11.697 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.058 * * * [progress]: [2/2] Setting up program. 0.061 * [progress]: [Phase 2 of 3] Improving. 0.061 * [simplify]: Simplifying using # : (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x)) 0.064 * * [simplify]: iteration 0 : 20 enodes (cost 9 ) 0.066 * * [simplify]: iteration 1 : 43 enodes (cost 9 ) 0.069 * * [simplify]: iteration 2 : 93 enodes (cost 9 ) 0.071 * * [simplify]: iteration 3 : 174 enodes (cost 9 ) 0.075 * * [simplify]: iteration 4 : 269 enodes (cost 9 ) 0.079 * * [simplify]: iteration 5 : 288 enodes (cost 9 ) 0.083 * * [simplify]: iteration 6 : 288 enodes (cost 9 ) 0.084 * [simplify]: Simplified to: (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x)) 0.084 * * [progress]: iteration 1 / 4 0.084 * * * [progress]: picking best candidate 0.086 * * * * [pick]: Picked # 0.087 * * * [progress]: localizing error 0.098 * * * [progress]: generating rewritten candidates 0.098 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.118 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.129 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.159 * * * [progress]: generating series expansions 0.159 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.160 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in (x) around 0 0.160 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.160 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.160 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 0.160 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.160 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.160 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.160 * [taylor]: Taking taylor expansion of 0.5 in x 0.160 * [taylor]: Taking taylor expansion of x in x 0.163 * [taylor]: Taking taylor expansion of (sin x) in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.164 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.164 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.164 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 0.164 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.165 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.165 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.165 * [taylor]: Taking taylor expansion of 0.5 in x 0.165 * [taylor]: Taking taylor expansion of x in x 0.168 * [taylor]: Taking taylor expansion of (sin x) in x 0.168 * [taylor]: Taking taylor expansion of x in x 0.208 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in (x) around 0 0.208 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 0.208 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.208 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 0.208 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.208 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.208 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.208 * [taylor]: Taking taylor expansion of 0.5 in x 0.208 * [taylor]: Taking taylor expansion of x in x 0.208 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.208 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.208 * [taylor]: Taking taylor expansion of x in x 0.209 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 0.209 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.209 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 0.209 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.209 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.209 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.209 * [taylor]: Taking taylor expansion of 0.5 in x 0.209 * [taylor]: Taking taylor expansion of x in x 0.209 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.209 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.209 * [taylor]: Taking taylor expansion of x in x 0.224 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in (x) around 0 0.225 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.225 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.225 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 0.225 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.225 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.225 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.225 * [taylor]: Taking taylor expansion of -0.5 in x 0.225 * [taylor]: Taking taylor expansion of x in x 0.225 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.225 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.225 * [taylor]: Taking taylor expansion of -1 in x 0.225 * [taylor]: Taking taylor expansion of x in x 0.226 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.226 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.226 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 0.226 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.226 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.226 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.226 * [taylor]: Taking taylor expansion of -0.5 in x 0.226 * [taylor]: Taking taylor expansion of x in x 0.226 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.226 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.226 * [taylor]: Taking taylor expansion of -1 in x 0.226 * [taylor]: Taking taylor expansion of x in x 0.241 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.241 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in (x) around 0 0.242 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 0.242 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.242 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.242 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.242 * [taylor]: Taking taylor expansion of 0.5 in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.243 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 0.243 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.243 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.243 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.243 * [taylor]: Taking taylor expansion of 0.5 in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.273 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in (x) around 0 0.273 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 0.273 * [taylor]: Taking taylor expansion of 2.6666666666666665 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 0.274 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 0.274 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.274 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.274 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.274 * [taylor]: Taking taylor expansion of 0.5 in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.280 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in (x) around 0 0.280 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 0.280 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.280 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.280 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.280 * [taylor]: Taking taylor expansion of -0.5 in x 0.280 * [taylor]: Taking taylor expansion of x in x 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 0.281 * [taylor]: Taking taylor expansion of -0.5 in x 0.281 * [taylor]: Taking taylor expansion of x in x 0.287 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.288 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (* 0.5 x)) 2)) in (x) around 0 0.288 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (* 0.5 x)) 2)) in x 0.288 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.288 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.288 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.288 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.288 * [taylor]: Taking taylor expansion of 0.5 in x 0.288 * [taylor]: Taking taylor expansion of x in x 0.291 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (* 0.5 x)) 2)) in x 0.291 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.291 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.291 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.291 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.291 * [taylor]: Taking taylor expansion of 0.5 in x 0.291 * [taylor]: Taking taylor expansion of x in x 0.321 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ 0.5 x)) 2)) in (x) around 0 0.321 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ 0.5 x)) 2)) in x 0.321 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.321 