6.958 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.054 * * * [progress]: [2/2] Setting up program. 0.057 * [progress]: [Phase 2 of 3] Improving. 0.057 * [simplify]: Simplifying using # : (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x)) 0.061 * * [simplify]: iteration 0 : 20 enodes (cost 9 ) 0.063 * * [simplify]: iteration 1 : 43 enodes (cost 9 ) 0.066 * * [simplify]: iteration 2 : 93 enodes (cost 9 ) 0.069 * * [simplify]: iteration 3 : 174 enodes (cost 9 ) 0.073 * * [simplify]: iteration 4 : 269 enodes (cost 9 ) 0.077 * * [simplify]: iteration 5 : 288 enodes (cost 9 ) 0.081 * * [simplify]: iteration 6 : 288 enodes (cost 9 ) 0.081 * [simplify]: Simplified to: (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x)) 0.081 * * [progress]: iteration 1 / 4 0.081 * * * [progress]: picking best candidate 0.083 * * * * [pick]: Picked # 0.083 * * * [progress]: localizing error 0.095 * * * [progress]: generating rewritten candidates 0.095 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.106 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.114 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.132 * * * [progress]: generating series expansions 0.132 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.133 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in (x) around 0 0.134 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.134 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.134 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 0.134 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.134 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.134 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.134 * [taylor]: Taking taylor expansion of 0.5 in x 0.134 * [taylor]: Taking taylor expansion of x in x 0.137 * [taylor]: Taking taylor expansion of (sin x) in x 0.137 * [taylor]: Taking taylor expansion of x in x 0.138 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.138 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.138 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 0.138 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.138 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.139 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.139 * [taylor]: Taking taylor expansion of 0.5 in x 0.139 * [taylor]: Taking taylor expansion of x in x 0.141 * [taylor]: Taking taylor expansion of (sin x) in x 0.142 * [taylor]: Taking taylor expansion of x in x 0.183 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in (x) around 0 0.183 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 0.183 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.183 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 0.183 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.183 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.183 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.183 * [taylor]: Taking taylor expansion of 0.5 in x 0.183 * [taylor]: Taking taylor expansion of x in x 0.184 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.184 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.184 * [taylor]: Taking taylor expansion of x in x 0.184 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 0.184 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.184 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 0.184 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.185 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.185 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.185 * [taylor]: Taking taylor expansion of 0.5 in x 0.185 * [taylor]: Taking taylor expansion of x in x 0.185 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.185 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.185 * [taylor]: Taking taylor expansion of x in x 0.200 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in (x) around 0 0.200 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.200 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.200 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 0.201 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.201 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.201 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.201 * [taylor]: Taking taylor expansion of -0.5 in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.201 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.201 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.201 * [taylor]: Taking taylor expansion of -1 in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.202 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.202 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.202 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 0.202 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.202 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.202 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.202 * [taylor]: Taking taylor expansion of -0.5 in x 0.202 * [taylor]: Taking taylor expansion of x in x 0.202 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.202 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.202 * [taylor]: Taking taylor expansion of -1 in x 0.202 * [taylor]: Taking taylor expansion of x in x 0.217 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.218 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in (x) around 0 0.218 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 0.218 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.218 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.218 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.218 * [taylor]: Taking taylor expansion of 0.5 in x 0.218 * [taylor]: Taking taylor expansion of x in x 0.219 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 0.219 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.219 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.219 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.219 * [taylor]: Taking taylor expansion of 0.5 in x 0.219 * [taylor]: Taking taylor expansion of x in x 0.248 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in (x) around 0 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 0.248 * [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 0.255 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in (x) around 0 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 0.256 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.256 * [taylor]: Taking taylor expansion of -0.5 in x 0.256 * [taylor]: Taking taylor expansion of x in x 0.256 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 0.256 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.256 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.256 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.256 * [taylor]: Taking taylor expansion of -0.5 in x 0.256 * [taylor]: Taking taylor expansion of x in x 0.262 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.263 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (* 0.5 x)) 2)) in (x) around 0 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 0.266 * [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 0.296 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ 