6.540 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.061 * * * [progress]: [2/2] Setting up program. 0.063 * [progress]: [Phase 2 of 3] Improving. 0.064 * [simplify]: Simplifying using # : (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x)) 0.067 * * [simplify]: iteration 0 : 20 enodes (cost 9 ) 0.069 * * [simplify]: iteration 1 : 43 enodes (cost 9 ) 0.072 * * [simplify]: iteration 2 : 93 enodes (cost 9 ) 0.075 * * [simplify]: iteration 3 : 174 enodes (cost 9 ) 0.079 * * [simplify]: iteration 4 : 269 enodes (cost 9 ) 0.084 * * [simplify]: iteration 5 : 288 enodes (cost 9 ) 0.089 * * [simplify]: iteration 6 : 288 enodes (cost 9 ) 0.089 * [simplify]: Simplified to: (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x)) 0.089 * * [progress]: iteration 1 / 4 0.089 * * * [progress]: picking best candidate 0.092 * * * * [pick]: Picked # 0.092 * * * [progress]: localizing error 0.109 * * * [progress]: generating rewritten candidates 0.109 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.130 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.141 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.165 * * * [progress]: generating series expansions 0.165 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.166 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in (x) around 0 0.166 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.166 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.166 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 0.166 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.166 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.166 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.166 * [taylor]: Taking taylor expansion of 0.5 in x 0.166 * [taylor]: Taking taylor expansion of x in x 0.170 * [taylor]: Taking taylor expansion of (sin x) in x 0.170 * [taylor]: Taking taylor expansion of x in x 0.171 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.171 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.171 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 0.171 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.171 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.171 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.171 * [taylor]: Taking taylor expansion of 0.5 in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.174 * [taylor]: Taking taylor expansion of (sin x) in x 0.174 * [taylor]: Taking taylor expansion of x in x 0.220 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in (x) around 0 0.221 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 0.221 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.221 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 0.221 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.221 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.221 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.221 * [taylor]: Taking taylor expansion of 0.5 in x 0.221 * [taylor]: Taking taylor expansion of x in x 0.221 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.221 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.221 * [taylor]: Taking taylor expansion of x in x 0.222 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 0.222 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.222 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 0.222 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) 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 0.222 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.222 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.222 * [taylor]: Taking taylor expansion of x in x 0.238 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in (x) around 0 0.238 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.238 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.239 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 0.239 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.239 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.239 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.239 * [taylor]: Taking taylor expansion of -0.5 in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.239 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.239 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.239 * [taylor]: Taking taylor expansion of -1 in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.240 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.240 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.240 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 0.240 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.240 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.240 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.240 * [taylor]: Taking taylor expansion of -0.5 in x 0.240 * [taylor]: Taking taylor expansion of x in x 0.240 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.240 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.240 * [taylor]: Taking taylor expansion of -1 in x 0.240 * [taylor]: Taking taylor expansion of x in x 0.255 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.256 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in (x) around 0 0.256 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 0.256 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.256 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.256 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.256 * [taylor]: Taking taylor expansion of 0.5 in x 0.256 * [taylor]: Taking taylor expansion of x in x 0.257 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 0.257 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.257 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.257 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.258 * [taylor]: Taking taylor expansion of 0.5 in x 0.258 * [taylor]: Taking taylor expansion of x in x 0.281 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in (x) around 0 0.281 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 0.281 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.281 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.281 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.282 * [taylor]: Taking taylor expansion of 0.5 in x 0.282 * [taylor]: Taking taylor expansion of x in x 0.282 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 0.282 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.282 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.282 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.282 * [taylor]: Taking taylor expansion of 0.5 in x 0.282 * [taylor]: Taking taylor expansion of x in x 0.289 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in (x) around 0 0.289 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 0.289 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.289 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.289 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.289 * [taylor]: Taking taylor expansion of -0.5 in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.290 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 0.290 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.290 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.290 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.290 * [taylor]: Taking taylor expansion of -0.5 in x 0.290 * [taylor]: Taking taylor expansion of x in x 0.303 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 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 0.304 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.304 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.304 * [taylor]: Taking taylor expansion of 0.5 in x 0.304 * [taylor]: Taking taylor expansion of x in x 0.307 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (* 0.5 x)) 2)) in x 0.307 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.307 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.307 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.307 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.307 * [taylor]: Taking taylor expansion of 0.5 in x 0.308 * [taylor]: Taking taylor expansion of x in x 0.340 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ 0.5 x)) 2)) in (x) around 0 0.340 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ 0.5 x)) 2)) in x 0.341 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.341 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.341 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.341 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.341 * [taylor]: Taking taylor expansion of 0.5 in x 0.341 * [taylor]: Taking taylor expansion of x in x 0.341 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ 0.5 x)) 2)) in x 0.341 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.341 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.341 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.341 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.341 * [taylor]: Taking taylor expansion of 0.5 in x 0.341 * [taylor]: Taking