8.405 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.053 * * * [progress]: [2/2] Setting up program. 0.056 * [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)) 0.060 * * [simplify]: iteration 0 : 20 enodes (cost 9 ) 0.062 * * [simplify]: iteration 1 : 43 enodes (cost 9 ) 0.064 * * [simplify]: iteration 2 : 93 enodes (cost 9 ) 0.067 * * [simplify]: iteration 3 : 174 enodes (cost 9 ) 0.072 * * [simplify]: iteration 4 : 269 enodes (cost 9 ) 0.076 * * [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)) 0.082 * * [progress]: iteration 1 / 4 0.082 * * * [progress]: picking best candidate 0.084 * * * * [pick]: Picked # 0.084 * * * [progress]: localizing error 0.095 * * * [progress]: generating rewritten candidates 0.096 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.107 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.114 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.126 * * * [progress]: generating series expansions 0.126 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.127 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in (x) around 0 0.127 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.127 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.127 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 0.127 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.127 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.127 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.127 * [taylor]: Taking taylor expansion of 0.5 in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.132 * [taylor]: Taking taylor expansion of (sin x) in x 0.132 * [taylor]: Taking taylor expansion of x in x 0.133 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.133 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.133 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 0.133 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.133 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.133 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.133 * [taylor]: Taking taylor expansion of 0.5 in x 0.133 * [taylor]: Taking taylor expansion of x in x 0.136 * [taylor]: Taking taylor expansion of (sin x) in x 0.136 * [taylor]: Taking taylor expansion of x in x 0.176 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in (x) around 0 0.176 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 0.176 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.176 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 0.176 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.176 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.176 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.177 * [taylor]: Taking taylor expansion of 0.5 in x 0.177 * [taylor]: Taking taylor expansion of x in x 0.177 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.177 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.177 * [taylor]: Taking taylor expansion of x in x 0.177 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 0.177 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.177 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 0.177 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.178 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.178 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.178 * [taylor]: Taking taylor expansion of 0.5 in x 0.178 * [taylor]: Taking taylor expansion of x in x 0.178 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.178 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.178 * [taylor]: Taking taylor expansion of x in x 0.192 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in (x) around 0 0.192 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.192 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.192 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 0.192 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.192 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.192 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.192 * [taylor]: Taking taylor expansion of -0.5 in x 0.192 * [taylor]: Taking taylor expansion of x in x 0.192 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.192 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.192 * [taylor]: Taking taylor expansion of -1 in x 0.192 * [taylor]: Taking taylor expansion of x in x 0.193 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.193 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.193 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 0.193 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.193 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.193 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.193 * [taylor]: Taking taylor expansion of -0.5 in x 0.193 * [taylor]: Taking taylor expansion of x in x 0.194 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.194 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.194 * [taylor]: Taking taylor expansion of -1 in x 0.194 * [taylor]: Taking taylor expansion of x in x 0.207 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.207 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in (x) around 0 0.207 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 0.207 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.207 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.207 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.207 * [taylor]: Taking taylor expansion of 0.5 in x 0.208 * [taylor]: Taking taylor expansion of x in x 0.209 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 0.209 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.209 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.209 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.209 * [taylor]: Taking taylor expansion of 0.5 in x 0.209 * [taylor]: Taking taylor expansion of x in x 0.229 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in (x) around 0 0.230 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 0.230 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.230 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.230 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.230 * [taylor]: Taking taylor expansion of 0.5 in x 0.230 * [taylor]: Taking taylor expansion of x in x 0.230 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 0.230 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.230 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.230 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.230 * [taylor]: Taking taylor expansion of 0.5 in x 0.230 * [taylor]: Taking taylor expansion of x in x 0.236 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in (x) around 0 0.236 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 0.236 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.236 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.236 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.236 * [taylor]: Taking taylor expansion of -0.5 in x 0.236 * [taylor]: Taking taylor expansion of x in x 0.237 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 0.237 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.237 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.237 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.237 * [taylor]: Taking taylor expansion of -0.5 in x 0.237 * [taylor]: Taking taylor expansion of x in x 0.246 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.246 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (* 0.5 x)) 2)) in (x) around 0 