0.5 x)) 2)) in (x) around 0 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 0.297 * [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 0.309 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ -0.5 x)) 2)) in (x) around 0 0.309 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ -0.5 x)) 2)) in x 0.309 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.309 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.309 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.309 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.309 * [taylor]: Taking taylor expansion of -0.5 in x 0.309 * [taylor]: Taking taylor expansion of x in x 0.310 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ -0.5 x)) 2)) in x 0.310 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.310 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.310 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.310 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.310 * [taylor]: Taking taylor expansion of -0.5 in x 0.310 * [taylor]: Taking taylor expansion of x in x 0.325 * * * [progress]: simplifying candidates 0.327 * [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)) 0.335 * * [simplify]: iteration 0 : 412 enodes (cost 862 ) 0.348 * * [simplify]: iteration 1 : 2127 enodes (cost 656 ) 0.389 * * [simplify]: iteration 2 : 5001 enodes (cost 637 ) 0.394 * [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)) 0.395 * * * [progress]: adding candidates to table 0.630 * * [progress]: iteration 2 / 4 0.631 * * * [progress]: picking best candidate 0.662 * * * * [pick]: Picked # 0.662 * * * [progress]: localizing error 0.677 * * * [progress]: generating rewritten candidates 0.677 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.685 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.697 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.705 * * * [progress]: generating series expansions 0.705 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.706 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in (x) around 0 0.706 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 0.706 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.706 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.706 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.706 * [taylor]: Taking taylor expansion of 0.5 in x 0.706 * [taylor]: Taking taylor expansion of x in x 0.708 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 0.708 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.708 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.708 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.708 * [taylor]: Taking taylor expansion of 0.5 in x 0.708 * [taylor]: Taking taylor expansion of x in x 0.732 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in (x) around 0 0.732 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 0.732 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.732 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.732 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.732 * [taylor]: Taking taylor expansion of 0.5 in x 0.732 * [taylor]: Taking taylor expansion of x in x 0.732 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 0.732 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.732 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.732 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.732 * [taylor]: Taking taylor expansion of 0.5 in x 0.732 * [taylor]: Taking taylor expansion of x in x 0.739 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in (x) around 0 0.739 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 0.739 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.739 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.739 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.739 * [taylor]: Taking taylor expansion of -0.5 in x 0.739 * [taylor]: Taking taylor expansion of x in x 0.740 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 0.740 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.740 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.740 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.740 * [taylor]: Taking taylor expansion of -0.5 in x 0.740 * [taylor]: Taking taylor expansion of x in x 0.746 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.747 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in (x) around 0 0.747 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.747 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.747 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 0.747 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.747 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.747 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.747 * [taylor]: Taking taylor expansion of 0.5 in x 0.747 * [taylor]: Taking taylor expansion of x in x 0.750 * [taylor]: Taking taylor expansion of (sin x) in x 0.750 * [taylor]: Taking taylor expansion of x in x 0.751 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin 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 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 0.758 * [taylor]: Taking taylor expansion of (sin x) in x 0.758 * [taylor]: Taking taylor expansion of x in x 0.798 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in (x) around 0 0.799 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 0.799 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.799 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 0.799 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.799 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.799 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.799 * [taylor]: Taking taylor expansion of 0.5 in x 0.799 * [taylor]: Taking taylor expansion of 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 (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 0.800 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.800 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 0.800 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) 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)) in x 0.800 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.800 * [taylor]: Taking taylor expansion of x in x 0.816 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in (x) around 0 0.816 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.816 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.816 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 0.816 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.816 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.816 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.816 * [taylor]: Taking taylor expansion of -0.5 in x 0.816 * [taylor]: Taking taylor expansion of x in x 0.816 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.816 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.816 * [taylor]: Taking taylor expansion of -1 in x 0.816 * [taylor]: Taking taylor expansion of x in x 0.817 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.817 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.817 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 0.817 