taylor expansion of x in x 0.354 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ -0.5 x)) 2)) in (x) around 0 0.354 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ -0.5 x)) 2)) in x 0.354 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.354 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.354 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.354 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.354 * [taylor]: Taking taylor expansion of -0.5 in x 0.354 * [taylor]: Taking taylor expansion of x in x 0.354 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ -0.5 x)) 2)) in x 0.354 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.354 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.354 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.354 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.354 * [taylor]: Taking taylor expansion of -0.5 in x 0.354 * [taylor]: Taking taylor expansion of x in x 0.366 * * * [progress]: simplifying candidates 0.368 * [simplify]: Simplifying using # : (expm1 (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))) (log1p (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))) (- (+ (+ (- (log 8.0) (log 3.0)) (log (sin (* x 0.5)))) (log (sin (* x 0.5)))) (log (sin x))) (- (+ (+ (log (/ 8.0 3.0)) (log (sin (* x 0.5)))) (log (sin (* x 0.5)))) (log (sin x))) (- (+ (log (* (/ 8.0 3.0) (sin (* x 0.5)))) (log (sin (* x 0.5)))) (log (sin x))) (- (log (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))) (log (sin x))) (log (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))) (exp (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))) (/ (* (* (/ (* (* 8.0 8.0) 8.0) (* (* 3.0 3.0) 3.0)) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* (sin x) (sin x)) (sin x))) (/ (* (* (* (* (/ 8.0 3.0) (/ 8.0 3.0)) (/ 8.0 3.0)) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* (sin x) (sin x)) (sin x))) (/ (* (* (* (* (/ 8.0 3.0) (sin (* x 0.5))) (* (/ 8.0 3.0) (sin (* x 0.5)))) (* (/ 8.0 3.0) (sin (* x 0.5)))) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* (sin x) (sin x)) (sin x))) (/ (* (* (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* (sin x) (sin x)) (sin x))) (* (cbrt (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))) (cbrt (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x)))) (cbrt (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))) (* (* (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x)) (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))) (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))) (sqrt (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))) (sqrt (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))) (- (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))) (- (sin x)) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sin (* x 0.5)) (cbrt (sin x))) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (sqrt (sin x))) (/ (sin (* x 0.5)) (sqrt (sin x))) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) 1) (/ (sin (* x 0.5)) (sin x)) (/ 1 (sin x)) (/ (sin x) (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))) (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sqrt (sin x))) (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) 1) (/ (sin x) (sin (* x 0.5))) (* (sin x) 3.0) (expm1 (* (/ 8.0 3.0) (sin (* x 0.5)))) (log1p (* (/ 8.0 3.0) (sin (* x 0.5)))) (* (/ 8.0 3.0) (sin (* x 0.5))) (+ (- (log 8.0) (log 3.0)) (log (sin (* x 0.5)))) (+ (log (/ 8.0 3.0)) (log (sin (* x 0.5)))) (log (* (/ 8.0 3.0) (sin (* x 0.5)))) (exp (* (/ 8.0 3.0) (sin (* x 0.5)))) (* (/ (* (* 8.0 8.0) 8.0) (* (* 3.0 3.0) 3.0)) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* (* (/ 8.0 3.0) (/ 8.0 3.0)) (/ 8.0 3.0)) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (cbrt (* (/ 8.0 3.0) (sin (* x 0.5)))) (cbrt (* (/ 8.0 3.0) (sin (* x 0.5))))) (cbrt (* (/ 8.0 3.0) (sin (* x 0.5)))) (* (* (* (/ 8.0 3.0) (sin (* x 0.5))) (* (/ 8.0 3.0) (sin (* x 0.5)))) (* (/ 8.0 3.0) (sin (* x 0.5)))) (sqrt (* (/ 8.0 3.0) (sin (* x 0.5)))) (sqrt (* (/ 8.0 3.0) (sin (* x 0.5)))) (* (sqrt (/ 8.0 3.0)) (sqrt (sin (* x 0.5)))) (* (sqrt (/ 8.0 3.0)) (sqrt (sin (* x 0.5)))) (* (/ (sqrt 8.0) (sqrt 3.0)) (sqrt (sin (* x 0.5)))) (* (/ (sqrt 8.0) (sqrt 3.0)) (sqrt (sin (* x 0.5)))) (* (/ 8.0 3.0) (* (cbrt (sin (* x 0.5))) (cbrt (sin (* x 0.5))))) (* (/ 8.0 3.0) (sqrt (sin (* x 0.5)))) (* (/ 8.0 3.0) 1) (* (cbrt (/ 8.0 3.0)) (sin (* x 0.5))) (* (sqrt (/ 8.0 3.0)) (sin (* x 0.5))) (* (/ (cbrt 8.0) (cbrt 3.0)) (sin (* x 0.5))) (* (/ (cbrt 8.0) (sqrt 3.0)) (sin (* x 0.5))) (* (/ (cbrt 8.0) 3.0) (sin (* x 0.5))) (* (/ (sqrt 8.0) (cbrt 3.0)) (sin (* x 0.5))) (* (/ (sqrt 8.0) (sqrt 3.0)) (sin (* x 0.5))) (* (/ (sqrt 8.0) 3.0) (sin (* x 0.5))) (* (/ 8.0 (cbrt 3.0)) (sin (* x 0.5))) (* (/ 8.0 (sqrt 3.0)) (sin (* x 0.5))) (* (/ 8.0 3.0) (sin (* x 0.5))) (* (/ 8.0 3.0) (sin (* x 0.5))) (* (/ 1 3.0) (sin (* x 0.5))) (* 8.0 (sin (* x 0.5))) (expm1 (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))) (log1p (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (+ (+ (- (log 8.0) (log 3.0)) (log (sin (* x 0.5)))) (log (sin (* x 0.5)))) (+ (+ (log (/ 8.0 3.0)) (log (sin (* x 0.5)))) (log (sin (* x 0.5)))) (+ (log (* (/ 8.0 3.0) (sin (* x 0.5)))) (log (sin (* x 0.5)))) (log (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))) (exp (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* (/ (* (* 8.0 8.0) 8.0) (* (* 3.0 3.0) 3.0)) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* (* (* (/ 8.0 3.0) (/ 8.0 3.0)) (/ 8.0 3.0)) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* (* (* (/ 8.0 3.0) (sin (* x 0.5))) (* (/ 8.0 3.0) (sin (* x 0.5)))) (* (/ 8.0 3.0) (sin (* x 0.5)))) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (cbrt (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))) (cbrt (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))))) (cbrt (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))) (sqrt (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))) (sqrt (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* (/ 8.0 3.0) (sin (* x 0.5))) (* (cbrt (sin (* x 0.5))) (cbrt (sin (* x 0.5))))) (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sqrt (sin (* x 0.5)))) (* (* (/ 8.0 3.0) (sin (* x 0.5))) 1) (* (sin (* x 0.5)) (sin (* x 0.5))) (* (* 8.0 (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)) 0.376 * * [simplify]: iteration 0 : 412 enodes (cost 862 ) 0.388 * * [simplify]: iteration 1 : 2127 enodes (cost 656 ) 0.430 * * [simplify]: iteration 2 : 5001 enodes (cost 637 ) 0.434 * [simplify]: Simplified to: (expm1 (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))) (log1p (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))) (- (log (/ 8.0 3.0)) (log (/ (sin x) (pow (sin (* 0.5 x)) 2)))) (- (log (/ 8.0 3.0)) (log (/ (sin x) (pow (sin (* 0.5 x)) 2)))) (- (log (/ 8.0 3.0)) (log (/ (sin x) (pow (sin (* 0.5 x)) 2)))) (- (log (/ 8.0 3.0)) (log (/ (sin x) (pow (sin (* 0.5 x)) 2)))) (- (log (/ 8.0 3.0)) (log (/ (sin x) (pow (sin (* 0.5 x)) 2)))) (exp (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))) (/ 1 (pow (/ (/ (sin x) (/ 8.0 3.0)) (pow (sin (* 0.5 x)) 2)) 3)) (/ 1 (pow (/ (/ (sin x) (/ 8.0 3.0)) (pow (sin (* 0.5 x)) 2)) 3)) (/ 1 (pow (/ (/ (sin x) (/ 8.0 3.0)) (pow (sin (* 0.5 x)) 2)) 3)) (/ 1 (pow (/ (/ (sin x) (/ 8.0 3.0)) (pow (sin (* 0.5 x)) 2)) 3)) (* (cbrt (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))) (cbrt (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x)))) (cbrt (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))) (/ 1 (pow (/ (/ (sin x) (/ 8.0 3.0)) (pow (sin (* 0.5 x)) 2)) 3)) (sqrt (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))) (sqrt (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))) (* (- (/ 8.0 3.0)) (pow (sin (* 0.5 x)) 2)) (- (sin x)) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sin (* 0.5 x)) (cbrt (sin x))) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (sqrt (sin x))) (/ (sin (* 0.5 x)) (sqrt (sin x))) (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)) (/ 1 (sin x)) (/ (/ (sin x) (/ 8.0 3.0)) (pow (sin (* 0.5 x)) 2)) (* (/ (/ 8.0 3.0) (cbrt (sin x))) (/ (pow (sin (* 0.5 x)) 2) (cbrt (sin x)))) (/ (/ 8.0 3.0) (/ (sqrt (sin x)) (pow (sin (* 0.5 x)) 2))) (* (pow (sin (* 0.5 x)) 2) (/ 8.0 3.0)) (/ (sin x) (sin (* 0.5 x))) (* (sin x) 3.0) (expm1 (* (/ 8.0 3.0) (sin (* x 0.5)))) (log1p (* (/ 8.0 3.0) (sin (* x 0.5)))) (* (/ 8.0 3.0) (sin (* x 0.5))) (log (* (/ 8.0 3.0) (sin (* x 0.5)))) (log (* (/ 8.0 3.0) (sin (* x 0.5)))) (log (* (/ 8.0 3.0) (sin (* x 0.5)))) (exp (* (/ 8.0 3.0) (sin (* x 0.5)))) (pow (* (/ 8.0 3.0) (sin (* x 0.5))) 3) (pow (* (/ 8.0 3.0) (sin (* x 0.5))) 3) (* (cbrt (* (/ 8.0 3.0) (sin (* x 0.5)))) (cbrt (* (/ 8.0 3.0) (sin (* x 0.5))))) (cbrt (* (/ 8.0 3.0) (sin (* x 0.5)))) (pow (* (/ 8.0 3.0) (sin (* x 0.5))) 3) (sqrt (* (/ 8.0 3.0) (sin (* x 0.5)))) (sqrt (* (/ 8.0 3.0) (sin (* x 0.5)))) (* (sqrt (/ 8.0 3.0)) (sqrt (sin (* x 0.5)))) (* (sqrt (/ 8.0 3.0)) (sqrt (sin (* x 0.5)))) (* (/ (sqrt 8.0) (sqrt 3.0)) (sqrt (sin (* x 0.5)))) (* (/ (sqrt 8.0) (sqrt 3.0)) (sqrt (sin (* x 0.5)))) (* (/ 8.0 3.0) (* (cbrt (sin (* x 0.5))) (cbrt (sin (* x 0.5))))) (* (/ 8.0 3.0) (sqrt (sin (* x 0.5)))) (/ 8.0 3.0) (* (cbrt (/ 8.0 3.0)) (sin (* x 0.5))) (* (sqrt (/ 8.0 3.0)) (sin (* x 0.5))) (* (/ (cbrt 8.0) (cbrt 3.0)) (sin (* x 0.5))) (* (/ (cbrt 8.0) (sqrt 3.0)) (sin (* x 0.5))) (* (/ (cbrt 8.0) 3.0) (sin (* x 0.5))) (* (/ (sqrt 8.0) (cbrt 3.0)) (sin (* x 0.5))) (* (/ (sqrt 8.0) (sqrt 3.0)) (sin (* x 0.5))) (* (/ (sqrt 8.0) 3.0) (sin (* x 0.5))) (* (/ 8.0 (cbrt 3.0)) (sin (* x 0.5))) (* (/ 8.0 (sqrt 3.0)) (sin (* x 0.5))) (* (/ 8.0 3.0) (sin (* x 0.5))) (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) 3.0) (* 8.0 (sin (* x 0.5))) (expm1 (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))) (log1p (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))) (* (pow (sin (* 0.5 x)) 2) (/ 8.0 3.0)) (* (pow (sin (* 0.5 x)) 2) (/ 8.0 3.0)) (fma 2 (log (sin (* 0.5 x))) (log (/ 8.0 3.0))) (fma 2 (log (sin (* 0.5 x))) (log (/ 8.0 3.0))) (fma 2 (log (sin (* 0.5 x))) (log (/ 8.0 3.0))) (fma 2 (log (sin (* 0.5 x))) (log (/ 8.0 3.0))) (pow (exp (/ 8.0 3.0)) (pow (sin (* 0.5 x)) 2)) (/ (pow (* (pow (sin (* 0.5 x)) 2) 8.0) 3) (pow 3.0 3)) (/ (pow (* (pow (sin (* 0.5 x)) 2) 8.0) 3) (pow 3.0 3)) (/ (pow (* (pow (sin (* 0.5 x)) 2) 8.0) 3) (pow 3.0 3)) (* (cbrt (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))) (cbrt (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))))) (cbrt (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))) (/ (pow (* (pow (sin (* 0.5 x)) 2) 8.0) 3) (pow 3.0 3)) (sqrt (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))) (sqrt (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* (/ 8.0 3.0) (sin (* x 0.5))) (* (cbrt (sin (* x 0.5))) (cbrt (sin (* x 0.5))))) (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sqrt (sin (* x 0.5)))) (* (/ 8.0 3.0) (sin (* x 0.5))) (pow (sin (* 0.5 x)) 2) (* (pow (sin (* 0.5 x)) 2) 8.0) (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)) 0.434 * * * [progress]: adding candidates to table 0.679 * * [progress]: iteration 2 / 4 0.679 * * * [progress]: picking best candidate 0.714 * * * * [pick]: Picked # 0.714 * * * [progress]: localizing error 0.729 * * * [progress]: generating rewritten candidates 0.729 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.740 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.749 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.765 * * * [progress]: generating series expansions 0.765 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.766 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in (x) around 0 0.766 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 0.766 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.766 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.766 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.766 * [taylor]: Taking taylor expansion of 0.5 in x 0.766 * [taylor]: Taking taylor expansion of x in x 0.767 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 0.767 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.767 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.767 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.767 * [taylor]: Taking taylor expansion of 0.5 in x 0.767 * [taylor]: Taking taylor expansion of x in x 0.792 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in (x) around 0 0.792 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 0.792 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.792 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.792 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.792 * [taylor]: Taking taylor expansion of 0.5 in x 0.792 * [taylor]: Taking taylor expansion of x in x 0.793 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 0.793 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.793 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.793 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.793 * [taylor]: Taking taylor expansion of 0.5 in x 0.793 * [taylor]: Taking taylor expansion of x in x 0.800 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in (x) around 0 0.800 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 0.800 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.800 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.800 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.800 * [taylor]: Taking taylor expansion of -0.5 in x 0.800 * [taylor]: Taking taylor expansion of x in x 0.801 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 0.801 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.801 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.801 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.801 * [taylor]: Taking taylor expansion of -0.5 in x 0.801 * [taylor]: Taking taylor expansion of x in x 0.807 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.807 * [approximate]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in (x) around 0 0.807 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 0.808 * [taylor]: Taking taylor expansion of (sin x) in x 0.808 * [taylor]: Taking taylor expansion of x in x 0.808 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.808 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.808 * [taylor]: Taking taylor expansion of 0.5 in x 0.808 * [taylor]: Taking taylor expansion of x in x 0.811 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 0.812 * [taylor]: Taking taylor expansion of (sin x) in x 0.812 * [taylor]: Taking taylor expansion of x in x 0.812 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.812 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.812 * [taylor]: Taking taylor expansion of 0.5 in x 0.812 * [taylor]: Taking taylor expansion of x in x 0.852 * [approximate]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in (x) around 0 0.852 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 0.852 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.852 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.852 * [taylor]: Taking taylor expansion of x in x 0.852 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.852 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.852 * [taylor]: Taking taylor expansion of 0.5 in x 0.852 * [taylor]: Taking taylor expansion of x in x 0.853 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 0.853 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.853 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.853 * [taylor]: Taking taylor expansion of x in x 0.853 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.853 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.853 * [taylor]: Taking taylor expansion of 0.5 in x 0.853 * [taylor]: Taking taylor expansion of x in x 0.856 * [approximate]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in (x) around 0 0.856 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 0.856 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.856 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.856 * [taylor]: Taking taylor expansion of -1 in x 0.856 * [taylor]: Taking taylor expansion of x in x 0.857 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.857 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.857 * [taylor]: Taking taylor expansion of -0.5 in x 0.857 * [taylor]: Taking taylor expansion of x in x 0.857 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 0.857 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.857 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.857 * [taylor]: Taking taylor expansion of -1 in x 0.857 * [taylor]: Taking taylor expansion of x in x 0.858 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.858 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.858 * [taylor]: Taking taylor expansion of -0.5 in x 0.858 * [taylor]: Taking taylor expansion of x in x 0.860 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.861 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in (x) around 0 0.861 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.861 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.861 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 0.861 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.861 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.861 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.861 * [taylor]: Taking taylor expansion of 0.5 in x 0.861 * [taylor]: Taking taylor expansion of x in x 0.865 * [taylor]: Taking taylor expansion of (sin x) in x 0.865 * [taylor]: Taking taylor expansion of x in x 0.866 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.866 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.866 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 0.866 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.866 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.866 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.866 * [taylor]: Taking taylor expansion of 0.5 in x 0.866 * [taylor]: Taking taylor expansion of x in x 0.869 * [taylor]: Taking taylor expansion of (sin x) in x 0.869 * [taylor]: Taking taylor expansion of x in x 0.913 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in (x) around 0 0.913 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 0.913 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.913 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 0.913 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.913 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.913 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.913 * [taylor]: Taking taylor expansion of 0.5 in x 0.913 * [taylor]: Taking taylor expansion of x in x 0.913 * [taylor]: Taking taylor expansion of (sin (/ 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 0.914 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 0.914 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.914 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 0.914 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.914 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.914 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.914 * [taylor]: Taking taylor expansion of 0.5 in x 0.914 * [taylor]: Taking taylor expansion of x in x 0.914 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.914 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.914 * [taylor]: Taking taylor expansion of x in x 0.930 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in (x) around 0 0.930 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.930 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.930 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 0.930 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.930 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.930 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.930 * [taylor]: Taking taylor expansion of -0.5 in x 0.930 * [taylor]: Taking taylor expansion of x in x 0.931 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.931 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.931 * [taylor]: Taking taylor expansion of -1 in x 0.931 * [taylor]: Taking taylor expansion of x in x 0.932 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.932 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.932 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 0.932 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.932 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.932 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.932 * [taylor]: Taking taylor expansion of -0.5 in x 0.932 * [taylor]: Taking taylor expansion of x in x 0.932 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.932 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.932 * [taylor]: Taking taylor expansion of -1 in x 0.932 * [taylor]: Taking taylor expansion of x in x 0.955 * * * [progress]: simplifying candidates 0.957 * [simplify]: Simplifying using # : (expm1 (* (/ 8.0 3.0) (sin (* x 0.5)))) (log1p (* (/ 8.0 3.0) (sin (* x 0.5)))) (* (/ 8.0 3.0) (sin (* x 0.5))) (+ (- (log 8.0) (log 3.0)) (log (sin (* x 0.5)))) (+ (log (/ 8.0 3.0)) (log (sin (* x 0.5)))) (log (* (/ 8.0 3.0) (sin (* x 0.5)))) (exp (* (/ 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(sin (* 0.5 x))))) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))))) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (sin (* 0.5 x))))) (/ (/ 8.0 3.0) (/ (* (cbrt (sin x)) (cbrt (sin x))) (sin (* x 0.5)))) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sqrt (sin x)) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))))) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x))))) (/ (/ 8.0 3.0) (/ (sqrt (sin x)) (sin (* x 0.5)))) (* (* (/ 8.0 3.0) (sin (* x 0.5))) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sqrt (sin (* 0.5 x)))) (* (/ 8.0 3.0) (sin (* x 0.5))) (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (sin x)) (/ (sin x) (pow (sin (* 0.5 x)) 2)) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (sin x)) (* (/ (sin x) (sin (* 0.5 x))) 3.0) (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 (* x 0.5))) (/ (sin x) (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))) 1.036 * * * [progress]: adding candidates to table 1.404 * * [progress]: iteration 3 / 4 1.404 * * * [progress]: picking best candidate 1.438 * * * * [pick]: Picked # 1.438 * * * [progress]: localizing error 1.458 * * * [progress]: generating rewritten candidates 1.458 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1) 1.462 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 1.473 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 1.485 * * * [progress]: generating series expansions 1.485 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1) 1.485 * [approximate]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in (x) around 0 1.485 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 1.485 * [taylor]: Taking taylor expansion of (sin x) in x 1.485 * [taylor]: Taking taylor expansion of x in x 1.485 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.485 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.485 * [taylor]: Taking taylor expansion of 0.5 in x 1.485 * [taylor]: Taking taylor expansion of x in x 1.490 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 1.490 * [taylor]: Taking taylor expansion of (sin x) in x 1.490 * [taylor]: Taking taylor expansion of x in x 1.490 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.490 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.490 * [taylor]: Taking taylor expansion of 0.5 in x 1.490 * [taylor]: Taking taylor expansion of x in x 1.523 * [approximate]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in (x) around 0 1.523 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 1.523 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.523 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.523 * [taylor]: Taking taylor expansion of x in x 1.523 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.523 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.523 * [taylor]: Taking taylor expansion of 0.5 in x 1.523 * [taylor]: Taking taylor expansion of x in x 1.524 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 1.524 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.524 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.524 * [taylor]: Taking taylor expansion of x in x 1.524 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.524 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.524 * [taylor]: Taking taylor expansion of 0.5 in x 1.524 * [taylor]: Taking taylor expansion of x in x 1.527 * [approximate]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in (x) around 0 1.527 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 1.527 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.527 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.527 * [taylor]: Taking taylor expansion of -1 in x 1.527 * [taylor]: Taking taylor expansion of x in x 1.528 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.528 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.528 * [taylor]: Taking taylor expansion of -0.5 in x 1.528 * [taylor]: Taking taylor expansion of x in x 1.528 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 1.528 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.528 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.528 * [taylor]: Taking taylor expansion of -1 in x 1.528 * [taylor]: Taking taylor expansion of x in x 1.529 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.529 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.529 * [taylor]: Taking taylor expansion of -0.5 in x 1.529 * [taylor]: Taking taylor expansion of x in x 1.531 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 1.531 * [approximate]: Taking taylor expansion of (* 3.0 (/ (sin x) (sin (* 0.5 x)))) in (x) around 0 1.532 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sin x) (sin (* 0.5 x)))) in x 1.532 * [taylor]: Taking taylor expansion of 3.0 in x 1.532 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 1.532 * [taylor]: Taking taylor expansion of (sin x) in x 1.532 * [taylor]: Taking taylor expansion of x in x 1.532 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.532 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.532 * [taylor]: Taking taylor expansion of 0.5 in x 1.532 * [taylor]: Taking taylor expansion of x in x 1.536 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sin x) (sin (* 0.5 x)))) in x 1.536 * [taylor]: Taking taylor expansion of 3.0 in x 1.536 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 1.536 * [taylor]: Taking taylor expansion of (sin x) in x 1.536 * [taylor]: Taking taylor expansion of x in x 1.536 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.536 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.536 * [taylor]: Taking taylor expansion of 0.5 in x 1.536 * [taylor]: Taking taylor expansion of x in x 1.581 * [approximate]: Taking taylor expansion of (* 3.0 (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) in (x) around 0 1.582 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) in x 1.582 * [taylor]: Taking taylor expansion of 3.0 in x 1.582 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 1.582 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.582 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.582 * [taylor]: Taking taylor expansion of x in x 1.582 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.582 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.582 * [taylor]: Taking taylor expansion of 0.5 in x 1.582 * [taylor]: Taking taylor expansion of x in x 1.583 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) in x 1.583 * [taylor]: Taking taylor expansion of 3.0 in x 1.583 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 1.583 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.583 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.583 * [taylor]: Taking taylor expansion of x in x 1.583 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.583 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.583 * [taylor]: Taking taylor expansion of 0.5 in x 1.583 * [taylor]: Taking taylor expansion of x in x 1.592 * [approximate]: Taking taylor expansion of (* 3.0 (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) in (x) around 0 1.592 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) in x 1.592 * [taylor]: Taking taylor expansion of 3.0 in x 1.592 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 1.592 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.592 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.592 * [taylor]: Taking taylor expansion of -1 in x 1.592 * [taylor]: Taking taylor expansion of x in x 1.593 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.593 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.593 * [taylor]: Taking taylor expansion of -0.5 in x 1.593 * [taylor]: Taking taylor expansion of x in x 1.593 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) in x 1.593 * [taylor]: Taking taylor expansion of 3.0 in x 1.593 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 1.593 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.593 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.593 * [taylor]: Taking taylor expansion of -1 in x 1.593 * [taylor]: Taking taylor expansion of x in x 1.594 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.594 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.594 * [taylor]: Taking taylor expansion of -0.5 in x 1.594 * [taylor]: Taking taylor expansion of x in x 1.603 * * * * [progress]: [ 3 / 3 ] generating series at (2) 1.603 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in (x) around 0 1.603 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 1.603 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.603 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 1.603 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 1.603 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.603 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.603 * [taylor]: Taking taylor expansion of 0.5 in x 1.603 * [taylor]: Taking taylor expansion of x in x 1.606 * [taylor]: Taking taylor expansion of (sin x) in x 1.606 * [taylor]: Taking taylor expansion of x in x 1.607 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 1.607 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.607 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 1.607 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 1.607 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.608 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.608 * [taylor]: Taking taylor expansion of 0.5 in x 1.608 * [taylor]: Taking taylor expansion of x in x 1.610 * [taylor]: Taking taylor expansion of (sin x) in x 1.610 * [taylor]: Taking taylor expansion of x in x 1.658 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in (x) around 0 1.659 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 1.659 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.659 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 1.659 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 1.659 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.659 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.659 * [taylor]: Taking taylor expansion of 0.5 in x 1.659 * [taylor]: Taking taylor expansion of x in x 1.659 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.659 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.659 * [taylor]: Taking taylor expansion of x in x 1.660 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 1.660 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.660 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 1.660 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 1.660 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.660 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.660 * [taylor]: Taking taylor expansion of 0.5 in x 1.660 * [taylor]: Taking taylor expansion of x in x 1.660 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.660 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.661 * [taylor]: Taking taylor expansion of x in x 1.676 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in (x) around 0 1.676 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 1.676 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.676 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 1.676 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 1.676 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.676 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.676 * [taylor]: Taking taylor expansion of -0.5 in x 1.676 * [taylor]: Taking taylor expansion of x in x 1.676 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.676 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.677 * [taylor]: Taking taylor expansion of -1 in x 1.677 * [taylor]: Taking taylor expansion of x in x 1.677 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 1.677 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.677 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 1.677 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 1.677 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.677 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.677 * [taylor]: Taking taylor expansion of -0.5 in x 1.677 * [taylor]: Taking taylor expansion of x in x 1.678 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.678 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.678 * [taylor]: Taking taylor expansion of -1 in x 1.678 * [taylor]: Taking taylor expansion of x in x 1.692 * * * [progress]: simplifying candidates 1.694 * [simplify]: Simplifying using # : (expm1 (/ (sin x) (sin (* 0.5 x)))) (log1p (/ (sin x) (sin (* 0.5 x)))) (- (log (sin x)) (log (sin (* 0.5 x)))) (log (/ (sin x) (sin (* 0.5 x)))) (exp (/ (sin x) (sin (* 0.5 x)))) (/ (* (* (sin x) (sin x)) (sin x)) (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x)))) (* (cbrt (/ (sin x) (sin (* 0.5 x)))) (cbrt (/ (sin x) (sin (* 0.5 x))))) (cbrt (/ (sin x) (sin (* 0.5 x)))) (* (* (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 x)))) (sqrt (/ (sin x) (sin (* 0.5 x)))) (sqrt (/ (sin x) (sin (* 0.5 x)))) (- (sin x)) (- (sin (* 0.5 x))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (cbrt (sin x)) (cbrt (sin (* 0.5 x)))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (sin (* 0.5 x)))) (/ (cbrt (sin x)) (sqrt (sin (* 0.5 x)))) (/ (* (cbrt (sin x)) (cbrt (sin x))) 1) (/ (cbrt (sin x)) (sin (* 0.5 x))) (/ (sqrt (sin x)) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (sqrt (sin x)) (cbrt (sin (* 0.5 x)))) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (/ (sqrt (sin x)) 1) (/ (sqrt (sin x)) (sin (* 0.5 x))) (/ 1 (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (sin x) (cbrt (sin (* 0.5 x)))) (/ 1 (sqrt (sin (* 0.5 x)))) (/ (sin x) (sqrt (sin (* 0.5 x)))) (/ 1 1) (/ (sin x) (sin (* 0.5 x))) (/ 1 (sin (* 0.5 x))) (/ (sin (* 0.5 x)) (sin x)) (/ (sin x) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (sin x) (sqrt (sin (* 0.5 x)))) (/ (sin x) 1) (/ (sin (* 0.5 x)) (cbrt (sin x))) (/ (sin (* 0.5 x)) (sqrt (sin x))) (/ (sin (* 0.5 x)) (sin x)) (expm1 (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (log1p (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (* (/ (sin x) (sin (* 0.5 x))) 3.0) (+ (- (log (sin x)) (log (sin (* 0.5 x)))) (log 3.0)) (+ (log (/ (sin x) (sin (* 0.5 x)))) (log 3.0)) (log (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (exp (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (* (/ (* (* (sin x) (sin x)) (sin x)) (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x)))) (* (* 3.0 3.0) 3.0)) (* (* (* (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 x)))) (* (* 3.0 3.0) 3.0)) (* (cbrt (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (cbrt (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (cbrt (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (* (* (* (/ (sin x) (sin (* 