0.247 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (* 0.5 x)) 2)) in x 0.247 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.247 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) 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 0.249 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (* 0.5 x)) 2)) in x 0.249 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.249 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.249 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.249 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.249 * [taylor]: Taking taylor expansion of 0.5 in x 0.249 * [taylor]: Taking taylor expansion of x in x 0.277 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ 0.5 x)) 2)) in (x) around 0 0.277 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ 0.5 x)) 2)) in x 0.277 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.277 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.277 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.277 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.277 * [taylor]: Taking taylor expansion of 0.5 in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.277 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ 0.5 x)) 2)) in x 0.277 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.277 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.277 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.277 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.277 * [taylor]: Taking taylor expansion of 0.5 in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.289 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ -0.5 x)) 2)) in (x) around 0 0.289 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ -0.5 x)) 2)) in x 0.289 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.289 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.289 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.289 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.289 * [taylor]: Taking taylor expansion of -0.5 in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.289 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ -0.5 x)) 2)) in x 0.289 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.289 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.289 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.289 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.289 * [taylor]: Taking taylor expansion of -0.5 in x 0.290 * [taylor]: Taking taylor expansion of x in x 0.301 * * * [progress]: simplifying candidates 0.303 * [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)) 0.311 * * [simplify]: iteration 0 : 412 enodes (cost 862 ) 0.323 * * [simplify]: iteration 1 : 2127 enodes (cost 656 ) 0.366 * * [simplify]: iteration 2 : 5001 enodes (cost 637 ) 0.371 * [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)) 0.371 * * * [progress]: adding candidates to table 0.586 * * [progress]: iteration 2 / 4 0.586 * * * [progress]: picking best candidate 0.622 * * * * [pick]: Picked # 0.622 * * * [progress]: localizing error 0.635 * * * [progress]: generating rewritten candidates 0.636 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.642 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.647 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.661 * * * [progress]: generating series expansions 0.661 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.662 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in (x) around 0 0.662 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 0.662 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.662 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.662 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.662 * [taylor]: Taking taylor expansion of 0.5 in x 0.662 * [taylor]: Taking taylor expansion of x in x 0.664 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 0.664 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.664 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.664 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.664 * [taylor]: Taking taylor expansion of 0.5 in x 0.664 * [taylor]: Taking taylor expansion of x in x 0.690 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in (x) around 0 0.690 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 0.690 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.690 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.690 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.690 * [taylor]: Taking taylor expansion of 0.5 in x 0.690 * [taylor]: Taking taylor expansion of x in x 0.691 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 0.691 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.691 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.691 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.691 * [taylor]: Taking taylor expansion of 0.5 in x 0.691 * [taylor]: Taking taylor expansion of x in x 0.697 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in (x) around 0 0.697 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 0.697 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.697 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.697 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.697 * [taylor]: Taking taylor expansion of -0.5 in x 0.697 * [taylor]: Taking taylor expansion of x in x 0.698 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 0.698 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.698 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.698 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.698 * [taylor]: Taking taylor expansion of -0.5 in x 0.698 * [taylor]: Taking taylor expansion of x in x 0.704 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.704 * [approximate]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in (x) around 0 0.704 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 0.704 * [taylor]: Taking taylor expansion of (sin x) in x 0.704 * [taylor]: Taking taylor expansion of x in x 0.704 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.704 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.704 * [taylor]: Taking taylor expansion of 0.5 in x 0.704 * [taylor]: Taking taylor expansion of x in x 0.708 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 0.708 * [taylor]: Taking taylor expansion of (sin x) in x 0.708 * [taylor]: Taking taylor expansion of x 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 0.737 * [approximate]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in (x) around 0 0.737 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 0.737 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.737 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.737 * [taylor]: Taking taylor expansion of x in x 0.738 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.738 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.738 * [taylor]: Taking taylor expansion of 0.5 in x 0.738 * [taylor]: Taking taylor expansion of x in x 0.738 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 0.738 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.738 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.738 * [taylor]: Taking taylor expansion of x in x 0.738 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.738 * [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 0.741 * [approximate]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in (x) around 0 0.741 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 