20.860 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.057 * * * [progress]: [2/2] Setting up program. 0.059 * [progress]: [Phase 2 of 3] Improving. 0.060 * [simplify]: Simplifying using # : (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x)) 0.062 * * [simplify]: iteration 0 : 20 enodes (cost 9 ) 0.063 * * [simplify]: iteration 1 : 43 enodes (cost 9 ) 0.065 * * [simplify]: iteration 2 : 93 enodes (cost 9 ) 0.067 * * [simplify]: iteration 3 : 174 enodes (cost 9 ) 0.069 * * [simplify]: iteration 4 : 269 enodes (cost 9 ) 0.073 * * [simplify]: iteration 5 : 288 enodes (cost 9 ) 0.076 * * [simplify]: iteration 6 : 288 enodes (cost 9 ) 0.076 * [simplify]: Simplified to: (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x)) 0.076 * * [progress]: iteration 1 / 4 0.076 * * * [progress]: picking best candidate 0.078 * * * * [pick]: Picked # 0.078 * * * [progress]: localizing error 0.089 * * * [progress]: generating rewritten candidates 0.089 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.099 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.105 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.116 * * * [progress]: generating series expansions 0.116 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.117 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in (x) around 0 0.117 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.117 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.117 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 0.117 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.117 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.117 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.117 * [taylor]: Taking taylor expansion of 0.5 in x 0.117 * [taylor]: Taking taylor expansion of x in x 0.120 * [taylor]: Taking taylor expansion of (sin x) in x 0.120 * [taylor]: Taking taylor expansion of x in x 0.121 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.121 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.121 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 0.121 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.121 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.121 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.121 * [taylor]: Taking taylor expansion of 0.5 in x 0.121 * [taylor]: Taking taylor expansion of x in x 0.124 * [taylor]: Taking taylor expansion of (sin x) in x 0.124 * [taylor]: Taking taylor expansion of x in x 0.164 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in (x) around 0 0.164 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 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 (/ 1 x))) in x 0.164 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.164 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.164 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.164 * [taylor]: Taking taylor expansion of 0.5 in x 0.164 * [taylor]: Taking taylor expansion of x in x 0.164 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.164 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.164 * [taylor]: Taking taylor expansion of x in x 0.165 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 0.165 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.165 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 0.165 * [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 0.165 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.165 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.165 * [taylor]: Taking taylor expansion of x in x 0.178 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in (x) around 0 0.178 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.178 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.178 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 0.178 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.178 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.179 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.179 * [taylor]: Taking taylor expansion of -0.5 in x 0.179 * [taylor]: Taking taylor expansion of x in x 0.179 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.179 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.179 * [taylor]: Taking taylor expansion of -1 in x 0.179 * [taylor]: Taking taylor expansion of x in x 0.179 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.179 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.179 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 0.180 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.180 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.180 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.180 * [taylor]: Taking taylor expansion of -0.5 in x 0.180 * [taylor]: Taking taylor expansion of x in x 0.180 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.180 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.180 * [taylor]: Taking taylor expansion of -1 in x 0.180 * [taylor]: Taking taylor expansion of x in x 0.193 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.193 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in (x) around 0 0.194 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 0.194 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.194 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.194 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.194 * [taylor]: Taking taylor expansion of 0.5 in x 0.194 * [taylor]: Taking taylor expansion of x in x 0.195 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 0.195 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.195 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.195 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.195 * [taylor]: Taking taylor expansion of 0.5 in x 0.195 * [taylor]: Taking taylor expansion of x in x 0.214 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in (x) around 0 0.215 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 0.215 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.215 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.215 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.215 * [taylor]: Taking taylor expansion of 0.5 in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.215 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 0.215 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.215 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.215 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.215 * [taylor]: Taking taylor expansion of 0.5 in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.226 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in (x) around 0 0.226 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 0.226 * [taylor]: Taking taylor expansion of 2.6666666666666665 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 0.227 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 0.227 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.227 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.227 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.227 * [taylor]: Taking taylor expansion of -0.5 in x 0.227 * [taylor]: Taking taylor expansion of x in x 0.232 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.233 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (* 0.5 x)) 2)) in (x) around 0 0.233 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (* 0.5 x)) 2)) in x 0.233 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.233 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.233 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.233 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.233 * [taylor]: Taking taylor expansion of 0.5 in x 0.233 * [taylor]: Taking taylor expansion of x in x 0.236 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (* 0.5 x)) 2)) in x 0.236 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.236 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.236 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.236 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.236 * [taylor]: Taking taylor expansion of 0.5 in x 0.236 * [taylor]: Taking taylor expansion of x in x 0.262 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ 0.5 x)) 2)) in (x) around 0 0.262 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ 0.5 x)) 2)) in x 0.262 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.262 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.262 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.262 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.262 * [taylor]: Taking taylor expansion of 0.5 in x 0.262 * [taylor]: Taking taylor expansion of x in x 0.263 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ 0.5 x)) 2)) in x 0.263 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.263 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.263 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.263 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.263 * [taylor]: Taking taylor expansion of 0.5 in x 0.263 * [taylor]: Taking taylor expansion of x in x 0.273 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ -0.5 x)) 2)) in (x) around 0 0.273 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ -0.5 x)) 2)) in x 0.273 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.273 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.273 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.273 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.273 * [taylor]: Taking taylor expansion of -0.5 in x 0.273 * [taylor]: Taking taylor expansion of x in x 0.273 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ -0.5 x)) 2)) in x 0.274 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.274 