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.817 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.817 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.817 * [taylor]: Taking taylor expansion of -0.5 in x 0.817 * [taylor]: Taking taylor expansion of x in x 0.817 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.817 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.817 * [taylor]: Taking taylor expansion of -1 in x 0.817 * [taylor]: Taking taylor expansion of x in x 0.832 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.832 * [approximate]: Taking taylor expansion of (/ (sin (* 0.5 x)) (sin x)) in (x) around 0 0.832 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 x)) (sin x)) in x 0.832 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.832 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.832 * [taylor]: Taking taylor expansion of 0.5 in x 0.832 * [taylor]: Taking taylor expansion of x in x 0.834 * [taylor]: Taking taylor expansion of (sin x) in x 0.834 * [taylor]: Taking taylor expansion of x in x 0.836 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 x)) (sin x)) in x 0.836 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.836 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.836 * [taylor]: Taking taylor expansion of 0.5 in x 0.836 * [taylor]: Taking taylor expansion of x in x 0.838 * [taylor]: Taking taylor expansion of (sin x) in x 0.838 * [taylor]: Taking taylor expansion of x in x 0.869 * [approximate]: Taking taylor expansion of (/ (sin (/ 0.5 x)) (sin (/ 1 x))) in (x) around 0 0.869 * [taylor]: Taking taylor expansion of (/ (sin (/ 0.5 x)) (sin (/ 1 x))) in x 0.869 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.869 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.869 * [taylor]: Taking taylor expansion of 0.5 in x 0.869 * [taylor]: Taking taylor expansion of x in x 0.869 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.870 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.870 * [taylor]: Taking taylor expansion of x in x 0.870 * [taylor]: Taking taylor expansion of (/ (sin (/ 0.5 x)) (sin (/ 1 x))) in x 0.870 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.870 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.870 * [taylor]: Taking taylor expansion of 0.5 in x 0.870 * [taylor]: Taking taylor expansion of x in x 0.870 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.870 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.870 * [taylor]: Taking taylor expansion of x in x 0.873 * [approximate]: Taking taylor expansion of (/ (sin (/ -0.5 x)) (sin (/ -1 x))) in (x) around 0 0.873 * [taylor]: Taking taylor expansion of (/ (sin (/ -0.5 x)) (sin (/ -1 x))) in x 0.873 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.873 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.873 * [taylor]: Taking taylor expansion of -0.5 in x 0.873 * [taylor]: Taking taylor expansion of x in x 0.874 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.874 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.874 * [taylor]: Taking taylor expansion of -1 in x 0.874 * [taylor]: Taking taylor expansion of x in x 0.875 * [taylor]: Taking taylor expansion of (/ (sin (/ -0.5 x)) (sin (/ -1 x))) in x 0.875 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.875 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.875 * [taylor]: Taking taylor expansion of -0.5 in x 0.875 * [taylor]: Taking taylor expansion of x in x 0.875 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.875 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.875 * [taylor]: Taking taylor expansion of -1 in x 0.875 * [taylor]: Taking taylor expansion of x in x 0.878 * * * [progress]: simplifying candidates 0.879 * [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)) 0.888 * * [simplify]: iteration 0 : 474 enodes (cost 1006 ) 0.902 * * [simplify]: iteration 1 : 2505 enodes (cost 814 ) 0.951 * * [simplify]: iteration 2 : 5001 enodes (cost 799 ) 0.956 * [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) (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 (* 0.5 x)) (sin x)))) (log1p (* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (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 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)))) (pow (exp (/ 8.0 3.0)) (/ (pow (sin (* 0.5 x)) 2) (sin x))) (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 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))) (cbrt (* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x))))) (cbrt (* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))) (pow (/ (* 8.0 (/ (pow (sin (* 0.5 x)) 2) (sin x))) 3.0) 3) (sqrt (* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))) (sqrt (* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))) (* (pow (sin (* 0.5 x)) 2) 8.0) (* 3.0 (sin x)) (* (* (/ 8.0 3.0) (sin (* x 0.5))) (* (cbrt (/ (sin (* 0.5 x)) (sin x))) (cbrt (/ (sin (* 0.5 x)) (sin x))))) (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sqrt (/ (sin (* 0.5 x)) (sin x)))) (* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (* (cbrt (sin x)) (cbrt (sin x))))) (* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (* (cbrt 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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)) 0.957 * * * [progress]: adding candidates to table 1.274 * * [progress]: iteration 3 / 4 1.274 * * * [progress]: picking best candidate 1.303 * * * * [pick]: Picked # 1.304 * * * [progress]: localizing error 1.319 * * * [progress]: generating rewritten candidates 1.319 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 1.331 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 1.336 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 1.344 * * * [progress]: generating series expansions 1.344 * * * * [progress]: [ 1 / 3 ] generating series at (2) 1.345 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in (x) around 0 1.345 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 1.345 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.345 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 1.345 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 1.345 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.345 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.345 * [taylor]: Taking taylor expansion of 0.5 in x 1.345 * [taylor]: Taking taylor expansion of x in x 1.348 * [taylor]: Taking taylor expansion of (sin x) in x 1.348 * [taylor]: Taking taylor expansion of x in x 1.349 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 1.349 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.349 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 1.349 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) 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 1.350 * [taylor]: Taking taylor expansion of 0.5 in x 1.350 * [taylor]: Taking taylor expansion of x in x 1.352 * [taylor]: Taking taylor expansion of (sin x) in x 1.352 * [taylor]: Taking taylor expansion of x in x 1.399 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in (x) around 0 1.399 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 1.399 