124.152 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.058 * * * [progress]: [2/2] Setting up program. 0.060 * [progress]: [Phase 2 of 3] Improving. 0.061 * [simplify]: Simplifying using # : (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x)) 0.063 * * [simplify]: iteration 0 : 20 enodes (cost 9 ) 0.064 * * [simplify]: iteration 1 : 43 enodes (cost 9 ) 0.066 * * [simplify]: iteration 2 : 93 enodes (cost 9 ) 0.068 * * [simplify]: iteration 3 : 174 enodes (cost 9 ) 0.071 * * [simplify]: iteration 4 : 269 enodes (cost 9 ) 0.074 * * [simplify]: iteration 5 : 288 enodes (cost 9 ) 0.077 * * [simplify]: iteration 6 : 288 enodes (cost 9 ) 0.077 * [simplify]: Simplified to: (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x)) 0.077 * * [progress]: iteration 1 / 4 0.077 * * * [progress]: picking best candidate 0.079 * * * * [pick]: Picked # 0.079 * * * [progress]: localizing error 0.094 * * * [progress]: generating rewritten candidates 0.094 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.114 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.124 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.146 * * * [progress]: generating series expansions 0.146 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.147 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in (x) around 0 0.147 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.147 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.147 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 0.147 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.147 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.147 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.147 * [taylor]: Taking taylor expansion of 0.5 in x 0.147 * [taylor]: Taking taylor expansion of x in x 0.150 * [taylor]: Taking taylor expansion of (sin x) in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.151 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.151 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.151 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 0.151 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.151 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.151 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.151 * [taylor]: Taking taylor expansion of 0.5 in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.154 * [taylor]: Taking taylor expansion of (sin x) in x 0.154 * [taylor]: Taking taylor expansion of x in x 0.195 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in (x) around 0 0.195 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 0.195 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.195 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 0.195 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) 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 0.196 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.196 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.196 * [taylor]: Taking taylor expansion of x in x 0.196 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 0.196 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.196 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 0.196 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.196 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.196 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.196 * [taylor]: Taking taylor expansion of 0.5 in x 0.196 * [taylor]: Taking taylor expansion of x in x 0.197 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.197 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.197 * [taylor]: Taking taylor expansion of x in x 0.210 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in (x) around 0 0.210 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.210 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.210 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 0.210 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.210 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.210 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.210 * [taylor]: Taking taylor expansion of -0.5 in x 0.210 * [taylor]: Taking taylor expansion of x in x 0.210 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.210 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.210 * [taylor]: Taking taylor expansion of -1 in x 0.210 * [taylor]: Taking taylor expansion of x in x 0.211 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.211 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.211 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 0.211 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.211 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.211 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.211 * [taylor]: Taking taylor expansion of -0.5 in x 0.211 * [taylor]: Taking taylor expansion of x in x 0.211 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.211 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.212 * [taylor]: Taking taylor expansion of -1 in x 0.212 * [taylor]: Taking taylor expansion of x in x 0.225 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.225 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in (x) around 0 0.225 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 0.225 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.225 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.225 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.225 * [taylor]: Taking taylor expansion of 0.5 in x 0.225 * [taylor]: Taking taylor expansion of x in x 0.227 * [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 0.247 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in (x) around 0 0.247 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 0.247 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.247 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.247 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.247 * [taylor]: Taking taylor expansion of 0.5 in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.248 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 0.248 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.248 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.248 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.248 * [taylor]: Taking taylor expansion of 0.5 in x 0.248 * [taylor]: Taking taylor expansion of x in x 0.254 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in (x) around 0 0.254 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 0.254 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.254 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.254 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.254 * [taylor]: Taking taylor expansion of -0.5 in x 0.254 * [taylor]: Taking taylor expansion of x in x 0.255 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 0.255 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.255 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.255 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.255 * [taylor]: Taking taylor expansion of -0.5 in x 0.255 * [taylor]: Taking taylor expansion of x in x 0.265 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.266 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (* 0.5 x)) 2)) in (x) around 0 0.266 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (* 0.5 x)) 2)) in x 0.266 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.266 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.266 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.266 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.266 * [taylor]: Taking taylor expansion of 0.5 in x 0.266 * [taylor]: Taking taylor expansion of x in x 0.269 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (* 0.5 x)) 2)) in x 0.269 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.269 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.269 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.269 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.269 * [taylor]: Taking taylor expansion of 0.5 in x 0.269 * [taylor]: Taking taylor expansion of x in x 0.296 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ 0.5 x)) 2)) in (x) around 0 0.296 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ 0.5 x)) 2)) in x 0.296 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.296 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.296 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.296 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.296 * [taylor]: Taking taylor