17.089 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.075 * * * [progress]: [2/2] Setting up program. 0.078 * [progress]: [Phase 2 of 3] Improving. 0.079 * [simplify]: Simplifying using # : (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x)) 0.081 * * [simplify]: iteration 0 : 20 enodes (cost 9 ) 0.084 * * [simplify]: iteration 1 : 43 enodes (cost 9 ) 0.086 * * [simplify]: iteration 2 : 93 enodes (cost 9 ) 0.089 * * [simplify]: iteration 3 : 174 enodes (cost 9 ) 0.092 * * [simplify]: iteration 4 : 269 enodes (cost 9 ) 0.097 * * [simplify]: iteration 5 : 288 enodes (cost 9 ) 0.101 * * [simplify]: iteration 6 : 288 enodes (cost 9 ) 0.102 * [simplify]: Simplified to: (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x)) 0.102 * * [progress]: iteration 1 / 4 0.102 * * * [progress]: picking best candidate 0.104 * * * * [pick]: Picked # 0.104 * * * [progress]: localizing error 0.116 * * * [progress]: generating rewritten candidates 0.116 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.138 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.148 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.176 * * * [progress]: generating series expansions 0.176 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.177 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in (x) around 0 0.177 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.178 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.178 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 0.178 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.178 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.178 * [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 0.181 * [taylor]: Taking taylor expansion of (sin x) in x 0.181 * [taylor]: Taking taylor expansion of x in x 0.182 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.182 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.182 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 0.182 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.182 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.182 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.182 * [taylor]: Taking taylor expansion of 0.5 in x 0.182 * [taylor]: Taking taylor expansion of x in x 0.185 * [taylor]: Taking taylor expansion of (sin x) in x 0.185 * [taylor]: Taking taylor expansion of x in x 0.226 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in (x) around 0 0.226 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 0.226 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.226 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 0.226 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.226 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.226 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.226 * [taylor]: Taking taylor expansion of 0.5 in x 0.226 * [taylor]: Taking taylor expansion of x in x 0.226 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.226 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.226 * [taylor]: Taking taylor expansion of x in x 0.227 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 0.227 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.227 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 0.227 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.227 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.227 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.227 * [taylor]: Taking taylor expansion of 0.5 in x 0.227 * [taylor]: Taking taylor expansion of x in x 0.227 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.227 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.227 * [taylor]: Taking taylor expansion of x in x 0.241 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in (x) around 0 0.242 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.242 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.242 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 0.242 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.242 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.242 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.242 * [taylor]: Taking taylor expansion of -0.5 in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.242 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.242 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.242 * [taylor]: Taking taylor expansion of -1 in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.243 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.243 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.243 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 0.243 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.243 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.243 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.243 * [taylor]: Taking taylor expansion of -0.5 in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.243 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.243 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.243 * [taylor]: Taking taylor expansion of -1 in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.263 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.264 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in (x) around 0 0.264 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 0.264 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.264 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.264 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.264 * [taylor]: Taking taylor expansion of 0.5 in x 0.264 * [taylor]: Taking taylor expansion of x in x 0.265 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 0.265 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.265 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.265 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.265 * [taylor]: Taking taylor expansion of 0.5 in x 0.265 * [taylor]: Taking taylor expansion of x in x 0.287 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in (x) around 0 0.287 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 0.287 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.287 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.287 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.287 * [taylor]: Taking taylor expansion of 0.5 in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.287 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 