 in x 1.561 * [taylor]: Taking taylor expansion of x in x 1.589 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ 0.5 x))) in (x) around 0 1.589 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ 0.5 x))) in x 1.589 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.589 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.589 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.589 * [taylor]: Taking taylor expansion of 0.5 in x 1.589 * [taylor]: Taking taylor expansion of x in x 1.589 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ 0.5 x))) in x 1.589 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.589 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.589 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.589 * [taylor]: Taking taylor expansion of 0.5 in x 1.589 * [taylor]: Taking taylor expansion of x in x 1.596 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ -0.5 x))) in (x) around 0 1.596 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ -0.5 x))) in x 1.596 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.596 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.596 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.596 * [taylor]: Taking taylor expansion of -0.5 in x 1.597 * [taylor]: Taking taylor expansion of x in x 1.597 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ -0.5 x))) in x 1.597 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.597 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.597 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.597 * [taylor]: Taking taylor expansion of -0.5 in x 1.597 * [taylor]: Taking taylor expansion of x in x 1.604 * * * [progress]: simplifying candidates 1.605 * [simplify]: Simplifying using # : (* (sin (* x 0.5)) (* 8.0 (sin (* x 0.5)))) (* 3.0 (sin x)) (* (sin (* x 0.5)) (- (* 8.0 (sin (* x 0.5))))) (* 3.0 (- (sin x))) (* (sin (* x 0.5)) 1) (* 3.0 (/ (sin x) (* 8.0 (sin (* x 0.5))))) (* (sin (* x 0.5)) 8.0) (* 3.0 (/ (sin x) (sin (* x 0.5)))) (* (sin (* x 0.5)) (sin (* x 0.5))) (* 3.0 (/ (sin x) 8.0)) (* (- (sin (* x 0.5))) (* 8.0 (sin (* x 0.5)))) (* (- 3.0) (sin x)) (* (- (sin (* x 0.5))) (- (* 8.0 (sin (* x 0.5))))) (* (- 3.0) (- (sin x))) (* (- (sin (* x 0.5))) 1) (* (- 3.0) (/ (sin x) (* 8.0 (sin (* x 0.5))))) (* (- (sin (* x 0.5))) 8.0) (* (- 3.0) (/ (sin x) (sin (* x 0.5)))) (* (- (sin (* x 0.5))) (sin (* x 0.5))) (* (- 3.0) (/ (sin x) 8.0)) (* 1 (* 8.0 (sin (* x 0.5)))) (* (/ 3.0 (sin (* x 0.5))) (sin x)) (* 1 (- (* 8.0 (sin (* x 0.5))))) (* (/ 3.0 (sin (* x 0.5))) (- (sin x))) (* 1 1) (* (/ 3.0 (sin (* x 0.5))) (/ (sin x) (* 8.0 (sin (* x 0.5))))) (* 1 8.0) (* (/ 3.0 (sin (* x 0.5))) (/ (sin x) (sin (* x 0.5)))) (* 1 (sin (* x 0.5))) (* (/ 3.0 (sin (* x 0.5))) (/ (sin x) 8.0)) (* (/ (sin (* x 0.5)) 3.0) (* 8.0 (sin (* x 0.5)))) (* (/ 1 3.0) (/ (* 8.0 (sin (* x 0.5))) (sin x))) (* (/ (sin (* x 0.5)) 3.0) (* 8.0 (sin (* x 0.5)))) (* (/ (sin (* x 0.5)) 3.0) (- (* 8.0 (sin (* x 0.5))))) (* (/ (sin (* x 0.5)) 3.0) 1) (* (/ (sin (* x 0.5)) 3.0) 8.0) (* (/ (sin (* x 0.5)) 3.0) (sin (* x 0.5))) (* (sin (* x 0.5)) (/ (* 8.0 (sin (* x 0.5))) (sin x))) (* (- (sin (* x 0.5))) (/ (* 8.0 (sin (* x 