11.637 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.055 * * * [progress]: [2/2] Setting up program. 0.058 * [progress]: [Phase 2 of 3] Improving. 0.058 * [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 ) 0.066 * * [simplify]: iteration 3 : 174 enodes (cost 9 ) 0.069 * * [simplify]: iteration 4 : 269 enodes (cost 9 ) 0.073 * * [simplify]: iteration 5 : 288 enodes (cost 9 ) 0.077 * * [simplify]: iteration 6 : 288 enodes (cost 9 ) 0.077 * [simplify]: Simplified to: (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x)) 0.077 * * [progress]: iteration 1 / 4 0.077 * * * [progress]: picking best candidate 0.079 * * * * [pick]: Picked # 0.079 * * * [progress]: localizing error 0.095 * * * [progress]: generating rewritten candidates 0.095 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.106 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.113 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.125 * * * [progress]: generating series expansions 0.125 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.126 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in (x) around 0 0.126 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.126 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.126 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 0.126 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.126 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.126 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.126 * [taylor]: Taking taylor expansion of 0.5 in x 0.126 * [taylor]: Taking taylor expansion of x in x 0.129 * [taylor]: Taking taylor expansion of (sin x) in x 0.129 * [taylor]: Taking taylor expansion of x in x 0.130 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.130 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.130 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 0.130 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.130 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.130 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.130 * [taylor]: Taking taylor expansion of 0.5 in x 0.130 * [taylor]: Taking taylor expansion of x in x 0.133 * [taylor]: Taking taylor expansion of (sin x) in x 0.133 * [taylor]: Taking taylor expansion of x in x 0.170 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in (x) around 0 0.170 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 0.170 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.170 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 0.170 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.170 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.170 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.170 * [taylor]: Taking taylor expansion of 0.5 in x 0.170 * [taylor]: Taking taylor expansion of x in x 0.170 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.170 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.170 * [taylor]: Taking taylor expansion of x in x 0.171 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 0.171 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.171 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 0.171 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.171 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.171 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.171 * [taylor]: Taking taylor expansion of 0.5 in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.171 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.171 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.189 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in (x) around 0 0.189 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.189 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.189 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 0.189 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.189 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.189 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.189 * [taylor]: Taking taylor expansion of -0.5 in x 0.189 * [taylor]: Taking taylor expansion of x in x 0.189 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.190 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.190 * [taylor]: Taking taylor expansion of -1 in x 0.190 * [taylor]: Taking taylor expansion of x in x 0.190 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.190 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.190 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 0.190 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.190 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.190 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.190 * [taylor]: Taking taylor expansion of -0.5 in x 0.190 * [taylor]: Taking taylor expansion of x in x 0.191 