0.287 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.287 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.287 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.287 * [taylor]: Taking taylor expansion of 0.5 in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.294 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in (x) around 0 0.294 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 0.294 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.294 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.294 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.294 * [taylor]: Taking taylor expansion of -0.5 in x 0.294 * [taylor]: Taking taylor expansion of x in x 0.294 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 0.294 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.294 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.294 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.294 * [taylor]: Taking taylor expansion of -0.5 in x 0.294 * [taylor]: Taking taylor expansion of x in x 0.301 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.301 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (* 0.5 x)) 2)) in (x) around 0 0.302 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (* 0.5 x)) 2)) in x 0.302 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.302 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.302 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.302 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.302 * [taylor]: Taking taylor expansion of 0.5 in x 0.302 * [taylor]: Taking taylor expansion of x in x 0.305 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (* 0.5 x)) 2)) in x 0.305 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.305 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.305 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.305 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.305 * [taylor]: Taking taylor expansion of 0.5 in x 0.305 * [taylor]: Taking taylor expansion of x in x 0.335 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ 0.5 x)) 2)) in (x) around 0 0.336 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ 0.5 x)) 2)) in x 0.336 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.336 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.336 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.336 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.336 * [taylor]: Taking taylor expansion of 0.5 in x 0.336 * [taylor]: Taking taylor expansion of x in x 0.336 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ 0.5 x)) 2)) in x 0.336 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.336 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.336 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.336 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.336 * [taylor]: Taking taylor expansion of 0.5 in x 0.336 * [taylor]: Taking taylor expansion of x in x 0.354 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ -0.5 x)) 2)) in (x) around 0 0.355 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ -0.5 x)) 2)) in x 0.355 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.355 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.355 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.355 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.355 * [taylor]: Taking taylor expansion of -0.5 in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.355 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ -0.5 x)) 2)) in x 0.355 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.355 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.355 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.355 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.355 * [taylor]: Taking taylor expansion of -0.5 in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.367 * * * [progress]: simplifying candidates 0.368 * [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)) 0.375 * * [simplify]: iteration 0 : 412 enodes (cost 862 ) 0.384 * * [simplify]: iteration 1 : 2127 enodes (cost 656 ) 0.423 * * [simplify]: iteration 2 : 5001 enodes (cost 637 ) 0.426 * [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)) 0.427 * * * [progress]: adding candidates to table 0.669 * * [progress]: iteration 2 / 4 0.670 * * * [progress]: picking best candidate 0.710 * * * * [pick]: Picked # 0.710 * * * [progress]: localizing error 0.724 * * * [progress]: generating rewritten candidates 0.724 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.735 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.739 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.754 * * * [progress]: generating series expansions 0.754 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.755 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in (x) around 0 0.755 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 0.755 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.755 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.755 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.755 * [taylor]: Taking taylor expansion of 0.5 in x 0.755 * [taylor]: Taking taylor expansion of x in x 0.756 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 0.757 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.757 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.757 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.757 * [taylor]: Taking taylor expansion of 0.5 in x 0.757 * [taylor]: Taking taylor expansion of x in x 0.786 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in (x) around 0 0.786 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 0.786 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.786 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.786 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.786 * [taylor]: Taking taylor expansion of 0.5 in x 0.786 * [taylor]: Taking taylor expansion of x in x 0.787 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 0.787 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.787 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.787 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.787 * [taylor]: Taking taylor expansion of 0.5 in x 0.787 * [taylor]: Taking taylor expansion of x in x 0.794 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in (x) around 