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.321 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.321 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.321 * [taylor]: Taking taylor expansion of 0.5 in x 0.321 * [taylor]: Taking taylor expansion of x in x 0.321 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ 0.5 x)) 2)) in x 0.321 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.321 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.321 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.321 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.321 * [taylor]: Taking taylor expansion of 0.5 in x 0.321 * [taylor]: Taking taylor expansion of x in x 0.333 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ -0.5 x)) 2)) in (x) around 0 0.333 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ -0.5 x)) 2)) in x 0.333 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.333 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.333 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.333 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.333 * [taylor]: Taking taylor expansion of -0.5 in x 0.333 * [taylor]: Taking taylor expansion of x in x 0.333 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ -0.5 x)) 2)) in x 0.333 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.333 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.333 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.333 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.333 * [taylor]: Taking taylor expansion of -0.5 in x 0.333 * [taylor]: Taking taylor expansion of x in x 0.351 * * * [progress]: simplifying candidates 0.352 * [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)) 0.359 * * [simplify]: iteration 0 : 412 enodes (cost 862 ) 0.370 * * [simplify]: iteration 1 : 2127 enodes (cost 656 ) 0.411 * * [simplify]: iteration 2 : 5001 enodes (cost 637 ) 0.415 * [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)) 0.415 * * * [progress]: adding candidates to table 0.650 * * [progress]: iteration 2 / 4 0.651 * * * [progress]: picking best candidate 0.683 * * * * [pick]: Picked # 0.683 * * * [progress]: localizing error 0.697 * * * [progress]: generating rewritten candidates 0.697 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.707 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.711 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.727 * * * [progress]: generating series expansions 0.727 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.728 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in (x) around 0 0.728 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 0.728 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.728 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.728 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.728 * [taylor]: Taking taylor expansion of 0.5 in x 0.728 * [taylor]: Taking taylor expansion of x in x 0.729 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 0.729 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.729 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.729 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.729 * [taylor]: Taking taylor expansion of 0.5 in x 0.729 * [taylor]: Taking taylor expansion of x in x 0.754 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in (x) around 0 0.754 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 0.754 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.754 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.754 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.754 * [taylor]: Taking taylor expansion of 0.5 in x 0.754 * [taylor]: Taking taylor expansion of x in x 0.755 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 0.755 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.755 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.755 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.755 * [taylor]: Taking taylor expansion of 0.5 in x 0.755 * [taylor]: Taking taylor expansion of x in x 0.761 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in (x) around 0 0.761 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 0.761 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.761 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.761 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.761 * [taylor]: Taking taylor expansion of -0.5 in x 0.761 * [taylor]: Taking taylor expansion of x in x 0.762 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 0.762 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.762 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.762 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.762 * [taylor]: Taking taylor expansion of -0.5 in x 0.762 * [taylor]: Taking taylor expansion of x in x 0.775 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.775 * [approximate]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in (x) around 0 0.775 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 0.775 * [taylor]: Taking taylor expansion of (sin x) in x 0.775 * [taylor]: Taking taylor expansion of x in x 0.775 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.775 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.775 * [taylor]: Taking taylor expansion of 0.5 in x 0.775 * [taylor]: Taking taylor expansion of x in x 0.779 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 0.779 * [taylor]: Taking taylor expansion of (sin x) in x 0.779 * [taylor]: Taking taylor expansion of x in x 0.779 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.779 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.779 * [taylor]: Taking taylor expansion of 0.5 in x 0.779 * [taylor]: Taking taylor expansion of x in x 0.811 * [approximate]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in (x) around 0 0.811 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 0.811 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.811 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.811 * [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 0.812 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 0.812 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.812 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.812 * [taylor]: Taking taylor expansion of x in x 0.813 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.813 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.813 * [taylor]: Taking taylor expansion of 0.5 in x 0.813 * [taylor]: Taking taylor expansion of x in x 0.815 * [approximate]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in (x) around 0 0.815 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 0.815 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.815 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.815 * [taylor]: Taking taylor expansion of -1 in x 0.815 * [taylor]: Taking taylor expansion of x in x 0.816 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.816 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.816 * [taylor]: Taking taylor expansion of -0.5 in x 0.816 * [taylor]: Taking taylor expansion of x in x 0.816 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 0.816 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.816 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.816 * [taylor]: Taking taylor expansion of -1 in x 0.816 * [taylor]: Taking taylor expansion of x in x 0.817 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.817 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.817 * [taylor]: Taking taylor expansion of -0.5 in x 0.817 * [taylor]: Taking taylor expansion of x in x 0.819 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.820 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in (x) around 0 0.820 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.820 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.820 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 0.820 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.820 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.820 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.820 * [taylor]: Taking taylor expansion of 0.5 in x 0.820 * [taylor]: Taking taylor expansion of x in x 0.823 * [taylor]: Taking taylor expansion of (sin x) in x 0.823 * [taylor]: Taking taylor expansion of x in x 0.824 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.824 