0.741 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.741 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.741 * [taylor]: Taking taylor expansion of -1 in x 0.741 * [taylor]: Taking taylor expansion of x in x 0.741 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.741 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.741 * [taylor]: Taking taylor expansion of -0.5 in x 0.742 * [taylor]: Taking taylor expansion of x in x 0.742 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 0.742 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.742 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.742 * [taylor]: Taking taylor expansion of -1 in x 0.742 * [taylor]: Taking taylor expansion of x in x 0.742 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.742 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.742 * [taylor]: Taking taylor expansion of -0.5 in x 0.742 * [taylor]: Taking taylor expansion of x in x 0.745 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.745 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in (x) around 0 0.745 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.745 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.745 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 0.745 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.745 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.745 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.745 * [taylor]: Taking taylor expansion of 0.5 in x 0.745 * [taylor]: Taking taylor expansion of x in x 0.749 * [taylor]: Taking taylor expansion of (sin x) in x 0.749 * [taylor]: Taking taylor expansion of x in x 0.750 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.750 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.750 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin 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 0.753 * [taylor]: Taking taylor expansion of (sin x) in x 0.753 * [taylor]: Taking taylor expansion of x in x 0.794 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in (x) around 0 0.794 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 0.794 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.794 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 0.794 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.794 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.794 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.794 * [taylor]: Taking taylor expansion of 0.5 in x 0.794 * [taylor]: Taking taylor expansion of x in x 0.795 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.795 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.795 * [taylor]: Taking taylor expansion of x in x 0.795 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 0.795 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.795 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 0.795 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.795 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.795 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.795 * [taylor]: Taking taylor expansion of 0.5 in x 0.795 * [taylor]: Taking taylor expansion of x in x 0.796 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.796 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.796 * [taylor]: Taking taylor expansion of x in x 0.810 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in (x) around 0 0.810 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.810 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.810 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 0.811 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.811 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.811 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.811 * [taylor]: Taking taylor expansion of -0.5 in x 0.811 * [taylor]: Taking taylor expansion of x in x 0.811 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.811 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.811 * [taylor]: Taking taylor expansion of -1 in x 0.811 * [taylor]: Taking taylor expansion of x in x 0.812 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.812 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.812 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 0.812 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.812 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.812 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.812 * [taylor]: Taking taylor expansion of -0.5 in x 0.812 * [taylor]: Taking taylor expansion of x in x 0.812 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.812 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.812 * [taylor]: Taking taylor expansion of -1 in x 0.812 * [taylor]: Taking taylor expansion of x in x 0.826 * * * [progress]: simplifying candidates 0.828 * [simplify]: Simplifying using # : (expm1 (* (/ 8.0 3.0) (sin (* x 0.5)))) (log1p (* (/ 8.0 3.0) (sin (* x 0.5)))) (* (/ 8.0 3.0) (sin (* x 0.5))) (+ (- (log 8.0) (log 3.0)) (log (sin (* x 0.5)))) (+ (log (/ 8.0 3.0)) (log (sin (* x 0.5)))) (log (* (/ 8.0 3.0) (sin (* x 0.5)))) (exp (* (/ 8.0 3.0) (sin (* x 0.5)))) (* (/ (* (* 8.0 8.0) 8.0) (* (* 3.0 3.0) 3.0)) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* (* (/ 8.0 3.0) (/ 8.0 3.0)) (/ 8.0 3.0)) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (cbrt (* (/ 8.0 3.0) (sin (* x 0.5)))) (cbrt (* (/ 8.0 3.0) (sin (* x 0.5))))) (cbrt (* (/ 8.0 3.0) (sin (* x 0.5)))) (* (* (* (/ 8.0 3.0) (sin (* x 0.5))) (* (/ 8.0 3.0) (sin (* x 0.5)))) (* (/ 8.0 3.0) (sin (* x 0.5)))) (sqrt (* (/ 8.0 3.0) (sin (* x 0.5)))) (sqrt (* (/ 8.0 3.0) (sin (* x 0.5)))) (* (sqrt (/ 8.0 3.0)) (sqrt (sin (* x 0.5)))) (* (sqrt (/ 8.0 3.0)) (sqrt (sin (* x 0.5)))) (* (/ (sqrt 8.0) (sqrt 3.0)) (sqrt (sin (* x 0.5)))) (* (/ (sqrt 8.0) (sqrt 3.0)) (sqrt (sin (* x 0.5)))) (* (/ 8.0 3.0) (* (cbrt (sin (* x 0.5))) (cbrt (sin (* x 0.5))))) (* (/ 8.0 3.0) (sqrt (sin (* x 0.5)))) (* (/ 8.0 3.0) 1) (* (cbrt (/ 8.0 3.0)) (sin (* x 0.5))) (* (sqrt (/ 8.0 3.0)) (sin (* x 0.5))) (* (/ (cbrt 8.0) (cbrt 3.0)) (sin (* x 0.5))) (* (/ (cbrt 8.0) (sqrt 3.0)) (sin (* x 0.5))) (* (/ (cbrt 8.0) 3.0) (sin (* x 0.5))) (* (/ (sqrt 8.0) (cbrt 3.0)) (sin (* x 0.5))) (* (/ (sqrt 8.0) (sqrt 3.0)) (sin (* x 0.5))) (* (/ (sqrt 8.0) 3.0) (sin (* x 0.5))) (* (/ 8.0 (cbrt 3.0)) (sin (* x 0.5))) (* (/ 8.0 (sqrt 3.0)) (sin (* x 0.5))) (* (/ 8.0 3.0) (sin (* x 0.5))) (* (/ 8.0 3.0) (sin (* x 0.5))) (* (/ 1 3.0) (sin (* x 0.5))) (* 8.0 (sin (* x 0.5))) (expm1 (/ (sin x) (sin (* 0.5 x)))) (log1p (/ (sin x) (sin (* 0.5 x)))) (- (log (sin x)) (log (sin (* 0.5 x)))) (log (/ (sin x) (sin (* 0.5 x)))) (exp (/ (sin x) (sin (* 0.5 x)))) (/ (* (* (sin x) (sin x)) (sin x)) (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x)))) (* (cbrt (/ (sin x) (sin (* 0.5 x)))) (cbrt (/ (sin x) (sin (* 0.5 x))))) (cbrt (/ (sin x) (sin (* 0.5 x)))) (* (* (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 x)))) (sqrt (/ (sin x) (sin (* 0.5 x)))) (sqrt (/ (sin x) (sin (* 0.5 x)))) (- (sin x)) (- (sin (* 0.5 x))) (/ (* (cbrt (sin x)) (cbrt 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(sin (* 0.5 x))))) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))))) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (sin (* 0.5 x))))) (/ (/ 8.0 3.0) (/ (* (cbrt (sin x)) (cbrt (sin x))) (sin (* x 0.5)))) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sqrt (sin