0.5 x))) 3.0) (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (sqrt (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (sqrt (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (* (sqrt (/ (sin x) (sin (* 0.5 x)))) (sqrt 3.0)) (* (sqrt (/ (sin x) (sin (* 0.5 x)))) (sqrt 3.0)) (* (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (sqrt 3.0)) (* (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (sqrt 3.0)) (* (/ (sin x) (sin (* 0.5 x))) (* (cbrt 3.0) (cbrt 3.0))) (* (/ (sin x) (sin (* 0.5 x))) (sqrt 3.0)) (* (/ (sin x) (sin (* 0.5 x))) 1) (* (cbrt (/ (sin x) (sin (* 0.5 x)))) 3.0) (* (sqrt (/ (sin x) (sin (* 0.5 x)))) 3.0) (* (/ (cbrt (sin x)) (cbrt (sin (* 0.5 x)))) 3.0) (* (/ (cbrt (sin x)) (sqrt (sin (* 0.5 x)))) 3.0) (* (/ (cbrt (sin x)) (sin (* 0.5 x))) 3.0) (* (/ (sqrt (sin x)) (cbrt (sin (* 0.5 x)))) 3.0) (* (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) 3.0) (* (/ (sqrt (sin x)) (sin (* 0.5 x))) 3.0) (* (/ (sin x) (cbrt (sin (* 0.5 x)))) 3.0) (* (/ (sin x) (sqrt (sin (* 0.5 x)))) 3.0) (* (/ (sin x) (sin (* 0.5 x))) 3.0) (* (/ (sin x) (sin (* 0.5 x))) 3.0) (* (/ 1 (sin (* 0.5 x))) 3.0) (* (sin x) 3.0) (expm1 (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (log1p (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (- (+ (log 8.0) (log (sin (* x 0.5)))) (+ (- (log (sin x)) (log (sin (* 0.5 x)))) (log 3.0))) (- (+ (log 8.0) (log (sin (* x 0.5)))) (+ (log (/ (sin x) (sin (* 0.5 x)))) (log 3.0))) (- (+ (log 8.0) (log (sin (* x 0.5)))) (log (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (- (log (* 8.0 (sin (* x 0.5)))) (+ (- (log (sin x)) (log (sin (* 0.5 x)))) (log 3.0))) (- (log (* 8.0 (sin (* x 0.5)))) (+ (log (/ (sin x) (sin (* 0.5 x)))) (log 3.0))) (- (log (* 8.0 (sin (* x 0.5)))) (log (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (log (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (exp (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (/ (* (* (* 8.0 8.0) 8.0) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (/ (* (* (sin x) (sin x)) (sin x)) (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x)))) (* (* 3.0 3.0) 3.0))) (/ (* (* (* 8.0 8.0) 8.0) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* (* (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 x)))) (* (* 3.0 3.0) 3.0))) (/ (* (* (* 8.0 8.0) 8.0) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* (* (/ (sin x) (sin (* 0.5 x))) 3.0) (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (/ (* (* (* 8.0 (sin (* x 0.5))) (* 8.0 (sin (* x 0.5)))) (* 8.0 (sin (* x 0.5)))) (* (/ (* (* (sin x) (sin x)) (sin x)) (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x)))) (* (* 3.0 3.0) 3.0))) (/ (* (* (* 8.0 (sin (* x 0.5))) (* 8.0 (sin (* x 0.5)))) (* 8.0 (sin (* x 0.5)))) (* (* (* (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 x)))) (* (* 3.0 3.0) 3.0))) (/ (* (* (* 8.0 (sin (* x 0.5))) (* 8.0 (sin (* x 0.5)))) (* 8.0 (sin (* x 0.5)))) (* (* (* (/ (sin x) (sin (* 0.5 x))) 3.0) (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (* (cbrt (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (cbrt (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0)))) (cbrt (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (* (* (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (sqrt (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (sqrt (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (- (* 8.0 (sin (* x 0.5)))) (- (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (/ 8.0 (/ (sin x) (sin (* 0.5 x)))) (/ (sin (* x 0.5)) 3.0) (/ 1 (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (/ (* (/ (sin x) (sin (* 0.5 x))) 3.0) (* 8.0 (sin (* x 0.5)))) (/ (* 8.0 (sin (* x 0.5))) (/ (sin x) (sin (* 0.5 x)))) (/ (* (/ (sin x) (sin (* 0.5 x))) 3.0) (sin (* x 0.5))) (/ (* 8.0 (sin (* x 0.5))) (* (sin x) 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))) (- (+ (* 0.015625 (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)))) (+ (* 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))) 1.701 * * [simplify]: iteration 0 : 433 enodes (cost 924 ) 1.714 * * [simplify]: iteration 1 : 2228 enodes (cost 739 ) 1.755 * * [simplify]: iteration 2 : 5001 enodes (cost 723 ) 1.760 * [simplify]: Simplified to: (expm1 (/ (sin x) (sin (* 0.5 x)))) (log1p (/ (sin x) (sin (* 0.5 x)))) (log (/ (sin x) (sin (* 0.5 x)))) (log (/ (sin x) (sin (* 0.5 x)))) (exp (/ (sin x) (sin (* 0.5 x)))) (pow (/ (sin x) (sin (* 0.5 x))) 3) (* (cbrt (/ (sin x) (sin (* 0.5 x)))) (cbrt (/ (sin x) (sin (* 0.5 x))))) (cbrt (/ (sin x) (sin (* 0.5 x)))) (pow (/ (sin x) (sin (* 0.5 x))) 3) (sqrt (/ (sin x) (sin (* 0.5 x)))) (sqrt (/ (sin x) (sin (* 0.5 x)))) (- (sin x)) (- (sin (* x 0.5))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (cbrt (sin x)) (cbrt (sin (* 0.5 x)))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (sin (* 0.5 x)))) (/ (cbrt (sin x)) (pow (sin (* x 0.5)) 1/2)) (* (cbrt (sin x)) (cbrt (sin x))) (/ (cbrt (sin x)) (sin (* 0.5 x))) (/ (sqrt (sin x)) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (sqrt (sin x)) (cbrt (sin (* 0.5 x)))) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (sqrt (sin x)) (/ (sqrt (sin x)) (sin (* 0.5 x))) (/ 1 (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (sin x) (cbrt (sin (* 0.5 x)))) (/ 1 (sqrt (sin (* 0.5 x)))) (/ (sin x) (sqrt (sin (* 0.5 x)))) 1 (/ (sin x) (sin (* 0.5 x))) (/ 1 (sin (* 0.5 x))) (/ (sin (* 0.5 x)) (sin x)) (/ (sin x) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (sin x) (sqrt (sin (* 0.5 x)))) (sin x) (/ (sin (* 0.5 x)) (cbrt (sin x))) (/ (sin (* 0.5 x)) (sqrt (sin x))) (/ (sin (* 0.5 x)) (sin x)) (expm1 (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (log1p (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (* (/ (sin x) (sin (* 0.5 x))) 3.0) (log (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (log (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (log (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (exp (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (pow (* (/ (sin x) (sin (* 0.5 x))) 3.0) 3) (pow (* (/ (sin x) (sin (* 0.5 x))) 3.0) 3) (* (cbrt (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (cbrt (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (cbrt (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (pow (* (/ (sin x) (sin (* 0.5 x))) 3.0) 3) (sqrt (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (sqrt (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (* (sqrt (/ (sin x) (sin (* 0.5 x)))) (sqrt 3.0)) (* (sqrt (/ (sin x) (sin (* 0.5 x)))) (sqrt 3.0)) (* (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (sqrt 3.0)) (* (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (sqrt 3.0)) (* (/ (sin x) (sin (* 0.5 x))) (* (cbrt 3.0) (cbrt 3.0))) (* (/ (sin x) (sin (* 0.5 x))) (sqrt 3.0)) (/ (sin x) (sin (* 0.5 x))) (* (cbrt (/ (sin x) (sin (* 0.5 x)))) 3.0) (* (sqrt (/ (sin x) (sin (* 0.5 x)))) 3.0) (* (/ (cbrt (sin x)) (cbrt (sin (* 0.5 x)))) 3.0) (* (/ (cbrt (sin x)) (sqrt (sin (* 0.5 x)))) 3.0) (* (/ (cbrt (sin x)) (sin (* 0.5 x))) 3.0) (* (/ (sqrt (sin x)) (cbrt (sin (* 0.5 x)))) 3.0) (* (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) 3.0) (* (/ (sqrt (sin x)) (sin (* 0.5 x))) 3.0) (* (/ (sin x) (cbrt (sin (* 0.5 x)))) 3.0) (* (/ (sin x) (sqrt (sin (* 0.5 x)))) 3.0) (* (/ (sin x) (sin (* 0.5 x))) 3.0) (* (/ (sin x) (sin (* 0.5 x))) 3.0) (/ 3.0 (sin (* x 0.5))) (* (sin x) 3.0) (expm1 (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (log1p (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (+ (log (/ (pow (sin (* 0.5 x)) 2) (sin x))) (log (/ 8.0 3.0))) (+ (log (/ (pow (sin (* 0.5 x)) 2) (sin x))) (log (/ 8.0 3.0))) (+ (log (/ (pow (sin (* 0.5 x)) 2) (sin x))) (log (/ 8.0 3.0))) (+ (log (/ (pow (sin (* 0.5 x)) 2) (sin x))) (log (/ 8.0 3.0))) (+ (log (/ (pow (sin (* 0.5 x)) 2) (sin x))) (log (/ 8.0 3.0))) (+ (log (/ (pow (sin (* 0.5 x)) 2) (sin x))) (log (/ 8.0 3.0))) (+ (log (/ (pow (sin (* 0.5 x)) 2) (sin x))) (log (/ 8.0 3.0))) (pow (exp (/ (pow (sin (* 0.5 x)) 2) (sin x))) (/ 8.0 3.0)) (* (pow (/ (pow (sin (* 0.5 x)) 2) (sin x)) 3) (pow (/ 8.0 3.0) 3)) (* (pow (/ (pow (sin (* 0.5 x)) 2) (sin x)) 3) (pow (/ 8.0 3.0) 3)) (* (pow (/ (pow (sin (* 0.5 x)) 2) (sin x)) 3) (pow (/ 8.0 3.0) 3)) (* (pow (/ (pow (sin (* 0.5 x)) 2) (sin x)) 3) (pow (/ 8.0 3.0) 3)) (* (pow (/ (pow (sin (* 0.5 x)) 2) (sin x)) 3) (pow (/ 8.0 3.0) 3)) (* (pow (/ (pow (sin (* 0.5 x)) 2) (sin x)) 3) (pow (/ 8.0 3.0) 3)) (* (cbrt (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (cbrt (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0)))) (cbrt (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (* (pow (/ (pow (sin (* 0.5 x)) 2) (sin x)) 3) (pow (/ 8.0 3.0) 3)) (sqrt (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (sqrt (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (- (* 8.0 (sin (* x 0.5)))) (- (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (/ 8.0 (/ (sin x) (sin (* 0.5 x)))) (/ (sin (* x 0.5)) 3.0) (/ 1 (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (/ (* (sin x) 3.0) (* (pow (sin (* 0.5 x)) 2) 8.0)) (/ (* (pow (sin (* 0.5 x)) 2) 8.0) (sin x)) (/ (* (sin x) 3.0) (pow (sin (* 0.5 x)) 2)) (/ (* 8.0 (sin (* x 0.5))) (* (sin x) 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 (pow x 4) 0.015625 (- 6.0 (* 0.75 (pow x 2)))) (* (/ (sin x) (sin (* 0.5 x))) 3.0) (* (/ (sin x) (sin (* 0.5 x))) 3.0) (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))) 1.760 * * * [progress]: adding candidates to table 2.039 * * [progress]: iteration 4 / 4 2.039 * * * [progress]: picking best candidate 2.073 * * * * [pick]: Picked # 2.073 * * * [progress]: localizing error 2.092 * * * [progress]: generating rewritten candidates 2.092 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 2.098 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 2.104 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1) 2.108 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 2.146 * * * [progress]: generating series expansions 2.146 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 2.146 * [approximate]: Taking taylor expansion of (pow (/ (sin x) (sin (* 0.5 x))) 3) in (x) around 0 2.146 * [taylor]: Taking taylor expansion of (pow (/ (sin x) (sin (* 0.5 x))) 3) in x 2.146 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 2.146 * [taylor]: Taking taylor expansion of (sin x) in x 2.146 * [taylor]: Taking taylor expansion of x in x 2.146 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 2.146 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 2.146 * [taylor]: Taking taylor expansion of 0.5 in x 2.146 * [taylor]: Taking taylor expansion of x in x 2.156 * [taylor]: Taking taylor expansion of (pow (/ (sin x) (sin (* 0.5 x))) 3) in x 2.156 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 2.156 * [taylor]: Taking taylor expansion of (sin x) in x 2.156 * [taylor]: Taking taylor expansion of x in x 2.156 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 2.156 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 2.156 * [taylor]: Taking taylor expansion of 0.5 in x 2.156 * [taylor]: Taking taylor expansion of x in x 2.207 * [approximate]: Taking taylor expansion of (pow (/ (sin (/ 1 x)) (sin (/ 0.5 x))) 3) in (x) around 0 2.207 * [taylor]: Taking taylor expansion of (pow (/ (sin (/ 1 x)) (sin (/ 0.5 x))) 3) in x 2.207 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 2.207 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.207 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.207 * [taylor]: Taking taylor expansion of x in x 2.207 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.208 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.208 * [taylor]: Taking taylor expansion of 0.5 in x 2.208 * [taylor]: Taking taylor expansion of x in x 2.208 * [taylor]: Taking taylor expansion of (pow (/ (sin (/ 1 x)) (sin (/ 0.5 x))) 3) in x 2.208 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 2.208 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.208 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.208 * [taylor]: Taking taylor expansion of x in x 2.209 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.209 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.209 * [taylor]: Taking taylor expansion of 0.5 in x 2.209 * [taylor]: Taking taylor expansion of x in x 2.223 * [approximate]: Taking taylor expansion of (pow (/ (sin (/ -1 x)) (sin (/ -0.5 x))) 3) in (x) around 0 2.223 * [taylor]: Taking taylor expansion of (pow (/ (sin (/ -1 x)) (sin (/ -0.5 x))) 3) in x 2.223 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 2.224 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.224 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.224 * [taylor]: Taking taylor expansion of -1 in x 2.224 * [taylor]: Taking taylor expansion of x in x 2.224 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.224 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.224 * [taylor]: Taking taylor expansion of -0.5 in x 2.224 * [taylor]: Taking taylor expansion of x in x 2.225 * [taylor]: Taking taylor expansion of (pow (/ (sin (/ -1 x)) (sin (/ -0.5 x))) 3) in x 2.225 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 2.225 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.225 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.225 * [taylor]: Taking taylor expansion of -1 in x 2.225 * [taylor]: Taking taylor expansion of x in x 2.225 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.225 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.225 * [taylor]: Taking taylor expansion of -0.5 in x 2.225 * [taylor]: Taking taylor expansion of x in x 2.239 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 2.240 * [approximate]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in (x) around 0 2.240 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 2.240 * [taylor]: Taking taylor expansion of (sin x) in x 2.240 * [taylor]: Taking taylor expansion of x in x 2.240 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 2.240 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 2.240 * [taylor]: Taking taylor expansion of 0.5 in x 2.240 * [taylor]: Taking taylor expansion of x in x 2.244 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 2.244 * [taylor]: Taking taylor expansion of (sin x) in x 2.244 * [taylor]: Taking taylor expansion of x in x 2.244 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 2.244 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 2.244 * [taylor]: Taking taylor expansion of 0.5 in x 2.244 * [taylor]: Taking taylor expansion of x in x 2.283 * [approximate]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in (x) around 0 2.283 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 2.283 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.284 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.284 * [taylor]: Taking taylor expansion of x in x 2.284 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.284 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.284 * [taylor]: Taking taylor expansion of 0.5 in x 2.284 * [taylor]: Taking taylor expansion of x in x 2.284 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 2.284 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.284 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.285 * [taylor]: Taking taylor expansion of x in x 2.285 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.285 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.285 * [taylor]: Taking taylor expansion of 0.5 in x 2.285 * [taylor]: Taking taylor expansion of x in x 2.287 * [approximate]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in (x) around 0 2.288 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 2.288 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.288 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.288 * [taylor]: Taking taylor expansion of -1 in x 2.288 * [taylor]: Taking taylor expansion of x in x 2.288 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.288 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.288 * [taylor]: Taking taylor expansion of -0.5 in x 2.288 * [taylor]: Taking taylor expansion of x in x 2.289 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 2.289 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.289 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.289 * [taylor]: Taking taylor expansion of -1 in x 2.289 * [taylor]: Taking taylor expansion of x in x 2.289 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.289 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.290 * [taylor]: Taking taylor expansion of -0.5 in x 2.290 * [taylor]: Taking taylor expansion of x in x 2.292 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1) 2.292 * [approximate]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in (x) around 0 2.293 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 2.293 * [taylor]: Taking taylor expansion of (sin x) in x 2.293 * [taylor]: Taking taylor expansion of x in x 2.293 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 2.293 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 2.293 * [taylor]: Taking taylor expansion of 0.5 in x 2.293 * [taylor]: Taking taylor expansion of x in x 2.297 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 2.297 * [taylor]: Taking taylor expansion of (sin x) in x 2.297 * [taylor]: Taking taylor expansion of x in x 2.297 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 2.297 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 2.297 * [taylor]: Taking taylor expansion of 0.5 in x 2.297 * [taylor]: Taking taylor expansion of x in x 2.331 * [approximate]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in (x) around 0 2.331 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 2.331 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.331 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.331 * [taylor]: Taking taylor expansion of x in x 2.331 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.331 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.331 * [taylor]: Taking taylor expansion of 0.5 in x 2.331 * [taylor]: Taking taylor expansion of x in x 2.332 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 2.332 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.332 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.332 * [taylor]: Taking taylor expansion of x in x 2.332 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.332 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.332 * [taylor]: Taking taylor expansion of 0.5 in x 2.332 * [taylor]: Taking taylor expansion of x in x 2.335 * [approximate]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in (x) around 0 2.335 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 2.335 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.335 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.335 * [taylor]: Taking taylor expansion of -1 in x 2.335 * [taylor]: Taking taylor expansion of x in x 2.336 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.336 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.336 * [taylor]: Taking taylor expansion of -0.5 in x 2.336 * [taylor]: Taking taylor expansion of x in x 2.336 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 2.336 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.336 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.336 * [taylor]: Taking taylor expansion of -1 in x 2.336 * [taylor]: Taking taylor expansion of x in x 2.337 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.337 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.337 * [taylor]: Taking taylor expansion of -0.5 in x 2.337 * [taylor]: Taking taylor expansion of x in x 2.339 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 2.339 * [approximate]: Taking taylor expansion of (* 3.0 (/ (sin x) (sin (* 0.5 x)))) in (x) around 0 2.339 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sin x) (sin (* 0.5 x)))) in x 2.339 * [taylor]: Taking taylor expansion of 3.0 in x 2.339 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 2.339 * [taylor]: Taking taylor expansion of (sin x) in x 2.339 * [taylor]: Taking taylor expansion of x in x 2.339 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 2.340 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 2.340 * [taylor]: Taking taylor expansion of 0.5 in x 2.340 * [taylor]: Taking taylor expansion of x in x 2.344 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sin x) (sin (* 0.5 x)))) in x 2.344 * [taylor]: Taking taylor expansion of 3.0 in x 2.344 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 2.344 * [taylor]: Taking taylor expansion of (sin x) in x 2.344 * [taylor]: Taking taylor expansion of x in x 2.344 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 2.344 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 2.344 * [taylor]: Taking taylor expansion of 0.5 in x 2.344 * [taylor]: Taking taylor expansion of x in x 2.389 * [approximate]: Taking taylor expansion of (* 3.0 (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) in (x) around 0 2.389 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) in x 2.389 * [taylor]: Taking taylor expansion of 3.0 in x 2.389 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 2.389 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.389 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.389 * [taylor]: Taking taylor expansion of x in x 2.389 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.389 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.389 * [taylor]: Taking taylor expansion of 0.5 in x 2.389 * [taylor]: Taking taylor expansion of x in x 2.390 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) in x 2.390 * [taylor]: Taking taylor expansion of 3.0 in x 2.390 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 2.390 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.390 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.390 * [taylor]: Taking taylor expansion of x in x 2.390 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.390 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.390 * [taylor]: Taking taylor expansion of 0.5 in x 2.390 * [taylor]: Taking taylor expansion of x in x 2.399 * [approximate]: Taking taylor expansion of (* 3.0 (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) in (x) around 0 2.399 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) in x 2.399 * [taylor]: Taking taylor expansion of 3.0 in x 2.399 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 2.399 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.399 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.399 * [taylor]: Taking taylor expansion of -1 in x 2.399 * [taylor]: Taking taylor expansion of x in x 2.400 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.400 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.400 * [taylor]: Taking taylor expansion of -0.5 in x 2.400 * [taylor]: Taking taylor expansion of x in x 2.400 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) in x 2.400 * [taylor]: Taking taylor expansion of 3.0 in x 2.400 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 2.400 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.400 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.400 * [taylor]: Taking taylor expansion of -1 in x 2.400 * [taylor]: Taking taylor expansion of x in x 2.401 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.401 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.401 * [taylor]: Taking taylor expansion of -0.5 in x 2.401 * [taylor]: Taking taylor expansion of x in x 2.410 * * * [progress]: simplifying candidates 2.413 * [simplify]: Simplifying using 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(sin (* 0.5 x)))) 3)) 3.0) (* (cbrt (pow (/ (cbrt (sin x)) (sqrt (sin (* 0.5 x)))) 3)) 3.0) (* (cbrt (pow (/ (cbrt (sin x)) (sin (* 0.5 x))) 3)) 3.0) (* (cbrt (pow (/ (sqrt (sin x)) (cbrt (sin (* 0.5 x)))) 3)) 3.0) (* (cbrt (pow (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) 3)) 3.0) (* (cbrt (pow (/ (sqrt (sin x)) (sin (* 0.5 x))) 3)) 3.0) (* (cbrt (pow (/ (sin x) (cbrt (sin (* 0.5 x)))) 3)) 3.0) (* (cbrt (pow (/ (sin x) (sqrt (sin (* 0.5 x)))) 3)) 3.0) (* (cbrt (pow (/ (sin x) (sin (* 0.5 x))) 3)) 3.0) (* (cbrt (pow (/ (sin x) (sin (* 0.5 x))) 3)) 3.0) (* (cbrt (pow (/ 1 (sin (* 0.5 x))) 3)) 3.0) (* (cbrt (* (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x))))) 3.0) (* (cbrt (sqrt (pow (/ (sin x) (sin (* 0.5 x))) 3))) 3.0) (* (cbrt (pow (/ (sin x) (sin (* 0.5 x))) 3)) 3.0) (* (cbrt (pow (/ (sin x) (sin (* 0.5 x))) (/ 3 2))) 3.0) (* (cbrt (cbrt (pow (/ (sin x) (sin (* 0.5 x))) 3))) 3.0) (* (sqrt (cbrt (pow (/ (sin x) (sin (* 0.5 x))) 3))) 3.0) (* (cbrt (pow (/ (sin x) (sin (* 0.5 x))) 3)) 3.0) (* (cbrt (pow (sin x) 3)) 3.0) (- (+ (* 0.4375 (pow x 4)) 8.0) (* 3.0 (pow x 2))) (/ (pow (sin x) 3) (pow (sin (* 0.5 x)) 3)) (/ (pow (sin x) 3) (pow (sin (* 0.5 x)) 3)) (- (+ (* 0.005208333333333334 (pow x 4)) 2.0) (* 0.25 (pow x 2))) (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x))) (- (+ (* 0.005208333333333334 (pow x 4)) 2.0) (* 0.25 (pow x 2))) (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 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)))) 2.423 * * [simplify]: iteration 0 : 468 enodes (cost 1572 ) 2.435 * * [simplify]: iteration 1 : 2163 enodes (cost 1464 ) 2.487 * * [simplify]: iteration 2 : 5001 enodes (cost 1451 ) 2.494 * [simplify]: Simplified to: (expm1 (pow (/ (sin x) (sin (* 0.5 x))) 3)) (log1p (pow (/ (sin x) (sin (* 0.5 x))) 3)) (log (pow (/ (sin x) (sin (* 0.5 x))) 3)) (log (pow (/ (sin x) (sin (* 0.5 x))) 3)) (log (pow (/ (sin x) (sin (* 0.5 x))) 3)) 3 (pow (/ (sin x) 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(* 3.0 (/ (sqrt (sin x)) (cbrt (sin (* 0.5 x))))) (* 3.0 (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x))))) (* 3.0 (/ (sqrt (sin x)) (sin (* 0.5 x)))) (* 3.0 (/ (sin x) (cbrt (sin (* 0.5 x))))) (* 3.0 (/ (sin x) (sqrt (sin (* 0.5 x))))) (* 3.0 (/ (sin x) (sin (* 0.5 x)))) (* 3.0 (/ (sin x) (sin (* 0.5 x)))) (* 3.0 (/ 1 (sin (* 0.5 x)))) (* (cbrt (* (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x))))) 3.0) (* (cbrt (sqrt (pow (/ (sin x) (sin (* 0.5 x))) 3))) 3.0) (* 3.0 (/ (sin x) (sin (* 0.5 x)))) (* 3.0 (sqrt (/ (sin x) (sin (* 0.5 x))))) (* (cbrt (/ (sin x) (sin (* 0.5 x)))) 3.0) (* 3.0 (sqrt (/ (sin x) (sin (* 0.5 x))))) (* 3.0 (/ (sin x) (sin (* 0.5 x)))) (* 3.0 (sin x)) (fma (pow x 4) 0.4375 (- 8.0 (* 3.0 (pow x 2)))) (pow (/ (sin x) (sin (* 0.5 x))) 3) (pow (/ (sin x) (sin (* 0.5 x))) 3) (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 (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 (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)))) 2.495 * * * [progress]: adding candidates to table 3.020 * [progress]: [Phase 3 of 3] Extracting. 3.020 * * [regime]: Finding splitpoints for: (# # # # # # # # # #) 3.023 * * * [regime-changes]: Trying 1 branch expressions: (x) 3.023 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # #) 3.068 * * * [regime]: Found split indices: #