expansion of 0.5 in x 0.296 * [taylor]: Taking taylor expansion of x in x 0.297 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ 0.5 x)) 2)) in x 0.297 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.297 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.297 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.297 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.297 * [taylor]: Taking taylor expansion of 0.5 in x 0.297 * [taylor]: Taking taylor expansion of x in x 0.307 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ -0.5 x)) 2)) in (x) around 0 0.308 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ -0.5 x)) 2)) in x 0.308 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.308 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.308 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.308 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.308 * [taylor]: Taking taylor expansion of -0.5 in x 0.308 * [taylor]: Taking taylor expansion of x in x 0.308 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ -0.5 x)) 2)) in x 0.308 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.308 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.308 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.308 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.308 * [taylor]: Taking taylor expansion of -0.5 in x 0.308 * [taylor]: Taking taylor expansion of x in x 0.318 * * * [progress]: simplifying candidates 0.320 * [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)) 0.327 * * [simplify]: iteration 0 : 412 enodes (cost 862 ) 0.335 * * [simplify]: iteration 1 : 2127 enodes (cost 656 ) 0.370 * * [simplify]: iteration 2 : 5001 enodes (cost 637 ) 0.374 * [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)) 0.374 * * * [progress]: adding candidates to table 0.578 * * [progress]: iteration 2 / 4 0.578 * * * [progress]: picking best candidate 0.607 * * * * [pick]: Picked # 0.607 * * * [progress]: localizing error 0.621 * * * [progress]: generating rewritten candidates 0.621 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.634 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.645 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.652 * * * [progress]: generating series expansions 0.652 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.653 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in (x) around 0 0.653 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 0.653 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.653 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.653 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.653 * [taylor]: Taking taylor expansion of 0.5 in x 0.653 * [taylor]: Taking taylor expansion of x in x 0.654 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 0.654 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.654 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.654 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.654 * [taylor]: Taking taylor expansion of 0.5 in x 0.654 * [taylor]: Taking taylor expansion of x in x 0.674 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in (x) around 0 0.675 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 0.675 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.675 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.675 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.675 * [taylor]: Taking taylor expansion of 0.5 in x 0.675 * [taylor]: Taking taylor expansion of x in x 0.675 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 0.675 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.675 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.675 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.675 * [taylor]: Taking taylor expansion of 0.5 in x 0.675 * [taylor]: Taking taylor expansion of x in x 0.681 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in (x) around 0 0.681 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 0.681 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.681 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.681 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.681 * [taylor]: Taking taylor expansion of -0.5 in x 0.681 * [taylor]: Taking taylor expansion of x in x 0.682 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 0.682 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.682 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.682 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.682 * [taylor]: Taking taylor expansion of -0.5 in x 0.682 * [taylor]: Taking taylor expansion of x in x 0.687 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.688 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in (x) around 0 0.688 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.688 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.688 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 0.688 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.688 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.688 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.688 * [taylor]: Taking taylor expansion of 0.5 in x 0.688 * [taylor]: Taking taylor expansion of x in x 0.691 * [taylor]: Taking taylor expansion of (sin x) in x 0.691 * [taylor]: Taking taylor expansion of x in x 0.691 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.692 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.692 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 0.692 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.692 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.692 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.692 * [taylor]: Taking taylor expansion of 0.5 in x 0.692 * [taylor]: Taking taylor expansion of x in x 0.694 * [taylor]: Taking taylor expansion of (sin x) in x 0.694 * [taylor]: Taking taylor expansion of x in x 0.734 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in (x) around 0 0.735 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 0.735 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.735 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 0.735 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.735 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.735 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.735 * [taylor]: Taking taylor expansion of 0.5 in x 0.735 * [taylor]: Taking taylor expansion of x in x 0.735 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.735 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.735 * [taylor]: Taking taylor expansion of x in x 0.736 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 0.736 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.736 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 0.736 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.736 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.736 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.736 * [taylor]: Taking taylor expansion of 0.5 in x 0.736 * [taylor]: Taking taylor expansion of x in x 0.736 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.736 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.736 * [taylor]: Taking taylor expansion of x in x 0.749 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in (x) around 0 0.749 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.749 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.750 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 0.750 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.750 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.750 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.750 * [taylor]: Taking taylor expansion of -0.5 in x 0.750 * [taylor]: Taking taylor expansion of x in x 0.750 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.750 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.750 * [taylor]: Taking taylor expansion of -1 in x 0.750 * [taylor]: Taking taylor expansion of x in x 0.750 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.751 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.751 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 0.751 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.751 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.751 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.751 * [taylor]: Taking taylor expansion of -0.5 in x 0.751 * [taylor]: Taking taylor expansion of x in x 0.751 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.751 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.751 * [taylor]: Taking taylor expansion of -1 in x 0.751 * [taylor]: Taking taylor expansion of x in x 0.764 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.764 * [approximate]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in (x) around 0 0.764 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 0.764 * [taylor]: Taking taylor expansion of (sin x) in x 0.764 * [taylor]: Taking taylor expansion of x in x 0.764 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.764 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.764 * [taylor]: Taking taylor expansion of 0.5 in x 0.764 * [taylor]: Taking taylor expansion of x in x 0.767 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 0.767 * [taylor]: Taking taylor expansion of (sin x) in x 0.767 * [taylor]: Taking taylor expansion of x in x 0.767 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.767 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.767 * [taylor]: Taking taylor expansion of 0.5 in x 0.767 * [taylor]: Taking taylor expansion of x in x 0.799 * [approximate]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in (x) around 0 0.799 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 0.799 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.799 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.799 * [taylor]: Taking taylor expansion of x in x 0.800 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.800 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.800 * [taylor]: Taking taylor expansion of 0.5 in x 0.800 * [taylor]: Taking taylor expansion of x in x 0.800 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 0.800 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.800 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.800 * [taylor]: Taking taylor expansion of x in x 0.800 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.801 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.801 * [taylor]: Taking taylor expansion of 0.5 in x 0.801 * [taylor]: Taking taylor expansion of x in x 0.803 * [approximate]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in (x) around 0 0.803 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 0.803 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.803 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.803 * [taylor]: Taking taylor expansion of -1 in x 0.803 * [taylor]: Taking taylor expansion of x in x 0.803 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.803 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.803 * [taylor]: Taking taylor expansion of -0.5 in x 0.803 * [taylor]: Taking taylor expansion of x in x 0.804 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 0.804 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.804 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.804 * [taylor]: Taking taylor expansion of -1 in x 0.804 * [taylor]: Taking taylor expansion of x in x 0.804 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.804 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.804 * [taylor]: Taking taylor expansion of -0.5 in x 0.804 * [taylor]: Taking taylor expansion of x in x 0.806 * * * [progress]: simplifying candidates 0.808 * [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 x) (sin (* 0.5 x))))) (log1p (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* 0.5 x))))) (- (+ (- (log 8.0) (log 3.0)) (log (sin (* x 0.5)))) (- (log (sin x)) (log (sin (* 0.5 x))))) (- (+ (- (log 8.0) (log 3.0)) (log (sin (* x 0.5)))) (log (/ (sin x) (sin (* 0.5 x))))) (- (+ (log (/ 8.0 3.0)) (log (sin (* x 0.5)))) (- (log (sin x)) (log (sin (* 0.5 x))))) (- (+ (log (/ 8.0 3.0)) (log (sin (* x 0.5)))) (log (/ (sin x) (sin (* 0.5 x))))) (- (log (* (/ 8.0 3.0) (sin (* x 0.5)))) (- (log (sin x)) (log (sin (* 0.5 x))))) (- (log (* (/ 8.0 3.0) 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(/ (sin x) (sin (* 0.5 x))) (/ 1 (sin (* 0.5 x))) (/ (sin (* 0.5 x)) (sin x)) (/ (sin x) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (sin x) (sqrt (sin (* 0.5 x)))) (/ (sin x) 1) (/ (sin (* 0.5 x)) (cbrt (sin x))) (/ (sin (* 0.5 x)) (sqrt (sin x))) (/ (sin (* 0.5 x)) (sin x)) (- (+ (* 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))) (- (+ (* 0.005208333333333334 (pow x 4)) 2.0) (* 0.25 (pow x 2))) (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x))) 0.816 * * [simplify]: iteration 0 : 550 enodes (cost 1204 ) 0.825 * * [simplify]: iteration 1 : 2727 enodes (cost 1016 ) 0.865 * * [simplify]: iteration 2 : 5001 enodes (cost 992 ) 0.869 * 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x))))) (/ (cbrt (sin x)) (cbrt (sin (* 0.5 x)))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (sin (* 0.5 x)))) (/ (cbrt (sin x)) (sqrt (sin (* 0.5 x)))) (* (cbrt (sin x)) (cbrt (sin x))) (/ (cbrt (sin x)) (sin (* 0.5 x))) (/ (sqrt (sin x)) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (sqrt (sin x)) (cbrt (sin (* 0.5 x)))) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (sqrt (sin x)) (/ (sqrt (sin x)) (sin (* x 0.5))) (/ 1 (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (sin x) (cbrt (sin (* 0.5 x)))) (/ 1 (sqrt (sin (* 0.5 x)))) (/ (sin x) (sqrt (sin (* 0.5 x)))) 1 (/ (sin x) (sin (* x 0.5))) (/ 1 (sin (* x 0.5))) (/ (sin (* x 0.5)) (sin x)) (/ (sin x) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (sin x) (sqrt (sin (* 0.5 x)))) (sin x) (/ (sin (* x 0.5)) (cbrt (sin x))) (/ (sin (* x 0.5)) (sqrt (sin x))) (/ (sin (* x 0.5)) (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 0.05555555555555555 (pow x 3) (fma 0.005555555555555554 (pow x 5) (* 0.6666666666666666 x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (fma (pow x 4) 0.005208333333333334 (- 2.0 (* 0.25 (pow x 2)))) (/ (sin x) (sin (* x 0.5))) (/ (sin x) (sin (* x 0.5))) 0.870 * * * [progress]: adding candidates to table 1.171 * * [progress]: iteration 3 / 4 1.171 * * * [progress]: picking best candidate 1.197 * * * * [pick]: Picked # 1.197 * * * [progress]: localizing error 1.215 * * * [progress]: generating rewritten candidates 1.215 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 1.224 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 1.228 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 1.240 * * * [progress]: generating series expansions 1.240 * * * * [progress]: [ 1 / 3 ] generating series at (2) 1.240 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in (x) around 0 1.240 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 1.240 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.241 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 1.241 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 1.241 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.241 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.241 * [taylor]: Taking taylor expansion of 0.5 in x 1.241 * [taylor]: Taking taylor expansion of x in x 1.244 * [taylor]: Taking taylor expansion of (sin x) in x 1.244 * [taylor]: Taking taylor expansion of x in x 1.245 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 1.245 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.245 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 1.245 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) 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 1.247 * [taylor]: Taking taylor expansion of (sin x) in x 1.247 * [taylor]: Taking taylor expansion of x in x 1.283 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in (x) around 0 1.283 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 1.283 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.283 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 1.283 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 1.283 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.283 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.283 * [taylor]: Taking taylor expansion of 0.5 in x 1.283 * [taylor]: Taking taylor expansion of x in x 1.284 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.284 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.284 * [taylor]: Taking taylor expansion of x in x 1.284 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 1.284 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.284 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 1.284 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 1.284 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.284 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.284 * [taylor]: Taking taylor expansion of 0.5 in x 1.284 * [taylor]: Taking