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.824 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 0.824 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.824 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.824 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.824 * [taylor]: Taking taylor expansion of 0.5 in x 0.824 * [taylor]: Taking taylor expansion of x in x 0.827 * [taylor]: Taking taylor expansion of (sin x) in x 0.827 * [taylor]: Taking taylor expansion of x in x 0.873 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in (x) around 0 0.873 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 0.873 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.873 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 0.873 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.873 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.873 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.873 * [taylor]: Taking taylor expansion of 0.5 in x 0.873 * [taylor]: Taking taylor expansion of x in x 0.873 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.873 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.874 * [taylor]: Taking taylor expansion of x in x 0.874 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 0.874 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.874 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 0.874 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.874 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.874 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.874 * [taylor]: Taking taylor expansion of 0.5 in x 0.874 * [taylor]: Taking taylor expansion of x in x 0.875 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.875 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.875 * [taylor]: Taking taylor expansion of x in x 0.890 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in (x) around 0 0.890 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.890 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.890 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 0.890 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.890 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.890 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.890 * [taylor]: Taking taylor expansion of -0.5 in x 0.890 * [taylor]: Taking taylor expansion of x in x 0.890 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.890 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.890 * [taylor]: Taking taylor expansion of -1 in x 0.890 * [taylor]: Taking taylor expansion of x in x 0.891 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.891 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.891 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 0.891 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.891 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.891 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.891 * [taylor]: Taking taylor expansion of -0.5 in x 0.891 * [taylor]: Taking taylor expansion of x in x 0.891 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.891 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.891 * [taylor]: Taking taylor expansion of -1 in x 0.891 * [taylor]: Taking taylor expansion of x in x 0.906 * * * [progress]: simplifying candidates 0.908 * [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 (* (/ 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 (/ (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 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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))) 0.982 * * * [progress]: adding candidates to table 1.339 * * [progress]: iteration 3 / 4 1.339 * * * [progress]: picking best candidate 1.372 * * * * [pick]: Picked # 1.372 * * * [progress]: localizing error 1.383 * * * [progress]: generating rewritten candidates 1.383 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 1.387 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 1.397 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 2) 1.403 * * * [progress]: generating series expansions 1.403 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 1.404 * [approximate]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in (x) around 0 1.404 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 1.404 * [taylor]: Taking taylor expansion of (sin x) in x 1.404 * [taylor]: Taking taylor expansion of x in x 1.404 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.404 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.404 * [taylor]: Taking taylor expansion of 0.5 in x 1.404 * [taylor]: Taking taylor expansion of x in x 1.408 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 1.408 * [taylor]: Taking taylor expansion of (sin x) in x 1.408 * [taylor]: Taking taylor expansion of x in x 1.408 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.408 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.408 * [taylor]: Taking taylor expansion of 0.5 in x 1.408 * [taylor]: Taking taylor expansion of x in x 1.444 * [approximate]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in (x) around 0 1.444 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 1.444 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.444 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.445 * [taylor]: Taking taylor expansion of x in x 1.445 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.445 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.445 * [taylor]: Taking taylor expansion of 0.5 in x 1.445 * [taylor]: Taking taylor expansion of x in x 1.445 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 1.445 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.445 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.446 * [taylor]: Taking taylor expansion of x in x 1.446 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.446 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.446 * [taylor]: Taking taylor expansion of 0.5 in x 1.446 * [taylor]: Taking taylor expansion of x in x 1.449 * [approximate]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in (x) around 0 1.449 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 1.449 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.449 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.449 * [taylor]: Taking taylor expansion of -1 in x 1.449 * [taylor]: Taking taylor expansion of x in x 1.449 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.450 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.450 * [taylor]: Taking taylor expansion of -0.5 in x 1.450 * [taylor]: Taking taylor expansion of x in x 1.450 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 1.450 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.450 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.450 * [taylor]: Taking taylor expansion of -1 in x 1.450 * [taylor]: Taking taylor expansion of x in x 1.451 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.451 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.451 * [taylor]: Taking taylor expansion of -0.5 in x 1.451 * [taylor]: Taking taylor expansion of x in x 1.453 * * * * [progress]: [ 2 / 3 ] generating series at (2) 1.454 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in (x) around 0 1.454 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 1.454 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.454 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 1.454 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 1.454 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.454 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.454 * [taylor]: Taking taylor expansion of 0.5 in x 1.454 * [taylor]: Taking taylor expansion of x in x 1.458 * [taylor]: Taking taylor expansion of (sin 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 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 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 1.462 * [taylor]: Taking taylor expansion of (sin x) in x 1.463 * [taylor]: Taking taylor expansion of x in x 1.503 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in (x) around 0 1.504 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 1.504 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.504 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 1.504 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 