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.399 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 1.399 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 1.399 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.399 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.399 * [taylor]: Taking taylor expansion of 0.5 in x 1.399 * [taylor]: Taking taylor expansion of x in x 1.400 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.400 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.400 * [taylor]: Taking taylor expansion of x in x 1.400 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 1.400 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.401 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 1.401 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 1.401 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.401 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.401 * [taylor]: Taking taylor expansion of 0.5 in x 1.401 * [taylor]: Taking taylor expansion of x in x 1.401 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.401 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.401 * [taylor]: Taking taylor expansion of x in x 1.416 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in (x) around 0 1.416 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 1.416 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.416 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 1.416 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 1.416 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.416 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.416 * [taylor]: Taking taylor expansion of -0.5 in x 1.416 * [taylor]: Taking taylor expansion of x in x 1.416 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.417 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.417 * [taylor]: Taking taylor expansion of -1 in x 1.417 * [taylor]: Taking taylor expansion of x in x 1.417 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 1.417 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.417 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 1.417 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 1.417 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.417 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.417 * [taylor]: Taking taylor expansion of -0.5 in x 1.417 * [taylor]: Taking taylor expansion of x in x 1.418 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.418 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.418 * [taylor]: Taking taylor expansion of -1 in x 1.418 * [taylor]: Taking taylor expansion of x in x 1.432 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 1.432 * [approximate]: Taking taylor expansion of (/ (sin (* 0.5 x)) (sin x)) in (x) around 0 1.432 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 x)) (sin x)) in x 1.432 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.432 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.432 * [taylor]: Taking taylor expansion of 0.5 in x 1.432 * [taylor]: Taking taylor expansion of x in x 1.434 * [taylor]: Taking taylor expansion of (sin x) in x 1.434 * [taylor]: Taking taylor expansion of x in x 1.436 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 x)) (sin x)) in x 1.436 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.436 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.436 * [taylor]: Taking taylor expansion of 0.5 in x 1.436 * [taylor]: Taking taylor expansion of x in x 1.437 * [taylor]: Taking taylor expansion of (sin x) in x 1.437 * [taylor]: Taking taylor expansion of x in x 1.472 * [approximate]: Taking taylor expansion of (/ (sin (/ 0.5 x)) (sin (/ 1 x))) in (x) around 0 1.472 * [taylor]: Taking taylor expansion of (/ (sin (/ 0.5 x)) (sin (/ 1 x))) in x 1.472 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.472 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.472 * [taylor]: Taking taylor expansion of 0.5 in x 1.472 * [taylor]: Taking taylor expansion of x in x 1.472 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.472 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.472 * [taylor]: Taking taylor expansion of x in x 1.473 * [taylor]: Taking taylor expansion of (/ (sin (/ 0.5 x)) (sin (/ 1 x))) in x 1.473 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.473 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.473 * [taylor]: Taking taylor expansion of 0.5 in x 1.473 * [taylor]: Taking taylor expansion of x in x 1.473 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.473 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.473 * [taylor]: Taking taylor expansion of x in x 1.476 * [approximate]: Taking taylor expansion of (/ (sin (/ -0.5 x)) (sin (/ -1 x))) in (x) around 0 1.476 * [taylor]: Taking taylor expansion of (/ (sin (/ -0.5 x)) (sin (/ -1 x))) in x 1.476 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.476 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.476 * [taylor]: Taking taylor expansion of -0.5 in x 1.476 * [taylor]: Taking taylor expansion of x in x 1.477 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.477 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.477 * [taylor]: Taking taylor expansion of -1 in x 1.477 * [taylor]: Taking taylor expansion of x in x 1.477 * [taylor]: Taking taylor expansion of (/ (sin (/ -0.5 x)) (sin (/ -1 x))) in x 1.477 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.477 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.477 * [taylor]: Taking taylor expansion of -0.5 in x 1.477 * [taylor]: Taking taylor expansion of x in x 1.478 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.478 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.478 * [taylor]: Taking taylor expansion of -1 in x 1.478 * [taylor]: Taking taylor expansion of x in x 1.480 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 1.481 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in (x) around 0 1.481 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 1.481 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.481 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.481 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.481 * [taylor]: Taking taylor expansion of 0.5 in x 1.481 * [taylor]: Taking taylor expansion of x in x 1.482 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 1.482 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.482 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.482 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.482 * [taylor]: Taking taylor expansion of 0.5 in x 1.482 * [taylor]: Taking taylor expansion of x in x 1.504 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in (x) around 0 1.504 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 1.504 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.504 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.504 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.504 * [taylor]: Taking taylor expansion of 0.5 in x 1.504 * [taylor]: Taking taylor expansion of x in x 1.504 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 1.504 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.504 