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.191 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.191 * [taylor]: Taking taylor expansion of -1 in x 0.191 * [taylor]: Taking taylor expansion of x in x 0.204 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.205 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in (x) around 0 0.205 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 0.205 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.205 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.205 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.205 * [taylor]: Taking taylor expansion of 0.5 in x 0.205 * [taylor]: Taking taylor expansion of x in x 0.206 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 0.206 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.206 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.206 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.206 * [taylor]: Taking taylor expansion of 0.5 in x 0.206 * [taylor]: Taking taylor expansion of x in x 0.228 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in (x) around 0 0.228 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 0.229 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.229 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.229 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.229 * [taylor]: Taking taylor expansion of 0.5 in x 0.229 * [taylor]: Taking taylor expansion of x in x 0.229 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 0.229 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.229 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.229 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.229 * [taylor]: Taking taylor expansion of 0.5 in x 0.229 * [taylor]: Taking taylor expansion of x in x 0.235 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in (x) around 0 0.235 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 0.235 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.235 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.235 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.235 * [taylor]: Taking taylor expansion of -0.5 in x 0.235 * [taylor]: Taking taylor expansion of x in x 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 0.242 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.242 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (* 0.5 x)) 2)) in (x) around 0 0.242 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (* 0.5 x)) 2)) 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) 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 0.245 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (* 0.5 x)) 2)) in x 0.245 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.245 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.245 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.245 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.245 * [taylor]: Taking taylor expansion of 0.5 in x 0.245 * [taylor]: Taking taylor expansion of x in x 0.276 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ 0.5 x)) 2)) in (x) around 0 0.276 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ 0.5 x)) 2)) in x 0.276 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.276 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.276 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.276 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.276 * [taylor]: Taking taylor expansion of 0.5 in x 0.276 * [taylor]: Taking taylor expansion of x in x 0.276 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ 0.5 x)) 2)) in x 0.276 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.276 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.276 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.276 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.276 * [taylor]: Taking taylor expansion of 0.5 in x 0.276 * [taylor]: Taking taylor expansion of x in x 0.287 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ -0.5 x)) 2)) in (x) around 0 0.288 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ -0.5 x)) 2)) in x 0.288 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.288 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.288 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.288 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.288 * [taylor]: Taking taylor expansion of -0.5 in x 0.288 * [taylor]: Taking taylor expansion of x in x 0.288 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ -0.5 x)) 2)) in x 0.288 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.288 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.288 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.288 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.288 * [taylor]: Taking taylor