1.504 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.504 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.504 * [taylor]: Taking taylor expansion of 0.5 in x 1.504 * [taylor]: Taking taylor expansion of x in x 1.504 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.504 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.504 * [taylor]: Taking taylor expansion of x in x 1.505 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 1.505 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.505 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 1.505 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 1.505 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.505 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.505 * [taylor]: Taking taylor expansion of 0.5 in x 1.505 * [taylor]: Taking taylor expansion of x in x 1.505 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.505 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.505 * [taylor]: Taking taylor expansion of x in x 1.520 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in (x) around 0 1.520 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 1.520 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.520 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 1.520 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 1.520 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.520 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.520 * [taylor]: Taking taylor expansion of -0.5 in x 1.520 * [taylor]: Taking taylor expansion of x in x 1.521 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.521 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.521 * [taylor]: Taking taylor expansion of -1 in x 1.521 * [taylor]: Taking taylor expansion of x in x 1.521 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 1.521 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.521 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 1.521 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 1.521 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.521 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.521 * [taylor]: Taking taylor expansion of -0.5 in x 1.521 * [taylor]: Taking taylor expansion of x in x 1.522 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.522 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.522 * [taylor]: Taking taylor expansion of -1 in x 1.522 * [taylor]: Taking taylor expansion of x in x 1.544 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 2) 1.544 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (sin (* 0.5 x))) in (x) around 0 1.544 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (* 0.5 x))) in x 1.544 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.544 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.544 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.544 * [taylor]: Taking taylor expansion of 0.5 in x 1.544 * [taylor]: Taking taylor expansion of x in x 1.545 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (* 0.5 x))) in x 1.545 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.545 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.546 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.546 * [taylor]: Taking taylor expansion of 0.5 in x 1.546 * [taylor]: Taking taylor expansion of x in x 1.569 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ 0.5 x))) in (x) around 0 1.569 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ 0.5 x))) in x 1.569 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.570 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.570 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.570 * [taylor]: Taking taylor expansion of 0.5 in x 1.570 * [taylor]: Taking taylor expansion of x in x 1.570 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ 0.5 x))) in x 1.570 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.570 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.570 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.570 * [taylor]: Taking taylor expansion of 0.5 in x 1.570 * [taylor]: Taking taylor expansion of x in x 1.577 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ -0.5 x))) in (x) around 0 1.577 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ -0.5 x))) in x 1.577 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.577 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.577 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.577 * [taylor]: Taking taylor expansion of -0.5 in x 1.577 * [taylor]: Taking taylor expansion of x in x 1.577 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ -0.5 x))) in x 1.577 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.577 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.577 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.577 * [taylor]: Taking taylor expansion of -0.5 in x 1.577 * [taylor]: Taking taylor expansion of x in x 1.584 * * * [progress]: simplifying candidates 1.586 * [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 (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin x) (sin (* 0.5 x))))) (log1p (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin x) (sin (* 0.5 x))))) (- (+ (log 8.0) (- (log (sin (* 0.5 x))) (log 3.0))) (- (log (sin x)) (log (sin (* 0.5 x))))) (- (+ (log 8.0) (- (log (sin (* 0.5 x))) (log 3.0))) (log (/ (sin x) (sin (* 0.5 x))))) (- (+ (log 8.0) (log (/ (sin (* 0.5 x)) 3.0))) (- (log (sin x)) (log (sin (* 0.5 x))))) (- (+ (log 8.0) (log (/ (sin (* 0.5 x)) 3.0))) (log (/ (sin x) (sin (* 0.5 x))))) (- (log (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (- (log (sin x)) (log (sin (* 0.5 x))))) (- (log (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (log (/ (sin x) (sin (* 0.5 x))))) (log (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin x) (sin (* 0.5 x))))) (exp (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin x) (sin (* 0.5 x))))) (/ (* (* (* 8.0 8.0) 8.0) (/ (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x))) (* (* 3.0 3.0) 3.0))) (/ (* (* (sin x) (sin x)) (sin x)) (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x))))) (/ (* (* (* 8.0 8.0) 8.0) (/ (* (* (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))))) (/ (* (* (* 8.0 8.0) 8.0) (* (* (/ (sin (* 0.5 x)) 3.0) (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) 3.0))) (/ (* (* (sin x) (sin x)) (sin x)) (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x))))) (/ (* (* (* 8.0 8.0) 8.0) (* (* (/ (sin (* 0.5 x)) 3.0) (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) 3.0))) (* (* (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 x))))) (/ (* (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (/ (* (* (sin x) (sin x)) (sin x)) (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x))))) (/ (* (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (* (* (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 x))))) (* (cbrt (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin x) (sin (* 0.5 x))))) (cbrt (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin x) (sin (* 0.5 x)))))) (cbrt (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin x) (sin (* 0.5 x))))) (* (* (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin x) (sin (* 0.5 x)))) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin x) (sin (* 0.5 x))))) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin x) (sin (* 0.5 x))))) (sqrt (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin x) (sin (* 0.5 x))))) (sqrt (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin x) (sin (* 0.5 x))))) (- (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (- (/ (sin x) (sin (* 0.5 x)))) (/ 8.0 (* (cbrt (/ (sin x) (sin (* 0.5 x)))) (cbrt (/ (sin x) (sin (* 0.5 x)))))) (/ (/ (sin (* 0.5 x)) 3.0) (cbrt (/ (sin x) (sin (* 0.5 x))))) (/ 8.0 (sqrt (/ (sin x) (sin (* 0.5 x))))) (/ (/ (sin (* 0.5 x)) 3.0) (sqrt (/ (sin x) (sin (* 0.5 x))))) (/ 8.0 (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))))) (/ (/ (sin (* 0.5 x)) 3.0) (/ (cbrt (sin x)) (cbrt (sin (* 0.5 x))))) (/ 8.0 (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (sin (* 0.5 x))))) (/ (/ (sin (* 0.5 x)) 3.0) (/ (cbrt (sin x)) (sqrt (sin (* 0.5 x))))) (/ 8.0 (/ (* (cbrt (sin x)) (cbrt (sin x))) 1)) (/ (/ (sin (* 0.5 x)) 3.0) (/ (cbrt (sin x)) (sin (* 0.5 x)))) (/ 8.0 (/ (sqrt (sin