0 0.794 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 0.794 * [taylor]: Taking taylor expansion of 2.6666666666666665 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 (* 2.6666666666666665 (sin (/ -0.5 x))) in x 0.795 * [taylor]: Taking taylor expansion of 2.6666666666666665 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 0.801 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.801 * [approximate]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in (x) around 0 0.802 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 0.802 * [taylor]: Taking taylor expansion of (sin x) in x 0.802 * [taylor]: Taking taylor expansion of x in x 0.802 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.802 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.802 * [taylor]: Taking taylor expansion of 0.5 in x 0.802 * [taylor]: Taking taylor expansion of x in x 0.805 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 0.805 * [taylor]: Taking taylor expansion of (sin x) in x 0.805 * [taylor]: Taking taylor expansion of x in x 0.805 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.805 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.805 * [taylor]: Taking taylor expansion of 0.5 in x 0.805 * [taylor]: Taking taylor expansion of x in x 0.837 * [approximate]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in (x) around 0 0.837 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 0.837 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.837 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.837 * [taylor]: Taking taylor expansion of x in x 0.837 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.837 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.837 * [taylor]: Taking taylor expansion of 0.5 in x 0.837 * [taylor]: Taking taylor expansion of x in x 0.838 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 0.838 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.838 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.838 * [taylor]: Taking taylor expansion of x in x 0.838 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.838 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.838 * [taylor]: Taking taylor expansion of 0.5 in x 0.838 * [taylor]: Taking taylor expansion of x in x 0.841 * [approximate]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in (x) around 0 0.841 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 0.841 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.841 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.841 * [taylor]: Taking taylor expansion of -1 in x 0.841 * [taylor]: Taking taylor expansion of x in x 0.841 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.841 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.841 * [taylor]: Taking taylor expansion of -0.5 in x 0.841 * [taylor]: Taking taylor expansion of x in x 0.842 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 0.842 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.842 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.842 * [taylor]: Taking taylor expansion of -1 in x 0.842 * [taylor]: Taking taylor expansion of x in x 0.842 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.842 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.842 * [taylor]: Taking taylor expansion of -0.5 in x 0.842 * [taylor]: Taking taylor expansion of x in x 0.845 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.846 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in (x) around 0 0.846 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.846 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.846 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 0.846 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.846 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.846 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.846 * [taylor]: Taking taylor expansion of 0.5 in x 0.846 * [taylor]: Taking taylor expansion of x in x 0.849 * [taylor]: Taking taylor expansion of (sin x) in x 0.849 * [taylor]: Taking taylor expansion of x in x 0.850 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.850 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.850 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 0.850 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.850 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.850 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.850 * [taylor]: Taking taylor expansion of 0.5 in x 0.850 * [taylor]: Taking taylor expansion of x in x 0.853 * [taylor]: Taking taylor expansion of (sin x) in x 0.853 * [taylor]: Taking taylor expansion of x in x 0.901 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in (x) around 0 0.901 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 0.901 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.901 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 0.901 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.901 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.901 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.901 * [taylor]: Taking taylor expansion of 0.5 in x 0.901 * [taylor]: Taking taylor expansion of x in x 0.901 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.901 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.901 * [taylor]: Taking taylor expansion of x in x 0.902 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 0.902 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.902 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 0.902 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.902 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.902 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.902 * [taylor]: Taking taylor expansion of 0.5 in x 0.902 * [taylor]: Taking taylor expansion of x in x 0.902 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.903 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.903 * [taylor]: Taking taylor expansion of x in x 0.917 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in (x) around 0 0.917 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.917 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.917 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 0.917 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.917 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.917 