expansion of -0.5 in x 0.288 * [taylor]: Taking taylor expansion of x in x 0.299 * * * [progress]: simplifying candidates 0.301 * [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)) 0.307 * * [simplify]: iteration 0 : 412 enodes (cost 862 ) 0.318 * * [simplify]: iteration 1 : 2127 enodes (cost 656 ) 0.356 * * [simplify]: iteration 2 : 5001 enodes (cost 637 ) 0.359 * [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)) 0.360 * * * [progress]: adding candidates to table 0.579 * * [progress]: iteration 2 / 4 0.579 * * * [progress]: picking best candidate 0.624 * * * * [pick]: Picked # 0.624 * * * [progress]: localizing error 0.639 * * * [progress]: generating rewritten candidates 0.639 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.646 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.650 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.664 * * * [progress]: generating series expansions 0.665 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.665 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in (x) around 0 0.665 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 0.665 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.665 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.665 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.665 * [taylor]: Taking taylor expansion of 0.5 in x 0.665 * [taylor]: Taking taylor expansion of x in x 0.667 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 0.667 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.667 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.667 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.667 * [taylor]: Taking taylor expansion of 0.5 in x 0.667 * [taylor]: Taking taylor expansion of x in x 0.692 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in (x) around 0 0.692 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 0.692 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.692 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.692 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.692 * [taylor]: Taking taylor expansion of 0.5 in x 0.692 * [taylor]: Taking taylor expansion of x in x 0.693 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 0.693 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.693 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.693 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.693 * [taylor]: Taking taylor expansion of 0.5 in x 0.693 * [taylor]: Taking taylor expansion of x in x 0.699 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in (x) around 0 0.699 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 0.699 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.699 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.699 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.699 * [taylor]: Taking taylor expansion of -0.5 in x 0.699 * [taylor]: Taking taylor expansion of x in x 0.700 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 0.700 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.700 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.700 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.700 * [taylor]: Taking taylor expansion of -0.5 in x 0.700 * [taylor]: Taking taylor expansion of x in x 0.705 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.706 * [approximate]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in (x) around 0 0.706 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 0.706 * [taylor]: Taking taylor expansion of (sin x) in x 0.706 * [taylor]: Taking taylor expansion of x in x 0.706 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.706 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.706 * [taylor]: Taking taylor expansion of 0.5 in x 0.706 * [taylor]: Taking taylor expansion of x in x 0.709 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 0.709 * [taylor]: Taking taylor expansion of (sin x) in x 0.709 * [taylor]: Taking taylor expansion of x in x 0.709 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.709 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.709 * [taylor]: Taking taylor expansion of 0.5 in x 0.709 * [taylor]: Taking taylor expansion of x in x 0.738 * [approximate]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in (x) around 0 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 0.738 * [taylor]: Taking taylor expansion of 0.5 in x 0.738 * [taylor]: Taking taylor expansion of x in x 0.739 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 0.739 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.739 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.739 * [taylor]: Taking taylor expansion of x in x 0.739 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.739 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.739 * [taylor]: Taking taylor expansion of 0.5 in x 0.739 * [taylor]: Taking taylor expansion of x in x 0.741 * [approximate]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in (x) around 0 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 0.743 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 0.743 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.743 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.743 * [taylor]: Taking taylor expansion of -1 in x 0.743 * [taylor]: Taking taylor expansion of x in x 0.743 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.743 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.743 * [taylor]: Taking taylor expansion of -0.5 in x 0.743 * [taylor]: Taking taylor expansion of x in x 0.745 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.746 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in (x) around 0 0.746 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.746 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.746 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 0.746 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.746 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.746 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.746 * [taylor]: Taking taylor expansion of 0.5 in x 0.746 * [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 0.752 * [taylor]: Taking taylor expansion of (sin x) in x 0.753 * [taylor]: Taking taylor expansion of x in x 0.795 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in (x) around 0 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 0.795 * [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 0.796 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 0.796 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.796 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 0.796 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.796 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.796 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.796 * [taylor]: Taking taylor expansion of 0.5 in x 0.796 * [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 0.810 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.810 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.810 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.810 * [taylor]: Taking taylor expansion of -0.5 in x 0.810 * [taylor]: Taking taylor expansion of x in x 0.810 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.810 * [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 0.811 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.811 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.811 * [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 0.812 * [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 0.825 * * * [progress]: simplifying candidates 0.827 * [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))) 0.894 * * * [progress]: adding candidates to table 1.231 * * [progress]: iteration 3 / 4 1.231 * * * [progress]: picking best candidate 1.257 * * * * [pick]: Picked # 1.257 * * * [progress]: localizing error 1.269 * * * [progress]: generating rewritten candidates 1.269 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 1.274 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 2) 1.278 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 1.292 * * * [progress]: generating series expansions 1.292 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 1.292 * [approximate]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in (x) around 0 1.292 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 1.292 * [taylor]: Taking taylor expansion of (sin x) in x 1.292 * [taylor]: Taking taylor expansion of x in x 1.292 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.292 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.292 * [taylor]: Taking taylor expansion of 0.5 in x 1.292 * [taylor]: Taking taylor expansion of x in x 1.300 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 1.300 * [taylor]: Taking taylor expansion of (sin x) in x 1.300 * [taylor]: Taking taylor expansion of x in x 1.300 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.300 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.300 * [taylor]: Taking taylor expansion of 0.5 in x 1.300 * [taylor]: Taking taylor expansion of x in x 1.329 * [approximate]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in (x) around 0 1.329 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 1.329 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.329 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.329 * [taylor]: Taking taylor expansion of x in x 1.330 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.330 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.330 * [taylor]: Taking taylor expansion of 0.5 in x 1.330 * [taylor]: Taking taylor expansion of x in x 1.330 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 1.330 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.330 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.330 * [taylor]: Taking taylor expansion of x in x 1.330 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.331 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.331 * [taylor]: Taking taylor expansion of 0.5 in x 1.331 * [taylor]: Taking taylor expansion of x in x 1.333 * [approximate]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in (x) around 0 1.333 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 1.333 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.333 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.333 * [taylor]: Taking taylor expansion of -1 in x 1.333 * [taylor]: Taking taylor expansion of x in x 1.333 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.334 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.334 * [taylor]: Taking taylor expansion of -0.5 in x 1.334 * [taylor]: Taking taylor expansion of x in x 1.334 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 1.334 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.334 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.334 * [taylor]: Taking taylor expansion of -1 in x 1.334 * [taylor]: Taking taylor expansion of x in x 1.334 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.334 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.334 * [taylor]: Taking taylor expansion of -0.5 in x 1.334 * [taylor]: Taking taylor expansion of x in x 1.337 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 2) 1.337 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (sin (* 0.5 x))) in (x) around 0 1.337 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (* 0.5 x))) in x 1.337 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.337 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.337 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.337 * [taylor]: Taking taylor expansion of 0.5 in x 1.337 * [taylor]: Taking taylor expansion of x in x 1.338 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (* 0.5 x))) in x 1.338 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.338 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.338 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.338 * [taylor]: Taking taylor expansion of 0.5 in x 1.338 * [taylor]: Taking taylor expansion of x in x 1.359 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ 0.5 x))) in (x) around 0 1.359 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ 0.5 x))) in x 1.359 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.359 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.359 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.359 * [taylor]: Taking taylor expansion of 0.5 in x 1.359 * [taylor]: Taking taylor expansion of x in x 1.360 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ 0.5 x))) in x 1.360 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.360 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.360 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.360 * [taylor]: Taking taylor expansion of 0.5 in x 1.360 * [taylor]: Taking taylor expansion of x in x 1.366 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ -0.5 x))) in (x) around 0 1.366 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ -0.5 x))) in x 1.366 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.366 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.366 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.366 * [taylor]: Taking taylor expansion of -0.5 in x 1.366 * [taylor]: Taking taylor expansion of x in x 1.367 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ -0.5 x))) in x 1.367 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.367 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.367 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.367 * [taylor]: Taking taylor expansion of -0.5 in x 1.367 * [taylor]: Taking taylor expansion of x in x 1.373 * * * * [progress]: [ 3 / 3 ] generating series at (2) 1.373 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in (x) around 0 1.373 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin 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 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 1.376 * [taylor]: Taking taylor expansion of (sin x) in x 1.376 * [taylor]: Taking taylor expansion of x in x 1.377 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 1.377 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.377 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 1.377 