x)) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))))) (/ (/ (sin (* 0.5 x)) 3.0) (/ (sqrt (sin x)) (cbrt (sin (* 0.5 x))))) (/ 8.0 (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x))))) (/ (/ (sin (* 0.5 x)) 3.0) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x))))) (/ 8.0 (/ (sqrt (sin x)) 1)) (/ (/ (sin (* 0.5 x)) 3.0) (/ (sqrt (sin x)) (sin (* 0.5 x)))) (/ 8.0 (/ 1 (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))))) (/ (/ (sin (* 0.5 x)) 3.0) (/ (sin x) (cbrt (sin (* 0.5 x))))) (/ 8.0 (/ 1 (sqrt (sin (* 0.5 x))))) (/ (/ (sin (* 0.5 x)) 3.0) (/ (sin x) (sqrt (sin (* 0.5 x))))) (/ 8.0 (/ 1 1)) (/ (/ (sin (* 0.5 x)) 3.0) (/ (sin x) (sin (* 0.5 x)))) (/ 8.0 1) (/ (/ (sin (* 0.5 x)) 3.0) (/ (sin x) (sin (* 0.5 x)))) (/ 8.0 (sin x)) (/ (/ (sin (* 0.5 x)) 3.0) (/ 1 (sin (* 0.5 x)))) (/ 1 (/ (sin x) (sin (* 0.5 x)))) (/ (/ (sin x) (sin (* 0.5 x))) (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (* (cbrt (/ (sin x) (sin (* 0.5 x)))) (cbrt (/ (sin x) (sin (* 0.5 x)))))) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sqrt (/ (sin x) (sin (* 0.5 x))))) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))))) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (sin (* 0.5 x))))) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (* (cbrt (sin x)) (cbrt (sin x))) 1)) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sqrt (sin x)) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))))) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x))))) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sqrt (sin x)) 1)) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ 1 (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))))) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ 1 (sqrt (sin (* 0.5 x))))) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ 1 1)) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) 1) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x)) (/ (/ (sin x) (sin (* 0.5 x))) (/ (sin (* 0.5 x)) 3.0)) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x)) (* (/ (sin x) (sin (* 0.5 x))) 3.0) (expm1 (/ (sin (* 0.5 x)) 3.0)) (log1p (/ (sin (* 0.5 x)) 3.0)) (- (log (sin (* 0.5 x))) (log 3.0)) (log (/ (sin (* 0.5 x)) 3.0)) (exp (/ (sin (* 0.5 x)) 3.0)) (/ (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x))) (* (* 3.0 3.0) 3.0)) (* (cbrt (/ (sin (* 0.5 x)) 3.0)) (cbrt (/ (sin (* 0.5 x)) 3.0))) (cbrt (/ (sin (* 0.5 x)) 3.0)) (* (* (/ (sin (* 0.5 x)) 3.0) (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) 3.0)) (sqrt (/ (sin (* 0.5 x)) 3.0)) (sqrt (/ (sin (* 0.5 x)) 3.0)) (- (sin (* 0.5 x))) (- 3.0) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (* (cbrt 3.0) (cbrt 3.0))) (/ (cbrt (sin (* 0.5 x))) (cbrt 3.0)) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (sqrt 3.0)) (/ (cbrt (sin (* 0.5 x))) (sqrt 3.0)) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) 1) (/ (cbrt (sin (* 0.5 x))) 3.0) (/ (sqrt (sin (* 0.5 x))) (* (cbrt 3.0) (cbrt 3.0))) (/ (sqrt (sin (* 0.5 x))) (cbrt 3.0)) (/ (sqrt (sin (* 0.5 x))) (sqrt 3.0)) (/ (sqrt (sin (* 0.5 x))) (sqrt 3.0)) (/ (sqrt (sin (* 0.5 x))) 1) (/ (sqrt (sin (* 0.5 x))) 3.0) (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (sin (* 0.5 x)) (cbrt 3.0)) (/ 1 (sqrt 3.0)) (/ (sin (* 0.5 x)) (sqrt 3.0)) (/ 1 1) (/ (sin (* 0.5 x)) 3.0) (/ 1 3.0) (/ 3.0 (sin (* 0.5 x))) (/ (sin (* 0.5 x)) (* (cbrt 3.0) (cbrt 3.0))) (/ (sin (* 0.5 x)) (sqrt 3.0)) (/ (sin (* 0.5 x)) 1) (/ 3.0 (cbrt (sin (* 0.5 x)))) (/ 3.0 (sqrt (sin (* 0.5 x)))) (/ 3.0 (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))) (- (+ (* 0.16666666666666666 x) (* 8.680555555555555e-05 (pow x 5))) (* 0.006944444444444444 (pow x 3))) (* 0.3333333333333333 (sin (* 0.5 x))) (* 0.3333333333333333 (sin (* 0.5 x))) 1.594 * * [simplify]: iteration 0 : 514 enodes (cost 1168 ) 1.608 * * [simplify]: iteration 1 : 2579 enodes (cost 1010 ) 1.654 * * [simplify]: iteration 2 : 5001 enodes (cost 984 ) 1.659 * [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 (* 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))) (/ (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 (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin x) (sin (* 0.5 x))))) (log1p (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin x) (sin (* 0.5 x))))) (+ (log (/ 8.0 (sin x))) (log (/ (pow (sin (* 0.5 x)) 2) 3.0))) (+ (log (/ 8.0 (sin x))) (log (/ (pow (sin (* 0.5 x)) 2) 3.0))) (+ (log (/ 8.0 (sin x))) (log (/ (pow (sin (* 0.5 x)) 2) 3.0))) (+ (log (/ 8.0 (sin x))) (log (/ (pow (sin (* 0.5 x)) 2) 3.0))) (+ (log (/ 8.0 (sin x))) (log (/ (pow (sin (* 0.5 x)) 2) 3.0))) (+ (log (/ 8.0 (sin x))) (log (/ (pow (sin (* 0.5 x)) 2) 3.0))) (+ (log (/ 8.0 (sin x))) (log (/ (pow (sin (* 0.5 x)) 2) 3.0))) (pow (exp (/ 8.0 (sin x))) (/ (pow (sin (* 0.5 x)) 2) 3.0)) (pow (* (/ 8.0 (sin x)) (/ (pow (sin (* 0.5 x)) 2) 3.0)) 3) (pow (* (/ 8.0 (sin x)) (/ (pow (sin (* 0.5 x)) 2) 3.0)) 3) (pow (* (/ 8.0 (sin x)) (/ (pow (sin (* 0.5 x)) 2) 3.0)) 3) (pow (* (/ 8.0 (sin x)) (/ (pow (sin (* 0.5 x)) 2) 3.0)) 3) (pow (* (/ 8.0 (sin x)) (/ (pow (sin (* 0.5 x)) 2) 3.0)) 3) (pow (* (/ 8.0 (sin x)) (/ (pow (sin (* 0.5 x)) 2) 3.0)) 3) (* (cbrt (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin x) (sin (* 0.5 x))))) (cbrt (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin x) (sin (* 0.5 x)))))) (cbrt (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin x) (sin (* 0.5 x))))) (pow (* (/ 8.0 (sin x)) (/ (pow (sin (* 0.5 x)) 2) 3.0)) 3) (sqrt (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin x) (sin (* 0.5 x))))) (sqrt (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin x) (sin (* 0.5 x))))) (- (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (- (/ (sin x) (sin (* 0.5 x)))) (/ 8.0 (* (cbrt (/ (sin x) (sin (* 0.5 x)))) (cbrt (/ (sin x) (sin (* 0.5 x)))))) (/ (/ (sin (* 0.5 x)) 3.0) (cbrt (/ (sin x) (sin (* 0.5 x))))) (/ 8.0 (sqrt (/ (sin x) (sin (* 0.5 x))))) (/ (/ (sin (* 0.5 x)) 3.0) (sqrt (/ (sin x) (sin (* 0.5 x))))) (/ 8.0 (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))))) (/ (/ (sin (* 0.5 x)) 3.0) (/ (cbrt (sin x)) (cbrt (sin (* 0.5 x))))) (/ 8.0 (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (sin (* 0.5 x))))) (/ (/ (sin (* 0.5 x)) 3.0) (/ (cbrt (sin x)) (sqrt (sin (* 0.5 x))))) (/ 8.0 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (/ (sin (* 0.5 x)) 3.0) (/ (cbrt (sin x)) (sin (* 0.5 x)))) (/ 8.0 (/ (sqrt (sin x)) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))))) (/ (/ (sin (* 0.5 x)) 3.0) (/ (sqrt (sin x)) (cbrt (sin (* 0.5 x))))) (/ 8.0 (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x))))) (/ (/ (sin (* 0.5 x)) 3.0) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x))))) (/ 8.0 (sqrt (sin x))) (/ (/ (sin (* 0.5 x)) 3.0) (/ (sqrt (sin x)) (sin (* 0.5 x)))) (* 8.0 (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (/ (sin (* 0.5 x)) 3.0) (/ (sin x) (cbrt (sin (* 0.5 x))))) (* 8.0 (sqrt (sin (* 0.5 x)))) (/ (/ (sin (* 0.5 x)) 3.0) (/ (sin x) (sqrt (sin (* 0.5 x))))) 8.0 (* (/ (pow (sin (* 0.5 x)) 2) (sin x)) (/ 1 3.0)) 8.0 (* (/ (pow (sin (* 0.5 x)) 2) (sin x)) (/ 1 3.0)) (/ 8.0 (sin x)) (/ (pow (sin (* 0.5 x)) 2) 3.0) (/ 1 (/ (sin x) (sin (* 0.5 x)))) (* (/ (sin x) 8.0) (/ 1 (/ (pow (sin (* 0.5 x)) 2) 3.0))) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (* (cbrt (/ (sin x) (sin (* 0.5 x)))) (cbrt (/ (sin x) (sin (* 0.5 x)))))) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sqrt (/ (sin x) (sin (* 0.5 x))))) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))))) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (sin (* 0.5 x))))) (/ 8.0 (/ (* (cbrt (sin x)) (cbrt (sin x))) (/ (sin (* 0.5 x)) 3.0))) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sqrt (sin x)) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))))) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x))))) (/ 8.0 (/ (sqrt (sin x)) (/ (sin (* 0.5 x)) 3.0))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sqrt (sin (* 0.5 x)))) (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x)) (* 3.0 (/ (sin x) (pow (sin (* 0.5 x)) 2))) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x)) (* (/ (sin x) (sin (* 0.5 x))) 3.0) (expm1 (/ (sin (* 0.5 x)) 3.0)) (log1p (/ (sin (* 0.5 x)) 3.0)) (log (/ (sin (* 0.5 x)) 3.0)) (log (/ (sin (* 0.5 x)) 3.0)) (exp (/ (sin (* 0.5 x)) 3.0)) (pow (/ (sin (* 0.5 x)) 3.0) 3) (* (cbrt (/ (sin (* 0.5 x)) 3.0)) (cbrt (/ (sin (* 