x)) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))))) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x))))) (/ (/ 8.0 3.0) (/ (sqrt (sin x)) (sin (* x 0.5)))) (* (* (/ 8.0 3.0) (sin (* x 0.5))) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sqrt (sin (* 0.5 x)))) (* (/ 8.0 3.0) (sin (* x 0.5))) (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (sin x)) (/ (sin x) (pow (sin (* 0.5 x)) 2)) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (sin x)) (* (/ (sin x) (sin (* 0.5 x))) 3.0) (fma x 1.3333333333333333 (- (* 0.0006944444444444444 (pow x 5)) (* 0.05555555555555555 (pow x 3)))) (* 2.6666666666666665 (sin (* 0.5 x))) (* 2.6666666666666665 (sin (* 0.5 x))) (fma (pow x 4) 0.005208333333333334 (- 2.0 (* 0.25 (pow x 2)))) (/ (sin x) (sin (* x 0.5))) (/ (sin x) (sin (* x 0.5))) (fma 0.05555555555555555 (pow x 3) (fma 0.005555555555555554 (pow x 5) (* 0.6666666666666666 x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) 0.905 * * * [progress]: adding candidates to table 1.197 * * [progress]: iteration 3 / 4 1.197 * * * [progress]: picking best candidate 1.223 * * * * [pick]: Picked # 1.223 * * * [progress]: localizing error 1.234 * * * [progress]: generating rewritten candidates 1.234 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.238 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.248 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 1.252 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.264 * * * [progress]: generating series expansions 1.264 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.264 * [approximate]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in (x) around 0 1.264 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 1.264 * [taylor]: Taking taylor expansion of (sin x) in x 1.264 * [taylor]: Taking taylor expansion of x in x 1.264 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.264 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.264 * [taylor]: Taking taylor expansion of 0.5 in x 1.264 * [taylor]: Taking taylor expansion of x in x 1.268 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 1.268 * [taylor]: Taking taylor expansion of (sin x) in x 1.268 * [taylor]: Taking taylor expansion of x in x 1.268 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.268 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.268 * [taylor]: Taking taylor expansion of 0.5 in x 1.268 * [taylor]: Taking taylor expansion of x in x 1.302 * [approximate]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in (x) around 0 1.302 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 1.302 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.302 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.302 * [taylor]: Taking taylor expansion of x in x 1.303 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.303 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.303 * [taylor]: Taking taylor expansion of 0.5 in x 1.303 * [taylor]: Taking taylor expansion of x in x 1.303 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 1.303 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.303 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.303 * [taylor]: Taking taylor expansion of x 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 1.306 * [approximate]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in (x) around 0 1.306 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 1.306 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.306 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.306 * [taylor]: Taking taylor expansion of -1 in x 1.306 * [taylor]: Taking taylor expansion of x in x 1.307 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.307 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.307 * [taylor]: Taking taylor expansion of -0.5 in x 1.307 * [taylor]: Taking taylor expansion of x in x 1.307 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 1.307 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.307 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.307 * [taylor]: Taking taylor expansion of -1 in x 1.307 * [taylor]: Taking taylor expansion of x in x 1.308 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.308 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.308 * [taylor]: Taking taylor expansion of -0.5 in x 1.308 * [taylor]: Taking taylor expansion of x in x 1.310 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.310 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in (x) around 0 1.310 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 1.310 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.310 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 1.310 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 1.310 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.310 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.310 * [taylor]: Taking taylor expansion of 0.5 in x 1.310 * [taylor]: Taking taylor expansion of x in x 1.313 * [taylor]: Taking taylor expansion of (sin x) in x 1.313 * [taylor]: Taking taylor expansion of x in x 1.314 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 1.314 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.314 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 1.314 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 1.314 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.314 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.314 * [taylor]: Taking taylor expansion of 0.5 in x 1.314 * [taylor]: Taking taylor expansion of x in x 1.317 * [taylor]: Taking taylor expansion of (sin x) in x 1.317 * [taylor]: Taking taylor expansion of x in x 1.354 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in (x) around 0 1.354 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 1.354 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.354 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 1.354 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) 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 1.354 * [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 x in x 1.355 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 1.355 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.355 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 1.355 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 1.355 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.355 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.355 * [taylor]: Taking taylor expansion of 0.5 in x 1.355 * [taylor]: Taking taylor expansion of x in x 1.355 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.355 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.355 * [taylor]: Taking taylor expansion of x in x 1.373 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in (x) around 0 1.373 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 1.373 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.373 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 1.373 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 1.373 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.373 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.373 * [taylor]: Taking taylor expansion of -0.5 in x 1.373 * [taylor]: Taking taylor expansion of x in x 1.373 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.373 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.373 * [taylor]: Taking taylor expansion of -1 in x 1.373 * [taylor]: Taking taylor expansion of x in x 1.374 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 