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 1.377 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.377 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.377 * [taylor]: Taking taylor expansion of 0.5 in x 1.377 * [taylor]: Taking taylor expansion of x in x 1.385 * [taylor]: Taking taylor expansion of (sin x) in x 1.385 * [taylor]: Taking taylor expansion of x in x 1.423 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in (x) around 0 1.424 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 1.424 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.424 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 1.424 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) 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 1.424 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.424 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.424 * [taylor]: Taking taylor expansion of x in x 1.425 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 1.425 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.425 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 1.425 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) 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 1.425 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.425 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.425 * [taylor]: Taking taylor expansion of x in x 1.439 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in (x) around 0 1.439 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 1.439 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.439 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 1.439 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 1.439 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.439 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.439 * [taylor]: Taking taylor expansion of -0.5 in x 1.439 * [taylor]: Taking taylor expansion of x in x 1.440 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.440 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.440 * [taylor]: Taking taylor expansion of -1 in x 1.440 * [taylor]: Taking taylor expansion of x in x 1.440 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 1.440 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.440 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 1.440 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 1.440 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.440 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.440 * [taylor]: Taking taylor expansion of -0.5 in x 1.440 * [taylor]: Taking taylor expansion of x in x 1.441 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.441 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.441 * [taylor]: Taking taylor expansion of -1 in x 1.441 * [taylor]: Taking taylor expansion of x in x 1.455 * * * [progress]: simplifying candidates 1.457 * [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 (/ (sin (* 0.5 x)) 3.0)) (log1p (/ (sin (* 0.5 x)) 3.0)) (- (log (sin (* 0.5 x))) (log 3.0)) (log (/ (sin (* 0.5 x)) 3.0)) (exp (/ (sin (* 0.5 x)) 3.0)) (/ (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x))) (* (* 3.0 3.0) 3.0)) (* (cbrt (/ (sin (* 0.5 x)) 3.0)) (cbrt (/ (sin (* 0.5 x)) 3.0))) (cbrt (/ (sin (* 0.5 x)) 3.0)) (* (* (/ (sin (* 0.5 x)) 3.0) (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) 3.0)) (sqrt (/ (sin (* 0.5 x)) 3.0)) (sqrt (/ (sin (* 0.5 x)) 3.0)) (- (sin (* 0.5 x))) (- 3.0) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (* (cbrt 3.0) (cbrt 3.0))) (/ (cbrt (sin (* 0.5 x))) (cbrt 3.0)) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (sqrt 3.0)) (/ (cbrt (sin (* 0.5 x))) (sqrt 3.0)) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) 1) (/ (cbrt (sin (* 0.5 x))) 3.0) (/ (sqrt (sin (* 0.5 x))) (* (cbrt 3.0) (cbrt 3.0))) (/ (sqrt (sin (* 0.5 x))) (cbrt 3.0)) (/ (sqrt (sin (* 0.5 x))) (sqrt 3.0)) (/ (sqrt (sin (* 0.5 x))) (sqrt 3.0)) (/ (sqrt (sin (* 0.5 x))) 1) (/ (sqrt (sin (* 0.5 x))) 3.0) (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (sin (* 0.5 x)) (cbrt 3.0)) (/ 1 (sqrt 3.0)) (/ (sin (* 0.5 x)) (sqrt 3.0)) (/ 1 1) (/ (sin (* 0.5 x)) 3.0) (/ 1 3.0) (/ 3.0 (sin (* 0.5 x))) (/ (sin (* 0.5 x)) (* (cbrt 3.0) (cbrt 3.0))) (/ (sin (* 0.5 x)) (sqrt 3.0)) (/ (sin (* 0.5 x)) 1) (/ 3.0 (cbrt (sin (* 0.5 x)))) (/ 3.0 (sqrt (sin (* 0.5 x)))) (/ 3.0 (sin (* 0.5 x))) (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 (* 0.5 x)))) (cbrt (/ (sin x) (sin (* 0.5 x)))))) (/ (/ (sin (* 0.5 x)) 3.0) (cbrt (/ (sin x) (sin (* 0.5 x))))) (/ 8.0 (sqrt (/ (sin x) (sin (* 0.5 x))))) (/ (/ (sin (* 0.5 x)) 3.0) (sqrt (/ (sin x) (sin (* 0.5 x))))) (/ 8.0 (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))))) (/ (/ (sin (* 0.5 x)) 3.0) (/ (cbrt (sin x)) (cbrt (sin (* 0.5 