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.917 * [taylor]: Taking taylor expansion of -0.5 in x 0.917 * [taylor]: Taking taylor expansion of x in x 0.917 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.917 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.917 * [taylor]: Taking taylor expansion of -1 in x 0.917 * [taylor]: Taking taylor expansion of x in x 0.918 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.918 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.918 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 0.918 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.918 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.918 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.918 * [taylor]: Taking taylor expansion of -0.5 in x 0.918 * [taylor]: Taking taylor expansion of x in x 0.919 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.919 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.919 * [taylor]: Taking taylor expansion of -1 in x 0.919 * [taylor]: Taking taylor expansion of x in x 0.933 * * * [progress]: simplifying candidates 0.934 * [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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(/ (/ 8.0 3.0) (sin x)) (/ (sin (* x 0.5)) (/ 1 (sin (* 0.5 x)))) (/ 1 (/ (sin x) (sin (* 0.5 x)))) (/ (/ (sin x) (sin (* 0.5 x))) (* (/ 8.0 3.0) (sin (* x 0.5)))) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (* (cbrt (/ (sin x) (sin (* 0.5 x)))) (cbrt (/ (sin x) (sin (* 0.5 x)))))) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (sqrt (/ (sin x) (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) (sin (* x 0.5))) (/ (* (cbrt (sin x)) (cbrt (sin x))) 1)) (/ (* (/ 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) (sin (* x 0.5))) (/ (sqrt (sin x)) 1)) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ 1 (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))))) (/ (* (/ 8.0 3.0) (sin (* 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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))) 1.004 * * * [progress]: adding candidates to table 1.382 * * [progress]: iteration 3 / 4 1.382 * * * [progress]: picking best candidate 1.406 * * * * [pick]: Picked # 1.406 * * * [progress]: localizing error 1.421 * * * [progress]: generating rewritten candidates 1.421 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 1.425 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 1.435 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 1.449 * * * [progress]: generating series expansions 1.449 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 1.450 * [approximate]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in (x) around 0 1.450 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 1.450 * [taylor]: Taking taylor expansion of (sin x) in x 1.450 * [taylor]: Taking taylor expansion of x in x 1.450 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.450 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.450 * [taylor]: Taking taylor expansion of 0.5 in x 1.450 * [taylor]: Taking taylor expansion of x in x 1.454 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 1.454 * [taylor]: Taking taylor expansion of (sin x) in x 1.454 * [taylor]: Taking taylor expansion of x in x 1.454 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.454 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.454 * [taylor]: Taking taylor expansion of 0.5 in x 1.454 * [taylor]: Taking taylor expansion of x in x 1.491 * [approximate]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in (x) around 0 1.491 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 1.491 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.491 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.491 * [taylor]: Taking taylor expansion of x in x 1.492 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.492 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.492 * [taylor]: Taking taylor expansion of 0.5 in x 1.492 * [taylor]: Taking taylor expansion of x in x 1.492 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 1.492 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.492 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.492 * [taylor]: Taking taylor expansion of x in x 1.493 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.493 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.493 * [taylor]: Taking taylor expansion of 0.5 in x 1.493 * [taylor]: Taking taylor expansion of x in x 1.495 * [approximate]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in (x) around 0 1.495 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 1.495 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.495 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.495 * [taylor]: Taking taylor expansion of -1 in x 1.495 * [taylor]: Taking taylor expansion of x in x 1.496 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.496 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.496 * [taylor]: Taking taylor expansion of -0.5 in x 1.496 * [taylor]: Taking taylor expansion of x in x 1.496 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 1.496 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.496 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.496 * [taylor]: Taking taylor expansion of -1 in x 1.496 * [taylor]: Taking taylor expansion of x in x 1.497 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.497 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.497 * [taylor]: Taking taylor expansion of -0.5 in x 1.497 * [taylor]: Taking taylor expansion of x in x 1.499 * * * * [progress]: [ 2 / 3 ] generating series at (2) 1.499 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in (x) around 0 1.499 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 1.499 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.499 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 1.499 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 1.499 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.499 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.499 * [taylor]: Taking taylor expansion of 0.5 in x 1.499 * [taylor]: Taking taylor expansion of x in x 1.502 * [taylor]: Taking taylor expansion of (sin x) in x 1.502 * [taylor]: Taking taylor expansion of x in x 1.503 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 1.503 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.503 