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) 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 0.284 * * * [progress]: simplifying candidates 0.285 * [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)) 0.292 * * [simplify]: iteration 0 : 412 enodes (cost 862 ) 0.300 * * [simplify]: iteration 1 : 2127 enodes (cost 656 ) 0.335 * * [simplify]: iteration 2 : 5001 enodes (cost 637 ) 0.339 * [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)) 0.340 * * * [progress]: adding candidates to table 0.540 * * [progress]: iteration 2 / 4 0.540 * * * [progress]: picking best candidate 0.565 * * * * [pick]: Picked # 0.565 * * * [progress]: localizing error 0.579 * * * [progress]: generating rewritten candidates 0.579 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.585 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.596 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.603 * * * [progress]: generating series expansions 0.603 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.604 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in (x) around 0 0.604 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 0.604 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.604 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.604 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.604 * [taylor]: Taking taylor expansion of 0.5 in x 0.604 * [taylor]: Taking taylor expansion of x in x 0.605 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 0.605 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.605 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.605 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.605 * [taylor]: Taking taylor expansion of 0.5 in x 0.605 * [taylor]: Taking taylor expansion of x in x 0.630 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in (x) around 0 0.630 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 0.630 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.630 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.630 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.630 * [taylor]: Taking taylor expansion of 0.5 in x 0.630 * [taylor]: Taking taylor expansion of x in x 0.630 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 0.631 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.631 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.631 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.631 * [taylor]: Taking taylor expansion of 0.5 in x 0.631 * [taylor]: Taking taylor expansion of x in x 0.636 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in (x) around 0 0.636 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 0.637 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.637 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.637 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.637 * [taylor]: Taking taylor expansion of -0.5 in x 0.637 * [taylor]: Taking taylor expansion of x in x 0.637 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 0.637 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.637 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.637 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.637 * [taylor]: Taking taylor expansion of -0.5 in x 0.637 * [taylor]: Taking taylor expansion of x in x 0.643 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.643 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in (x) around 0 0.643 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.643 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.643 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 0.643 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.643 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.643 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.643 * [taylor]: Taking taylor expansion of 0.5 in x 0.643 * [taylor]: Taking taylor expansion of x in x 0.646 * [taylor]: Taking taylor expansion of (sin x) in x 0.646 * [taylor]: Taking taylor expansion of x in x 0.647 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.647 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.647 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 0.647 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.647 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.647 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.647 * [taylor]: Taking taylor expansion of 0.5 in x 0.647 * [taylor]: Taking taylor expansion of x in x 0.649 * [taylor]: Taking taylor expansion of (sin x) in x 0.649 * [taylor]: Taking taylor expansion of x in x 0.695 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in (x) around 0 0.695 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 0.695 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.695 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 0.695 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.696 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.696 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.696 * [taylor]: Taking taylor expansion of 0.5 in x 0.696 * [taylor]: Taking taylor expansion of x in x 0.696 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.696 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.696 * [taylor]: Taking taylor expansion of x in x 0.696 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 0.696 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.696 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 0.696 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.696 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.697 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.697 * [taylor]: Taking taylor expansion of 0.5 in x 0.697 * [taylor]: Taking taylor expansion of x in x 0.697 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.697 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.697 * [taylor]: Taking taylor expansion of x in x 0.715 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in (x) around 0 0.715 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.715 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.715 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 0.715 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.715 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.715 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.715 * [taylor]: Taking taylor expansion of -0.5 in x 0.715 * [taylor]: Taking taylor expansion of x in x 0.716 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.716 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.716 * [taylor]: Taking taylor expansion of -1 in x 0.716 * [taylor]: Taking taylor expansion of x in x 0.716 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.716 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.716 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 0.716 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.716 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.716 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.716 * [taylor]: Taking taylor expansion of -0.5 in x 0.717 * [taylor]: Taking taylor expansion of x in x 0.717 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.717 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.717 * [taylor]: Taking taylor expansion of -1 in x 0.717 * [taylor]: Taking taylor expansion of x in x 0.729 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.729 * [approximate]: Taking taylor expansion of (/ (sin (* 0.5 x)) (sin x)) in (x) around 0 0.729 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 x)) (sin x)) 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 0.730 * [taylor]: Taking taylor expansion of 0.5 in x 0.730 * [taylor]: Taking taylor expansion of x in x 0.731 * [taylor]: Taking taylor expansion of (sin x) in x 0.731 * [taylor]: Taking taylor expansion of x in x 0.733 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 x)) (sin x)) in x 0.733 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.733 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.733 * [taylor]: Taking taylor expansion of 0.5 in x 0.733 * [taylor]: Taking taylor expansion of x in x 0.734 * [taylor]: Taking taylor expansion of (sin x) in x 0.734 * [taylor]: Taking taylor expansion of x in x 0.758 * [approximate]: Taking taylor expansion of (/ (sin (/ 0.5 x)) (sin (/ 1 x))) in (x) around 0 0.758 * [taylor]: Taking taylor expansion of (/ (sin (/ 0.5 x)) (sin (/ 1 x))) in x 0.758 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.758 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.758 * [taylor]: Taking taylor expansion of 0.5 in x 0.758 * [taylor]: Taking taylor expansion of x in x 0.758 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.758 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.758 * [taylor]: Taking taylor expansion of x in x 0.759 * [taylor]: Taking taylor expansion of (/ (sin (/ 0.5 x)) (sin (/ 1 x))) in x 0.759 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.759 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.759 * [taylor]: Taking taylor expansion of 0.5 in x 0.759 * [taylor]: Taking taylor expansion of x in x 0.759 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.759 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.759 * [taylor]: Taking taylor expansion of x in x 0.761 * [approximate]: Taking taylor expansion of (/ (sin (/ -0.5 x)) (sin (/ -1 x))) in (x) around 0 0.761 * [taylor]: Taking taylor expansion of (/ (sin (/ -0.5 x)) (sin (/ -1 x))) 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 (sin (/ -1 x)) in x 0.762 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.762 * [taylor]: Taking taylor expansion of -1 in x 0.762 * [taylor]: Taking taylor expansion of x in x 0.762 * [taylor]: Taking taylor expansion of (/ (sin (/ -0.5 x)) (sin (/ -1 x))) 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 0.762 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.762 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.762 * [taylor]: Taking taylor expansion of -1 in x 0.762 * [taylor]: Taking taylor expansion of x in x 0.765 * * * [progress]: simplifying candidates 0.766 * [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 (* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))) (log1p (* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))) (* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x))) (* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x))) (+ (+ (- (log 8.0) (log 3.0)) (log (sin (* x 0.5)))) (- (log (sin (* 0.5 x))) (log (sin x)))) (+ (+ (- (log 8.0) (log 3.0)) (log (sin (* x 0.5)))) (log (/ (sin (* 0.5 x)) (sin x)))) (+ (+ (log (/ 8.0 3.0)) (log (sin (* x 0.5)))) (- (log (sin (* 0.5 x))) (log (sin x)))) (+ (+ (log (/ 8.0 3.0)) (log (sin (* x 0.5)))) (log (/ 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(cbrt (sin x))) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (sqrt (sin x))) (/ (cbrt (sin (* 0.5 x))) (sqrt (sin x))) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) 1) (/ (cbrt (sin (* 0.5 x))) (sin x)) (/ (sqrt (sin (* 0.5 x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (sin (* 0.5 x))) (cbrt (sin x))) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x))) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x))) (/ (sqrt (sin (* 0.5 x))) 1) (/ (sqrt (sin (* 0.5 x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sin (* 0.5 x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (sin (* 0.5 x)) (sqrt (sin x))) (/ 1 1) (/ (sin (* 0.5 x)) (sin x)) (/ 1 (sin x)) (/ (sin x) (sin (* 0.5 x))) (/ (sin (* 0.5 x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sin (* 0.5 x)) (sqrt (sin x))) (/ (sin (* 0.5 x)) 1) (/ (sin x) (cbrt (sin (* 0.5 x)))) (/ (sin x) (sqrt (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 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))) (+ (* 0.05555555555555555 (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))) (+ (* 0.0625 (pow x 2)) (+ (* 0.006510416666666666 (pow x 4)) 0.5)) (/ (sin (* 0.5 x)) (sin x)) (/ (sin (* 0.5 x)) (sin x)) 0.774 * * [simplify]: iteration 0 : 474 enodes (cost 1006 ) 0.784 * * [simplify]: iteration 1 : 2505 enodes (cost 814 ) 0.824 * * [simplify]: iteration 2 : 5001 enodes (cost 799 ) 0.829 * [simplify]: Simplified to: (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) 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x)))) (cbrt (/ (sin (* 0.5 x)) (sin x))) (pow (/ (sin (* 0.5 x)) (sin x)) 3) (sqrt (/ (sin (* 0.5 x)) (sin x))) (sqrt (/ (sin (* 0.5 x)) (sin x))) (- (sin (* 0.5 x))) (- (sin x)) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt (sin (* 0.5 x))) (cbrt (sin x))) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (sqrt (sin x))) (/ (cbrt (sin (* 0.5 x))) (sqrt (sin x))) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (/ (cbrt (sin (* 0.5 x))) (sin x)) (/ (sqrt (sin (* 0.5 x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (sin (* 0.5 x))) (cbrt (sin x))) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x))) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x))) (sqrt (sin (* 0.5 x))) (/ (sqrt (sin (* 0.5 x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sin (* 0.5 x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (sin (* 0.5 x)) (sqrt (sin x))) 1 (/ (sin (* 0.5 x)) (sin x)) (/ 1 (sin x)) (/ (sin x) (sin (* 0.5 x))) (/ (sin (* 0.5 x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sin (* 0.5 x)) (sqrt (sin x))) (sin (* 0.5 x)) (/ (sin x) (cbrt (sin (* 0.5 x)))) (/ (sin x) (sqrt (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 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 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 0.0625 (pow x 2) (fma 0.006510416666666666 (pow x 4) 0.5)) (/ (sin (* 0.5 x)) (sin x)) (/ (sin (* 0.5 x)) (sin x)) 0.830 * * * [progress]: adding candidates to table 1.078 * * [progress]: iteration 3 / 4 1.078 * * * [progress]: picking best candidate 1.103 * * * * [pick]: Picked # 1.103 * * * [progress]: localizing error 1.114 * * * [progress]: generating rewritten candidates 1.114 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 1.129 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 1.133 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 2) 1.140 * * * [progress]: generating series expansions 1.140 * * * * [progress]: [ 1 / 3 ] generating series at (2) 1.140 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in (x) around 0 1.140 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 1.140 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.140 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 1.140 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 1.141 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.141 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.141 * [taylor]: Taking taylor expansion of 0.5 in x 1.141 * [taylor]: Taking taylor expansion of x in x 1.144 * [taylor]: Taking taylor expansion of (sin x) in x 1.144 * [taylor]: Taking taylor expansion of x in x 1.144 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 1.145 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.145 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 1.145 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 1.145 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.145 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.145 * [taylor]: Taking taylor expansion of 0.5 in x 1.145 * [taylor]: Taking taylor expansion of x in x 1.147 * [taylor]: Taking taylor expansion of (sin x) in x 1.147 * [taylor]: Taking taylor expansion of x in x 1.182 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in (x) around 0 1.182 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 1.182 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.182 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 1.182 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 1.182 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.182 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.182 * [taylor]: Taking taylor expansion of 0.5 in x 1.182 * [taylor]: Taking taylor expansion of x in x 1.182 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.182 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.182 * [taylor]: Taking taylor expansion of x in x 1.183 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 1.183 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.183 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 1.183 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 1.183 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.183 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.183 * [taylor]: Taking taylor expansion of 0.5 in x 1.183 * [taylor]: Taking taylor expansion of x in x 1.183 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.183 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.183 * [taylor]: Taking taylor expansion of x in x 1.196 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in (x) around 0 1.196 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 1.196 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.196 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 1.196 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 1.196 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.196 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.196 * [taylor]: Taking taylor expansion of -0.5 in x 1.196 * [taylor]: Taking taylor expansion of x in x 1.197 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.197 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.197 * [taylor]: Taking taylor expansion of -1 in x 1.197 * [taylor]: Taking taylor expansion of x in x 1.197 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 1.197 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.197 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 1.197 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 1.197 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.197 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.197 * [taylor]: Taking taylor expansion of -0.5 in x 1.197 * [taylor]: Taking taylor expansion of x in x 1.198 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.198 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.198 * [taylor]: Taking taylor expansion of -1 in x 1.198 * [taylor]: Taking taylor expansion of x in x 1.216 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 1.216 * [approximate]: Taking taylor expansion of (/ (sin (* 0.5 x)) (sin x)) in (x) around 0 1.216 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 x)) (sin x)) in x 1.217 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.217 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.217 * [taylor]: Taking taylor expansion of 0.5 in x 1.217 * [taylor]: Taking taylor expansion of x in x 1.218 * [taylor]: Taking taylor expansion of (sin x) in x 1.218 * [taylor]: Taking taylor expansion of x in x 1.220 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 x)) (sin x)) in x 1.220 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.220 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.220 * [taylor]: Taking taylor expansion of 0.5 in x 1.220 * [taylor]: Taking taylor expansion of x in x 1.221 * [taylor]: Taking taylor expansion of (sin x) in x 1.221 * [taylor]: Taking taylor expansion of x in x 1.245 * [approximate]: Taking taylor expansion of (/ (sin (/ 