0.5))) (sin x))) (* 1 (/ (* 8.0 (sin (* x 0.5))) (sin x))) (- (* 8.0 (sin (* x 0.5)))) (- (sin x)) (/ 1 (sin x)) (/ (sin x) (* 8.0 (sin (* x 0.5)))) (/ (sin x) (sin (* x 0.5))) (/ (sin x) 8.0) (- (sin (* x 0.5))) (- 3.0) (/ 1 3.0) (/ 3.0 (sin (* x 0.5))) (+ (* 0.05555555555555555 (pow x 3)) (+ (* 0.005555555555555554 (pow x 5)) (* 0.6666666666666666 x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (+ (* 0.5 (pow x 2)) (+ (* 0.05208333333333333 (pow x 4)) 4.0)) (* 8.0 (/ (sin (* 0.5 x)) (sin x))) (* 8.0 (/ (sin (* 0.5 x)) (sin x))) (- (+ (* 0.16666666666666666 x) (* 8.680555555555555e-05 (pow x 5))) (* 0.006944444444444444 (pow x 3))) (* 0.3333333333333333 (sin (* 0.5 x))) (* 0.3333333333333333 (sin (* 0.5 x))) 1.610 * * [simplify]: iteration 0 : 234 enodes (cost 269 ) 1.617 * * [simplify]: iteration 1 : 949 enodes (cost 242 ) 1.643 * * [simplify]: iteration 2 : 5001 enodes (cost 238 ) 1.645 * [simplify]: Simplified to: (* (pow (sin (* 0.5 x)) 2) 8.0) (* 3.0 (sin x)) (* (- (pow (sin (* 0.5 x)) 2)) 8.0) (* (- 3.0) (sin x)) (sin (* x 0.5)) (* (/ 3.0 (sin (* x 0.5))) (/ (sin x) 8.0)) (* 8.0 (sin (* x 0.5))) (* 3.0 (/ (sin x) (sin (* x 0.5)))) (pow (sin (* 0.5 x)) 2) (* 3.0 (/ (sin x) 8.0)) (* (- (pow (sin (* 0.5 x)) 2)) 8.0) (* (- 3.0) (sin x)) (* (pow (sin (* 0.5 x)) 2) 8.0) (* 3.0 (sin x)) (- (sin (* x 0.5))) (* (- 3.0) (/ (sin x) (* 8.0 (sin (* x 0.5))))) (- (* 8.0 (sin (* x 0.5)))) (* (- 3.0) (/ (sin x) (sin (* x 0.5)))) (- (pow (sin (* 0.5 x)) 2)) (* (- 3.0) (/ (sin x) 8.0)) (* 8.0 (sin (* x 0.5))) (* 3.0 (/ (sin x) (sin (* x 0.5)))) (- (* 8.0 (sin (* x 0.5)))) (* (- 3.0) (/ (sin x) (sin (* x 0.5)))) 1 (/ 3.0 (/ (* (pow (sin (* 0.5 x)) 2) 8.0) (sin x))) 8.0 (/ (* 3.0 (sin x)) (pow (sin (* 0.5 x)) 2)) (sin (* x 0.5)) (* (/ 3.0 (sin (* x 0.5))) (/ (sin x) 8.0)) (/ (* (pow (sin (* 0.5 x)) 2) 8.0) 3.0) (/ (/ (* 8.0 (sin (* x 0.5))) (sin x)) 3.0) (/ (* (pow (sin (* 0.5 x)) 2) 8.0) 3.0) (* (- (/ (pow (sin (* 0.5 x)) 2) 3.0)) 8.0) (/ (sin (* x 0.5)) 3.0) (* (/ (sin (* x 0.5)) 3.0) 8.0) (/ (pow (sin (* 0.5 x)) 2) 3.0) (/ (* (pow (sin (* 0.5 x)) 2) 8.0) (sin x)) (* (/ 8.0 (sin x)) (- (pow (sin (* 0.5 x)) 2))) (/ (* 8.0 (sin (* x 0.5))) (sin x)) (- (* 8.0 (sin (* x 0.5)))) (- (sin x)) (/ 1 (sin x)) (/ (sin x) (* 8.0 (sin (* x 0.5)))) (/ (sin x) (sin (* x 0.5))) (/ (sin x) 8.0) (- (sin (* x 0.5))) (- 3.0) (/ 1 3.0) (/ 3.0 (sin (* x 0.5))) (fma 0.05555555555555555 (pow x 3) (fma 0.005555555555555554 (pow x 5) (* 0.6666666666666666 x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (fma 0.5 (pow x 2) (fma 0.05208333333333333 (pow x 4) 4.0)) (/ (* 8.0 (sin (* x 0.5))) (sin x)) (/ (* 8.0 (sin (* x 0.5))) (sin x)) (fma x 0.16666666666666666 (- (* 8.680555555555555e-05 (pow x 5)) (* 0.006944444444444444 (pow x 3)))) (* 0.3333333333333333 (sin (* 0.5 x))) (* 0.3333333333333333 (sin (* 0.5 x))) 1.646 * * * [progress]: adding candidates to table 1.768 * [progress]: [Phase 3 of 3] Extracting. 1.768 * * [regime]: Finding splitpoints for: (# # # # # # # # # #) 1.769 * * * [regime-changes]: Trying 1 branch expressions: (x) 1.769 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # #) 1.803 * * * [regime]: Found split indices: #