1.374 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.374 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 1.374 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 1.374 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.374 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.374 * [taylor]: Taking taylor expansion of -0.5 in x 1.374 * [taylor]: Taking taylor expansion of x in x 1.375 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.375 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.375 * [taylor]: Taking taylor expansion of -1 in x 1.375 * [taylor]: Taking taylor expansion of x in x 1.388 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 1.388 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (sin (* 0.5 x))) in (x) around 0 1.388 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (* 0.5 x))) in x 1.388 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.388 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.388 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.388 * [taylor]: Taking taylor expansion of 0.5 in x 1.388 * [taylor]: Taking taylor expansion of x in x 1.389 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (* 0.5 x))) in x 1.389 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.389 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.389 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.389 * [taylor]: Taking taylor expansion of 0.5 in x 1.389 * [taylor]: Taking taylor expansion of x in x 1.410 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ 0.5 x))) in (x) around 0 1.410 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ 0.5 x))) in x 1.410 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.410 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.410 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.410 * [taylor]: Taking taylor expansion of 0.5 in x 1.410 * [taylor]: Taking taylor expansion of x in x 1.411 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ 0.5 x))) in x 1.411 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.411 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.411 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.411 * [taylor]: Taking taylor expansion of 0.5 in x 1.411 * [taylor]: Taking taylor expansion of x in x 1.417 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ -0.5 x))) in (x) around 0 1.417 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ -0.5 x))) in x 1.417 * [taylor]: Taking taylor expansion of 0.3333333333333333 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 1.417 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ -0.5 x))) in x 1.417 * [taylor]: Taking taylor expansion of 0.3333333333333333 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 1.423 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.424 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in (x) around 0 1.424 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 1.424 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.424 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.424 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.424 * [taylor]: Taking taylor expansion of 0.5 in x 1.424 * [taylor]: Taking taylor expansion of x in x 1.425 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 1.425 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.425 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.425 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.425 * [taylor]: Taking taylor expansion of 0.5 in x 1.425 * [taylor]: Taking taylor expansion of x in x 1.449 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in (x) around 0 1.449 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 1.449 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.449 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.449 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.449 * [taylor]: Taking taylor expansion of 0.5 in x 1.449 * [taylor]: Taking taylor expansion of x in x 1.449 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 1.449 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.449 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.449 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.449 * [taylor]: Taking taylor expansion of 0.5 in x 1.449 * [taylor]: Taking taylor expansion of x in x 1.455 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in (x) around 0 1.455 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 1.455 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.455 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.455 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.455 * [taylor]: Taking taylor expansion of -0.5 in x 1.455 * [taylor]: Taking taylor expansion of x in x 1.456 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 1.456 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.456 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.456 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.456 * [taylor]: Taking taylor expansion of -0.5 in x 1.456 * [taylor]: Taking taylor expansion of x in x 1.462 * * * [progress]: simplifying candidates 1.464 * [simplify]: Simplifying using # : (expm1 (/ (sin x) (sin (* 0.5 x)))) (log1p (/ (sin x) (sin (* 0.5 x)))) (- (log (sin x)) (log (sin (* 0.5 x)))) (log (/ (sin x) (sin (* 0.5 x)))) (exp (/ (sin x) (sin (* 0.5 x)))) (/ (* (* (sin x) (sin x)) (sin x)) (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x)))) (* (cbrt (/ (sin x) (sin (* 0.5 x)))) (cbrt (/ (sin x) (sin (* 0.5 x))))) (cbrt (/ (sin x) (sin (* 0.5 x)))) (* (* (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 x)))) (sqrt (/ (sin x) (sin (* 0.5 x)))) (sqrt (/ (sin x) (sin (* 0.5 x)))) (- (sin x)) (- (sin (* 0.5 x))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (cbrt (sin x)) (cbrt (sin (* 0.5 x)))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (sin (* 0.5 x)))) (/ (cbrt (sin x)) (sqrt (sin (* 0.5 x)))) (/ (* (cbrt (sin x)) (cbrt (sin x))) 1) (/ (cbrt (sin x)) (sin (* 0.5 x))) (/ (sqrt (sin x)) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (sqrt (sin x)) (cbrt (sin (* 0.5 x)))) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (/ (sqrt (sin x)) 1) (/ (sqrt (sin x)) (sin (* 0.5 x))) (/ 1 (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (sin x) (cbrt (sin (* 0.5 x)))) (/ 1 (sqrt (sin (* 0.5 x)))) (/ (sin x) (sqrt (sin (* 0.5 x)))) (/ 1 1) (/ (sin x) (sin (* 0.5 x))) (/ 1 (sin (* 0.5 x))) (/ (sin (* 0.5 x)) (sin x)) (/ (sin x) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (sin x) (sqrt (sin (* 0.5 x)))) (/ (sin x) 1) (/ (sin (* 0.5 x)) (cbrt (sin x))) (/ (sin (* 0.5 x)) (sqrt (sin x))) (/ (sin (* 0.5 x)) (sin x)) (expm1 (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin x) (sin (* 0.5 x))))) (log1p (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin x) (sin (* 0.5 x))))) (- (+ (log 8.0) (- (log (sin (* 0.5 x))) (log 3.0))) (- (log (sin x)) (log (sin (* 0.5 x))))) (- (+ (log 8.0) (- (log (sin (* 0.5 x))) (log 3.0))) (log (/ (sin x) (sin (* 0.5 x))))) (- (+ (log 8.0) (log (/ (sin (* 0.5 x)) 3.0))) (- (log (sin x)) (log (sin (* 0.5 x))))) (- (+ (log 8.0) (log (/ (sin (* 0.5 x)) 3.0))) (log (/ (sin x) (sin (* 0.5 x))))) (- (log (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (- (log (sin x)) (log (sin (* 0.5 x))))) (- (log (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (log (/ (sin x) (sin (* 0.5 x))))) (log (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin x) (sin (* 