0.5 x)) (sin (/ 1 x))) in (x) around 0 1.245 * [taylor]: Taking taylor expansion of (/ (sin (/ 0.5 x)) (sin (/ 1 x))) in x 1.245 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.245 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.245 * [taylor]: Taking taylor expansion of 0.5 in x 1.245 * [taylor]: Taking taylor expansion of x in x 1.245 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.245 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.245 * [taylor]: Taking taylor expansion of x in x 1.246 * [taylor]: Taking taylor expansion of (/ (sin (/ 0.5 x)) (sin (/ 1 x))) in x 1.246 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.246 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.246 * [taylor]: Taking taylor expansion of 0.5 in x 1.246 * [taylor]: Taking taylor expansion of x in x 1.246 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.246 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.246 * [taylor]: Taking taylor expansion of x in x 1.248 * [approximate]: Taking taylor expansion of (/ (sin (/ -0.5 x)) (sin (/ -1 x))) in (x) around 0 1.248 * [taylor]: Taking taylor expansion of (/ (sin (/ -0.5 x)) (sin (/ -1 x))) in x 1.248 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.249 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.249 * [taylor]: Taking taylor expansion of -0.5 in x 1.249 * [taylor]: Taking taylor expansion of x in x 1.249 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.249 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.249 * [taylor]: Taking taylor expansion of -1 in x 1.249 * [taylor]: Taking taylor expansion of x in x 1.249 * [taylor]: Taking taylor expansion of (/ (sin (/ -0.5 x)) (sin (/ -1 x))) in x 1.249 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.249 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.249 * [taylor]: Taking taylor expansion of -0.5 in x 1.249 * [taylor]: Taking taylor expansion of x in x 1.250 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.250 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.250 * [taylor]: Taking taylor expansion of -1 in x 1.250 * [taylor]: Taking taylor expansion of x in x 1.252 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 2) 1.252 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (sin (* 0.5 x))) in (x) around 0 1.252 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (* 0.5 x))) in x 1.252 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.252 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.252 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.252 * [taylor]: Taking taylor expansion of 0.5 in x 1.252 * [taylor]: Taking taylor expansion of x in x 1.253 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (* 0.5 x))) in x 1.253 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.253 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.253 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.253 * [taylor]: Taking taylor expansion of 0.5 in x 1.253 * [taylor]: Taking taylor expansion of x in x 1.273 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ 0.5 x))) in (x) around 0 1.273 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ 0.5 x))) in x 1.273 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.273 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.273 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.273 * [taylor]: Taking taylor expansion of 0.5 in x 1.273 * [taylor]: Taking taylor expansion of x in x 1.273 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ 0.5 x))) in x 1.273 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.273 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.273 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.273 * [taylor]: Taking taylor expansion of 0.5 in x 1.273 * [taylor]: Taking taylor expansion of x in x 1.279 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ -0.5 x))) in (x) around 0 1.279 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ -0.5 x))) in x 1.279 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.279 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.279 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.279 * [taylor]: Taking taylor expansion of -0.5 in x 1.279 * [taylor]: Taking taylor expansion of x in x 1.280 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ -0.5 x))) in x 1.280 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.280 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.280 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.280 * [taylor]: Taking taylor expansion of -0.5 in x 1.280 * [taylor]: Taking taylor expansion of x in x 1.285 * * * [progress]: simplifying candidates 1.287 * [simplify]: Simplifying using # : (expm1 (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))) (log1p (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x))) (+ (+ (log 8.0) (- (log (sin (* 0.5 x))) (log 3.0))) (- (log (sin (* 0.5 x))) (log (sin x)))) (+ (+ (log 8.0) (- (log (sin (* 0.5 x))) (log 3.0))) (log (/ (sin (* 0.5 x)) (sin x)))) (+ (+ (log 8.0) (log (/ (sin (* 0.5 x)) 3.0))) (- (log (sin (* 0.5 x))) (log (sin x)))) (+ (+ (log 8.0) (log (/ (sin (* 0.5 x)) 3.0))) (log (/ (sin (* 0.5 x)) (sin x)))) (+ (log (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (- (log (sin (* 0.5 x))) (log (sin x)))) (+ (log (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (log (/ (sin (* 0.5 x)) (sin x)))) (log (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))) (exp (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (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 (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x))) (* (* (sin x) (sin x)) (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 (* 0.5 x)) (sin x)) (/ (sin (* 0.5 x)) (sin x))) (/ (sin (* 0.5 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 (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x))) (* (* (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 (* 0.5 x)) (sin x)) (/ (sin (* 0.5 x)) (sin x))) (/ (sin (* 0.5 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 (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x))) (* (* (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 (* 0.5 x)) (sin x)) (/ (sin (* 0.5 x)) (sin x))) (/ (sin (* 0.5 x)) (sin x)))) (* (cbrt (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))) (cbrt (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x))))) (cbrt (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))) (* (* (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))) (sqrt (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))) (sqrt (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))) (* (* 8.0 (sin (* 0.5 x))) (sin (* 0.5 x))) (* 3.0 (sin x)) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (* (cbrt (/ (sin (* 0.5 x)) (sin x))) (cbrt (/ (sin (* 0.5 x)) (sin x))))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sqrt (/ (sin (* 0.5 x)) (sin x)))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (* (cbrt (sin x)) (cbrt (sin x))))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (sqrt (sin x)))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) 1)) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sqrt (sin (* 0.5 x))) (* (cbrt (sin x)) (cbrt (sin x))))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x)))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sqrt (sin (* 0.5 x))) 1)) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x))))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ 1 (sqrt (sin 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 (* 0.5 x))) (* (/ (sin (* 0.5 x)) 3.0) (/ (sin (* 0.5 x)) (sin x))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin (* 0.5 x))) (* (* 8.0 (sin (* 0.5 x))) (/ (sin (* 0.5 x)) (sin x))) (expm1 (/ (sin (* 0.5 x)) (sin x))) (log1p (/ (sin (* 0.5 x)) (sin x))) (- (log (sin (* 0.5 x))) (log (sin x))) (log (/ (sin (* 0.5 x)) (sin x))) (exp (/ (sin (* 0.5 x)) (sin x))) (/ (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x))) (* (* (sin x) (sin x)) (sin x))) (* (cbrt (/ (sin (* 0.5 x)) (sin x))) (cbrt (/ (sin (* 0.5 x)) (sin x)))) (cbrt (/ (sin (* 0.5 x)) (sin x))) (* (* (/ (sin (* 0.5 x)) (sin x)) (/ (sin (* 0.5 x)) (sin x))) (/ (sin (* 0.5 x)) (sin x))) (sqrt (/ (sin (* 0.5 x)) (sin x))) (sqrt (/ (sin (* 0.5 x)) (sin x))) (- (sin (* 0.5 x))) (- (sin x)) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt (sin (* 0.5 x))) (cbrt (sin x))) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (sqrt (sin x))) (/ (cbrt (sin (* 0.5 x))) (sqrt (sin x))) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) 1) (/ (cbrt (sin (* 0.5 x))) (sin x)) (/ (sqrt (sin (* 0.5 x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (sin (* 0.5 x))) (cbrt (sin x))) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x))) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x))) (/ (sqrt (sin (* 0.5 x))) 1) (/ (sqrt (sin (* 0.5 x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sin (* 0.5 x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (sin (* 0.5 x)) (sqrt (sin x))) (/ 1 1) (/ (sin (* 0.5 x)) (sin x)) (/ 1 (sin x)) (/ (sin x) (sin (* 0.5 x))) (/ (sin (* 0.5 x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sin (* 0.5 x)) (sqrt (sin x))) (/ (sin (* 0.5 x)) 1) (/ (sin x) (cbrt (sin (* 0.5 x)))) (/ (sin x) (sqrt (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 x))) (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))) (+ (* 0.0625 (pow x 2)) (+ (* 0.006510416666666666 (pow x 4)) 0.5)) (/ (sin (* 0.5 x)) (sin x)) (/ (sin (* 0.5 x)) (sin x)) (- (+ (* 0.16666666666666666 x) (* 8.680555555555555e-05 (pow x 5))) (* 0.006944444444444444 (pow x 3))) (* 0.3333333333333333 (sin (* 0.5 x))) (* 0.3333333333333333 (sin (* 0.5 x))) 1.299 * * [simplify]: iteration 0 : 437 enodes (cost 968 ) 1.308 * * [simplify]: iteration 1 : 2144 enodes (cost 808 ) 1.344 * * [simplify]: iteration 2 : 5001 enodes (cost 786 ) 1.349 * [simplify]: Simplified to: (expm1 (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))) (log1p (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))) (/ (/ (* 8.0 (pow (sin (* 0.5 x)) 2)) (sin x)) 3.0) (/ (/ (* 8.0 (pow (sin (* 0.5 x)) 2)) (sin x)) 3.0) (- (log (/ (* 8.0 (pow (sin (* 0.5 x)) 2)) (sin x))) (log 3.0)) (- (log (/ (* 8.0 (pow (sin (* 0.5 x)) 2)) (sin x))) (log 3.0)) (- (log (/ (* 8.0 (pow (sin (* 0.5 x)) 2)) (sin x))) (log 3.0)) (- (log (/ (* 8.0 (pow (sin (* 0.5 x)) 2)) (sin x))) (log 3.0)) (- (log (/ (* 8.0 (pow (sin (* 0.5 x)) 2)) (sin x))) (log 3.0)) (- (log (/ (* 8.0 (pow (sin (* 0.5 x)) 2)) (sin x))) (log 3.0)) (- (log (/ (* 8.0 (pow (sin (* 0.5 x)) 2)) (sin x))) (log 3.0)) (pow (exp 1) (/ (/ (* 8.0 (pow (sin (* 0.5 x)) 2)) (sin x)) 3.0)) (pow (/ (/ (* 8.0 (pow (sin (* 0.5 x)) 2)) (sin x)) 3.0) 3) (pow (/ (/ (* 8.0 (pow (sin (* 0.5 x)) 2)) (sin x)) 3.0) 3) (pow (/ (/ (* 8.0 (pow (sin (* 0.5 x)) 2)) (sin x)) 3.0) 3) (pow (/ (/ (* 8.0 (pow (sin (* 0.5 x)) 2)) (sin x)) 3.0) 3) (pow (/ (/ (* 8.0 (pow (sin (* 0.5 x)) 2)) (sin x)) 3.0) 3) (pow (/ (/ (* 8.0 (pow (sin (* 0.5 x)) 2)) (sin x)) 3.0) 3) (* (cbrt (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))) (cbrt (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x))))) (cbrt (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))) (pow (/ (/ (* 8.0 (pow (sin (* 0.5 x)) 2)) (sin x)) 3.0) 3) (sqrt (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))) (sqrt (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))) (* 8.0 (pow (sin (* 0.5 x)) 2)) (* 3.0 (sin x)) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (* (cbrt (/ (sin (* 0.5 x)) (sin x))) (cbrt (/ (sin (* 0.5 x)) (sin x))))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sqrt (/ (sin (* 0.5 x)) (sin x)))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (* (cbrt (sin x)) (cbrt (sin x))))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (sqrt (sin x)))) (* 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))) (* (cbrt (sin x)) (cbrt (sin x))))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x)))) (* 8.0 (* (/ (sin (* 0.5 x)) 3.0) (sqrt (sin (* 0.5 x))))) (/ (* 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)) (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (* (/ (pow (sin (* 0.5 x)) 2) 3.0) 8.0) (* (/ (sin (* 0.5 x)) 3.0) (/ (sin (* 0.5 x)) (sin x))) (* (/ (pow (sin (* 0.5 x)) 2) 3.0) 8.0) (/ (* 8.0 (pow (sin (* 0.5 x)) 2)) (sin x)) (expm1 (/ (sin (* 0.5 x)) (sin x))) (log1p (/ (sin (* 0.5 x)) (sin x))) (log (/ (sin (* 0.5 x)) (sin x))) (log (/ (sin (* 0.5 x)) (sin x))) (exp (/ (sin (* 0.5 x)) (sin x))) (pow (/ (sin (* 0.5 x)) (sin x)) 3) (* (cbrt (/ (sin (* 0.5 x)) (sin x))) (cbrt (/ (sin (* 0.5 x)) (sin x)))) (cbrt (/ (sin (* 0.5 x)) (sin x))) (pow (/ (sin (* 0.5 x)) (sin x)) 3) (sqrt (/ (sin (* 0.5 x)) (sin x))) (sqrt (/ (sin (* 0.5 x)) (sin x))) (- (sin (* 0.5 x))) (- (sin x)) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt (sin (* 0.5 x))) (cbrt (sin x))) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (sqrt (sin x))) (/ (cbrt (sin (* 0.5 x))) (sqrt (sin x))) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (/ (cbrt (sin (* 0.5 x))) (sin x)) (/ (sqrt (sin (* 0.5 x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (sin (* 0.5 x))) (cbrt (sin x))) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x))) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x))) (sqrt (sin (* 0.5 x))) (/ (sqrt (sin (* 0.5 x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sin (* 0.5 x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (sin (* 0.5 x)) (sqrt (sin x))) 1 (/ (sin (* 0.5 x)) (sin x)) (/ 1 (sin x)) (/ (sin x) (sin (* 0.5 x))) (/ (sin (* 0.5 x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sin (* 0.5 x)) (sqrt (sin x))) (sin (* 0.5 x)) (/ (sin x) (cbrt (sin (* 0.5 x)))) (/ (sin x) (sqrt (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 x))) (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 0.0625 (pow x 2) (fma 0.006510416666666666 (pow x 4) 0.5)) (/ (sin (* 0.5 x)) (sin x)) (/ (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))) 1.349 * * * [progress]: adding candidates to table 1.548 * * [progress]: iteration 4 / 4 1.548 * * * [progress]: picking best candidate 1.570 * * * * [pick]: Picked # 1.570 * * * [progress]: localizing error 1.584 * * * [progress]: generating rewritten candidates 1.584 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.592 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 1.596 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 1.597 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 1) 1.604 * * * [progress]: generating series expansions 1.604 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.604 * [approximate]: Taking taylor expansion of (* 8.0 (/ (* (sin (* 0.5 x)) (log1p (expm1 (* 0.3333333333333333 (sin (* 0.5 x)))))) (sin x))) in (x) around 0 1.604 * [taylor]: Taking taylor expansion of (* 8.0 (/ (* (sin (* 0.5 x)) (log1p (expm1 (* 0.3333333333333333 (sin (* 0.5 x)))))) (sin x))) in x 1.604 * [taylor]: Taking taylor expansion of 8.0 in x 1.604 * [taylor]: Taking taylor expansion of (/ (* (sin (* 0.5 x)) (log1p (expm1 (* 0.3333333333333333 (sin (* 0.5 x)))))) (sin x)) in x 1.604 * [taylor]: Taking taylor expansion of (* (sin (* 0.5 x)) (log1p (expm1 (* 0.3333333333333333 (sin (* 0.5 x)))))) in x 1.604 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.604 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.604 * [taylor]: Taking taylor expansion of 0.5 in x 1.604 * [taylor]: Taking taylor expansion of x in x 1.606 * [taylor]: Taking taylor expansion of (log1p (expm1 (* 0.3333333333333333 (sin (* 0.5 x))))) in x 1.606 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* 0.3333333333333333 (sin (* 0.5 x)))))) 1.606 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* 0.3333333333333333 (sin (* 0.5 x))))) in x 1.606 * [taylor]: Taking taylor expansion of 1 in x 1.606 * [taylor]: Taking taylor expansion of (expm1 (* 0.3333333333333333 (sin (* 0.5 x)))) in x 1.606 * [taylor]: Rewrote expression to (- (exp (* 0.3333333333333333 (sin (* 0.5 x)))) 1) 1.606 * [taylor]: Taking taylor expansion of (exp (* 0.3333333333333333 (sin (* 0.5 x)))) in x 1.606 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (* 0.5 x))) in x 1.606 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.606 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.606 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.606 * [taylor]: Taking taylor expansion of 0.5 in x 1.606 * [taylor]: Taking taylor expansion of x in x 1.610 * [taylor]: Taking taylor expansion of 1 in x 1.611 * [taylor]: Taking taylor expansion of (sin x) in x 1.611 * [taylor]: Taking taylor expansion of x in x 1.639 * [taylor]: Taking taylor expansion of (* 8.0 (/ (* (sin (* 0.5 x)) (log1p (expm1 (* 0.3333333333333333 (sin (* 0.5 x)))))) (sin x))) in x 1.639 * [taylor]: Taking taylor expansion of 8.0 in x 1.639 * [taylor]: Taking taylor expansion of (/ (* (sin (* 0.5 x)) (log1p (expm1 (* 0.3333333333333333 (sin (* 0.5 x)))))) (sin x)) in x 1.639 * [taylor]: Taking taylor expansion of (* (sin (* 0.5 x)) (log1p (expm1 (* 0.3333333333333333 (sin (* 0.5 x)))))) in x 1.639 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.639 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.639 * [taylor]: Taking taylor expansion of 0.5 in x 1.639 * [taylor]: Taking taylor expansion of x in x 1.640 * [taylor]: Taking taylor expansion of (log1p (expm1 (* 0.3333333333333333 (sin (* 0.5 x))))) in x 1.640 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* 0.3333333333333333 (sin (* 0.5 x)))))) 1.640 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* 0.3333333333333333 (sin (* 0.5 x))))) in x 1.640 * [taylor]: Taking taylor expansion of 1 in x 1.640 * [taylor]: Taking taylor expansion of (expm1 (* 0.3333333333333333 (sin (* 0.5 x)))) in x 1.640 * [taylor]: Rewrote expression to (- (exp (* 0.3333333333333333 (sin (* 0.5 x)))) 1) 1.640 * [taylor]: Taking taylor expansion of (exp (* 0.3333333333333333 (sin (* 0.5 x)))) in x 1.640 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (* 0.5 x))) in x 1.640 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.640 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.640 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.640 * [taylor]: Taking taylor expansion of 0.5 in x 1.640 * [taylor]: Taking taylor expansion of x in x 1.644 * [taylor]: Taking taylor expansion of 1 in x 1.645 * [taylor]: Taking taylor expansion of (sin x) in x 1.645 * [taylor]: Taking taylor expansion of x in x 1.839 * [approximate]: Taking taylor expansion of (* 8.0 (/ (* (sin (/ 0.5 x)) (log1p (expm1 (* 0.3333333333333333 (sin (/ 0.5 x)))))) (sin (/ 1 x)))) in (x) around 0 1.840 * [taylor]: Taking taylor expansion of (* 8.0 (/ (* (sin (/ 0.5 x)) (log1p (expm1 (* 0.3333333333333333 (sin (/ 0.5 x)))))) (sin (/ 1 x)))) in x 1.840 * [taylor]: Taking taylor expansion of 8.0 in x 1.840 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 0.5 x)) (log1p (expm1 (* 0.3333333333333333 (sin (/ 0.5 x)))))) (sin (/ 1 x))) in x 1.840 * [taylor]: Taking taylor expansion of (* (sin (/ 0.5 x)) (log1p (expm1 (* 0.3333333333333333 (sin (/ 0.5 x)))))) in x 1.840 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.840 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.840 * [taylor]: Taking taylor expansion of 0.5 in x 1.840 * [taylor]: Taking taylor expansion of x in x 1.840 * [taylor]: Taking taylor expansion of (log1p (expm1 (* 0.3333333333333333 (sin (/ 0.5 x))))) in x 1.840 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* 0.3333333333333333 (sin (/ 0.5 x)))))) 1.840 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* 0.3333333333333333 (sin (/ 0.5 x))))) in x 1.840 * [taylor]: Taking taylor expansion of 1 in x 1.840 * [taylor]: Taking taylor expansion of (expm1 (* 0.3333333333333333 (sin (/ 0.5 x)))) in x 1.840 * [taylor]: Rewrote expression to (- (exp (* 0.3333333333333333 (sin (/ 0.5 x)))) 1) 1.840 * [taylor]: Taking taylor expansion of (exp (* 0.3333333333333333 (sin (/ 0.5 x)))) in x 1.840 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ 0.5 x))) in x 1.840 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.840 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.840 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.840 * [taylor]: Taking taylor expansion of 0.5 in x 1.840 * [taylor]: Taking taylor expansion of x in x 1.841 * [taylor]: Taking taylor expansion of 1 in x 1.841 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.841 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.841 * [taylor]: Taking taylor expansion of x in x 1.842 * [taylor]: Taking taylor expansion of (* 8.0 (/ (* (sin (/ 0.5 x)) (log1p (expm1 (* 0.3333333333333333 (sin (/ 0.5 x)))))) (sin (/ 1 x)))) in x 1.842 * [taylor]: Taking taylor expansion of 8.0 in x 1.842 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 0.5 x)) (log1p (expm1 (* 0.3333333333333333 (sin (/ 0.5 x)))))) (sin (/ 1 x))) in x 1.842 * [taylor]: Taking taylor expansion of (* (sin (/ 0.5 x)) (log1p (expm1 (* 0.3333333333333333 (sin (/ 0.5 x)))))) in x 1.842 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.842 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.842 * [taylor]: Taking taylor expansion of 0.5 in x 1.842 * [taylor]: Taking taylor expansion of x in x 1.842 * [taylor]: Taking taylor expansion of (log1p (expm1 (* 0.3333333333333333 (sin (/ 0.5 x))))) in x 1.842 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* 0.3333333333333333 (sin (/ 0.5 x)))))) 1.842 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* 0.3333333333333333 (sin (/ 0.5 x))))) in x 1.842 * [taylor]: Taking taylor expansion of 1 in x 1.842 * [taylor]: Taking taylor expansion of (expm1 (* 0.3333333333333333 (sin (/ 0.5 x)))) in x 1.842 * [taylor]: Rewrote expression to (- (exp (* 0.3333333333333333 (sin (/ 0.5 x)))) 1) 1.843 * [taylor]: Taking taylor expansion of (exp (* 0.3333333333333333 (sin (/ 0.5 x)))) in x 1.843 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ 0.5 x))) in x 1.843 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.843 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.843 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.843 * [taylor]: Taking taylor expansion of 0.5 in x 1.843 * [taylor]: Taking taylor expansion of x in x 1.843 * [taylor]: Taking taylor expansion of 1 in x 1.843 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.844 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.844 * [taylor]: Taking taylor expansion of x in x 1.899 * [approximate]: Taking taylor expansion of (* 8.0 (/ (* (log1p (expm1 (* 0.3333333333333333 (sin (/ -0.5 x))))) (sin (/ -0.5 x))) (sin (/ -1 x)))) in (x) around 0 1.899 * [taylor]: Taking taylor expansion of (* 8.0 (/ (* (log1p (expm1 (* 0.3333333333333333 (sin (/ -0.5 x))))) (sin (/ -0.5 x))) (sin (/ -1 x)))) in x 1.899 * [taylor]: Taking taylor expansion of 8.0 in x 1.899 * [taylor]: Taking taylor expansion of (/ (* (log1p (expm1 (* 0.3333333333333333 (sin (/ -0.5 x))))) (sin (/ -0.5 x))) (sin (/ -1 x))) in x 1.899 * [taylor]: Taking taylor expansion of (* (log1p (expm1 (* 0.3333333333333333 (sin (/ -0.5 x))))) (sin (/ -0.5 x))) in x 1.899 * [taylor]: Taking taylor expansion of (log1p (expm1 (* 0.3333333333333333 (sin (/ -0.5 x))))) in x 1.899 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* 0.3333333333333333 (sin (/ -0.5 x)))))) 1.899 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* 0.3333333333333333 (sin (/ -0.5 x))))) in x 1.899 * [taylor]: Taking taylor expansion of 1 in x 1.899 * [taylor]: Taking taylor expansion of (expm1 (* 0.3333333333333333 (sin (/ -0.5 x)))) in x 1.899 * [taylor]: Rewrote expression to (- (exp (* 0.3333333333333333 (sin (/ -0.5 x)))) 1) 1.899 * [taylor]: Taking taylor expansion of (exp (* 0.3333333333333333 (sin (/ -0.5 x)))) in x 1.899 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ -0.5 x))) in x 1.899 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.899 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.899 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.899 * [taylor]: Taking taylor expansion of -0.5 in x 1.899 * [taylor]: Taking taylor expansion of x in x 1.900 * [taylor]: Taking taylor expansion of 1 in x 1.900 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.900 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.900 * [taylor]: Taking taylor expansion of -0.5 in x 1.900 * [taylor]: Taking taylor expansion of x in x 1.901 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.901 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.901 * [taylor]: Taking taylor expansion of -1 in x 1.901 * [taylor]: Taking taylor expansion of x in x 1.901 * [taylor]: Taking taylor expansion of (* 8.0 (/ (* (log1p (expm1 (* 0.3333333333333333 (sin (/ -0.5 x))))) (sin (/ -0.5 x))) (sin (/ -1 x)))) in x 1.901 * [taylor]: Taking taylor expansion of 8.0 in x 1.901 * [taylor]: Taking taylor expansion of (/ (* (log1p (expm1 (* 0.3333333333333333 (sin (/ -0.5 x))))) (sin (/ -0.5 x))) (sin (/ -1 x))) in x 1.901 * [taylor]: Taking taylor expansion of (* (log1p (expm1 (* 0.3333333333333333 (sin (/ -0.5 x))))) (sin (/ -0.5 x))) in x 1.901 * [taylor]: Taking taylor expansion of (log1p (expm1 (* 0.3333333333333333 (sin (/ -0.5 x))))) in x 1.901 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* 0.3333333333333333 (sin (/ -0.5 x)))))) 1.901 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* 0.3333333333333333 (sin (/ -0.5 x))))) in x 1.901 * [taylor]: Taking taylor expansion of 1 in x 1.901 * [taylor]: Taking taylor expansion of (expm1 (* 0.3333333333333333 (sin (/ -0.5 x)))) in x 1.901 * [taylor]: Rewrote expression to (- (exp (* 0.3333333333333333 (sin (/ -0.5 x)))) 1) 1.901 * [taylor]: Taking taylor expansion of (exp (* 0.3333333333333333 (sin (/ -0.5 x)))) in x 1.901 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ -0.5 x))) in x 1.901 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.902 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.902 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.902 * [taylor]: Taking taylor expansion of -0.5 in x 1.902 * [taylor]: Taking taylor expansion of x in x 1.902 * [taylor]: Taking taylor expansion of 1 in x 1.902 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.902 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.902 * [taylor]: Taking taylor expansion of -0.5 in x 1.903 * [taylor]: Taking taylor expansion of x in x 1.903 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.903 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.903 * [taylor]: Taking taylor expansion of -1 in x 1.903 * [taylor]: Taking taylor expansion of x in x 1.957 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 1.957 * [approximate]: Taking taylor expansion of (/ (sin (* 0.5 x)) (sin x)) in (x) around 0 1.957 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 x)) (sin x)) in x 1.957 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.957 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.957 * [taylor]: Taking taylor expansion of 0.5 in x 1.957 * [taylor]: Taking taylor expansion of x in x 1.958 * [taylor]: Taking taylor expansion of (sin x) in x 1.958 * [taylor]: Taking taylor expansion of x in x 1.961 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 x)) (sin x)) in x 1.961 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.961 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.961 * [taylor]: Taking taylor expansion of 0.5 in x 1.961 * [taylor]: Taking taylor expansion of x in x 1.962 * [taylor]: Taking taylor expansion of (sin x) in x 1.962 * [taylor]: Taking taylor expansion of x in x 1.986 * [approximate]: Taking taylor expansion of (/ (sin (/ 0.5 x)) (sin (/ 1 x))) in (x) around 0 1.986 * [taylor]: Taking taylor expansion of (/ (sin (/ 0.5 x)) (sin (/ 1 x))) in x 1.986 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.986 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.986 * [taylor]: Taking taylor expansion of 0.5 in x 1.986 * [taylor]: Taking taylor expansion of x in x 1.987 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.987 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.987 * [taylor]: Taking taylor expansion of x in x 1.987 * [taylor]: Taking taylor expansion of (/ (sin (/ 0.5 x)) (sin (/ 1 x))) in x 1.987 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.987 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.987 * [taylor]: Taking taylor expansion of 0.5 in x 1.987 * [taylor]: Taking taylor expansion of x in x 1.987 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.987 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.988 * [taylor]: Taking taylor expansion of x in x 1.990 * [approximate]: Taking taylor expansion of (/ (sin (/ -0.5 x)) (sin (/ -1 x))) in (x) around 0 1.990 * [taylor]: Taking taylor expansion of (/ (sin (/ -0.5 x)) (sin (/ -1 x))) in x 1.990 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.990 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.990 * [taylor]: Taking taylor expansion of -0.5 in x 1.990 * [taylor]: Taking taylor expansion of x in x 1.990 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.990 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.990 * [taylor]: Taking taylor expansion of -1 in x 1.990 * [taylor]: Taking taylor expansion of x in x 1.991 * [taylor]: Taking taylor expansion of (/ (sin (/ -0.5 x)) (sin (/ -1 x))) in x 1.991 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.991 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.991 * [taylor]: Taking taylor expansion of -0.5 in x 1.991 * [taylor]: Taking taylor expansion of x in x 1.991 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.991 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.991 * [taylor]: Taking taylor expansion of -1 in x 1.991 * [taylor]: Taking taylor expansion of x in x 1.993 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 1.993 * [approximate]: Taking taylor expansion of (expm1 (* 0.3333333333333333 (sin (* 0.5 x)))) in (x) around 0 1.993 * [taylor]: Taking taylor expansion of (expm1 (* 0.3333333333333333 (sin (* 0.5 x)))) in x 1.994 * [taylor]: Rewrote expression to (- (exp (* 0.3333333333333333 (sin (* 0.5 x)))) 1) 1.994 * [taylor]: Taking taylor expansion of (exp (* 0.3333333333333333 (sin (* 0.5 x)))) in x 1.994 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (* 0.5 x))) in x 1.994 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.994 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.994 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.994 * [taylor]: Taking taylor expansion of 0.5 in x 1.994 * [taylor]: Taking taylor expansion of x in x 1.997 * [taylor]: Taking taylor expansion of 1 in x 1.997 * [taylor]: Taking taylor expansion of (expm1 (* 0.3333333333333333 (sin (* 0.5 x)))) in x 1.998 * [taylor]: Rewrote expression to (- (exp (* 0.3333333333333333 (sin (* 0.5 x)))) 1) 1.998 * [taylor]: Taking taylor expansion of (exp (* 0.3333333333333333 (sin (* 0.5 x)))) in x 1.998 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (* 0.5 x))) in x 1.998 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.998 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.998 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.998 * [taylor]: Taking taylor expansion of 0.5 in x 1.998 * [taylor]: Taking taylor expansion of x in x 2.001 * [taylor]: Taking taylor expansion of 1 in x 2.021 * [approximate]: Taking taylor expansion of (expm1 (* 0.3333333333333333 (sin (/ 0.5 x)))) in (x) around 0 2.021 * [taylor]: Taking taylor expansion of (expm1 (* 0.3333333333333333 (sin (/ 0.5 x)))) in x 2.021 * [taylor]: Rewrote expression to (- (exp (* 0.3333333333333333 (sin (/ 0.5 x)))) 1) 2.021 * [taylor]: Taking taylor expansion of (exp (* 0.3333333333333333 (sin (/ 0.5 x)))) in x 2.021 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ 0.5 x))) in x 2.021 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.021 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.021 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.021 * [taylor]: Taking taylor expansion of 0.5 in x 2.021 * [taylor]: Taking taylor expansion of x in x 2.022 * [taylor]: Taking taylor expansion of 1 in x 2.022 * [taylor]: Taking taylor expansion of (expm1 (* 0.3333333333333333 (sin (/ 0.5 x)))) in x 2.022 * [taylor]: Rewrote expression to (- (exp (* 0.3333333333333333 (sin (/ 0.5 x)))) 1) 2.022 * [taylor]: Taking taylor expansion of (exp (* 0.3333333333333333 (sin (/ 0.5 x)))) in x 2.022 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ 0.5 x))) in x 2.022 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.022 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.022 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.022 * [taylor]: Taking taylor expansion of 0.5 in x 2.022 * [taylor]: Taking taylor expansion of x in x 2.022 * [taylor]: Taking taylor expansion of 1 in x 2.045 * [approximate]: Taking taylor expansion of (expm1 (* 0.3333333333333333 (sin (/ -0.5 x)))) in (x) around 0 2.045 * [taylor]: Taking taylor expansion of (expm1 (* 0.3333333333333333 (sin (/ -0.5 x)))) in x 2.046 * [taylor]: Rewrote expression to (- (exp (* 0.3333333333333333 (sin (/ -0.5 x)))) 1) 2.046 * [taylor]: Taking taylor expansion of (exp (* 0.3333333333333333 (sin (/ -0.5 x)))) in x 2.046 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ -0.5 x))) in x 2.046 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.046 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.046 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.046 * [taylor]: Taking taylor expansion of -0.5 in x 2.046 * [taylor]: Taking taylor expansion of x in x 2.046 * [taylor]: Taking taylor expansion of 1 in x 2.046 * [taylor]: Taking taylor expansion of (expm1 (* 0.3333333333333333 (sin (/ -0.5 x)))) in x 2.046 * [taylor]: Rewrote expression to (- (exp (* 0.3333333333333333 (sin (/ -0.5 x)))) 1) 2.046 * [taylor]: Taking taylor expansion of (exp (* 0.3333333333333333 (sin (/ -0.5 x)))) in x 2.046 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ -0.5 x))) in x 2.046 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.046 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.046 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.046 * [taylor]: Taking taylor expansion of -0.5 in x 2.047 * [taylor]: Taking taylor expansion of x in x 2.047 * [taylor]: Taking taylor expansion of 1 in x 2.064 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 1) 2.064 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (sin (* 0.5 x))) in (x) around 0 2.064 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (* 0.5 x))) in x 2.064 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.064 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 2.064 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 2.064 * [taylor]: Taking taylor expansion of 0.5 in x 2.064 * [taylor]: Taking taylor expansion of x in x 2.066 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (* 0.5 x))) in x 2.066 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.066 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 2.066 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 2.066 * [taylor]: Taking taylor expansion of 0.5 in x 2.066 * [taylor]: Taking taylor expansion of x in x 2.086 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ 0.5 x))) in (x) around 0 2.086 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ 0.5 x))) in x 2.086 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.086 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.086 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.086 * [taylor]: Taking taylor expansion of 0.5 in x 2.086 * [taylor]: Taking taylor expansion of x in x 2.086 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ 0.5 x))) in x 2.086 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.086 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.086 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.086 * [taylor]: Taking taylor expansion of 0.5 in x 2.086 * [taylor]: Taking taylor expansion of x in x 2.092 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ -0.5 x))) in (x) around 0 2.092 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ -0.5 x))) in x 2.092 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.092 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.092 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.092 * [taylor]: Taking taylor expansion of -0.5 in x 2.092 * [taylor]: Taking taylor expansion of x in x 2.093 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ -0.5 x))) in x 2.093 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.093 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.093 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.093 * [taylor]: Taking taylor expansion of -0.5 in x 2.093 * [taylor]: Taking taylor expansion of x in x 2.099 * * * [progress]: simplifying candidates 2.101 * [simplify]: Simplifying using # : (expm1 (* (* 8.0 (log1p (expm1 (/ (sin (* 0.5 x)) 3.0)))) (/ (sin (* 0.5 x)) (sin x)))) (log1p (* (* 8.0 (log1p (expm1 (/ (sin (* 0.5 x)) 3.0)))) (/ (sin (* 0.5 x)) (sin x)))) (* (* 8.0 (log1p (expm1 (/ (sin (* 0.5 x)) 3.0)))) (/ (sin (* 0.5 x)) (sin x))) (* (* 8.0 (log1p (expm1 (/ (sin (* 0.5 x)) 3.0)))) (/ (sin (* 0.5 x)) (sin x))) (+ (+ (log 8.0) (log (log1p (expm1 (/ (sin (* 0.5 x)) 3.0))))) (- (log (sin (* 0.5 x))) (log (sin x)))) (+ (+ (log 8.0) (log (log1p (expm1 (/ (sin (* 0.5 x)) 3.0))))) (log (/ (sin (* 0.5 x)) (sin x)))) (+ (log (* 8.0 (log1p (expm1 (/ (sin (* 0.5 x)) 3.0))))) (- (log (sin (* 0.5 x))) (log (sin x)))) (+ (log (* 8.0 (log1p (expm1 (/ (sin (* 0.5 x)) 3.0))))) (log (/ (sin (* 0.5 x)) (sin x)))) (log (* (* 8.0 (log1p (expm1 (/ (sin (* 0.5 x)) 3.0)))) (/ (sin (* 0.5 x)) (sin x)))) (exp (* (* 8.0 (log1p (expm1 (/ (sin (* 0.5 x)) 3.0)))) (/ (sin (* 0.5 x)) (sin x)))) (* (* (* (* 8.0 8.0) 8.0) (* (* (log1p (expm1 (/ (sin (* 0.5 x)) 3.0))) (log1p (expm1 (/ (sin (* 0.5 x)) 3.0)))) (log1p (expm1 (/ (sin (* 0.5 x)) 3.0))))) (/ (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x))) (* (* (sin x) (sin x)) (sin x)))) (* (* (* (* 8.0 8.0) 8.0) (* (* (log1p (expm1 (/ (sin (* 0.5 x)) 3.0))) (log1p (expm1 (/ (sin (* 0.5 x)) 3.0)))) (log1p (expm1 (/ (sin (* 0.5 x)) 3.0))))) (* (* (/ (sin (* 0.5 x)) (sin x)) (/ (sin (* 0.5 x)) (sin x))) (/ (sin (* 0.5 x)) (sin x)))) (* (* (* (* 8.0 (log1p (expm1 (/ (sin (* 0.5 x)) 3.0)))) (* 8.0 (log1p (expm1 (/ (sin (* 0.5 x)) 3.0))))) (* 8.0 (log1p (expm1 (/ (sin (* 0.5 x)) 3.0))))) (/ (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x))) (* (* (sin x) (sin x)) (sin x)))) (* (* (* (* 8.0 (log1p (expm1 (/ (sin (* 