0.5 x)) 3.0))) (cbrt (/ (sin (* 0.5 x)) 3.0)) (pow (/ (sin (* 0.5 x)) 3.0) 3) (sqrt (/ (sin (* 0.5 x)) 3.0)) (sqrt (/ (sin (* 0.5 x)) 3.0)) (- (sin (* 0.5 x))) (- 3.0) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (* (cbrt 3.0) (cbrt 3.0))) (/ (cbrt (sin (* 0.5 x))) (cbrt 3.0)) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (sqrt 3.0)) (/ (cbrt (sin (* 0.5 x))) (sqrt 3.0)) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (/ (cbrt (sin (* 0.5 x))) 3.0) (/ (sqrt (sin (* 0.5 x))) (* (cbrt 3.0) (cbrt 3.0))) (/ (sqrt (sin (* 0.5 x))) (cbrt 3.0)) (/ (sqrt (sin (* 0.5 x))) (sqrt 3.0)) (/ (sqrt (sin (* 0.5 x))) (sqrt 3.0)) (sqrt (sin (* 0.5 x))) (/ (sqrt (sin (* 0.5 x))) 3.0) (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (sin (* 0.5 x)) (cbrt 3.0)) (/ 1 (sqrt 3.0)) (/ (sin (* 0.5 x)) (sqrt 3.0)) 1 (/ (sin (* 0.5 x)) 3.0) (/ 1 3.0) (/ 3.0 (sin (* 0.5 x))) (/ (sin (* 0.5 x)) (* (cbrt 3.0) (cbrt 3.0))) (/ (sin (* 0.5 x)) (sqrt 3.0)) (sin (* 0.5 x)) (/ 3.0 (cbrt (sin (* 0.5 x)))) (/ 3.0 (sqrt (sin (* 0.5 x)))) (/ 3.0 (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))) (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))) 1.660 * * * [progress]: adding candidates to table 1.975 * * [progress]: iteration 4 / 4 1.975 * * * [progress]: picking best candidate 1.996 * * * * [pick]: Picked # 1.996 * * * [progress]: localizing error 2.007 * * * [progress]: generating rewritten candidates 2.007 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 2.032 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 2.038 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1 2) 2.043 * * * [progress]: generating series expansions 2.044 * * * * [progress]: [ 1 / 3 ] generating series at (2) 2.044 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in (x) around 0 2.044 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 2.044 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 2.044 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 2.044 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 2.044 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 2.044 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 2.044 * [taylor]: Taking taylor expansion of 0.5 in x 2.044 * [taylor]: Taking taylor expansion of x in x 2.048 * [taylor]: Taking taylor expansion of (sin x) in x 2.048 * [taylor]: Taking taylor expansion of x in x 2.049 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 2.049 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 2.049 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 2.049 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 2.049 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 2.049 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 2.049 * [taylor]: Taking taylor expansion of 0.5 in x 2.049 * [taylor]: Taking taylor expansion of x in x 2.052 * [taylor]: Taking taylor expansion of (sin x) in x 2.052 * [taylor]: Taking taylor expansion of x in x 2.094 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in (x) around 0 2.094 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 2.094 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 2.094 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 2.094 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 2.094 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.094 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.094 * [taylor]: Taking taylor expansion of 0.5 in x 2.094 * [taylor]: Taking taylor expansion of x in x 2.095 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.095 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.095 * [taylor]: Taking taylor expansion of x in x 2.096 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 2.096 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 2.096 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 2.096 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 2.096 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.096 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.096 * [taylor]: Taking taylor expansion of 0.5 in x 2.096 * [taylor]: Taking taylor expansion of x in x 2.096 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.096 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.096 * [taylor]: Taking taylor expansion of x in x 2.112 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in (x) around 0 2.112 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 2.112 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 2.112 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 2.112 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 2.112 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.112 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.112 * [taylor]: Taking taylor expansion of -0.5 in x 2.112 * [taylor]: Taking taylor expansion of x in x 2.112 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.112 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.112 * [taylor]: Taking taylor expansion of -1 in x 2.112 * [taylor]: Taking taylor expansion of x in x 2.113 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 2.113 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 2.113 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 2.113 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 2.113 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.113 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.113 * [taylor]: Taking taylor expansion of -0.5 in x 2.113 * [taylor]: Taking taylor expansion of x in x 2.114 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.114 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.114 * [taylor]: Taking taylor expansion of -1 in x 2.114 * [taylor]: Taking taylor expansion of x in x 2.137 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 2.137 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (sin (* 0.5 x)) (sin x))) in (x) around 0 2.137 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (sin (* 0.5 x)) (sin x))) in x 2.137 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 2.137 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 x)) (sin x)) in x 2.137 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 2.137 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 2.137 * [taylor]: Taking taylor expansion of 0.5 in x 2.137 * [taylor]: Taking taylor expansion of x in x 2.139 * [taylor]: Taking taylor expansion of (sin x) in x 2.139 * [taylor]: Taking taylor expansion of x in x 2.141 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (sin (* 0.5 x)) (sin x))) in x 2.141 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 2.141 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 x)) (sin x)) in x 2.141 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 2.141 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 2.141 * [taylor]: Taking taylor expansion of 0.5 in x 2.141 * [taylor]: Taking taylor expansion of x in x 2.142 * [taylor]: Taking taylor expansion of (sin x) in x 2.142 * [taylor]: Taking taylor expansion of x in x 2.176 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (sin (/ 0.5 x)) (sin (/ 1 x)))) in (x) around 0 2.176 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (sin (/ 0.5 x)) (sin (/ 1 x)))) in x 2.176 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 2.176 * [taylor]: Taking taylor expansion of (/ (sin (/ 0.5 x)) (sin (/ 1 x))) in x 2.176 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.177 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.177 * [taylor]: Taking taylor expansion of 0.5 in x 2.177 * [taylor]: Taking taylor expansion of x in x 2.177 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.177 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.177 * [taylor]: Taking taylor expansion of x in x 2.178 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (sin (/ 0.5 x)) (sin (/ 1 x)))) in x 2.178 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 2.178 * [taylor]: Taking taylor expansion of (/ (sin (/ 0.5 x)) (sin (/ 1 x))) in x 2.178 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.178 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.178 * [taylor]: Taking taylor expansion of 0.5 in x 2.178 * [taylor]: Taking taylor expansion of x in x 2.178 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.178 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.178 * [taylor]: Taking taylor