0.5 x))))) (exp (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin x) (sin (* 0.5 x))))) (/ (* (* (* 8.0 8.0) 8.0) (/ (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x))) (* (* 3.0 3.0) 3.0))) (/ (* (* (sin x) (sin x)) (sin x)) (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x))))) (/ (* (* (* 8.0 8.0) 8.0) (/ (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x))) (* (* 3.0 3.0) 3.0))) (* (* (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 x))))) (/ (* (* (* 8.0 8.0) 8.0) (* (* (/ (sin (* 0.5 x)) 3.0) (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) 3.0))) (/ (* (* (sin x) (sin x)) (sin x)) (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x))))) (/ (* (* (* 8.0 8.0) 8.0) (* (* (/ (sin (* 0.5 x)) 3.0) (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) 3.0))) (* (* (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 x))))) (/ (* (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (/ (* (* (sin x) (sin x)) (sin x)) (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x))))) (/ (* (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (* (* (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 x))))) (* (cbrt (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin x) (sin (* 0.5 x))))) (cbrt (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin x) (sin (* 0.5 x)))))) (cbrt (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin x) (sin (* 0.5 x))))) (* (* (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin x) (sin (* 0.5 x)))) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin x) (sin (* 0.5 x))))) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin x) (sin (* 0.5 x))))) (sqrt (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin x) (sin (* 0.5 x))))) (sqrt (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin x) (sin (* 0.5 x))))) (- (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (- (/ (sin x) (sin (* 0.5 x)))) (/ 8.0 (* (cbrt (/ (sin x) (sin (* 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(cbrt 3.0))) (/ (sqrt (sin (* 0.5 x))) (cbrt 3.0)) (/ (sqrt (sin (* 0.5 x))) (sqrt 3.0)) (/ (sqrt (sin (* 0.5 x))) (sqrt 3.0)) (sqrt (sin (* 0.5 x))) (/ (sqrt (sin (* 0.5 x))) 3.0) (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (sin (* 0.5 x)) (cbrt 3.0)) (/ 1 (sqrt 3.0)) (/ (sin (* 0.5 x)) (sqrt 3.0)) 1 (/ (sin (* 0.5 x)) 3.0) (/ 1 3.0) (/ 3.0 (sin (* 0.5 x))) (/ (sin (* 0.5 x)) (* (cbrt 3.0) (cbrt 3.0))) (/ (sin (* 0.5 x)) (sqrt 3.0)) (sin (* 0.5 x)) (/ 3.0 (cbrt (sin (* 0.5 x)))) (/ 3.0 (sqrt (sin (* 0.5 x)))) (/ 3.0 (sin (* 0.5 x))) (expm1 (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (log1p (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (log (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (log (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (log (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (exp (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (pow (* 8.0 (/ (sin (* 0.5 x)) 3.0)) 3) (pow (* 8.0 (/ (sin (* 0.5 x)) 3.0)) 3) (* (cbrt (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (cbrt (* 8.0 (/ (sin (* 0.5 x)) 3.0)))) (cbrt (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (pow (* 8.0 (/ (sin (* 0.5 x)) 3.0)) 3) (sqrt (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (sqrt (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (* (sqrt 8.0) (sqrt (/ (sin (* 0.5 x)) 3.0))) (* (sqrt 8.0) (sqrt (/ (sin (* 0.5 x)) 3.0))) (* (sqrt 8.0) (/ (sqrt (sin (* 0.5 x))) (sqrt 3.0))) (* (sqrt 8.0) (/ (sqrt (sin (* 0.5 x))) (sqrt 3.0))) (* 8.0 (* (cbrt (/ (sin (* 0.5 x)) 3.0)) (cbrt (/ (sin (* 0.5 x)) 3.0)))) (* 8.0 (sqrt (/ (sin (* 0.5 x)) 3.0))) (* 8.0 (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (* (cbrt 3.0) (cbrt 3.0)))) (* 8.0 (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (sqrt 3.0))) (* (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) 8.0) (* 8.0 (/ (sqrt (sin (* 0.5 x))) (* (cbrt 3.0) (cbrt 3.0)))) (* 8.0 (/ (sqrt (sin (* 0.5 x))) (sqrt 3.0))) (* (sqrt (sin (* 0.5 x))) 8.0) (/ 8.0 (* (cbrt 3.0) (cbrt 3.0))) (/ 8.0 (sqrt 3.0)) 8.0 8.0 (* 8.0 (sin (* 0.5 x))) (* (cbrt 8.0) (/ (sin (* 0.5 x)) 3.0)) (* (sqrt 8.0) (/ (sin (* 0.5 x)) 3.0)) (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (* 8.0 (sin (* 0.5 x))) (fma (pow x 4) 0.005208333333333334 (- 2.0 (* 0.25 (pow x 2)))) (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x))) (fma 0.05555555555555555 (pow x 3) (fma 0.005555555555555554 (pow x 5) (* 0.6666666666666666 x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (fma x 0.16666666666666666 (- (* 8.680555555555555e-05 (pow x 5)) (* 0.006944444444444444 (pow x 3)))) (* 0.3333333333333333 (sin (* 0.5 x))) (* 0.3333333333333333 (sin (* 0.5 x))) (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))) 1.548 * * * [progress]: adding candidates to table 1.858 * * [progress]: iteration 4 / 4 1.858 * * * [progress]: picking best candidate 1.884 * * * * [pick]: Picked # 1.884 * * * [progress]: localizing error 1.897 * * * [progress]: generating rewritten candidates 1.897 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.905 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.917 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 1.921 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 1.930 * * * [progress]: generating series expansions 1.930 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.931 * [approximate]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in (x) around 0 1.931 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 1.931 * [taylor]: Taking taylor expansion of (sin x) in x 1.931 * [taylor]: Taking taylor expansion of x in x 1.931 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.931 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.931 * [taylor]: Taking taylor expansion of 0.5 in x 1.931 * [taylor]: Taking taylor expansion of x in x 1.935 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 1.935 * [taylor]: Taking taylor expansion of (sin x) in x 1.935 * [taylor]: Taking taylor expansion of x in x 1.935 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.935 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.935 * [taylor]: Taking taylor expansion of 0.5 in x 1.935 * [taylor]: Taking taylor expansion of x in x 1.965 * [approximate]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in (x) around 0 1.965 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 1.965 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.965 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.965 * [taylor]: Taking taylor expansion of x in x 1.966 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.966 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.966 * [taylor]: Taking taylor expansion of 0.5 in x 1.966 * [taylor]: Taking taylor expansion of x in x 1.966 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 1.966 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.966 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.966 * [taylor]: Taking taylor expansion of x in x 1.966 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.967 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.967 * [taylor]: Taking taylor expansion of 0.5 in x 1.967 * [taylor]: Taking taylor expansion of x in x 1.969 * [approximate]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in (x) around 0 1.969 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 1.969 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.969 