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.504 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.504 * [taylor]: Taking taylor expansion of 0.5 in x 1.504 * [taylor]: Taking taylor expansion of x in x 1.511 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in (x) around 0 1.511 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 1.511 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.511 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.511 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.511 * [taylor]: Taking taylor expansion of -0.5 in x 1.511 * [taylor]: Taking taylor expansion of x in x 1.512 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 1.512 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.512 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.512 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.512 * [taylor]: Taking taylor expansion of -0.5 in x 1.512 * [taylor]: Taking taylor expansion of x in x 1.518 * * * [progress]: simplifying candidates 1.520 * [simplify]: Simplifying using # : (expm1 (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin (* 0.5 x)) (sin x)))) (log1p (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin (* 0.5 x)) (sin x)))) (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin (* 0.5 x)) (sin x))) (+ (- (+ (log 8.0) (log (sin (* x 0.5)))) (log 3.0)) (- (log (sin (* 0.5 x))) (log (sin x)))) (+ (- (+ (log 8.0) (log (sin (* x 0.5)))) (log 3.0)) (log (/ (sin (* 0.5 x)) (sin x)))) (+ (- (log (* 8.0 (sin (* x 0.5)))) (log 3.0)) (- (log (sin (* 0.5 x))) (log (sin x)))) (+ (- (log (* 8.0 (sin (* x 0.5)))) (log 3.0)) (log (/ (sin (* 0.5 x)) (sin x)))) (+ (log (/ (* 8.0 (sin (* x 0.5))) 3.0)) (- (log (sin (* 0.5 x))) (log (sin x)))) (+ (log (/ (* 8.0 (sin (* x 0.5))) 3.0)) (log (/ (sin (* 0.5 x)) (sin x)))) (log (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin (* 0.5 x)) (sin x)))) (exp (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin (* 0.5 x)) (sin x)))) (* (/ (* (* (* 8.0 8.0) 8.0) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* 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 (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* 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 (sin (* x 0.5))) (* 8.0 (sin (* x 0.5)))) (* 8.0 (sin (* x 0.5)))) (* (* 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 (sin (* x 0.5))) (* 8.0 (sin (* x 0.5)))) (* 8.0 (sin (* x 0.5)))) (* (* 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 (sin (* x 0.5))) 3.0) (/ (* 8.0 (sin (* x 0.5))) 3.0)) (/ (* 8.0 (sin (* x 0.5))) 3.0)) (/ (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x))) (* (* (sin x) (sin x)) (sin x)))) (* (* (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (* 8.0 (sin (* x 0.5))) 3.0)) (/ (* 8.0 (sin (* x 0.5))) 3.0)) (* (* (/ (sin (* 0.5 x)) (sin x)) (/ (sin (* 0.5 x)) (sin x))) (/ (sin (* 0.5 x)) (sin x)))) (* (cbrt (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin (* 0.5 x)) (sin x)))) (cbrt (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin (* 0.5 x)) (sin x))))) (cbrt (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin (* 0.5 x)) (sin x)))) (* (* (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin (* 0.5 x)) (sin x))) (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin (* 0.5 x)) (sin x)))) (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin (* 0.5 x)) (sin x)))) (sqrt (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin (* 0.5 x)) (sin x)))) (sqrt (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin (* 0.5 x)) (sin x)))) (* (* 8.0 (sin (* x 0.5))) (sin (* 0.5 x))) (* 3.0 (sin x)) (* (sqrt (/ (* 8.0 (sin (* x 0.5))) 3.0)) (sqrt (/ (sin (* 0.5 x)) (sin x)))) (* (sqrt (/ (* 8.0 (sin (* x 0.5))) 3.0)) (sqrt (/ (sin (* 0.5 x)) (sin x)))) (* (sqrt (/ (* 8.0 (sin (* x 0.5))) 3.0)) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x)))) (* (sqrt (/ (* 8.0 (sin (* x 0.5))) 3.0)) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x)))) (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (* (cbrt (/ (sin (* 0.5 x)) (sin x))) (cbrt (/ (sin (* 0.5 x)) (sin x))))) (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (sqrt (/ (sin (* 0.5 x)) (sin x)))) (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (* (cbrt (sin x)) (cbrt (sin x))))) (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (sqrt (sin x)))) (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) 1)) (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sqrt (sin (* 0.5 x))) (* (cbrt (sin x)) (cbrt (sin x))))) (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x)))) (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sqrt (sin (* 0.5 x))) 1)) (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ 1 (* (cbrt (sin x)) (cbrt (sin x))))) (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ 1 (sqrt (sin x)))) (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ 1 1)) (* (/ (* 8.0 (sin (* x 0.5))) 3.0) 1) (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (sin (* 0.5 x))) (* (cbrt (/ (* 8.0 (sin (* x 0.5))) 3.0)) (/ (sin (* 0.5 x)) (sin x))) (* (sqrt (/ (* 8.0 (sin (* x 0.5))) 3.0)) (/ (sin (* 0.5 x)) (sin x))) (* (/ (sin (* x 0.5)) (cbrt 3.0)) (/ (sin (* 0.5 x)) (sin x))) (* (/ (sin (* x 0.5)) (sqrt 3.0)) (/ (sin (* 0.5 x)) (sin x))) (* (/ (sin (* x 0.5)) 3.0) (/ (sin (* 0.5 x)) (sin x))) (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin (* 0.5 x)) (sin x))) (* (/ 1 3.0) (/ (sin (* 0.5 x)) (sin x))) (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (sin (* 0.5 x))) (* (* 8.0 (sin (* x 0.5))) (/ (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 (/ (* 8.0 (sin (* x 0.5))) 3.0)) (log1p (/ (* 8.0 (sin (* x 0.5))) 3.0)) (- (+ (log 8.0) (log (sin (* x 0.5)))) (log 3.0)) (- (log (* 8.0 (sin (* x 0.5)))) (log 3.0)) (log (/ (* 8.0 (sin (* x 0.5))) 3.0)) (exp (/ (* 8.0 (sin (* x 0.5))) 3.0)) (/ (* (* (* 8.0 8.0) 8.0) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* 3.0 3.0) 3.0)) (/ (* (* (* 8.0 (sin (* x 0.5))) (* 8.0 (sin (* x 0.5)))) (* 8.0 (sin (* x 0.5)))) (* (* 3.0 3.0) 3.0)) (* (cbrt (/ (* 8.0 (sin (* x 0.5))) 3.0)) (cbrt (/ (* 8.0 (sin (* x 0.5))) 3.0))) (cbrt (/ (* 8.0 (sin (* x 0.5))) 3.0)) (* (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (* 8.0 (sin (* x 0.5))) 3.0)) (/ (* 8.0 (sin (* x 0.5))) 3.0)) (sqrt (/ (* 8.0 (sin (* x 0.5))) 3.0)) (sqrt (/ (* 8.0 (sin (* x 0.5))) 3.0)) (- (* 8.0 (sin (* x 0.5)))) (- 3.0) (/ 8.0 (* (cbrt 3.0) (cbrt 3.0))) (/ (sin (* x 0.5)) (cbrt 3.0)) (/ 8.0 (sqrt 3.0)) (/ (sin (* x 0.5)) (sqrt 3.0)) (/ 8.0 1) (/ (sin (* x 0.5)) 3.0) (/ 1 3.0) (/ 3.0 (* 8.0 (sin (* x 0.5)))) (/ (* 8.0 (sin (* x 0.5))) (* (cbrt 3.0) (cbrt 3.0))) (/ (* 8.0 (sin (* x 0.5))) (sqrt 3.0)) (/ (* 8.0 (sin (* x 0.5))) 1) (/ 3.0 (sin (* x 0.5))) (+ (* 0.05555555555555555 (pow x 3)) (+ (* 0.005555555555555554 (pow x 5)) (* 0.6666666666666666 x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (+ (* 0.0625 (pow x 2)) (+ (* 0.006510416666666666 (pow x 4)) 0.5)) (/ (sin (* 0.5 x)) (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))) 1.527 * * [simplify]: iteration 0 : 469 enodes (cost 1030 ) 1.539 * * [simplify]: iteration 1 : 2437 enodes (cost 847 ) 1.582 * * [simplify]: iteration 2 : 5001 enodes (cost 823 ) 1.588 * [simplify]: Simplified to: (expm1 (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin (* 0.5 x)) (sin x)))) (log1p (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin (* 0.5 x)) (sin x)))) (/ 8.0 (/ 3.0 (/ (pow (sin (* 0.5 x)) 2) (sin x)))) (- (log 8.0) (log (/ 3.0 (/ (pow (sin (* 0.5 x)) 2) (sin x))))) (- (log 8.0) (log (/ 3.0 (/ (pow (sin (* 0.5 x)) 2) (sin x))))) (- (log 8.0) (log (/ 3.0 (/ (pow (sin (* 0.5 x)) 2) (sin x))))) (- (log 8.0) (log (/ 3.0 (/ (pow (sin (* 0.5 x)) 2) (sin x))))) (- (log 8.0) (log (/ 3.0 (/ (pow (sin (* 0.5 x)) 2) (sin x))))) (- (log 8.0) (log (/ 3.0 (/ (pow (sin (* 0.5 x)) 2) (sin x))))) (- (log 8.0) (log (/ 3.0 (/ (pow (sin (* 0.5 x)) 2) (sin x))))) (pow (exp 1) (/ 8.0 (/ 3.0 (/ (pow (sin (* 0.5 x)) 2) (sin x))))) (pow (/ 8.0 (/ 3.0 (/ (pow (sin (* 0.5 x)) 2) (sin x)))) 3) (pow (/ 8.0 (/ 3.0 (/ (pow (sin (* 0.5 x)) 2) (sin x)))) 3) (pow (/ 8.0 (/ 3.0 (/ (pow (sin (* 0.5 x)) 2) (sin x)))) 3) (pow (/ 8.0 (/ 3.0 (/ (pow (sin (* 0.5 x)) 2) (sin x)))) 3) (pow (/ 8.0 (/ 3.0 (/ (pow (sin (* 0.5 x)) 2) (sin x)))) 3) (pow (/ 8.0 (/ 3.0 (/ (pow (sin (* 0.5 x)) 2) (sin x)))) 3) (* (cbrt (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin (* 0.5 x)) (sin x)))) (cbrt (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin (* 0.5 x)) (sin x))))) (cbrt (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin (* 0.5 x)) (sin x)))) (pow (/ 8.0 (/ 3.0 (/ (pow (sin (* 0.5 x)) 2) (sin x)))) 3) (sqrt (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin (* 0.5 x)) (sin x)))) (sqrt (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin (* 0.5 x)) (sin x)))) (* (pow (sin (* 0.5 x)) 2) 8.0) (* 3.0 (sin x)) (* (sqrt (/ (* 8.0 (sin (* x 0.5))) 3.0)) (sqrt (/ (sin (* 0.5 x)) (sin x)))) (* (sqrt (/ (* 8.0 (sin (* x 0.5))) 3.0)) (sqrt (/ (sin (* 0.5 x)) (sin x)))) (* (sqrt (/ (* 8.0 (sin (* x 0.5))) 3.0)) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x)))) (* (sqrt (/ (* 8.0 (sin (* x 0.5))) 3.0)) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x)))) (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (* (cbrt (/ (sin (* 0.5 x)) (sin x))) (cbrt (/ (sin (* 0.5 x)) (sin x))))) (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (sqrt (/ (sin (* 0.5 x)) (sin x)))) (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (* (cbrt (sin x)) (cbrt (sin x))))) (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (sqrt (sin x)))) (/ (* (* 8.0 (sin (* x 0.5))) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) 3.0) (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sqrt (sin (* 0.5 x))) (* (cbrt (sin x)) (cbrt (sin x))))) (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x)))) (/ (* (* 8.0 (sin (* x 0.5))) (sqrt (sin (* 0.5 x)))) 3.0) (/ (/ (* 8.0 (sin (* x 0.5))) 3.0) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (/ (* 8.0 (sin (* x 0.5))) 3.0) (sqrt (sin x))) (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ 8.0 (/ 3.0 (pow (sin (* 0.5 x)) 2))) (* (cbrt (/ (* 8.0 (sin (* x 0.5))) 3.0)) (/ (sin (* 0.5 x)) (sin x))) (* (sqrt (/ (* 8.0 (sin (* x 0.5))) 3.0)) (/ (sin (* 0.5 x)) (sin x))) (* (/ (sin (* x 0.5)) (cbrt 3.0)) (/ (sin (* 0.5 x)) (sin x))) (* (/ (sin (* x 0.5)) (sqrt 3.0)) (/ (sin (* 0.5 x)) (sin x))) (/ (/ (pow (sin (* 0.5 x)) 2) (sin x)) 3.0) (/ 8.0 (/ 3.0 (/ (pow (sin (* 0.5 x)) 2) (sin x)))) (* (/ 1 3.0) (/ (sin (* 0.5 x)) (sin x))) (/ 8.0 (/ 3.0 (pow (sin (* 0.5 x)) 2))) (/ 8.0 (/ (sin x) (pow (sin (* 0.5 x)) 2))) (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 (* x 0.5))) (- (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 (/ (* 8.0 (sin (* x 0.5))) 3.0)) (log1p (/ (* 8.0 (sin (* x 0.5))) 3.0)) (log (/ (* 8.0 (sin (* x 0.5))) 3.0)) (log (/ (* 8.0 (sin (* x 0.5))) 3.0)) (log (/ (* 8.0 (sin (* x 0.5))) 3.0)) (exp (/ (* 8.0 (sin (* x 0.5))) 3.0)) (pow (/ (* 8.0 (sin (* x 0.5))) 3.0) 3) (pow (/ (* 8.0 (sin (* x 0.5))) 3.0) 3) (* (cbrt (/ (* 8.0 (sin (* x 0.5))) 3.0)) (cbrt (/ (* 8.0 (sin (* x 0.5))) 3.0))) (cbrt (/ (* 8.0 (sin (* x 0.5))) 3.0)) (pow (/ (* 8.0 (sin (* x 0.5))) 3.0) 3) (sqrt (/ (* 8.0 (sin (* x 0.5))) 3.0)) (sqrt (/ (* 8.0 (sin (* x 0.5))) 3.0)) (- (* 8.0 (sin (* x 0.5)))) (- 3.0) (/ 8.0 (* (cbrt 3.0) (cbrt 3.0))) (/ (sin (* x 0.5)) (cbrt 3.0)) (/ 8.0 (sqrt 3.0)) (/ (sin (* x 0.5)) (sqrt 3.0)) 8.0 (/ (sin (* x 0.5)) 3.0) (/ 1 3.0) (/ 3.0 (* 8.0 (sin (* x 0.5)))) (/ (* 8.0 (sin (* x 0.5))) (* (cbrt 3.0) (cbrt 3.0))) (/ (* 8.0 (sin (* x 0.5))) (sqrt 3.0)) (* 8.0 (sin (* x 0.5))) (/ 3.0 (sin (* x 0.5))) (fma 0.05555555555555555 (pow x 3) (fma 0.005555555555555554 (pow x 5) (* 0.6666666666666666 x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (fma 0.0625 (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 1.3333333333333333 (- (* 0.0006944444444444444 (pow x 5)) (* 0.05555555555555555 (pow x 3)))) (* 2.6666666666666665 (sin (* 0.5 x))) (* 2.6666666666666665 (sin (* 0.5 x))) 1.588 * * * [progress]: adding candidates to table 1.914 * * [progress]: iteration 4 / 4 1.914 * * * [progress]: picking best candidate 1.937 * * * * [pick]: Picked # 1.937 * * * [progress]: localizing error 1.953 * * * [progress]: generating rewritten candidates 1.953 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 1.967 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 2) 1.972 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 1.994 * * * [progress]: generating series expansions 1.994 * * * * [progress]: [ 1 / 3 ] generating series at (2) 1.995 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in (x) around 0 1.995 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 1.995 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.995 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 1.995 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 1.995 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.995 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.995 * [taylor]: Taking taylor expansion of 0.5 in x 1.995 * [taylor]: Taking taylor expansion of x in x 1.999 * [taylor]: Taking taylor expansion of (sin x) in x 1.999 * [taylor]: Taking taylor expansion of x in x 2.000 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 2.000 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 2.000 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 2.000 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 2.000 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 2.000 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 2.000 * [taylor]: Taking taylor expansion of 0.5 in x 2.000 * [taylor]: Taking taylor expansion of x in x 2.003 * [taylor]: Taking taylor expansion of (sin x) in x 2.003 * [taylor]: Taking taylor expansion of x in x 2.044 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in (x) around 0 2.044 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 2.044 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 2.044 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 2.044 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 2.045 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.045 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.045 * [taylor]: Taking taylor expansion of 0.5 in x 2.045 * [taylor]: Taking taylor expansion of x in x 2.045 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.045 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.045 * [taylor]: Taking taylor expansion of x in x 2.046 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 2.046 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 2.046 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 2.046 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) 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 (sin (/ 1 x)) in x 2.046 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.046 * [taylor]: Taking taylor expansion of x in x 2.061 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in (x) around 0 2.062 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 2.062 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 2.062 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 2.062 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 2.062 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.062 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.062 * [taylor]: Taking taylor expansion of -0.5 in x 2.062 * [taylor]: Taking taylor expansion of x in x 2.062 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.062 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.062 * [taylor]: Taking taylor expansion of -1 in x 2.062 * [taylor]: Taking taylor expansion of x in x 2.063 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 2.063 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 2.063 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 2.063 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 2.063 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.063 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.063 * [taylor]: Taking taylor expansion of -0.5 in x 2.063 * [taylor]: Taking taylor expansion of x in x 2.063 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.063 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.063 * [taylor]: Taking taylor expansion of -1 in x 2.063 * [taylor]: Taking taylor expansion of x in x 2.086 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 2) 2.086 * [approximate]: Taking taylor expansion of (/ (sin (* 0.5 x)) (sin x)) in (x) around 0 2.086 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 x)) (sin x)) in x 2.086 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 2.087 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 2.087 * [taylor]: Taking taylor expansion of 0.5 in x 2.087 * [taylor]: Taking taylor expansion of x in x 2.088 * [taylor]: Taking taylor expansion of (sin x) in x 2.088 * [taylor]: Taking taylor expansion of x in x 2.090 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 x)) (sin x)) in x 2.090 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 2.090 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 2.090 * [taylor]: Taking taylor expansion of 0.5 in x 2.091 * [taylor]: Taking taylor expansion of x in x 2.092 * [taylor]: Taking taylor expansion of (sin x) in x 2.092 * [taylor]: Taking taylor expansion of x in x 2.120 * [approximate]: Taking taylor expansion of (/ (sin (/ 0.5 x)) (sin (/ 1 x))) in (x) around 0 2.120 * [taylor]: Taking taylor expansion of (/ (sin (/ 0.5 x)) (sin (/ 1 x))) in x 2.120 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.120 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.120 * [taylor]: Taking taylor expansion of 0.5 in x 2.120 * [taylor]: Taking taylor expansion of x in x 2.121 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.121 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.121 * [taylor]: Taking taylor expansion of x in x 2.121 * [taylor]: Taking taylor expansion of (/ (sin (/ 0.5 x)) (sin (/ 1 x))) in x 2.121 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.121 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.121 * [taylor]: Taking taylor expansion of 0.5 in x 2.121 * [taylor]: Taking taylor expansion of x in x 2.122 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.122 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.122 * [taylor]: Taking taylor expansion of x in x 2.124 * [approximate]: Taking taylor expansion of (/ (sin (/ -0.5 x)) (sin (/ -1 x))) in (x) around 0 2.124 * [taylor]: Taking taylor expansion of (/ (sin (/ -0.5 x)) (sin (/ -1 x))) in x 2.124 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.124 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.124 * [taylor]: Taking taylor expansion of -0.5 in x 2.124 * [taylor]: Taking taylor expansion of x in x 2.125 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.125 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.125 * [taylor]: Taking taylor expansion of -1 in x 2.125 * [taylor]: Taking taylor expansion of x in x 2.126 * [taylor]: Taking taylor expansion of (/ (sin (/ -0.5 x)) (sin (/ -1 x))) in x 2.126 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.126 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.126 * [taylor]: Taking taylor expansion of -0.5 in x 2.126 * [taylor]: Taking taylor expansion of x in x 2.126 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.126 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.126 * [taylor]: Taking taylor expansion of -1 in x 2.126 * [taylor]: Taking taylor expansion of x in x 2.129 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 2.129 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (/ (sin (* 0.5 x)) (sin x))) in (x) around 0 2.129 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ (sin (* 0.5 x)) (sin x))) in x 2.130 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.130 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 x)) (sin x)) in x 2.130 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 2.130 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 2.130 * [taylor]: Taking taylor expansion of 0.5 in x 2.130 * [taylor]: Taking taylor expansion of x in x 2.131 * [taylor]: Taking taylor expansion of (sin x) in x 2.131 * [taylor]: Taking taylor expansion of x in x 2.134 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ (sin (* 0.5 x)) (sin x))) in x 2.134 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.134 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 x)) (sin x)) in x 2.134 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 2.134 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 2.134 * [taylor]: Taking taylor expansion of 0.5 in x 2.134 * [taylor]: Taking taylor expansion of x in x 2.135 * [taylor]: Taking taylor expansion of (sin x) in x 2.135 * [taylor]: Taking taylor expansion of x in x 2.176 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (/ (sin (/ 0.5 x)) (sin (/ 1 x)))) in (x) around 0 2.176 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ (sin (/ 0.5 x)) (sin (/ 1 x)))) in x 2.176 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.176 * [taylor]: Taking taylor expansion of (/ (sin (/ 0.5 x)) (sin (/ 1 x))) in x 2.176 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.176 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.176 * [taylor]: Taking taylor expansion of 0.5 in x 2.176 * [taylor]: Taking