taylor expansion of x in x 1.285 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.285 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.285 * [taylor]: Taking taylor expansion of x in x 1.304 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in (x) around 0 1.304 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 1.304 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.304 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 1.304 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 1.304 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.304 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.304 * [taylor]: Taking taylor expansion of -0.5 in x 1.304 * [taylor]: Taking taylor expansion of x in x 1.304 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.304 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.304 * [taylor]: Taking taylor expansion of -1 in x 1.304 * [taylor]: Taking taylor expansion of x in x 1.305 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 1.305 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.305 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 1.305 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 1.305 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.305 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.305 * [taylor]: Taking taylor expansion of -0.5 in x 1.305 * [taylor]: Taking taylor expansion of x in x 1.305 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.305 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.305 * [taylor]: Taking taylor expansion of -1 in x 1.305 * [taylor]: Taking taylor expansion of x in x 1.318 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 1.319 * [approximate]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in (x) around 0 1.319 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 1.319 * [taylor]: Taking taylor expansion of (sin x) in x 1.319 * [taylor]: Taking taylor expansion of x in x 1.319 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.319 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.319 * [taylor]: Taking taylor expansion of 0.5 in x 1.319 * [taylor]: Taking taylor expansion of x in x 1.322 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 1.322 * [taylor]: Taking taylor expansion of (sin x) in x 1.322 * [taylor]: Taking taylor expansion of x in x 1.322 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.322 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.322 * [taylor]: Taking taylor expansion of 0.5 in x 1.322 * [taylor]: Taking taylor expansion of x in x 1.349 * [approximate]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in (x) around 0 1.349 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 1.349 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.349 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.349 * [taylor]: Taking taylor expansion of x in x 1.349 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.349 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.349 * [taylor]: Taking taylor expansion of 0.5 in x 1.350 * [taylor]: Taking taylor expansion of x in x 1.350 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 1.350 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.350 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.350 * [taylor]: Taking taylor expansion of x in x 1.350 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.350 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.350 * [taylor]: Taking taylor expansion of 0.5 in x 1.350 * [taylor]: Taking taylor expansion of x in x 1.353 * [approximate]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in (x) around 0 1.353 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 1.353 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.353 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.353 * [taylor]: Taking taylor expansion of -1 in x 1.353 * [taylor]: Taking taylor expansion of x in x 1.353 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.353 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.353 * [taylor]: Taking taylor expansion of -0.5 in x 1.353 * [taylor]: Taking taylor expansion of x in x 1.354 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 1.354 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.354 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.354 * [taylor]: Taking taylor expansion of -1 in x 1.354 * [taylor]: Taking taylor expansion of x in x 1.354 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.354 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.354 * [taylor]: Taking taylor expansion of -0.5 in x 1.354 * [taylor]: Taking taylor expansion of x in x 1.356 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 1.356 * [approximate]: Taking taylor expansion of (* 3.0 (/ (sin x) (sin (* 0.5 x)))) in (x) around 0 1.356 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sin x) (sin (* 0.5 x)))) in x 1.356 * [taylor]: Taking taylor expansion of 3.0 in x 1.356 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 1.356 * [taylor]: Taking taylor expansion of (sin x) in x 1.356 * [taylor]: Taking taylor expansion of x in x 1.356 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.356 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.357 * [taylor]: Taking taylor expansion of 0.5 in x 1.357 * [taylor]: Taking taylor expansion of x in x 1.360 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sin x) (sin (* 0.5 x)))) in x 1.360 * [taylor]: Taking taylor expansion of 3.0 in x 1.360 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 1.360 * [taylor]: Taking taylor expansion of (sin x) in x 1.360 * [taylor]: Taking taylor expansion of x in x 1.360 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.360 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.360 * [taylor]: Taking taylor expansion of 0.5 in x 1.360 * [taylor]: Taking taylor expansion of x in x 1.396 * [approximate]: Taking taylor expansion of (* 3.0 (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) in (x) around 0 1.397 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) in x 1.397 * [taylor]: Taking taylor expansion of 3.0 in x 1.397 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 1.397 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.397 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.397 * [taylor]: Taking taylor expansion of x in x 1.397 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.397 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.397 * [taylor]: Taking taylor expansion of 0.5 in x 1.397 * [taylor]: Taking taylor expansion of x in x 1.397 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) in x 1.397 * [taylor]: Taking taylor expansion of 3.0 in x 1.397 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 1.397 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.397 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.397 * [taylor]: Taking taylor expansion of x in x 1.398 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.398 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.398 * [taylor]: Taking taylor expansion of 0.5 in x 1.398 * [taylor]: Taking taylor expansion of x in x 1.406 * [approximate]: Taking taylor expansion of (* 3.0 (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) in (x) around 0 1.406 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) in x 1.406 * [taylor]: Taking taylor expansion of 3.0 in x 1.406 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 1.406 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.406 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.406 * [taylor]: Taking taylor expansion of -1 in x 1.406 * [taylor]: Taking taylor expansion of x in x 1.406 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.406 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.406 * [taylor]: Taking taylor expansion of -0.5 in x 1.406 * [taylor]: Taking taylor expansion of x in x 1.407 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) in x 1.407 * [taylor]: Taking taylor expansion of 3.0 in x 1.407 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 1.407 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.407 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.407 * [taylor]: Taking taylor expansion of -1 in x 1.407 * [taylor]: Taking taylor expansion of x in x 1.407 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.407 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.407 * [taylor]: Taking taylor expansion of -0.5 in x 1.407 * [taylor]: Taking taylor expansion of x in x 1.415 * * * [progress]: simplifying candidates 1.417 * [simplify]: Simplifying using # : (expm1 (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (log1p (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (- (+ (log 8.0) (log (sin (* x 0.5)))) (+ (- (log (sin x)) (log (sin (* 0.5 x)))) (log 3.0))) (- (+ (log 8.0) (log (sin (* x 0.5)))) (+ (log (/ (sin x) (sin (* 0.5 x)))) (log 3.0))) (- (+ (log 8.0) (log (sin (* x 0.5)))) (log (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (- (log (* 8.0 (sin (* x 0.5)))) (+ (- (log (sin x)) (log (sin (* 0.5 x)))) (log 3.0))) (- (log (* 8.0 (sin (* x 0.5)))) (+ (log (/ (sin x) (sin (* 0.5 x)))) (log 3.0))) (- (log (* 8.0 (sin (* x 0.5)))) (log (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (log (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (exp (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (/ (* (* (* 8.0 8.0) 8.0) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (/ (* (* (sin x) (sin x)) (sin x)) (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x)))) (* (* 3.0 3.0) 3.0))) (/ (* (* (* 8.0 8.0) 8.0) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* (* (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 x)))) (* (* 3.0 3.0) 3.0))) (/ (* (* (* 8.0 8.0) 8.0) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* (* (/ (sin x) (sin (* 0.5 x))) 3.0) (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (/ (* (* (* 8.0 (sin (* x 0.5))) (* 8.0 (sin (* x 0.5)))) (* 8.0 (sin (* x 0.5)))) (* (/ (* (* (sin x) (sin x)) (sin x)) (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x)))) (* (* 3.0 3.0) 3.0))) (/ (* (* (* 8.0 (sin (* x 0.5))) (* 8.0 (sin (* x 0.5)))) (* 8.0 (sin (* x 0.5)))) (* (* (* (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 x)))) (* (* 3.0 3.0) 3.0))) (/ (* (* (* 8.0 (sin (* x 0.5))) (* 8.0 (sin (* x 0.5)))) (* 8.0 (sin (* x 0.5)))) (* (* (* (/ (sin x) (sin (* 0.5 x))) 3.0) (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (* (cbrt (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (cbrt (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0)))) (cbrt (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (* (* (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (sqrt (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (sqrt (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (- (* 8.0 (sin (* x 0.5)))) (- (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (/ 8.0 (/ (sin x) (sin (* 0.5 x)))) (/ (sin (* x 0.5)) 3.0) (/ 1 (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (/ (* (/ (sin x) (sin (* 0.5 x))) 3.0) (* 8.0 (sin (* x 0.5)))) (/ (* 8.0 (sin (* x 0.5))) (/ (sin x) (sin (* 0.5 x)))) (/ (* (/ (sin x) (sin (* 0.5 x))) 3.0) (sin (* x 0.5))) (/ (* 8.0 (sin (* x 0.5))) (* (sin x) 3.0)) (expm1 (/ (sin x) (sin (* 0.5 x)))) (log1p (/ (sin x) (sin (* 0.5 x)))) (- (log (sin x)) (log (sin (* 0.5 x)))) (log (/ (sin x) (sin (* 0.5 x)))) (exp (/ (sin x) (sin (* 0.5 x)))) (/ (* (* (sin x) (sin x)) (sin x)) (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x)))) (* (cbrt (/ (sin x) (sin (* 0.5 x)))) (cbrt (/ (sin x) (sin (* 0.5 x))))) (cbrt (/ (sin x) (sin (* 0.5 x)))) (* (* (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 x)))) (sqrt (/ (sin x) (sin (* 0.5 x)))) (sqrt (/ (sin x) (sin (* 0.5 x)))) (- (sin x)) (- (sin (* 0.5 x))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (cbrt (sin x)) (cbrt (sin (* 0.5 x)))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (sin (* 0.5 x)))) (/ (cbrt (sin x)) (sqrt (sin (* 0.5 x)))) (/ (* (cbrt (sin x)) (cbrt (sin x))) 1) (/ (cbrt (sin x)) (sin (* 0.5 x))) (/ (sqrt (sin x)) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (sqrt (sin x)) (cbrt (sin (* 0.5 x)))) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (/ (sqrt (sin x)) 1) (/ (sqrt (sin x)) (sin (* 0.5 x))) (/ 1 (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (sin x) (cbrt (sin (* 0.5 x)))) (/ 1 (sqrt (sin (* 0.5 x)))) (/ (sin x) (sqrt (sin (* 0.5 x)))) (/ 1 1) (/ (sin x) (sin (* 0.5 x))) (/ 1 (sin (* 0.5 x))) (/ (sin (* 0.5 x)) (sin x)) (/ (sin x) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (sin x) (sqrt (sin (* 0.5 x)))) (/ (sin x) 1) (/ (sin (* 0.5 x)) (cbrt (sin x))) (/ (sin (* 0.5 x)) (sqrt (sin x))) (/ (sin (* 0.5 x)) (sin x)) (expm1 (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (log1p (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (* (/ (sin x) (sin (* 0.5 x))) 3.0) (+ (- (log (sin x)) (log (sin (* 0.5 x)))) (log 3.0)) (+ (log (/ (sin x) (sin (* 0.5 x)))) (log 3.0)) (log (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (exp (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (* (/ (* (* (sin x) (sin x)) (sin x)) (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x)))) (* (* 3.0 3.0) 3.0)) (* (* (* (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 x)))) (* (* 3.0 3.0) 3.0)) (* (cbrt (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (cbrt (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (cbrt (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (* (* (* (/ (sin x) (sin (* 0.5 x))) 3.0) (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (sqrt (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (sqrt (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (* (sqrt (/ (sin x) (sin (* 0.5 x)))) (sqrt 3.0)) (* (sqrt (/ (sin x) (sin (* 0.5 x)))) (sqrt 3.0)) (* (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (sqrt 3.0)) (* (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (sqrt 3.0)) (* (/ (sin x) (sin (* 0.5 x))) (* (cbrt 3.0) (cbrt 3.0))) (* (/ (sin x) (sin (* 0.5 x))) (sqrt 3.0)) (* (/ (sin x) (sin (* 0.5 x))) 1) (* (cbrt (/ (sin x) (sin (* 0.5 x)))) 3.0) (* (sqrt (/ (sin x) (sin (* 0.5 x)))) 3.0) (* (/ (cbrt (sin x)) (cbrt (sin (* 0.5 x)))) 3.0) (* (/ (cbrt (sin x)) (sqrt (sin (* 0.5 x)))) 3.0) (* (/ (cbrt (sin x)) (sin (* 0.5 x))) 3.0) (* (/ (sqrt (sin x)) (cbrt (sin (* 0.5 x)))) 3.0) (* (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) 3.0) (* (/ (sqrt (sin x)) (sin (* 0.5 x))) 3.0) (* (/ (sin x) (cbrt (sin (* 0.5 x)))) 3.0) (* (/ (sin x) (sqrt (sin (* 0.5 x)))) 3.0) (* (/ (sin x) (sin (* 0.5 x))) 3.0) (* (/ (sin x) (sin (* 0.5 x))) 3.0) (* (/ 1 (sin (* 0.5 x))) 3.0) (* (sin x) 3.0) (+ (* 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))) (- (+ (* 0.005208333333333334 (pow x 4)) 2.0) (* 0.25 (pow x 2))) (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x))) (- (+ (* 0.015625 (pow x 4)) 6.0) (* 0.75 (pow x 2))) (* 3.0 (/ (sin x) (sin (* 0.5 x)))) (* 3.0 (/ (sin x) (sin (* 0.5 x)))) 1.423 * * [simplify]: iteration 0 : 433 enodes (cost 924 ) 1.432 * * [simplify]: iteration 1 : 2247 enodes (cost 743 ) 1.465 * * [simplify]: iteration 2 : 5001 enodes (cost 724 ) 1.469 * [simplify]: Simplified to: (expm1 (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (log1p (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (+ (log (/ (pow (sin (* 0.5 x)) 2) (sin x))) (log (/ 8.0 3.0))) (+ (log (/ (pow (sin (* 0.5 x)) 2) (sin x))) (log (/ 8.0 3.0))) (+ (log (/ (pow (sin (* 0.5 x)) 2) (sin x))) (log (/ 8.0 3.0))) (+ (log (/ (pow (sin (* 0.5 x)) 2) (sin x))) (log (/ 8.0 3.0))) (+ (log (/ (pow (sin (* 0.5 x)) 2) (sin x))) (log (/ 8.0 3.0))) (+ (log (/ (pow (sin (* 0.5 x)) 2) (sin x))) (log (/ 8.0 3.0))) (+ (log (/ (pow (sin (* 0.5 x)) 2) (sin x))) (log (/ 8.0 3.0))) (pow (exp (/ (pow (sin (* 0.5 x)) 2) (sin x))) (/ 8.0 3.0)) (* (pow (/ (pow (sin (* 0.5 x)) 2) (sin x)) 3) (pow (/ 8.0 3.0) 3)) (* (pow (/ (pow (sin (* 0.5 x)) 2) (sin x)) 3) (pow (/ 8.0 3.0) 3)) (* (pow (/ (pow (sin (* 0.5 x)) 2) (sin x)) 3) (pow (/ 8.0 3.0) 3)) (* (pow (/ (pow (sin (* 0.5 x)) 2) (sin x)) 3) (pow (/ 8.0 3.0) 3)) (* (pow (/ (pow (sin (* 0.5 x)) 2) (sin x)) 3) (pow (/ 8.0 3.0) 3)) (* (pow (/ (pow (sin (* 0.5 x)) 2) (sin x)) 3) (pow (/ 8.0 3.0) 3)) (* (cbrt (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (cbrt (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0)))) (cbrt (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (* (pow (/ (pow (sin (* 0.5 x)) 2) (sin x)) 3) (pow (/ 8.0 3.0) 3)) (sqrt (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (sqrt (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (- (* 8.0 (sin (* x 0.5)))) (- (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (/ 8.0 (/ (sin x) (sin (* 0.5 x)))) (/ (sin (* 0.5 x)) 3.0) (/ 1 (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (* (/ 3.0 8.0) (/ (sin x) (pow (sin (* 0.5 x)) 2))) (* (/ (pow (sin (* 0.5 x)) 2) (sin x)) (/ 8.0 1)) (/ (* (sin x) 3.0) (pow (sin (* 0.5 x)) 2)) (/ (* 8.0 (sin (* x 0.5))) (* (sin x) 3.0)) (expm1 (/ (sin x) (sin (* 0.5 x)))) (log1p (/ (sin x) (sin (* 0.5 x)))) (log (/ (sin x) (sin (* 0.5 x)))) (log (/ (sin x) (sin (* 0.5 x)))) (exp (/ (sin x) (sin (* 0.5 x)))) (pow (/ (sin x) (sin (* 0.5 x))) 3) (* (cbrt (/ (sin x) (sin (* 0.5 x)))) (cbrt (/ (sin x) (sin (* 0.5 x))))) (cbrt (/ (sin x) (sin (* 0.5 x)))) (pow (/ (sin x) (sin (* 0.5 x))) 3) (sqrt (/ (sin x) (sin (* 0.5 x)))) (sqrt (/ (sin x) (sin (* 0.5 x)))) (- (sin x)) (- (sin (* x 0.5))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (cbrt (sin x)) (cbrt (sin (* 0.5 x)))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (sin (* 0.5 x)))) (/ (cbrt (sin x)) (sqrt (sin (* 0.5 x)))) (* (cbrt (sin x)) (cbrt (sin x))) (/ (cbrt (sin x)) (sin (* 0.5 x))) (/ (sqrt (sin x)) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (sqrt (sin x)) (cbrt (sin (* 0.5 x)))) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (sqrt (sin x)) (/ (sqrt (sin x)) (sin (* 0.5 x))) (/ 1 (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (sin x) (cbrt (sin (* 0.5 x)))) (/ 1 (sqrt (sin (* 0.5 x)))) (/ (sin x) (sqrt (sin (* 0.5 x)))) 1 (/ (sin x) (sin (* 0.5 x))) (/ 1 (sin (* 0.5 x))) (/ (sin (* 0.5 x)) (sin x)) (/ (sin x) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (sin x) (sqrt (sin (* 0.5 x)))) (sin x) (/ (sin (* 0.5 x)) (cbrt (sin x))) (/ (sin (* 0.5 x)) (sqrt (sin x))) (/ (sin (* 0.5 x)) (sin x)) (expm1 (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (log1p (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (* (/ (sin x) (sin (* 0.5 x))) 3.0) (log (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (log (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (log (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (exp (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (pow (* (/ (sin x) (sin (* 0.5 x))) 3.0) 3) (pow (* (/ (sin x) (sin (* 0.5 x))) 3.0) 3) (* (cbrt (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (cbrt (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (cbrt (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (pow (* (/ (sin x) (sin (* 0.5 x))) 3.0) 3) (sqrt (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (sqrt (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (* (sqrt (/ (sin x) (sin (* 0.5 x)))) (sqrt 3.0)) (* (sqrt (/ (sin x) (sin (* 0.5 x)))) (sqrt 3.0)) (* (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (sqrt 3.0)) (* (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (sqrt 3.0)) (* (/ (sin x) (sin (* 0.5 x))) (* (cbrt 3.0) (cbrt 3.0))) (* (/ (sin x) (sin (* 0.5 x))) (sqrt 3.0)) (/ (sin x) (sin (* 0.5 x))) (* (cbrt (/ (sin x) (sin (* 0.5 x)))) 3.0) (* (sqrt (/ (sin x) (sin (* 0.5 x)))) 3.0) (* (/ (cbrt (sin x)) (cbrt (sin (* 0.5 x)))) 3.0) (* (/ (cbrt (sin x)) (sqrt (sin (* 0.5 x)))) 3.0) (* (/ (cbrt (sin x)) (sin (* 0.5 x))) 3.0) (* (/ (sqrt (sin x)) (cbrt (sin (* 0.5 x)))) 3.0) (* (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) 3.0) (* (/ (sqrt (sin x)) (sin (* 0.5 x))) 3.0) (* (/ (sin x) (cbrt (sin (* 0.5 x)))) 3.0) (* (/ (sin x) (sqrt (sin (* 0.5 x)))) 3.0) (* (/ (sin x) (sin (* 0.5 x))) 3.0) (* (/ (sin x) (sin (* 0.5 x))) 3.0) (/ 3.0 (sin (* x 0.5))) (* (sin x) 3.0) (fma 0.05555555555555555 (pow x 3) (fma 0.005555555555555554 (pow x 5) (* 0.6666666666666666 x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (fma (pow x 4) 0.005208333333333334 (- 2.0 (* 0.25 (pow x 2)))) (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x))) (fma (pow x 4) 0.015625 (- 6.0 (* 0.75 (pow x 2)))) (* (/ (sin x) (sin (* 0.5 x))) 3.0) (* (/ (sin x) (sin (* 0.5 x))) 3.0) 1.469 * * * [progress]: adding candidates to table 1.749 * * [progress]: iteration 4 / 4 1.749 * * * [progress]: picking best candidate 1.775 * * * * [pick]: Picked # 1.775 * * * [progress]: localizing error 1.786 * * * [progress]: generating rewritten candidates 1.786 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.816 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 1.819 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.825 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.840 * * * [progress]: generating series expansions 1.841 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.841 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in (x) around 0 1.841 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 1.841 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.841 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 1.841 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 1.841 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.841 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.841 * [taylor]: Taking taylor expansion of 0.5 in x 1.841 * [taylor]: Taking taylor expansion of x in x 1.844 * [taylor]: Taking taylor expansion of (sin x) in x 1.844 * [taylor]: Taking taylor expansion of x in x 1.845 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 1.845 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.845 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 1.845 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 1.845 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.845 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.845 * [taylor]: Taking taylor expansion of 0.5 in x 1.845 * [taylor]: Taking taylor expansion of x in x 1.848 * [taylor]: Taking taylor expansion of (sin x) in x 1.848 * [taylor]: Taking taylor expansion of x in x 1.883 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in (x) around 0 1.883 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 1.883 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.883 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 1.883 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 1.883 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.883 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.883 * [taylor]: Taking taylor expansion of 0.5 in x 1.883 * [taylor]: Taking taylor expansion of x in x 1.884 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.884 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.884 * [taylor]: Taking taylor expansion of x in x 1.884 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 1.884 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.884 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 1.884 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 1.884 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.884 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.884 * [taylor]: Taking taylor expansion of 0.5 in x 1.884 * [taylor]: Taking taylor expansion of x in x 1.885 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.885 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.885 * [taylor]: Taking taylor expansion of x in x 1.898 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in (x) around 0 1.898 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 1.898 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.898 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 1.898 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 1.898 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.898 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.898 * [taylor]: Taking taylor expansion of -0.5 in x 1.898 * [taylor]: Taking taylor expansion of x in x 1.898 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.898 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.898 * [taylor]: Taking taylor expansion of -1 in x 1.898 * [taylor]: Taking taylor expansion of x in x 1.899 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 1.899 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.899 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 1.899 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) 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 1.899 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.899 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.899 * [taylor]: Taking taylor expansion of -1 in x 1.899 * [taylor]: Taking taylor expansion of x in x 1.912 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 1.912 * [approximate]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in (x) around 0 1.912 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 1.912 * [taylor]: Taking taylor expansion of (sin x) in x 1.912 * [taylor]: Taking taylor expansion of x in x 1.912 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.912 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.912 * [taylor]: Taking taylor expansion of 0.5 in x 1.912 * [taylor]: Taking taylor expansion of x in x 1.915 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 1.915 * [taylor]: Taking taylor expansion of (sin x) in x 1.915 * [taylor]: Taking taylor expansion of x in x 1.915 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.916 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.916 * [taylor]: Taking taylor expansion of 0.5 in x 1.916 * [taylor]: Taking taylor expansion of x in x 1.948 * [approximate]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in (x) around 0 1.948 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 1.948 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.948 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.948 * [taylor]: Taking taylor expansion of x in x 1.948 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.948 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.948 * [taylor]: Taking taylor expansion of 0.5 in x 1.948 * [taylor]: Taking taylor expansion of x in x 1.949 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 1.949 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.949 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.949 * [taylor]: Taking taylor expansion of x in x 1.949 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.949 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.949 * [taylor]: Taking taylor expansion of 0.5 in x 1.949 * [taylor]: Taking taylor expansion of x in x 1.951 * [approximate]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in (x) around 0 1.952 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 1.952 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.952 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.952 * [taylor]: Taking taylor expansion of -1 in x 1.952 * [taylor]: Taking taylor expansion of x in x 1.952 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.952 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.952 * [taylor]: Taking taylor expansion of -0.5 in x 1.952 * [taylor]: Taking taylor expansion of x in x 1.952 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 1.952 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.952 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.952 * [taylor]: Taking taylor expansion of -1 in x 1.952 * [taylor]: Taking taylor expansion of x in x 1.953 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.953 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.953 * [taylor]: Taking taylor expansion of -0.5 in x 1.953 * [taylor]: Taking taylor expansion of x in x 1.955 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.955 * [approximate]: Taking taylor expansion of (* 8.0 (/ (sin (* 0.5 x)) (sin x))) in (x) around 0 1.955 * [taylor]: Taking taylor expansion of (* 8.0 (/ (sin (* 0.5 x)) (sin x))) in x 1.955 * [taylor]: Taking taylor expansion of 8.0 in x 1.955 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 x)) (sin x)) in x 1.955 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.955 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.955 * [taylor]: Taking taylor expansion of 0.5 in x 1.955 * [taylor]: Taking taylor expansion of x in x 1.956 * [taylor]: Taking taylor expansion of (sin x) in x 1.956 * [taylor]: Taking taylor expansion of x in x 1.959 * [taylor]: Taking taylor expansion of (* 8.0 (/ (sin (* 0.5 x)) (sin x))) in x 1.959 * [taylor]: Taking taylor expansion of 8.0 in x 1.959 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 x)) (sin x)) in x 1.959 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.959 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.959 * [taylor]: Taking taylor expansion of 0.5 in x 1.959 * [taylor]: Taking taylor expansion of x in x 1.960 * [taylor]: Taking taylor expansion of (sin x) in x 1.960 * [taylor]: Taking taylor expansion of x in x 1.988 * [approximate]: Taking taylor expansion of (* 8.0 (/ (sin (/ 0.5 x)) (sin (/ 1 x)))) in (x) around 0 1.989 * [taylor]: Taking taylor expansion of (* 8.0 (/ (sin (/ 0.5 x)) (sin (/ 1 x)))) in x 1.989 * [taylor]: Taking taylor expansion of 8.0 in x 1.989 * [taylor]: Taking taylor expansion of (/ (sin (/ 0.5 x)) (sin (/ 1 x))) in x 1.989 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.989 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.989 * [taylor]: Taking taylor expansion of 0.5 in x 1.989 * [taylor]: Taking taylor expansion of x in x 1.989 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.989 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.989 * [taylor]: Taking taylor expansion of x in x 1.989 * [taylor]: Taking taylor expansion of (* 8.0 (/ (sin (/ 0.5 x)) (sin (/ 1 x)))) in x 1.989 * [taylor]: Taking taylor expansion of 8.0 in x 1.989 * [taylor]: Taking taylor expansion of (/ (sin (/ 0.5 x)) (sin (/ 1 x))) in x 1.989 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.989 * [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 x in x 2.003 * [approximate]: Taking taylor expansion of (* 8.0 (/ (sin (/ -0.5 x)) (sin (/ -1 x)))) in (x) around 0 2.003 * [taylor]: Taking taylor expansion of (* 8.0 (/ (sin (/ -0.5 x)) (sin (/ -1 x)))) in x 2.003 * [taylor]: Taking taylor expansion of 8.0 in x 2.003 * [taylor]: Taking taylor expansion of (/ (sin (/ -0.5 x)) (sin (/ -1 x))) in x 2.003 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.003 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.003 * [taylor]: Taking taylor expansion of -0.5 in x 2.003 * [taylor]: Taking taylor expansion of x in x 2.003 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.003 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.003 * [taylor]: Taking taylor expansion of -1 in x 2.003 * [taylor]: Taking taylor expansion of x in x 2.004 * [taylor]: Taking taylor expansion of (* 8.0 (/ (sin (/ -0.5 x)) (sin (/ -1 x)))) in x 2.004 * [taylor]: Taking taylor expansion of 8.0 in x 2.004 * [taylor]: Taking taylor expansion of (/ (sin (/ -0.5 x)) (sin (/ -1 x))) in x 2.004 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.004 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.004 * [taylor]: Taking taylor expansion of -0.5 in x 2.004 * [taylor]: Taking taylor expansion of x in x 2.004 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.004 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.004 * [taylor]: Taking taylor expansion of -1 in x 2.004 * [taylor]: Taking taylor expansion of x in x 2.012 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 2.012 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (sin (* 0.5 x))) in (x) around 0 2.012 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (* 0.5 x))) in x 2.012 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.012 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 2.012 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 2.012 * [taylor]: Taking taylor expansion of 0.5 in x 2.012 * [taylor]: Taking taylor expansion of x in x 2.013 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (* 0.5 x))) in x 2.013 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.013 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 2.013 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 2.013 * [taylor]: Taking taylor expansion of 0.5 in x 2.014 * [taylor]: Taking taylor expansion of x in x 2.033 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ 0.5 x))) in (x) around 0 2.034 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ 0.5 x))) in x 2.034 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.034 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.034 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.034 * [taylor]: Taking taylor expansion of 0.5 in x 2.034 * [taylor]: Taking taylor expansion of x in x 2.034 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ 0.5 x))) in x 2.034 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.034 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.034 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.034 * [taylor]: Taking taylor expansion of 0.5 in x 2.034 * [taylor]: Taking taylor expansion of x in x 2.040 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ -0.5 x))) in (x) around 0 2.040 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ -0.5 x))) in x 2.040 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.040 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.040 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.040 * [taylor]: Taking taylor expansion of -0.5 in x 2.040 * [taylor]: Taking taylor expansion