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.969 * [taylor]: Taking taylor expansion of -1 in x 1.969 * [taylor]: Taking taylor expansion of x in x 1.970 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.970 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.970 * [taylor]: Taking taylor expansion of -0.5 in x 1.970 * [taylor]: Taking taylor expansion of x in x 1.970 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 1.970 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.970 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.970 * [taylor]: Taking taylor expansion of -1 in x 1.970 * [taylor]: Taking taylor expansion of x in x 1.971 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.971 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.971 * [taylor]: Taking taylor expansion of -0.5 in x 1.971 * [taylor]: Taking taylor expansion of x in x 1.978 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.978 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in (x) around 0 1.978 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 1.978 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.978 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 1.978 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 1.978 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.978 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.978 * [taylor]: Taking taylor expansion of 0.5 in x 1.978 * [taylor]: Taking taylor expansion of x in x 1.982 * [taylor]: Taking taylor expansion of (sin x) in x 1.982 * [taylor]: Taking taylor expansion of x in x 1.983 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 1.983 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.983 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 1.983 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 1.983 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.983 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.983 * [taylor]: Taking taylor expansion of 0.5 in x 1.983 * [taylor]: Taking taylor expansion of x in x 1.986 * [taylor]: Taking taylor expansion of (sin x) in x 1.986 * [taylor]: Taking taylor expansion of x in x 2.024 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in (x) around 0 2.024 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 2.024 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 2.024 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 2.024 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 2.024 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.024 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.024 * [taylor]: Taking taylor expansion of 0.5 in x 2.024 * [taylor]: Taking taylor expansion of x in x 2.024 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.024 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.024 * [taylor]: Taking taylor expansion of x in x 2.025 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 2.025 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 2.025 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 2.025 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 2.025 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.025 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.025 * [taylor]: Taking taylor expansion of 0.5 in x 2.025 * [taylor]: Taking taylor expansion of x in x 2.025 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.025 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.025 * [taylor]: Taking taylor expansion of x in x 2.040 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in (x) around 0 2.040 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 2.040 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 2.040 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 2.040 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) 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 (sin (/ -1 x)) in x 2.040 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.040 * [taylor]: Taking taylor expansion of -1 in x 2.040 * [taylor]: Taking taylor expansion of x in x 2.041 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 2.041 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 2.041 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 2.041 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 2.041 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.041 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.041 * [taylor]: Taking taylor expansion of -0.5 in x 2.041 * [taylor]: Taking taylor expansion of x in x 2.041 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.041 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.041 * [taylor]: Taking taylor expansion of -1 in x 2.041 * [taylor]: Taking taylor expansion of x in x 2.055 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 2.056 * [approximate]: Taking taylor expansion of (/ 1 (sin (* 0.5 x))) in (x) around 0 2.056 * [taylor]: Taking taylor expansion of (/ 1 (sin (* 0.5 x))) in x 2.056 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 2.056 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 2.056 * [taylor]: Taking taylor expansion of 0.5 in x 2.056 * [taylor]: Taking taylor expansion of x in x 2.059 * [taylor]: Taking taylor expansion of (/ 1 (sin (* 0.5 x))) in x 2.059 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 2.059 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 2.059 * [taylor]: Taking taylor expansion of 0.5 in x 2.059 * [taylor]: Taking taylor expansion of x in x 2.085 * [approximate]: Taking taylor expansion of (/ 1 (sin (/ 0.5 x))) in (x) around 0 2.085 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ 0.5 x))) in x 2.085 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.085 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.085 * [taylor]: Taking taylor expansion of 0.5 in x 2.085 * [taylor]: Taking taylor expansion of x in x 2.086 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ 0.5 x))) in x 2.086 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.086 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.086 * [taylor]: Taking taylor expansion of 0.5 in x 2.086 * [taylor]: Taking taylor expansion of x in x 2.088 * [approximate]: Taking taylor expansion of (/ 1 (sin (/ -0.5 x))) in (x) around 0 2.088 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ -0.5 x))) in x 2.088 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.088 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.088 * [taylor]: Taking taylor expansion of -0.5 in x 2.088 * [taylor]: Taking taylor expansion of x in x 2.088 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ -0.5 x))) in x 2.088 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.088 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.088 * [taylor]: Taking taylor expansion of -0.5 in x 2.088 * [taylor]: Taking taylor expansion of x in x 2.090 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 2.090 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (sin (* 0.5 x))) in (x) around 0 2.090 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (* 0.5 x))) in x 2.090 * [taylor]: Taking taylor expansion of 0.3333333333333333 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 2.090 * [taylor]: Taking taylor expansion of x in x 2.092 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (* 0.5 x))) in x 2.092 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.092 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 2.092 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 