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 1.503 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 1.503 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.503 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.503 * [taylor]: Taking taylor expansion of 0.5 in x 1.503 * [taylor]: Taking taylor expansion of x in x 1.506 * [taylor]: Taking taylor expansion of (sin x) in x 1.506 * [taylor]: Taking taylor expansion of x in x 1.551 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in (x) around 0 1.551 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 1.551 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.551 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 1.551 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 1.551 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.551 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.551 * [taylor]: Taking taylor expansion of 0.5 in x 1.551 * [taylor]: Taking taylor expansion of x in x 1.551 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.551 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.551 * [taylor]: Taking taylor expansion of x in x 1.552 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 1.552 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.552 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 1.552 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 1.552 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.552 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.552 * [taylor]: Taking taylor expansion of 0.5 in x 1.552 * [taylor]: Taking taylor expansion of x in x 1.552 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.552 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.552 * [taylor]: Taking taylor expansion of x in x 1.567 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in (x) around 0 1.567 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 1.567 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.567 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 1.567 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 1.567 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.567 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.567 * [taylor]: Taking taylor expansion of -0.5 in x 1.567 * [taylor]: Taking taylor expansion of x in x 1.567 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.567 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.567 * [taylor]: Taking taylor expansion of -1 in x 1.567 * [taylor]: Taking taylor expansion of x in x 1.568 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 1.568 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.568 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 1.568 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 1.568 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.568 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.568 * [taylor]: Taking taylor expansion of -0.5 in x 1.568 * [taylor]: Taking taylor expansion of x in x 1.568 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.568 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.568 * [taylor]: Taking taylor expansion of -1 in x 1.568 * [taylor]: Taking taylor expansion of x in x 1.582 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 1.582 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in (x) around 0 1.582 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 1.582 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.582 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.582 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.582 * [taylor]: Taking taylor expansion of 0.5 in x 1.582 * [taylor]: Taking taylor expansion of x in x 1.583 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 1.584 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.584 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.584 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.584 * [taylor]: Taking taylor expansion of 0.5 in x 1.584 * [taylor]: Taking taylor expansion of x in x 1.605 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in (x) around 0 1.605 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 1.605 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.605 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.605 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.605 * [taylor]: Taking taylor expansion of 0.5 in x 1.605 * [taylor]: Taking taylor expansion of x in x 1.605 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 1.605 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.605 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.605 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.605 * [taylor]: Taking taylor expansion of 0.5 in x 1.605 * [taylor]: Taking taylor expansion of x in x 1.611 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in (x) around 0 1.611 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 1.611 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.611 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.611 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.611 * [taylor]: Taking taylor expansion of -0.5 in x 1.612 * [taylor]: Taking taylor expansion of x in x 1.612 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 1.612 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.612 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.612 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.612 * [taylor]: Taking taylor expansion of -0.5 in x 1.612 * [taylor]: Taking taylor expansion of x in x 1.618 * * * [progress]: simplifying candidates 1.622 * [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 (* x 0.5))) 3.0) (/ (sin x) (sin (* 0.5 x))))) (log1p (/ (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin x) (sin (* 0.5 x))))) (- (- (+ (log 8.0) (log (sin (* x 0.5)))) (log 3.0)) (- (log (sin x)) (log (sin (* 0.5 x))))) (- (- (+ (log 8.0) (log (sin (* x 0.5)))) (log 3.0)) (log (/ (sin x) (sin (* 0.5 x))))) (- (- (log (* 8.0 (sin (* x 0.5)))) (log 3.0)) (- (log (sin x)) (log (sin (* 0.5 x))))) (- (- (log (* 8.0 (sin (* x 0.5)))) (log 3.0)) (log (/ (sin x) (sin (* 0.5 x))))) (- (log (/ (* 8.0 (sin (* x 0.5))) 3.0)) (- (log (sin x)) (log (sin (* 0.5 x))))) (- (log (/ (* 8.0 (sin (* x 0.5))) 3.0)) (log (/ (sin x) (sin (* 0.5 x))))) (log (/ (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin x) (sin (* 0.5 x))))) (exp (/ (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin x) (sin (* 0.5 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 x) (sin x)) (sin x)) (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 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 x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 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 x) (sin x)) (sin x)) (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 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 x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 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 x) (sin x)) (sin x)) (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 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 x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 x))))) (* (cbrt (/ (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin x) (sin (* 0.5 x))))) (cbrt (/ (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin x) (sin (* 0.5 x)))))) (cbrt (/ (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin x) (sin (* 0.5 x))))) (* (* (/ (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin x) (sin (* 0.5 x)))) (/ (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin x) (sin (* 0.5 x))))) (/ (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin x) (sin (* 0.5 x))))) (sqrt (/ (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin x) (sin (* 0.5 x))))) (sqrt (/ (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin x) (sin (* 0.5 x))))) (- (/ (* 8.0 (sin (* x 0.5))) 3.0)) (- (/ (sin x) (sin (* 0.5 x)))) (/ (* (cbrt (/ (* 8.0 (sin (* x 0.5))) 3.0)) (cbrt (/ (* 8.0 (sin (* x 0.5))) 3.0))) (* (cbrt (/ (sin x) (sin (* 0.5 x)))) (cbrt (/ (sin x) (sin (* 0.5 x)))))) (/ (cbrt (/ (* 8.0 (sin (* x 0.5))) 3.0)) (cbrt (/ (sin x) (sin (* 0.5 x))))) (/ (* (cbrt (/ (* 8.0 (sin (* x 0.5))) 3.0)) (cbrt (/ (* 8.0 (sin (* x 0.5))) 3.0))) (sqrt (/ (sin x) (sin (* 0.5 x))))) (/ (cbrt (/ (* 8.0 (sin (* x 0.5))) 3.0)) (sqrt (/ (sin x) (sin (* 0.5 x))))) (/ (* (cbrt (/ (* 8.0 (sin (* x 0.5))) 3.0)) (cbrt (/ (* 8.0 (sin (* x 0.5))) 3.0))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))))) (/ (cbrt (/ (* 8.0 (sin (* x 0.5))) 3.0)) (/ (cbrt (sin x)) (cbrt (sin (* 0.5 x))))) (/ (* (cbrt (/ (* 8.0 (sin (* x 0.5))) 3.0)) (cbrt (/ (* 8.0 (sin (* x 0.5))) 3.0))) (/ (* (cbrt (sin x)) (cbrt 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x))))) (/ 8.0 (sqrt (sin x))) (/ (/ (sin (* x 0.5)) 3.0) (/ (sqrt (sin x)) (sin (* 0.5 x)))) (* 8.0 (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (/ (sin (* x 0.5)) 3.0) (/ (sin x) (cbrt (sin (* 0.5 x))))) (* 8.0 (sqrt (sin (* 0.5 x)))) (/ (/ (sin (* x 0.5)) 3.0) (/ (sin x) (sqrt (sin (* 0.5 x))))) 8.0 (/ (/ (sin (* x 0.5)) 3.0) (/ (sin x) (sin (* 0.5 x)))) 8.0 (/ (/ (sin (* x 0.5)) 3.0) (/ (sin x) (sin (* 0.5 x)))) (/ 8.0 (sin x)) (/ (pow (sin (* 0.5 x)) 2) 3.0) (/ 1 (* (cbrt (/ (sin x) (sin (* 0.5 x)))) (cbrt (/ (sin x) (sin (* 0.5 x)))))) (/ (/ (* 8.0 (sin (* x 0.5))) 3.0) (cbrt (/ (sin x) (sin (* 0.5 x))))) (/ 1 (sqrt (/ (sin x) (sin (* 0.5 x))))) (/ (/ (* 8.0 (sin (* x 0.5))) 3.0) (sqrt (/ (sin x) (sin (* 0.5 x))))) (/ (* (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 x)) (cbrt (sin (* 0.5 x))))) (/ (sqrt (sin (* 0.5 x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (/ (* 8.0 (sin (* x 0.5))) 3.0) 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(sin x) (sin (* 0.5 x)))))) (/ (/ 1 3.0) (cbrt (/ (sin x) (sin (* 0.5 x))))) (/ (* 8.0 (sin (* x 0.5))) (sqrt (/ (sin x) (sin (* 0.5 x))))) (/ (/ 1 3.0) (sqrt (/ (sin x) (sin (* 0.5 x))))) (/ (* 8.0 (sin (* x 0.5))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))))) (/ (/ 1 3.0) (/ (cbrt (sin x)) (cbrt (sin (* 0.5 x))))) (/ (* 8.0 (sin (* x 0.5))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (sin (* 0.5 x))))) (/ (/ 1 3.0) (/ (cbrt (sin x)) (sqrt (sin (* 0.5 x))))) (/ 8.0 (/ (* (cbrt (sin x)) (cbrt (sin x))) (sin (* x 0.5)))) (/ (/ 1 3.0) (/ (cbrt (sin x)) (sin (* 0.5 x)))) (/ (* 8.0 (sin (* x 0.5))) (/ (sqrt (sin x)) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))))) (/ (/ 1 3.0) (/ (sqrt (sin x)) (cbrt (sin (* 0.5 x))))) (/ (* 8.0 (sin (* x 0.5))) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x))))) (/ (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x))) 3.0) (/ 8.0 (/ (sqrt (sin x)) (sin (* x 0.5)))) (/ (/ 1 3.0) (/ (sqrt (sin x)) (sin (* 0.5 x)))) (* (* 8.0 (sin (* x 0.5))) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (/ 1 3.0) (/ (sin x) (cbrt (sin (* 0.5 x))))) (* (* 8.0 (sin (* x 0.5))) (sqrt (sin (* 0.5 x)))) (/ (/ 1 3.0) (/ (sin x) (sqrt (sin (* 0.5 x))))) (* 8.0 (sin (* x 0.5))) (/ (/ 1 3.0) (/ (sin x) (sin (* 0.5 x)))) (* 8.0 (sin (* x 0.5))) (/ (/ 1 3.0) (/ (sin x) (sin (* 0.5 x)))) (/ (* 8.0 (sin (* x 0.5))) (sin x)) (* (/ 1 3.0) (sin (* x 0.5))) (/ 1 (/ (sin x) (sin (* 0.5 x)))) (/ (/ (sin x) (sin (* 0.5 x))) (/ (* 8.0 (sin (* x 0.5))) 3.0)) (/ (/ (* 8.0 (sin (* x 0.5))) 3.0) (* (cbrt (/ (sin x) (sin (* 0.5 x)))) (cbrt (/ (sin x) (sin (* 0.5 x)))))) (/ (/ (* 8.0 (sin (* x 0.5))) 3.0) (sqrt (/ (sin x) (sin (* 0.5 x))))) (/ (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))))) (/ (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (sin (* 0.5 x))))) (/ (* 8.0 (sin (* x 0.5))) (* (* (cbrt (sin x)) (cbrt (sin x))) 3.0)) (/ (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sqrt (sin x)) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))))) (/ (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x))))) (/ (* 8.0 (sin (* x 0.5))) (* (sqrt (sin x)) 3.0)) (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (sqrt (sin (* 0.5 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 x)) (/ (/ (sin x) (sin (* 0.5 x))) (cbrt (/ (* 8.0 (sin (* x 0.5))) 3.0))) (/ (/ (sin x) (sin (* 0.5 x))) (sqrt (/ (* 8.0 (sin (* x 0.5))) 3.0))) (* (cbrt 3.0) (/ (sin x) (pow (sin (* 0.5 x)) 2))) (* (sqrt 3.0) (/ (sin x) (pow (sin (* 0.5 x)) 2))) (* 3.0 (/ (sin x) (pow (sin (* 0.5 x)) 2))) (/ (/ (sin x) (sin (* 0.5 x))) (/ (* 8.0 (sin (* x 0.5))) 3.0)) (* 3.0 (/ (sin x) (sin (* x 0.5)))) (/ (/ (* 8.0 (sin (* x 0.5))) 3.0) (sin x)) (* 3.0 (/ (sin x) (sin (* x 0.5)))) (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 (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))) (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))) 1.776 * * * [progress]: adding candidates to table 2.435 * * [progress]: iteration 4 / 4 2.435 * * * [progress]: picking best candidate 2.456 * * * * [pick]: Picked # 2.456 * * * [progress]: localizing error 2.479 * * * [progress]: generating rewritten candidates 2.479 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 2.483 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 2.518 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 2.621 * * * [progress]: generating series expansions 2.621 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 2.621 * [approximate]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in (x) around 0 2.621 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 2.621 * [taylor]: Taking taylor expansion of (sin x) in x 2.621 * [taylor]: Taking taylor expansion of x in x 2.621 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 2.621 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 2.621 * [taylor]: Taking taylor expansion of 0.5 in x 2.621 * [taylor]: Taking taylor expansion of x in x 2.626 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 2.626 * [taylor]: Taking taylor expansion of (sin x) in x 2.626 * [taylor]: Taking taylor expansion of x in x 2.626 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 2.626 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 2.626 * [taylor]: Taking taylor expansion of 0.5 in x 2.626 * [taylor]: Taking taylor expansion of x in x 2.657 * [approximate]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in (x) around 0 2.657 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 2.657 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.657 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.657 * [taylor]: Taking taylor expansion of x in x 2.657 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.657 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.657 * [taylor]: Taking taylor expansion of 0.5 in x 2.657 * [taylor]: Taking taylor expansion of x in x 2.658 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 2.658 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.658 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.658 * [taylor]: Taking taylor expansion of x in x 2.658 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.658 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.658 * [taylor]: Taking taylor expansion of 0.5 in x 2.658 * [taylor]: Taking taylor expansion of x in x 2.660 * [approximate]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in (x) around 0 2.660 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 2.661 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.661 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.661 * [taylor]: Taking taylor expansion of -1 in x 2.661 * [taylor]: Taking taylor expansion of x in x 2.661 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.661 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.661 * [taylor]: Taking taylor expansion of -0.5 in x 2.661 * [taylor]: Taking taylor expansion of x in x 2.662 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 2.662 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.662 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.662 * [taylor]: Taking taylor expansion of -1 in x 2.662 * [taylor]: Taking taylor expansion of x in x 2.662 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.662 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.662 * [taylor]: Taking taylor expansion of -0.5 in x 2.662 * [taylor]: Taking taylor expansion of x in x 2.664 * * * * [progress]: [ 2 / 3 ] generating series at (2) 2.665 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in (x) around 0 2.665 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 2.665 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 2.665 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 2.665 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 2.665 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 2.665 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 2.665 * [taylor]: Taking taylor expansion of 0.5 in x 2.665 * [taylor]: Taking taylor expansion of x in x 2.668 * [taylor]: Taking taylor expansion of (sin x) in x 2.668 * [taylor]: Taking taylor expansion of x in x 2.669 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 2.669 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 2.669 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 2.669 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 2.669 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 2.669 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 2.669 * [taylor]: Taking taylor expansion of 0.5 in x 2.669 * [taylor]: Taking taylor expansion of x in x 2.672 * [taylor]: Taking taylor expansion of (sin x) in x 2.672 * [taylor]: Taking taylor expansion of x in x 2.719 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in (x) around 0 2.719 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 2.719 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 2.719 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 2.719 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 2.719 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.719 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.719 * [taylor]: Taking taylor expansion of 0.5 in x 2.719 * [taylor]: Taking taylor expansion of x in x 2.720 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.720 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.720 * [taylor]: Taking taylor expansion of x in x 2.720 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 2.720 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 2.721 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 2.721 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 2.721 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.721 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.721 * [taylor]: Taking taylor expansion of 0.5 in x 2.721 * [taylor]: Taking taylor expansion of x in x 2.721 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.721 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.721 * [taylor]: Taking taylor expansion of x in x 2.736 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in (x) around 0 2.736 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 2.736 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 2.736 