expansion of x in x 2.187 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (sin (/ -0.5 x)) (sin (/ -1 x)))) in (x) around 0 2.187 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (sin (/ -0.5 x)) (sin (/ -1 x)))) in x 2.187 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 2.187 * [taylor]: Taking taylor expansion of (/ (sin (/ -0.5 x)) (sin (/ -1 x))) in x 2.187 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.187 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.187 * [taylor]: Taking taylor expansion of -0.5 in x 2.187 * [taylor]: Taking taylor expansion of x in x 2.188 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.188 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.188 * [taylor]: Taking taylor expansion of -1 in x 2.188 * [taylor]: Taking taylor expansion of x in x 2.188 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (sin (/ -0.5 x)) (sin (/ -1 x)))) in x 2.188 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 2.188 * [taylor]: Taking taylor expansion of (/ (sin (/ -0.5 x)) (sin (/ -1 x))) in x 2.188 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.188 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.188 * [taylor]: Taking taylor expansion of -0.5 in x 2.188 * [taylor]: Taking taylor expansion of x in x 2.189 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.189 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.189 * [taylor]: Taking taylor expansion of -1 in x 2.189 * [taylor]: Taking taylor expansion of x in x 2.197 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1 2) 2.197 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (sin (* 0.5 x))) in (x) around 0 2.197 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (* 0.5 x))) in x 2.197 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.197 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 2.197 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 2.197 * [taylor]: Taking taylor expansion of 0.5 in x 2.197 * [taylor]: Taking taylor expansion of x in x 2.199 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (* 0.5 x))) in x 2.199 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.199 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 2.199 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 2.199 * [taylor]: Taking taylor expansion of 0.5 in x 2.199 * [taylor]: Taking taylor expansion of x in x 2.230 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ 0.5 x))) in (x) around 0 2.230 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ 0.5 x))) in x 2.230 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.230 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.230 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.230 * [taylor]: Taking taylor expansion of 0.5 in x 2.230 * [taylor]: Taking taylor expansion of x in x 2.230 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ 0.5 x))) in x 2.230 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.230 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.230 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.230 * [taylor]: Taking taylor expansion of 0.5 in x 2.230 * [taylor]: Taking taylor expansion of x in x 2.237 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ -0.5 x))) in (x) around 0 2.237 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ -0.5 x))) in x 2.237 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.237 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.237 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.237 * [taylor]: Taking taylor expansion of -0.5 in x 2.237 * [taylor]: Taking taylor expansion of x in x 2.238 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ -0.5 x))) in x 2.238 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.238 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.238 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.238 * [taylor]: Taking taylor expansion of -0.5 in x 2.238 * [taylor]: Taking taylor expansion of x in x 2.244 * * * [progress]: simplifying candidates 2.246 * [simplify]: Simplifying using # : (expm1 (* (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x)) (sin (* 0.5 x)))) (log1p (* (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x)) (sin (* 0.5 x)))) (* (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x)) (sin (* 0.5 x))) (+ (- (+ (log 8.0) (- (log (sin (* 0.5 x))) (log 3.0))) (log (sin x))) (log (sin (* 0.5 x)))) (+ (- (+ (log 8.0) (log (/ (sin (* 0.5 x)) 3.0))) (log (sin x))) (log (sin (* 0.5 x)))) (+ (- (log (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (log (sin x))) (log (sin (* 0.5 x)))) (+ (log (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x))) (log (sin (* 0.5 x)))) (log (* (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x)) (sin (* 0.5 x)))) (exp (* (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x)) (sin (* 0.5 x)))) (* (/ (* (* (* 8.0 8.0) 8.0) (/ (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x))) (* (* 3.0 3.0) 3.0))) (* (* (sin x) (sin x)) (sin x))) (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x)))) (* (/ (* (* (* 8.0 8.0) 8.0) (* (* (/ (sin (* 0.5 x)) 3.0) (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) 3.0))) (* (* (sin x) (sin x)) (sin x))) (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x)))) (* (/ (* (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (* (* (sin x) (sin x)) (sin x))) (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x)))) (* (* (* (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x)) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x))) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x))) (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x)))) (* (cbrt (* (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x)) (sin (* 0.5 x)))) (cbrt (* (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x)) (sin (* 0.5 x))))) (cbrt (* (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x)) (sin (* 0.5 x)))) (* (* (* (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x)) (sin (* 0.5 x))) (* (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x)) (sin (* 0.5 x)))) (* (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x)) (sin (* 0.5 x)))) (sqrt (* (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x)) (sin (* 0.5 x)))) (sqrt (* (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x)) (sin (* 0.5 x)))) (* (sqrt (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x))) (sqrt (sin (* 0.5 x)))) (* (sqrt (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x))) (sqrt (sin (* 0.5 x)))) (* (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x)) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (* (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x)) (sqrt (sin (* 0.5 x)))) (* (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x)) 1) (* (cbrt (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x))) (sin (* 0.5 x))) (* (sqrt (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x))) (sin (* 0.5 x))) (* (/ (/ (sin (* 0.5 x)) 3.0) (cbrt (sin x))) (sin (* 0.5 x))) (* (/ (/ (sin (* 0.5 x)) 3.0) (sqrt (sin x))) (sin (* 0.5 x))) (* (/ (/ (sin (* 0.5 x)) 3.0) (sin x)) (sin (* 0.5 x))) (* (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x)) (sin (* 0.5 x))) (* (/ 1 (sin x)) (sin (* 0.5 x))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin (* 0.5 x))) (expm1 (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x))) (log1p (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x))) (- (+ (log 8.0) (- (log (sin (* 0.5 x))) (log 3.0))) (log (sin x))) (- (+ (log 8.0) (log (/ (sin (* 0.5 x)) 3.0))) (log (sin x))) (- (log (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (log (sin x))) (log (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x))) (exp (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x))) (/ (* (* (* 8.0 8.0) 8.0) (/ (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x))) (* (* 3.0 3.0) 3.0))) (* (* (sin x) (sin x)) (sin x))) (/ (* (* (* 8.0 8.0) 8.0) (* (* (/ (sin (* 0.5 x)) 3.0) (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) 3.0))) (* (* (sin x) (sin x)) (sin x))) (/ (* (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (* (* (sin x) (sin x)) (sin x))) (* (cbrt (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x))) (cbrt (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x)))) (cbrt (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x))) (* (* (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x)) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x))) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x))) (sqrt (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x))) (sqrt (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x))) (- (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (- (sin x)) (/ 8.0 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (/ (sin (* 0.5 x)) 3.0) (cbrt (sin x))) (/ 8.0 (sqrt (sin x))) (/ (/ (sin (* 0.5 x)) 3.0) (sqrt (sin x))) (/ 8.0 1) (/ (/ (sin (* 0.5 x)) 3.0) (sin x)) (/ 1 (sin x)) (/ (sin x) (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sqrt (sin x))) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) 1) (/ (sin x) (/ (sin (* 0.5 x)) 3.0)) (* (sin x) 3.0) (expm1 (/ (sin (* 0.5 x)) 3.0)) (log1p (/ (sin (* 0.5 x)) 3.0)) (- (log (sin (* 0.5 x))) (log 3.0)) (log (/ (sin (* 0.5 x)) 3.0)) (exp (/ (sin (* 0.5 x)) 3.0)) (/ (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x))) (* (* 3.0 3.0) 3.0)) (* (cbrt (/ (sin (* 0.5 x)) 3.0)) (cbrt (/ (sin (* 0.5 x)) 3.0))) (cbrt (/ (sin (* 0.5 x)) 3.0)) (* (* (/ (sin (* 0.5 x)) 3.0) (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) 3.0)) (sqrt (/ (sin (* 0.5 x)) 3.0)) (sqrt (/ (sin (* 0.5 x)) 3.0)) (- (sin (* 0.5 x))) (- 3.0) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (* (cbrt 3.0) (cbrt 3.0))) (/ (cbrt (sin (* 0.5 x))) (cbrt 3.0)) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (sqrt 3.0)) (/ (cbrt (sin (* 0.5 x))) (sqrt 3.0)) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) 1) (/ (cbrt (sin (* 0.5 x))) 3.0) (/ (sqrt (sin (* 0.5 x))) (* (cbrt 3.0) (cbrt 3.0))) (/ (sqrt (sin (* 0.5 x))) (cbrt 3.0)) (/ (sqrt (sin (* 0.5 x))) (sqrt 3.0)) (/ (sqrt (sin (* 0.5 x))) (sqrt 3.0)) (/ (sqrt (sin (* 0.5 x))) 1) (/ (sqrt (sin (* 0.5 x))) 3.0) (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (sin (* 0.5 x)) (cbrt 3.0)) (/ 1 (sqrt 3.0)) (/ (sin (* 0.5 x)) (sqrt 3.0)) (/ 1 1) (/ (sin (* 0.5 x)) 3.0) (/ 1 3.0) (/ 3.0 (sin (* 0.5 x))) (/ (sin (* 0.5 x)) (* (cbrt 3.0) (cbrt 3.0))) (/ (sin (* 0.5 x)) (sqrt 3.0)) (/ (sin (* 0.5 x)) 1) (/ 3.0 (cbrt (sin (* 0.5 x)))) (/ 3.0 (sqrt (sin (* 0.5 x)))) (/ 3.0 (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))) (+ (* 0.16666666666666666 (pow x 2)) (+ (* 0.01736111111111111 (pow x 4)) 1.3333333333333333)) (* 2.6666666666666665 (/ (sin (* 0.5 x)) (sin x))) (* 2.6666666666666665 (/ (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))) 2.253 * * [simplify]: iteration 0 : 406 enodes (cost 847 ) 2.264 * * [simplify]: iteration 1 : 1948 enodes (cost 688 ) 2.301 * * [simplify]: iteration 2 : 5001 enodes (cost 672 ) 2.305 * [simplify]: Simplified to: (expm1 (* (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x)) (sin (* 0.5 x)))) (log1p (* (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x)) (sin (* 0.5 x)))) (/ 8.0 (/ (sin x) (/ (pow (sin (* 0.5 x)) 2) 3.0))) (- (log 8.0) (log (/ (sin x) (/ (pow (sin (* 0.5 x)) 2) 3.0)))) (- (log 8.0) (log (/ (sin x) (/ (pow (sin (* 0.5 x)) 2) 3.0)))) (- (log 8.0) (log (/ (sin x) (/ (pow (sin (* 0.5 x)) 2) 3.0)))) (- (log 8.0) (log (/ (sin x) (/ (pow (sin (* 0.5 x)) 2) 3.0)))) (- (log 8.0) (log (/ (sin x) (/ (pow (sin (* 0.5 x)) 2) 3.0)))) (pow (exp 1) (/ 8.0 (/ (sin x) (/ (pow (sin (* 0.5 x)) 2) 3.0)))) (pow (/ 8.0 (/ (sin x) (/ (pow (sin (* 0.5 x)) 2) 3.0))) 3) (pow (/ 8.0 (/ (sin x) (/ (pow (sin (* 0.5 x)) 2) 3.0))) 3) (pow (/ 8.0 (/ (sin x) (/ (pow (sin (* 0.5 x)) 2) 3.0))) 3) (pow (/ 8.0 (/ (sin x) (/ (pow (sin (* 0.5 x)) 2) 3.0))) 3) (* (cbrt (* (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x)) (sin (* 0.5 x)))) (cbrt (* (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x)) (sin (* 0.5 x))))) (cbrt (* (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x)) (sin (* 0.5 x)))) (pow (/ 8.0 (/ (sin x) (/ (pow (sin (* 0.5 x)) 2) 3.0))) 3) (sqrt (* (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x)) (sin (* 0.5 x)))) (sqrt (* (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x)) (sin (* 0.5 x)))) (* (sqrt (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x))) (sqrt (sin (* 0.5 x)))) (* (sqrt (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x))) (sqrt (sin (* 0.5 x)))) (* (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x)) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (* (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x)) (sqrt (sin (* 0.5 x)))) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x)) (* (cbrt (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x))) (sin (* 0.5 x))) (* (sqrt (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x))) (sin (* 0.5 x))) (/ (pow (sin (* 0.5 x)) 2) (* (cbrt (sin x)) 3.0)) (/ (pow (sin (* 0.5 x)) 2) (* (sqrt (sin x)) 3.0)) (/ (pow (sin (* 0.5 x)) 2) (* (sin x) 3.0)) (/ 8.0 (/ (sin x) (/ (pow (sin (* 0.5 x)) 2) 3.0))) (/ (sin (* 0.5 x)) (sin x)) (* (/ (pow (sin (* 0.5 x)) 2) 3.0) 8.0) (expm1 (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x))) (log1p (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x))) (log (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x))) (log (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x))) (log (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x))) (log (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x))) (exp (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x))) (pow (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x)) 3) (pow (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x)) 3) (pow (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x)) 3) (* (cbrt (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x))) (cbrt (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x)))) (cbrt (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x))) (pow (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x)) 3) (sqrt (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x))) (sqrt (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x))) (- (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (- (sin x)) (/ 8.0 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (/ (sin (* 0.5 x)) 3.0) (cbrt (sin x))) (/ 8.0 (sqrt (sin x))) (/ (/ (sin (* 0.5 x)) 3.0) (sqrt (sin x))) 8.0 (/ (/ (sin (* 0.5 x)) 3.0) (sin x)) (/ 1 (sin x)) (/ (sin x) (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sqrt (sin x))) (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin x) (/ (sin (* 0.5 x)) 3.0)) (* (sin x) 3.0) (expm1 (/ (sin (* 0.5 x)) 3.0)) (log1p (/ (sin (* 0.5 x)) 3.0)) (log (/ (sin (* 0.5 x)) 3.0)) (log (/ (sin (* 0.5 x)) 3.0)) (exp (/ (sin (* 0.5 x)) 3.0)) (pow (/ (sin (* 0.5 x)) 3.0) 3) (* (cbrt (/ (sin (* 0.5 x)) 3.0)) (cbrt (/ (sin (* 0.5 x)) 3.0))) (cbrt (/ (sin (* 0.5 x)) 3.0)) (pow (/ (sin (* 0.5 x)) 3.0) 3) (sqrt (/ (sin (* 0.5 x)) 3.0)) (sqrt (/ (sin (* 0.5 x)) 3.0)) (- (sin (* 0.5 x))) (- 3.0) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (* (cbrt 3.0) (cbrt 3.0))) (/ (cbrt (sin (* 0.5 x))) (cbrt 3.0)) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (sqrt 3.0)) (/ (cbrt (sin (* 0.5 x))) (sqrt 3.0)) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (/ (cbrt (sin (* 0.5 x))) 3.0) (/ (sqrt (sin (* 0.5 x))) (* (cbrt 3.0) (cbrt 3.0))) (/ (sqrt (sin (* 0.5 x))) (cbrt 3.0)) (/ (sqrt (sin (* 0.5 x))) (sqrt 3.0)) (/ (sqrt (sin (* 0.5 x))) (sqrt 3.0)) (sqrt (sin (* 0.5 x))) (/ (sqrt (sin (* 0.5 x))) 3.0) (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (sin (* 0.5 x)) (cbrt 3.0)) (/ 1 (sqrt 3.0)) (/ (sin (* 0.5 x)) (sqrt 3.0)) 1 (/ (sin (* 0.5 x)) 3.0) (/ 1 3.0) (/ 3.0 (sin (* 0.5 x))) (/ (sin (* 0.5 x)) (* (cbrt 3.0) (cbrt 3.0))) (/ (sin (* 0.5 x)) (sqrt 3.0)) (sin (* 0.5 x)) (/ 3.0 (cbrt (sin (* 0.5 x)))) (/ 3.0 (sqrt (sin (* 0.5 x)))) (/ 3.0 (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 0.16666666666666666 (pow x 2) (fma 0.01736111111111111 (pow x 4) 1.3333333333333333)) (* 2.6666666666666665 (/ (sin (* 0.5 x)) (sin x))) (* 2.6666666666666665 (/ (sin (* 0.5 x)) (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))) 2.305 * * * [progress]: adding candidates to table 2.553 * [progress]: [Phase 3 of 3] Extracting. 2.553 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 2.555 * * * [regime-changes]: Trying 1 branch expressions: (x) 2.555 * * * * [regimes]: Trying to branch on x from (# # # # # # # # #) 2.588 * * * [regime]: Found split indices: #