of x in x 2.040 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ -0.5 x))) in x 2.040 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.040 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.040 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.040 * [taylor]: Taking taylor expansion of -0.5 in x 2.040 * [taylor]: Taking taylor expansion of x in x 2.046 * * * [progress]: simplifying candidates 2.049 * [simplify]: Simplifying using # : (expm1 (* (/ 8.0 (/ (sin x) (sin (* 0.5 x)))) (/ (sin (* 0.5 x)) 3.0))) (log1p (* (/ 8.0 (/ (sin x) (sin (* 0.5 x)))) (/ (sin (* 0.5 x)) 3.0))) (* (/ 8.0 (/ (sin x) (sin (* 0.5 x)))) (/ (sin (* 0.5 x)) 3.0)) (+ (- (log 8.0) (- (log (sin x)) (log (sin (* 0.5 x))))) (- (log (sin (* 0.5 x))) (log 3.0))) (+ (- (log 8.0) (- (log (sin x)) (log (sin (* 0.5 x))))) (log (/ (sin (* 0.5 x)) 3.0))) (+ (- (log 8.0) (log (/ (sin x) (sin (* 0.5 x))))) (- (log (sin (* 0.5 x))) (log 3.0))) (+ (- (log 8.0) (log (/ (sin x) (sin (* 0.5 x))))) (log (/ (sin (* 0.5 x)) 3.0))) (+ (log (/ 8.0 (/ (sin x) (sin (* 0.5 x))))) (- (log (sin (* 0.5 x))) (log 3.0))) (+ (log (/ 8.0 (/ (sin x) (sin (* 0.5 x))))) (log (/ (sin (* 0.5 x)) 3.0))) (log (* (/ 8.0 (/ (sin x) (sin (* 0.5 x)))) (/ (sin (* 0.5 x)) 3.0))) (exp (* (/ 8.0 (/ (sin x) (sin (* 0.5 x)))) (/ (sin (* 0.5 x)) 3.0))) (* (/ (* (* 8.0 8.0) 8.0) (/ (* (* (sin x) (sin x)) (sin x)) (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x))))) (/ (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x))) (* (* 3.0 3.0) 3.0))) (* (/ (* (* 8.0 8.0) 8.0) (/ (* (* (sin x) (sin x)) (sin x)) (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x))))) (* (* (/ (sin (* 0.5 x)) 3.0) (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) 3.0))) (* (/ (* (* 8.0 8.0) 8.0) (* (* (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 x))))) (/ (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x))) (* (* 3.0 3.0) 3.0))) (* (/ (* (* 8.0 8.0) 8.0) (* (* (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 x))))) (* (* (/ (sin (* 0.5 x)) 3.0) (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) 3.0))) (* (* (* (/ 8.0 (/ (sin x) (sin (* 0.5 x)))) (/ 8.0 (/ (sin x) (sin (* 0.5 x))))) (/ 8.0 (/ (sin x) (sin (* 0.5 x))))) (/ (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x))) (* (* 3.0 3.0) 3.0))) (* (* (* (/ 8.0 (/ (sin x) (sin (* 0.5 x)))) (/ 8.0 (/ (sin x) (sin (* 0.5 x))))) (/ 8.0 (/ (sin x) (sin (* 0.5 x))))) (* (* (/ (sin (* 0.5 x)) 3.0) (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) 3.0))) (* (cbrt (* (/ 8.0 (/ (sin x) (sin (* 0.5 x)))) (/ (sin (* 0.5 x)) 3.0))) (cbrt (* (/ 8.0 (/ (sin x) (sin (* 0.5 x)))) (/ (sin (* 0.5 x)) 3.0)))) (cbrt (* (/ 8.0 (/ (sin x) (sin (* 0.5 x)))) (/ (sin (* 0.5 x)) 3.0))) (* (* (* (/ 8.0 (/ (sin x) (sin (* 0.5 x)))) (/ (sin (* 0.5 x)) 3.0)) (* (/ 8.0 (/ (sin x) (sin (* 0.5 x)))) (/ (sin (* 0.5 x)) 3.0))) (* (/ 8.0 (/ (sin x) (sin (* 0.5 x)))) (/ (sin (* 0.5 x)) 3.0))) (sqrt (* (/ 8.0 (/ (sin x) (sin (* 0.5 x)))) (/ (sin (* 0.5 x)) 3.0))) (sqrt (* (/ 8.0 (/ (sin x) (sin (* 0.5 x)))) (/ (sin (* 0.5 x)) 3.0))) (* 8.0 (sin (* 0.5 x))) (* (/ (sin x) (sin (* 0.5 x))) 3.0) (* (sqrt (/ 8.0 (/ (sin x) (sin (* 0.5 x))))) (sqrt (/ (sin (* 0.5 x)) 3.0))) (* (sqrt (/ 8.0 (/ (sin x) (sin (* 0.5 x))))) (sqrt (/ (sin (* 0.5 x)) 3.0))) (* (sqrt (/ 8.0 (/ (sin x) (sin (* 0.5 x))))) (/ (sqrt (sin (* 0.5 x))) (sqrt 3.0))) (* (sqrt (/ 8.0 (/ (sin x) (sin (* 0.5 x))))) (/ (sqrt (sin (* 0.5 x))) (sqrt 3.0))) (* (/ (sqrt 8.0) (sqrt (/ (sin x) (sin (* 0.5 x))))) (sqrt (/ (sin (* 0.5 x)) 3.0))) (* (/ (sqrt 8.0) (sqrt (/ (sin x) (sin (* 0.5 x))))) (sqrt (/ (sin (* 0.5 x)) 3.0))) (* (/ (sqrt 8.0) (sqrt (/ (sin x) (sin (* 0.5 x))))) (/ (sqrt (sin (* 0.5 x))) (sqrt 3.0))) (* (/ (sqrt 8.0) (sqrt (/ (sin x) (sin (* 0.5 x))))) (/ (sqrt (sin (* 0.5 x))) (sqrt 3.0))) (* (/ (sqrt 8.0) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x))))) (sqrt (/ (sin (* 0.5 x)) 3.0))) (* (/ (sqrt 8.0) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x))))) (sqrt (/ (sin (* 0.5 x)) 3.0))) (* (/ (sqrt 8.0) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x))))) (/ (sqrt (sin (* 0.5 x))) (sqrt 3.0))) (* (/ (sqrt 8.0) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x))))) (/ (sqrt (sin (* 0.5 x))) (sqrt 3.0))) (* (/ 8.0 (/ (sin x) (sin (* 0.5 x)))) (* (cbrt (/ (sin (* 0.5 x)) 3.0)) (cbrt (/ (sin (* 0.5 x)) 3.0)))) (* (/ 8.0 (/ (sin x) (sin (* 0.5 x)))) (sqrt (/ (sin (* 0.5 x)) 3.0))) (* (/ 8.0 (/ (sin x) (sin (* 0.5 x)))) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (* (cbrt 3.0) (cbrt 3.0)))) (* (/ 8.0 (/ (sin x) (sin (* 0.5 x)))) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (sqrt 3.0))) (* (/ 8.0 (/ (sin x) (sin (* 0.5 x)))) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) 1)) (* (/ 8.0 (/ (sin x) (sin (* 0.5 x)))) (/ (sqrt (sin (* 0.5 x))) (* (cbrt 3.0) (cbrt 3.0)))) (* (/ 8.0 (/ (sin x) (sin (* 0.5 x)))) (/ (sqrt (sin (* 0.5 x))) (sqrt 3.0))) (* (/ 8.0 (/ (sin x) (sin (* 0.5 x)))) (/ (sqrt (sin (* 0.5 x))) 1)) (* (/ 8.0 (/ (sin x) (sin (* 0.5 x)))) (/ 1 (* (cbrt 3.0) (cbrt 3.0)))) (* (/ 8.0 (/ (sin x) (sin (* 0.5 x)))) (/ 1 (sqrt 3.0))) (* (/ 8.0 (/ (sin x) (sin (* 0.5 x)))) (/ 1 1)) (* (/ 8.0 (/ (sin x) (sin (* 0.5 x)))) 1) (* (/ 8.0 (/ (sin x) (sin (* 0.5 x)))) (sin (* 0.5 x))) (* (cbrt (/ 8.0 (/ (sin x) (sin (* 0.5 x))))) (/ (sin (* 0.5 x)) 3.0)) (* (sqrt (/ 8.0 (/ (sin x) (sin (* 0.5 x))))) (/ (sin (* 0.5 x)) 3.0)) (* (/ (cbrt 8.0) (cbrt (/ (sin x) (sin (* 0.5 x))))) (/ (sin (* 0.5 x)) 3.0)) (* (/ (cbrt 8.0) (sqrt (/ (sin x) (sin (* 0.5 x))))) (/ (sin (* 0.5 x)) 3.0)) (* (/ (cbrt 8.0) (/ (cbrt (sin x)) (cbrt (sin (* 0.5 x))))) (/ (sin (* 0.5 x)) 3.0)) (* (/ (cbrt 8.0) (/ (cbrt (sin x)) (sqrt (sin (* 0.5 x))))) (/ (sin (* 0.5 x)) 3.0)) (* (/ (cbrt 8.0) (/ (cbrt (sin x)) (sin (* 0.5 x)))) (/ (sin (* 0.5 x)) 3.0)) (* (/ (cbrt 8.0) (/ (sqrt (sin x)) (cbrt (sin (* 0.5 x))))) (/ (sin (* 0.5 x)) 3.0)) (* (/ (cbrt 8.0) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x))))) (/ (sin (* 0.5 x)) 3.0)) (* (/ (cbrt 8.0) (/ (sqrt (sin x)) (sin (* 0.5 x)))) (/ (sin (* 0.5 x)) 3.0)) (* (/ (cbrt 8.0) (/ (sin x) (cbrt (sin (* 0.5 x))))) (/ (sin (* 0.5 x)) 3.0)) (* (/ (cbrt 8.0) (/ (sin x) (sqrt (sin (* 0.5 x))))) (/ (sin (* 0.5 x)) 3.0)) (* (/ (cbrt 8.0) (/ (sin x) (sin (* 0.5 x)))) (/ (sin (* 0.5 x)) 3.0)) (* (/ (cbrt 8.0) (/ (sin x) (sin (* 0.5 x)))) (/ (sin (* 0.5 x)) 3.0)) (* (/ (cbrt 8.0) (/ 1 (sin (* 0.5 x)))) (/ (sin (* 0.5 x)) 3.0)) (* (/ (sqrt 8.0) (cbrt (/ (sin x) (sin (* 0.5 x))))) (/ (sin (* 0.5 x)) 3.0)) (* (/ (sqrt 8.0) (sqrt (/ (sin x) (sin (* 0.5 x))))) (/ (sin (* 0.5 x)) 3.0)) (* (/ (sqrt 8.0) (/ (cbrt (sin x)) (cbrt (sin (* 0.5 x))))) (/ (sin (* 0.5 x)) 3.0)) (* (/ (sqrt 8.0) (/ (cbrt (sin x)) (sqrt (sin (* 0.5 x))))) (/ (sin (* 0.5 x)) 3.0)) (* (/ (sqrt 8.0) (/ (cbrt (sin x)) (sin (* 0.5 x)))) (/ (sin (* 0.5 x)) 3.0)) (* (/ (sqrt 8.0) (/ (sqrt (sin x)) (cbrt (sin (* 0.5 x))))) (/ (sin (* 0.5 x)) 3.0)) (* (/ (sqrt 8.0) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x))))) (/ (sin (* 0.5 x)) 3.0)) (* (/ (sqrt 8.0) (/ (sqrt (sin x)) (sin (* 0.5 x)))) (/ (sin (* 0.5 x)) 3.0)) (* (/ (sqrt 8.0) (/ (sin x) (cbrt (sin (* 0.5 x))))) (/ (sin (* 0.5 x)) 3.0)) (* (/ (sqrt 8.0) (/ (sin x) (sqrt (sin (* 0.5 x))))) (/ (sin (* 0.5 x)) 3.0)) (* (/ (sqrt 8.0) (/ (sin x) (sin (* 0.5 x)))) (/ (sin (* 0.5 x)) 3.0)) (* (/ (sqrt 8.0) (/ (sin x) (sin (* 0.5 x)))) (/ (sin (* 0.5 x)) 3.0)) (* (/ (sqrt 8.0) (/ 1 (sin (* 0.5 x)))) (/ (sin (* 0.5 x)) 3.0)) (* (/ 8.0 (cbrt (/ (sin x) (sin (* 0.5 x))))) (/ (sin (* 0.5 x)) 3.0)) (* (/ 8.0 (sqrt (/ (sin x) (sin (* 0.5 x))))) (/ (sin (* 0.5 x)) 3.0)) (* (/ 8.0 (/ (cbrt (sin x)) (cbrt (sin (* 0.5 x))))) (/ (sin (* 0.5 x)) 3.0)) (* (/ 8.0 (/ (cbrt (sin x)) (sqrt (sin (* 0.5 x))))) (/ (sin (* 0.5 x)) 3.0)) (* (/ 8.0 (/ (cbrt (sin x)) (sin (* 0.5 x)))) (/ (sin (* 0.5 x)) 3.0)) (* (/ 8.0 (/ (sqrt (sin x)) (cbrt (sin (* 0.5 x))))) (/ (sin (* 0.5 x)) 3.0)) (* (/ 8.0 (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x))))) (/ (sin (* 0.5 x)) 3.0)) (* (/ 8.0 (/ 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0.3333333333333333 (sin (* 0.5 x))) (* 0.3333333333333333 (sin (* 0.5 x))) 2.146 * * * [progress]: adding candidates to table 2.740 * [progress]: [Phase 3 of 3] Extracting. 2.740 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #) 2.742 * * * [regime-changes]: Trying 1 branch expressions: (x) 2.742 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # #) 2.777 * * * [regime]: Found split indices: #