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 2.736 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 2.736 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.736 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.736 * [taylor]: Taking taylor expansion of -0.5 in x 2.736 * [taylor]: Taking taylor expansion of x in x 2.737 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.737 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.737 * [taylor]: Taking taylor expansion of -1 in x 2.737 * [taylor]: Taking taylor expansion of x in x 2.737 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 2.738 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 2.738 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 2.738 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 2.738 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.738 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.738 * [taylor]: Taking taylor expansion of -0.5 in x 2.738 * [taylor]: Taking taylor expansion of x in x 2.738 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.738 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.738 * [taylor]: Taking taylor expansion of -1 in x 2.738 * [taylor]: Taking taylor expansion of x in x 2.753 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 2.753 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in (x) around 0 2.753 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 2.753 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 2.753 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 2.753 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 2.753 * [taylor]: Taking taylor expansion of 0.5 in x 2.753 * [taylor]: Taking taylor expansion of x in x 2.755 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 2.755 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 2.755 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 2.755 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 2.755 * [taylor]: Taking taylor expansion of 0.5 in x 2.755 * [taylor]: Taking taylor expansion of x in x 2.780 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in (x) around 0 2.780 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 2.780 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 2.780 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.780 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.780 * [taylor]: Taking taylor expansion of 0.5 in x 2.780 * [taylor]: Taking taylor expansion of x in x 2.781 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 2.781 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 2.781 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.781 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.781 * [taylor]: Taking taylor expansion of 0.5 in x 2.781 * [taylor]: Taking taylor expansion of x in x 2.796 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in (x) around 0 2.796 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 2.796 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 2.796 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.796 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.796 * [taylor]: Taking taylor expansion of -0.5 in x 2.796 * [taylor]: Taking taylor expansion of x in x 2.796 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 2.796 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 2.796 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.796 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.796 * [taylor]: Taking taylor expansion of -0.5 in x 2.796 * [taylor]: Taking taylor expansion of x in x 2.803 * * * [progress]: simplifying candidates 2.827 * [simplify]: Simplifying using # : (expm1 (/ (sin x) (sin (* 0.5 x)))) (log1p (/ (sin x) (sin (* 0.5 x)))) (- (log (sin x)) 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0.5))))) (/ (sqrt (- (* 8.0 (sin (* x 0.5))))) (- 3.0)) (/ 1 (* (cbrt (- 3.0)) (cbrt (- 3.0)))) (/ (- (* 8.0 (sin (* x 0.5)))) (cbrt (- 3.0))) (/ 1 (sqrt (- 3.0))) (/ (- (* 8.0 (sin (* x 0.5)))) (sqrt (- 3.0))) 1 (/ (- (* 8.0 (sin (* x 0.5)))) (- 3.0)) -1 (/ (- (* 8.0 (sin (* x 0.5)))) 3.0) (/ 1 (- (* (cbrt 3.0) (cbrt 3.0)))) (/ (- (* 8.0 (sin (* x 0.5)))) (cbrt 3.0)) (/ 1 (- (sqrt 3.0))) (/ (- (* 8.0 (sin (* x 0.5)))) (sqrt 3.0)) (/ 1 (- 1)) (/ (- (* 8.0 (sin (* x 0.5)))) 3.0) (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (- (* 8.0 (sin (* x 0.5)))) (- (cbrt 3.0))) (/ 1 (sqrt 3.0)) (/ (- (* 8.0 (sin (* x 0.5)))) (- (sqrt 3.0))) 1 (/ (- (* 8.0 (sin (* x 0.5)))) (- 3.0)) (/ -1 (* (cbrt (- 3.0)) (cbrt (- 3.0)))) (/ (* 8.0 (sin (* x 0.5))) (cbrt (- 3.0))) (/ -1 (sqrt (- 3.0))) (/ (* 8.0 (sin (* x 0.5))) (sqrt (- 3.0))) -1 (/ (* 8.0 (sin (* x 0.5))) (- 3.0)) 1 (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ -1 (- (* (cbrt 3.0) (cbrt 3.0)))) (/ (* 8.0 (sin (* x 0.5))) (cbrt 3.0)) (/ -1 (- (sqrt 3.0))) (/ (* 8.0 (sin (* x 0.5))) (sqrt 3.0)) (/ -1 (- 1)) (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ -1 (* (cbrt 3.0) (cbrt 3.0))) (/ (* 8.0 (sin (* x 0.5))) (- (cbrt 3.0))) (/ -1 (sqrt 3.0)) (/ (* 8.0 (sin (* x 0.5))) (- (sqrt 3.0))) -1 (/ (* 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)) (/ (- 8.0) -1) (/ (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) (/ (- 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)) (/ 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)) (/ 8.0 -1) (/ (- (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) (/ 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))) (- 3.0)) (/ (- (* 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)))) (/ (- (* 8.0 (sin (* x 0.5)))) -1) (/ (- (* 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)) (/ (- (* 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) (cbrt (- (* 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 (sin (* x 0.5)))) (/ (- 3.0) (sin (* x 0.5))) (/ (- 3.0) (- (sin (* x 0.5)))) (- (+ (* 0.005208333333333334 (pow x 4)) 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))) (- (+ (* 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))) 3.012 * * * [progress]: adding candidates to table 7.310 * [progress]: [Phase 3 of 3] Extracting. 7.310 * * [regime]: Finding splitpoints for: (# # # # # # # #) 7.311 * * * [regime-changes]: Trying 1 branch expressions: (x) 7.311 * * * * [regimes]: Trying to branch on x from (# # # # # # # #) 7.349 * * * [regime]: Found split indices: #