0.5 x)) 3.0)))) (* 8.0 (log1p (expm1 (/ (sin (* 0.5 x)) 3.0))))) (* 8.0 (log1p (expm1 (/ (sin (* 0.5 x)) 3.0))))) (* (* (/ (sin (* 0.5 x)) (sin x)) (/ (sin (* 0.5 x)) (sin x))) (/ (sin (* 0.5 x)) (sin x)))) (* (cbrt (* (* 8.0 (log1p (expm1 (/ (sin (* 0.5 x)) 3.0)))) (/ (sin (* 0.5 x)) (sin x)))) (cbrt (* (* 8.0 (log1p (expm1 (/ (sin (* 0.5 x)) 3.0)))) (/ (sin (* 0.5 x)) (sin x))))) (cbrt (* (* 8.0 (log1p (expm1 (/ (sin (* 0.5 x)) 3.0)))) (/ (sin (* 0.5 x)) (sin x)))) (* (* (* (* 8.0 (log1p (expm1 (/ (sin (* 0.5 x)) 3.0)))) (/ (sin (* 0.5 x)) (sin x))) (* (* 8.0 (log1p (expm1 (/ (sin (* 0.5 x)) 3.0)))) (/ (sin (* 0.5 x)) (sin x)))) (* (* 8.0 (log1p (expm1 (/ (sin (* 0.5 x)) 3.0)))) (/ (sin (* 0.5 x)) (sin x)))) (sqrt (* (* 8.0 (log1p (expm1 (/ (sin (* 0.5 x)) 3.0)))) (/ (sin (* 0.5 x)) (sin x)))) (sqrt (* (* 8.0 (log1p (expm1 (/ (sin (* 0.5 x)) 3.0)))) (/ (sin (* 0.5 x)) (sin x)))) (* (* 8.0 (log1p (expm1 (/ (sin (* 0.5 x)) 3.0)))) (* (cbrt (/ (sin (* 0.5 x)) (sin x))) (cbrt (/ (sin (* 0.5 x)) (sin x))))) (* (* 8.0 (log1p (expm1 (/ (sin (* 0.5 x)) 3.0)))) (sqrt (/ (sin (* 0.5 x)) (sin x)))) (* (* 8.0 (log1p (expm1 (/ (sin (* 0.5 x)) 3.0)))) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (* (cbrt (sin x)) (cbrt (sin x))))) (* (* 8.0 (log1p (expm1 (/ (sin (* 0.5 x)) 3.0)))) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (sqrt (sin x)))) (* (* 8.0 (log1p (expm1 (/ (sin (* 0.5 x)) 3.0)))) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) 1)) (* (* 8.0 (log1p (expm1 (/ (sin (* 0.5 x)) 3.0)))) (/ (sqrt (sin (* 0.5 x))) (* (cbrt (sin x)) (cbrt (sin x))))) (* (* 8.0 (log1p (expm1 (/ (sin (* 0.5 x)) 3.0)))) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x)))) (* (* 8.0 (log1p (expm1 (/ (sin (* 0.5 x)) 3.0)))) (/ (sqrt (sin (* 0.5 x))) 1)) (* (* 8.0 (log1p (expm1 (/ (sin (* 0.5 x)) 3.0)))) (/ 1 (* (cbrt (sin x)) (cbrt (sin x))))) (* (* 8.0 (log1p (expm1 (/ (sin (* 0.5 x)) 3.0)))) (/ 1 (sqrt (sin x)))) (* (* 8.0 (log1p (expm1 (/ (sin (* 0.5 x)) 3.0)))) (/ 1 1)) (* (* 8.0 (log1p (expm1 (/ (sin (* 0.5 x)) 3.0)))) 1) (* (* 8.0 (log1p (expm1 (/ (sin (* 0.5 x)) 3.0)))) (sin (* 0.5 x))) (* (log1p (expm1 (/ (sin (* 0.5 x)) 3.0))) (/ (sin (* 0.5 x)) (sin x))) (* (* 8.0 (log1p (expm1 (/ (sin (* 0.5 x)) 3.0)))) (sin (* 0.5 x))) (expm1 (/ (sin (* 0.5 x)) (sin x))) (log1p (/ (sin (* 0.5 x)) (sin x))) (- (log (sin (* 0.5 x))) (log (sin x))) (log (/ (sin (* 0.5 x)) (sin x))) (exp (/ (sin (* 0.5 x)) (sin x))) (/ (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x))) (* (* (sin x) (sin x)) (sin x))) (* (cbrt (/ (sin (* 0.5 x)) (sin x))) (cbrt (/ (sin (* 0.5 x)) (sin x)))) (cbrt (/ (sin (* 0.5 x)) (sin x))) (* (* (/ (sin (* 0.5 x)) (sin x)) (/ (sin (* 0.5 x)) (sin x))) (/ (sin (* 0.5 x)) (sin x))) (sqrt (/ (sin (* 0.5 x)) (sin x))) (sqrt (/ (sin (* 0.5 x)) (sin x))) (- (sin (* 0.5 x))) (- (sin x)) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt (sin (* 0.5 x))) (cbrt (sin x))) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (sqrt (sin x))) (/ (cbrt (sin (* 0.5 x))) (sqrt (sin x))) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) 1) (/ (cbrt (sin (* 0.5 x))) (sin x)) (/ (sqrt (sin (* 0.5 x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (sin (* 0.5 x))) (cbrt (sin x))) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x))) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x))) (/ (sqrt (sin (* 0.5 x))) 1) (/ (sqrt (sin (* 0.5 x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sin (* 0.5 x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (sin (* 0.5 x)) (sqrt (sin x))) (/ 1 1) (/ (sin (* 0.5 x)) (sin x)) (/ 1 (sin x)) (/ (sin x) (sin (* 0.5 x))) (/ (sin (* 0.5 x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sin (* 0.5 x)) (sqrt (sin x))) (/ (sin (* 0.5 x)) 1) (/ (sin x) (cbrt (sin (* 0.5 x)))) (/ (sin x) (sqrt (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 x))) (exp (/ (sin (* 0.5 x)) 3.0)) (expm1 (expm1 (/ (sin (* 0.5 x)) 3.0))) (log1p (expm1 (/ (sin (* 0.5 x)) 3.0))) (log (expm1 (/ (sin (* 0.5 x)) 3.0))) (exp (expm1 (/ (sin (* 0.5 x)) 3.0))) (* (cbrt (expm1 (/ (sin (* 0.5 x)) 3.0))) (cbrt (expm1 (/ (sin (* 0.5 x)) 3.0)))) (cbrt (expm1 (/ (sin (* 0.5 x)) 3.0))) (* (* (expm1 (/ (sin (* 0.5 x)) 3.0)) (expm1 (/ (sin (* 0.5 x)) 3.0))) (expm1 (/ (sin (* 0.5 x)) 3.0))) (sqrt (expm1 (/ (sin (* 0.5 x)) 3.0))) (sqrt (expm1 (/ (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))) (+ (* 0.05555555555555555 (pow x 3)) (+ (* 5.782411586589357e-19 (pow x 4)) (* 0.6666666666666666 x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (+ (* 0.0625 (pow x 2)) (+ (* 0.006510416666666666 (pow x 4)) 0.5)) (/ (sin (* 0.5 x)) (sin x)) (/ (sin (* 0.5 x)) (sin x)) (- (+ (* 0.013888888888888888 (pow x 2)) (* 0.16666666666666666 x)) (* 0.006172839506172839 (pow x 3))) (- (exp (* 0.3333333333333333 (sin (* 0.5 x)))) 1) (- (exp (* 0.3333333333333333 (sin (* 0.5 x)))) 1) (- (+ (* 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))) 2.109 * * [simplify]: iteration 0 : 428 enodes (cost 1007 ) 2.118 * * [simplify]: iteration 1 : 1934 enodes (cost 842 ) 2.154 * * [simplify]: iteration 2 : 5001 enodes (cost 821 ) 2.159 * [simplify]: Simplified to: (expm1 (* (* 8.0 (log1p (expm1 (/ (sin (* 0.5 x)) 3.0)))) (/ (sin (* 0.5 x)) (sin x)))) (log1p (* (* 8.0 (log1p (expm1 (/ (sin (* 0.5 x)) 3.0)))) (/ (sin (* 0.5 x)) (sin x)))) (/ 8.0 (/ (sin x) (/ (pow (sin (* 0.5 x)) 2) 3.0))) (/ 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 (log1p (expm1 (/ (sin (* 0.5 x)) 3.0)))) (/ (sin (* 0.5 x)) (sin x)))) (cbrt (* (* 8.0 (log1p (expm1 (/ (sin (* 0.5 x)) 3.0)))) (/ (sin (* 0.5 x)) (sin x))))) (cbrt (* (* 8.0 (log1p (expm1 (/ (sin (* 0.5 x)) 3.0)))) (/ (sin (* 0.5 x)) (sin x)))) (pow (/ 8.0 (/ (sin x) (/ (pow (sin (* 0.5 x)) 2) 3.0))) 3) (sqrt (* (* 8.0 (log1p (expm1 (/ (sin (* 0.5 x)) 3.0)))) (/ (sin (* 0.5 x)) (sin x)))) (sqrt (* (* 8.0 (log1p (expm1 (/ (sin (* 0.5 x)) 3.0)))) (/ (sin (* 0.5 x)) (sin x)))) (* 8.0 (* (/ (sin (* 0.5 x)) 3.0) (* (cbrt (/ (sin (* 0.5 x)) (sin x))) (cbrt (/ (sin (* 0.5 x)) (sin x)))))) (* 8.0 (* (/ (sin (* 0.5 x)) 3.0) (sqrt (/ (sin (* 0.5 x)) (sin x))))) (* 8.0 (* (/ (sin (* 0.5 x)) 3.0) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (* (cbrt (sin x)) (cbrt (sin x)))))) (* 8.0 (* (/ (sin (* 0.5 x)) 3.0) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (sqrt (sin x))))) (* 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))) (* (cbrt (sin x)) (cbrt (sin x)))))) (* 8.0 (* (/ (sin (* 0.5 x)) 3.0) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x))))) (* 8.0 (* (/ (sin (* 0.5 x)) 3.0) (sqrt (sin (* 0.5 x))))) (* (/ 8.0 (cbrt (sin x))) (/ (/ (sin (* 0.5 x)) 3.0) (cbrt (sin x)))) (/ 8.0 (/ (sqrt (sin x)) (/ (sin (* 0.5 x)) 3.0))) (* (/ (sin (* 0.5 x)) 3.0) 8.0) (* (/ (sin (* 0.5 x)) 3.0) 8.0) (* (/ (pow (sin (* 0.5 x)) 2) 3.0) 8.0) (/ (* (/ (sin (* 0.5 x)) 3.0) (sin (* 0.5 x))) (sin x)) (* (/ (pow (sin (* 0.5 x)) 2) 3.0) 8.0) (expm1 (/ (sin (* 0.5 x)) (sin x))) (log1p (/ (sin (* 0.5 x)) (sin x))) (log (/ (sin (* 0.5 x)) (sin x))) (log (/ (sin (* 0.5 x)) (sin x))) (exp (/ (sin (* 0.5 x)) (sin x))) (pow (/ (sin (* 0.5 x)) (sin x)) 3) (* (cbrt (/ (sin (* 0.5 x)) (sin x))) (cbrt (/ (sin (* 0.5 x)) (sin x)))) (cbrt (/ (sin (* 0.5 x)) (sin x))) (pow (/ (sin (* 0.5 x)) (sin x)) 3) (sqrt (/ (sin (* 0.5 x)) (sin x))) (sqrt (/ (sin (* 0.5 x)) (sin x))) (- (sin (* 0.5 x))) (- (sin x)) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt (sin (* 0.5 x))) (cbrt (sin x))) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (sqrt (sin x))) (/ (cbrt (sin (* 0.5 x))) (sqrt (sin x))) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (/ (cbrt (sin (* 0.5 x))) (sin x)) (/ (sqrt (sin (* 0.5 x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (sin (* 0.5 x))) (cbrt (sin x))) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x))) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x))) (sqrt (sin (* 0.5 x))) (/ (sqrt (sin (* 0.5 x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sin (* 0.5 x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (sin (* 0.5 x)) (sqrt (sin x))) 1 (/ (sin (* 0.5 x)) (sin x)) (/ 1 (sin x)) (/ (sin x) (sin (* 0.5 x))) (/ (sin (* 0.5 x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sin (* 0.5 x)) (sqrt (sin x))) (sin (* 0.5 x)) (/ (sin x) (cbrt (sin (* 0.5 x)))) (/ (sin x) (sqrt (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 x))) (exp (/ (sin (* 0.5 x)) 3.0)) (expm1 (expm1 (/ (sin (* 0.5 x)) 3.0))) (/ (sin (* 0.5 x)) 3.0) (log (expm1 (/ (sin (* 0.5 x)) 3.0))) (exp (expm1 (/ (sin (* 0.5 x)) 3.0))) (* (cbrt (expm1 (/ (sin (* 0.5 x)) 3.0))) (cbrt (expm1 (/ (sin (* 0.5 x)) 3.0)))) (cbrt (expm1 (/ (sin (* 0.5 x)) 3.0))) (pow (expm1 (/ (sin (* 0.5 x)) 3.0)) 3) (sqrt (expm1 (/ (sin (* 0.5 x)) 3.0))) (sqrt (expm1 (/ (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 0.05555555555555555 (pow x 3) (fma 5.782411586589357e-19 (pow x 4) (* 0.6666666666666666 x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (fma 0.0625 (pow x 2) (fma 0.006510416666666666 (pow x 4) 0.5)) (/ (sin (* 0.5 x)) (sin x)) (/ (sin (* 0.5 x)) (sin x)) (fma (pow x 2) 0.013888888888888888 (- (* 0.16666666666666666 x) (* 0.006172839506172839 (pow x 3)))) (expm1 (* 0.3333333333333333 (sin (* 0.5 x)))) (expm1 (* 0.3333333333333333 (sin (* 0.5 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))) 2.160 * * * [progress]: adding candidates to table 2.431 * [progress]: [Phase 3 of 3] Extracting. 2.431 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 2.433 * * * [regime-changes]: Trying 1 branch expressions: (x) 2.433 * * * * [regimes]: Trying to branch on x from (# # # # # # # # #) 2.469 * * * [regime]: Found split indices: #