taylor expansion of x in x 2.176 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.176 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.176 * [taylor]: Taking taylor expansion of x in x 2.177 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ (sin (/ 0.5 x)) (sin (/ 1 x)))) in x 2.177 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.177 * [taylor]: Taking taylor expansion of (/ (sin (/ 0.5 x)) (sin (/ 1 x))) in x 2.177 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.177 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.177 * [taylor]: Taking taylor expansion of 0.5 in x 2.177 * [taylor]: Taking taylor expansion of x in x 2.177 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.177 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.177 * [taylor]: Taking taylor expansion of x in x 2.187 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (/ (sin (/ -0.5 x)) (sin (/ -1 x)))) in (x) around 0 2.187 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ (sin (/ -0.5 x)) (sin (/ -1 x)))) in x 2.187 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.187 * [taylor]: Taking taylor expansion of (/ (sin (/ -0.5 x)) (sin (/ -1 x))) in x 2.187 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.187 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.187 * [taylor]: Taking taylor expansion of -0.5 in x 2.187 * [taylor]: Taking taylor expansion of x in x 2.188 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.188 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.188 * [taylor]: Taking taylor expansion of -1 in x 2.188 * [taylor]: Taking taylor expansion of x in x 2.188 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ (sin (/ -0.5 x)) (sin (/ -1 x)))) in x 2.188 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.188 * [taylor]: Taking taylor expansion of (/ (sin (/ -0.5 x)) (sin (/ -1 x))) in x 2.188 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.188 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.188 * [taylor]: Taking taylor expansion of -0.5 in x 2.188 * [taylor]: Taking taylor expansion of x in x 2.189 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.189 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.189 * [taylor]: Taking taylor expansion of -1 in x 2.189 * [taylor]: Taking taylor expansion of x in x 2.198 * * * [progress]: simplifying candidates 2.201 * [simplify]: Simplifying using # : (expm1 (* (* 8.0 (sin (* x 0.5))) (* (/ 1 3.0) (/ (sin (* 0.5 x)) (sin x))))) (log1p (* (* 8.0 (sin (* x 0.5))) (* (/ 1 3.0) (/ (sin (* 0.5 x)) (sin x))))) (* (* 8.0 (sin (* x 0.5))) (* (/ 1 3.0) (/ (sin (* 0.5 x)) (sin x)))) (* (* 8.0 (sin (* x 0.5))) (* (/ 1 3.0) (/ (sin (* 0.5 x)) (sin x)))) (* (* 8.0 (sin (* x 0.5))) (* (/ 1 3.0) (/ (sin (* 0.5 x)) (sin x)))) (* (* 8.0 (sin (* x 0.5))) (* (/ 1 3.0) (/ (sin (* 0.5 x)) (sin x)))) (+ (+ (log 8.0) (log (sin (* x 0.5)))) (+ (- (log 3.0)) (- (log (sin (* 0.5 x))) (log (sin x))))) (+ (+ (log 8.0) (log (sin (* x 0.5)))) (+ (- (log 3.0)) (log (/ (sin (* 0.5 x)) (sin x))))) (+ (+ (log 8.0) (log (sin (* x 0.5)))) (+ (- 0 (log 3.0)) (- (log (sin (* 0.5 x))) (log (sin x))))) (+ (+ (log 8.0) (log (sin (* x 0.5)))) (+ (- 0 (log 3.0)) (log (/ (sin (* 0.5 x)) (sin x))))) (+ (+ (log 8.0) (log (sin (* x 0.5)))) (+ (- (log 1) (log 3.0)) (- (log (sin (* 0.5 x))) (log (sin x))))) (+ (+ (log 8.0) (log (sin (* x 0.5)))) (+ (- (log 1) (log 3.0)) (log (/ (sin (* 0.5 x)) (sin x))))) (+ (+ (log 8.0) (log (sin (* x 0.5)))) (+ (log (/ 1 3.0)) (- (log (sin (* 0.5 x))) (log (sin x))))) (+ (+ (log 8.0) (log (sin (* x 0.5)))) (+ (log (/ 1 3.0)) (log (/ (sin (* 0.5 x)) (sin x))))) (+ (+ (log 8.0) (log (sin (* x 0.5)))) (log (* (/ 1 3.0) (/ (sin (* 0.5 x)) (sin x))))) (+ 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[simplify]: iteration 0 : 647 enodes (cost 1480 ) 2.229 * * [simplify]: iteration 1 : 2981 enodes (cost 1153 ) 2.283 * * [simplify]: iteration 2 : 5001 enodes (cost 1097 ) 2.290 * [simplify]: Simplified to: (expm1 (* (* 8.0 (sin (* x 0.5))) (* (/ 1 3.0) (/ (sin (* 0.5 x)) (sin x))))) (log1p (* (* 8.0 (sin (* x 0.5))) (* (/ 1 3.0) (/ (sin (* 0.5 x)) (sin x))))) (/ (* (* (pow (sin (* 0.5 x)) 2) 8.0) (/ 1 3.0)) (sin x)) (/ (* (* (pow (sin (* 0.5 x)) 2) 8.0) (/ 1 3.0)) (sin x)) (/ (* (* (pow (sin (* 0.5 x)) 2) 8.0) (/ 1 3.0)) (sin x)) (/ (* (* (pow (sin (* 0.5 x)) 2) 8.0) (/ 1 3.0)) (sin x)) (- (log (/ (* (pow (sin (* 0.5 x)) 2) 8.0) 3.0)) (log (sin x))) (- (log (/ (* (pow (sin (* 0.5 x)) 2) 8.0) 3.0)) (log (sin x))) (- (log (/ (* (pow (sin (* 0.5 x)) 2) 8.0) 3.0)) (log (sin x))) (- (log (/ (* (pow (sin (* 0.5 x)) 2) 8.0) 3.0)) (log (sin x))) (- (log (/ (* (pow (sin (* 0.5 x)) 2) 8.0) 3.0)) (log (sin x))) (- (log (/ (* (pow (sin (* 0.5 x)) 2) 8.0) 3.0)) (log (sin x))) (- (log (/ (* (pow 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3.0)) (sqrt (/ (sin (* 0.5 x)) (sin x)))) (* (/ 1 (sqrt 3.0)) (sqrt (/ (sin (* 0.5 x)) (sin x)))) (* (/ 1 (sqrt 3.0)) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x)))) (* (/ 1 (sqrt 3.0)) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x)))) (* (/ 1 (sqrt 3.0)) (sqrt (/ (sin (* 0.5 x)) (sin x)))) (* (/ 1 (sqrt 3.0)) (sqrt (/ (sin (* 0.5 x)) (sin x)))) (* (/ 1 (sqrt 3.0)) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x)))) (* (/ 1 (sqrt 3.0)) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x)))) (* (/ 1 3.0) (* (cbrt (/ (sin (* 0.5 x)) (sin x))) (cbrt (/ (sin (* 0.5 x)) (sin x))))) (* (/ 1 3.0) (sqrt (/ (sin (* 0.5 x)) (sin x)))) (/ (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (* (cbrt (sin x)) (cbrt (sin x)))) 3.0) (/ (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (sqrt (sin x))) 3.0) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) 3.0) (/ (/ (sqrt (sin (* 0.5 x))) (* (cbrt (sin x)) (cbrt (sin x)))) 3.0) (/ (sqrt (sin (* 0.5 x))) (* (sqrt (sin x)) 3.0)) (/ (sqrt (sin (* 0.5 x))) 3.0) (/ (/ 1 3.0) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (/ 1 3.0) (sqrt (sin x))) (/ 1 3.0) (/ 1 3.0) (/ (sin (* 0.5 x)) 3.0) (* (cbrt (/ 1 3.0)) (/ (sin (* 0.5 x)) (sin x))) (* (sqrt (/ 1 3.0)) (/ (sin (* 0.5 x)) (sin x))) (/ (/ (sin (* 0.5 x)) (sin x)) (cbrt 3.0)) (/ (/ (sin (* 0.5 x)) (sin x)) (sqrt 3.0)) (/ (/ (sin (* 0.5 x)) (sin x)) 3.0) (/ (/ (sin (* 0.5 x)) (sin x)) (cbrt 3.0)) (/ (/ (sin (* 0.5 x)) (sin x)) (sqrt 3.0)) (/ (/ (sin (* 0.5 x)) (sin x)) 3.0) (/ (/ (sin (* 0.5 x)) (sin x)) (cbrt 3.0)) (/ (/ (sin (* 0.5 x)) (sin x)) (sqrt 3.0)) (/ (/ (sin (* 0.5 x)) (sin x)) 3.0) (/ (/ (sin (* 0.5 x)) (sin x)) 3.0) (/ (/ (sin (* 0.5 x)) (sin x)) 3.0) (/ (sin (* 0.5 x)) 3.0) (/ (sin (* 0.5 x)) (sin 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 0.020833333333333332 (pow x 2) (fma 0.0021701388888888886 (pow x 4) 0.16666666666666666)) (* 0.3333333333333333 (/ (sin (* 0.5 x)) (sin x))) (* 0.3333333333333333 (/ (sin (* 0.5 x)) (sin x))) 2.291 * * * [progress]: adding candidates to table 2.631 * [progress]: [Phase 3 of 3] Extracting. 2.631 * * [regime]: Finding splitpoints for: (# # # # # # #) 2.633 * * * [regime-changes]: Trying 1 branch expressions: (x) 2.633 * * * * [regimes]: Trying to branch on x from (# # # # # # #) 2.666 * * * [regime]: Found split indices: #