2.092 * [taylor]: Taking taylor expansion of 0.5 in x 2.092 * [taylor]: Taking taylor expansion of x in x 2.114 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ 0.5 x))) in (x) around 0 2.114 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ 0.5 x))) in x 2.114 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.114 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.114 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.114 * [taylor]: Taking taylor expansion of 0.5 in x 2.114 * [taylor]: Taking taylor expansion of x in x 2.115 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ 0.5 x))) in x 2.115 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.115 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.115 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.115 * [taylor]: Taking taylor expansion of 0.5 in x 2.115 * [taylor]: Taking taylor expansion of x in x 2.121 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ -0.5 x))) in (x) around 0 2.121 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ -0.5 x))) in x 2.121 * [taylor]: Taking taylor expansion of 0.3333333333333333 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 2.122 * [taylor]: Taking taylor expansion of -0.5 in x 2.122 * [taylor]: Taking taylor expansion of x in x 2.122 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ -0.5 x))) in x 2.122 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.122 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.122 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.122 * [taylor]: Taking taylor expansion of -0.5 in x 2.122 * [taylor]: Taking taylor expansion of x in x 2.128 * * * [progress]: simplifying candidates 2.131 * [simplify]: Simplifying using # : (expm1 (* (sin x) (/ 1 (sin (* 0.5 x))))) (log1p (* (sin x) (/ 1 (sin (* 0.5 x))))) (* (sin x) (/ 1 (sin (* 0.5 x)))) (+ (log (sin x)) (- (log (sin (* 0.5 x))))) (+ (log (sin x)) (- 0 (log (sin (* 0.5 x))))) (+ (log (sin x)) (- (log 1) (log (sin (* 0.5 x))))) (+ (log (sin x)) (log (/ 1 (sin (* 0.5 x))))) (log (* (sin x) (/ 1 (sin (* 0.5 x))))) (exp (* (sin x) (/ 1 (sin (* 0.5 x))))) (* (* (* (sin x) (sin x)) (sin x)) (/ (* (* 1 1) 1) (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x))))) (* (* (* (sin x) (sin x)) (sin x)) (* (* (/ 1 (sin (* 0.5 x))) (/ 1 (sin (* 0.5 x)))) (/ 1 (sin (* 0.5 x))))) (* (cbrt (* (sin x) (/ 1 (sin (* 0.5 x))))) (cbrt (* (sin x) (/ 1 (sin (* 0.5 x)))))) (cbrt (* (sin x) (/ 1 (sin (* 0.5 x))))) (* (* (* (sin x) (/ 1 (sin (* 0.5 x)))) (* (sin x) (/ 1 (sin (* 0.5 x))))) (* (sin x) (/ 1 (sin (* 0.5 x))))) (sqrt (* (sin x) (/ 1 (sin (* 0.5 x))))) (sqrt (* (sin x) (/ 1 (sin (* 0.5 x))))) (* (sqrt (sin x)) (sqrt (/ 1 (sin (* 0.5 x))))) (* (sqrt (sin x)) (sqrt (/ 1 (sin (* 0.5 x))))) (* (sqrt (sin x)) (/ (sqrt 1) (sqrt (sin (* 0.5 x))))) (* (sqrt (sin x)) (/ (sqrt 1) (sqrt (sin (* 0.5 x))))) (* (sqrt (sin x)) (/ 1 (sqrt (sin (* 0.5 x))))) (* (sqrt (sin x)) (/ 1 (sqrt (sin (* 0.5 x))))) (* (sin x) (* (cbrt (/ 1 (sin (* 0.5 x)))) (cbrt (/ 1 (sin (* 0.5 x)))))) (* (sin x) (sqrt (/ 1 (sin (* 0.5 x))))) (* (sin x) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))))) (* (sin x) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sin (* 0.5 x))))) (* (sin x) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (sin x) (/ (sqrt 1) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))))) (* (sin x) (/ (sqrt 1) (sqrt (sin (* 0.5 x))))) (* (sin x) (/ (sqrt 1) 1)) (* (sin x) (/ 1 (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))))) (* (sin x) (/ 1 (sqrt (sin (* 0.5 x))))) (* (sin x) (/ 1 1)) (* (sin x) 1) (* (sin x) 1) (* (cbrt (sin x)) (/ 1 (sin (* 0.5 x)))) (* (sqrt (sin x)) (/ 1 (sin (* 0.5 x)))) (* (sin x) (/ 1 (sin (* 0.5 x)))) (* (sin x) 1) (expm1 (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (* (sin x) (/ 1 (sin (* 0.5 x)))))) (log1p (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (* (sin x) (/ 1 (sin (* 0.5 x)))))) (- (+ (log 8.0) (- (log (sin (* 0.5 x))) (log 3.0))) (+ (log (sin x)) (- (log (sin (* 0.5 x)))))) (- (+ (log 8.0) (- (log (sin (* 0.5 x))) (log 3.0))) (+ (log (sin x)) (- 0 (log (sin (* 0.5 x)))))) (- (+ (log 8.0) (- (log (sin (* 0.5 x))) (log 3.0))) (+ (log (sin x)) (- (log 1) (log (sin (* 0.5 x)))))) (- (+ (log 8.0) (- (log (sin (* 0.5 x))) (log 3.0))) (+ (log (sin x)) (log (/ 1 (sin (* 0.5 x)))))) (- (+ (log 8.0) (- (log (sin (* 0.5 x))) (log 3.0))) (log (* (sin x) (/ 1 (sin (* 0.5 x)))))) (- (+ (log 8.0) (log (/ (sin (* 0.5 x)) 3.0))) (+ (log (sin x)) (- (log (sin (* 0.5 x)))))) (- (+ (log 8.0) (log (/ (sin (* 0.5 x)) 3.0))) (+ (log (sin x)) (- 0 (log (sin (* 0.5 x)))))) (- (+ (log 8.0) (log (/ (sin (* 0.5 x)) 3.0))) (+ (log (sin x)) (- (log 1) (log (sin (* 0.5 x)))))) (- (+ (log 8.0) (log (/ (sin (* 0.5 x)) 3.0))) (+ (log (sin x)) (log (/ 1 (sin (* 0.5 x)))))) (- (+ (log 8.0) (log (/ (sin (* 0.5 x)) 3.0))) (log (* (sin x) (/ 1 (sin (* 0.5 x)))))) (- (log (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (+ (log (sin x)) (- (log (sin (* 0.5 x)))))) (- (log (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (+ (log (sin x)) (- 0 (log (sin (* 0.5 x)))))) (- (log (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (+ (log (sin x)) (- (log 1) (log (sin (* 0.5 x)))))) (- (log (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (+ (log (sin x)) (log (/ 1 (sin (* 0.5 x)))))) (- (log (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (log (* (sin x) (/ 1 (sin (* 0.5 x)))))) (log (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (* (sin x) (/ 1 (sin (* 0.5 x)))))) (exp (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (* (sin x) (/ 1 (sin (* 0.5 x)))))) (/ (* (* (* 8.0 8.0) 8.0) (/ (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x))) (* (* 3.0 3.0) 3.0))) (* (* (* (sin x) (sin x)) (sin x)) (/ (* (* 1 1) 1) (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x)))))) (/ (* (* (* 8.0 8.0) 8.0) (/ (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x))) (* (* 3.0 3.0) 3.0))) (* (* (* (sin x) (sin x)) (sin x)) (* (* (/ 1 (sin (* 0.5 x))) (/ 1 (sin (* 0.5 x)))) (/ 1 (sin (* 0.5 x)))))) (/ (* (* (* 8.0 8.0) 8.0) (/ (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x))) (* (* 3.0 3.0) 3.0))) (* (* (* (sin x) (/ 1 (sin (* 0.5 x)))) (* (sin x) (/ 1 (sin (* 0.5 x))))) (* (sin x) (/ 1 (sin (* 0.5 x)))))) (/ (* (* (* 8.0 8.0) 8.0) (* (* (/ (sin (* 0.5 x)) 3.0) (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) 3.0))) (* (* (* (sin x) (sin x)) (sin x)) (/ (* (* 1 1) 1) (* (* (sin (* 0.5 x)) (sin 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x) (* 0.08333333333333333 x))) (/ 1 (sin (* 0.5 x))) (/ 1 (sin (* 0.5 x))) (fma x 0.16666666666666666 (- (* 8.680555555555555e-05 (pow x 5)) (* 0.006944444444444444 (pow x 3)))) (* 0.3333333333333333 (sin (* 0.5 x))) (* 0.3333333333333333 (sin (* 0.5 x))) 2.219 * * * [progress]: adding candidates to table 2.469 * [progress]: [Phase 3 of 3] Extracting. 2.469 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 2.471 * * * [regime-changes]: Trying 2 branch expressions: ((/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x)) x) 2.471 * * * * [regimes]: Trying to branch on (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x)) from (# # # # # # # # #) 2.512 * * * * [regimes]: Trying to branch on (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x)) from (# #) 2.531 * * * * [regimes]: Trying to branch on x from (# # # # # # # # #) 2.565 * * * [regime]: Found split indices: #