x))))) (/ 8.0 (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (sin (* 0.5 x))))) (/ (/ (sin (* 0.5 x)) 3.0) (/ (cbrt (sin x)) (sqrt (sin (* 0.5 x))))) (/ 8.0 (/ (* (cbrt (sin x)) (cbrt (sin x))) 1)) (/ (/ (sin (* 0.5 x)) 3.0) (/ (cbrt (sin x)) (sin (* 0.5 x)))) (/ 8.0 (/ (sqrt (sin x)) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))))) (/ (/ (sin (* 0.5 x)) 3.0) (/ (sqrt (sin x)) (cbrt (sin (* 0.5 x))))) (/ 8.0 (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x))))) (/ (/ (sin (* 0.5 x)) 3.0) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x))))) (/ 8.0 (/ (sqrt (sin x)) 1)) (/ (/ (sin (* 0.5 x)) 3.0) (/ (sqrt (sin x)) (sin (* 0.5 x)))) (/ 8.0 (/ 1 (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))))) (/ (/ (sin (* 0.5 x)) 3.0) (/ (sin x) (cbrt (sin (* 0.5 x))))) (/ 8.0 (/ 1 (sqrt (sin (* 0.5 x))))) (/ (/ (sin (* 0.5 x)) 3.0) (/ (sin x) (sqrt (sin (* 0.5 x))))) (/ 8.0 (/ 1 1)) (/ (/ (sin (* 0.5 x)) 3.0) (/ (sin x) (sin (* 0.5 x)))) (/ 8.0 1) (/ (/ (sin (* 0.5 x)) 3.0) (/ (sin x) (sin (* 0.5 x)))) (/ 8.0 (sin x)) (/ (/ (sin (* 0.5 x)) 3.0) (/ 1 (sin (* 0.5 x)))) (/ 1 (/ (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)) (* (cbrt (/ (sin x) (sin (* 0.5 x)))) (cbrt (/ (sin x) (sin (* 0.5 x)))))) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sqrt (/ (sin x) (sin (* 0.5 x))))) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))))) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (sin (* 0.5 x))))) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (* (cbrt (sin x)) (cbrt (sin x))) 1)) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sqrt (sin x)) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))))) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x))))) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sqrt (sin x)) 1)) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ 1 (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))))) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ 1 (sqrt (sin (* 0.5 x))))) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ 1 1)) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) 1) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x)) (/ (/ (sin x) (sin (* 0.5 x))) (/ (sin (* 0.5 x)) 3.0)) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x)) (* (/ (sin x) (sin (* 0.5 x))) 3.0) (- (+ (* 0.005208333333333334 (pow x 4)) 2.0) (* 0.25 (pow x 2))) (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x))) (- (+ (* 0.16666666666666666 x) (* 8.680555555555555e-05 (pow x 5))) (* 0.006944444444444444 (pow x 3))) (* 0.3333333333333333 (sin (* 0.5 x))) (* 0.3333333333333333 (sin (* 0.5 x))) (+ (* 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))) 1.465 * * [simplify]: iteration 0 : 514 enodes (cost 1168 ) 1.477 * * [simplify]: iteration 1 : 2579 enodes (cost 1010 ) 1.521 * * [simplify]: iteration 2 : 5002 enodes (cost 984 ) 1.526 * [simplify]: Simplified to: (expm1 (/ (sin x) (sin (* 0.5 x)))) (log1p (/ (sin x) (sin (* 0.5 x)))) (log (/ (sin x) (sin (* 0.5 x)))) (log (/ (sin x) (sin (* 0.5 x)))) (exp (/ (sin x) (sin (* 0.5 x)))) (pow (/ (sin x) (sin (* 0.5 x))) 3) (* (cbrt (/ (sin x) (sin (* 0.5 x)))) (cbrt (/ (sin x) (sin (* 0.5 x))))) (cbrt (/ (sin x) (sin (* 0.5 x)))) (pow (/ (sin x) (sin (* 0.5 x))) 3) (sqrt (/ (sin x) (sin (* 0.5 x)))) (sqrt (/ (sin x) (sin (* 0.5 x)))) (- (sin x)) (- (sin (* 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))) (/ (cbrt (sin x)) (sin (* 0.5 x))) (/ (sqrt (sin x)) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (sqrt (sin x)) (cbrt (sin (* 0.5 x)))) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (sqrt (sin x)) (/ (sqrt (sin x)) (sin (* 0.5 x))) (/ 1 (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (sin x) (cbrt (sin (* 0.5 x)))) (/ 1 (sqrt (sin (* 0.5 x)))) (/ (sin x) (sqrt (sin (* 0.5 x)))) 1 (/ (sin x) (sin (* 0.5 x))) (/ 1 (sin (* 0.5 x))) (/ (sin (* 0.5 x)) (sin x)) (/ (sin x) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (sin x) (sqrt (sin (* 0.5 x)))) (sin x) (/ (sin (* 0.5 x)) (cbrt (sin x))) (/ (sin (* 0.5 x)) (sqrt (sin x))) (/ (sin (* 0.5 x)) (sin x)) (expm1 (/ (sin (* 0.5 x)) 3.0)) (log1p (/ (sin (* 0.5 x)) 3.0)) (log (/ (sin (* 0.5 x)) 3.0)) (log (/ (sin (* 0.5 x)) 3.0)) (exp (/ (sin (* 0.5 x)) 3.0)) (pow (/ (sin (* 0.5 x)) 3.0) 3) (* (cbrt (/ (sin (* 0.5 x)) 3.0)) (cbrt (/ (sin (* 0.5 x)) 3.0))) (cbrt (/ (sin (* 0.5 x)) 3.0)) (pow (/ (sin (* 0.5 x)) 3.0) 3) (sqrt (/ (sin (* 0.5 x)) 3.0)) (sqrt (/ (sin (* 0.5 x)) 3.0)) (- (sin (* 0.5 x))) (- 3.0) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (* (cbrt 3.0) (cbrt 3.0))) (/ (cbrt (sin (* 0.5 x))) (cbrt 3.0)) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (sqrt 3.0)) (/ (cbrt (sin (* 0.5 x))) (sqrt 3.0)) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (/ (cbrt (sin (* 0.5 x))) 3.0) (/ (sqrt (sin (* 0.5 x))) (* (cbrt 3.0) (cbrt 3.0))) (/ (sqrt (sin (* 0.5 x))) (cbrt 3.0)) (/ (sqrt (sin (* 0.5 x))) (sqrt 3.0)) (/ (sqrt (sin (* 0.5 x))) (sqrt 3.0)) (sqrt (sin (* 0.5 x))) (/ (sqrt (sin (* 0.5 x))) 3.0) (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (sin (* 0.5 x)) (cbrt 3.0)) (/ 1 (sqrt 3.0)) (/ (sin (* 0.5 x)) (sqrt 3.0)) 1 (/ (sin (* 0.5 x)) 3.0) (/ 1 3.0) (/ 3.0 (sin (* 0.5 x))) (/ (sin (* 0.5 x)) (* (cbrt 3.0) (cbrt 3.0))) (/ (sin (* 0.5 x)) (sqrt 3.0)) (sin (* 0.5 x)) (/ 3.0 (cbrt (sin (* 0.5 x)))) (/ 3.0 (sqrt (sin (* 0.5 x)))) (/ 3.0 (sin (* 0.5 x))) (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 (sin x))) (log (/ (pow (sin (* 0.5 x)) 2) 3.0))) (+ (log (/ 8.0 (sin x))) (log (/ (pow (sin (* 0.5 x)) 2) 3.0))) (+ (log (/ 8.0 (sin x))) (log (/ (pow (sin (* 0.5 x)) 2) 3.0))) (+ (log (/ 8.0 (sin x))) (log (/ (pow (sin (* 0.5 x)) 2) 3.0))) (+ (log (/ 8.0 (sin x))) (log (/ (pow (sin (* 0.5 x)) 2) 3.0))) (+ (log (/ 8.0 (sin x))) (log (/ (pow (sin (* 0.5 x)) 2) 3.0))) (+ (log (/ 8.0 (sin x))) (log (/ (pow (sin (* 0.5 x)) 2) 3.0))) (pow (exp (/ 8.0 (sin x))) (/ (pow (sin (* 0.5 x)) 2) 3.0)) (pow (* (/ 8.0 (sin x)) (/ (pow (sin (* 0.5 x)) 2) 3.0)) 3) (pow (* (/ 8.0 (sin x)) (/ (pow (sin (* 0.5 x)) 2) 3.0)) 3) (pow (* (/ 8.0 (sin x)) (/ (pow (sin (* 0.5 x)) 2) 3.0)) 3) (pow (* (/ 8.0 (sin x)) (/ (pow (sin (* 0.5 x)) 2) 3.0)) 3) (pow (* (/ 8.0 (sin x)) (/ (pow (sin (* 0.5 x)) 2) 3.0)) 3) (pow (* (/ 8.0 (sin x)) (/ (pow (sin (* 0.5 x)) 2) 3.0)) 3) (* (cbrt (/ (* 8.0 (/ (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))))) (pow (* (/ 8.0 (sin x)) (/ (pow (sin (* 0.5 x)) 2) 3.0)) 3) (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 (* 0.5 x)))) (cbrt (/ (sin x) (sin (* 0.5 x)))))) (/ (/ (sin (* 0.5 x)) 3.0) (cbrt (/ (sin x) (sin (* 0.5 x))))) (/ 8.0 (sqrt (/ (sin x) (sin (* 0.5 x))))) (/ (/ (sin (* 0.5 x)) 3.0) (sqrt (/ (sin x) (sin (* 0.5 x))))) (/ 8.0 (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))))) (/ (/ (sin (* 0.5 x)) 3.0) (/ (cbrt (sin x)) (cbrt (sin (* 0.5 x))))) (/ 8.0 (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (sin (* 0.5 x))))) (/ (/ (sin (* 0.5 x)) 3.0) (/ (cbrt (sin x)) (sqrt (sin (* 0.5 x))))) (/ 8.0 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (/ (sin (* 0.5 x)) 3.0) (/ (cbrt (sin x)) (sin (* 0.5 x)))) (/ 8.0 (/ (sqrt (sin x)) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))))) (/ (/ (sin (* 0.5 x)) 3.0) (/ (sqrt (sin x)) (cbrt (sin (* 0.5 x))))) (/ 8.0 (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x))))) (/ (/ (sin (* 0.5 x)) 3.0) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x))))) (/ 8.0 (sqrt (sin x))) (/ (/ (sin (* 0.5 x)) 3.0) (/ (sqrt (sin x)) (sin (* 0.5 x)))) (* 8.0 (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (/ (sin (* 0.5 x)) 3.0) (/ (sin x) (cbrt (sin (* 0.5 x))))) (* 8.0 (sqrt (sin (* 0.5 x)))) (/ (/ (sin (* 0.5 x)) 3.0) (/ (sin x) (sqrt (sin (* 0.5 x))))) 8.0 (* (/ (pow (sin (* 0.5 x)) 2) (sin x)) (/ 1 3.0)) 8.0 (* (/ (pow (sin (* 0.5 x)) 2) (sin x)) (/ 1 3.0)) (/ 8.0 (sin x)) (/ (pow (sin (* 0.5 x)) 2) 3.0) (/ 1 (/ (sin x) (sin (* 0.5 x)))) (* (/ (sin x) 8.0) (/ 1 (/ (pow (sin (* 0.5 x)) 2) 3.0))) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (* (cbrt (/ (sin x) (sin (* 0.5 x)))) (cbrt (/ (sin x) (sin (* 0.5 x)))))) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sqrt (/ (sin x) (sin (* 0.5 x))))) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))))) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (sin (* 0.5 x))))) (/ 8.0 (/ (* (cbrt (sin x)) (cbrt (sin x))) (/ (sin (* 0.5 x)) 3.0))) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sqrt (sin x)) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))))) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x))))) (/ 8.0 (/ (sqrt (sin x)) (/ (sin (* 0.5 x)) 3.0))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sqrt (sin (* 0.5 x)))) (* 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)) (* 3.0 (/ (sin x) (pow (sin (* 0.5 x)) 2))) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x)) (* (/ (sin x) (sin (* 0.5 x))) 3.0) (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 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 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))) 1.527 * * * [progress]: adding candidates to table 1.817 * * [progress]: iteration 4 / 4 1.817 * * * [progress]: picking best candidate 1.837 * * * * [pick]: Picked # 1.837 * * * [progress]: localizing error 1.852 * * * [progress]: generating rewritten candidates 1.852 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 1.861 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 1.867 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 1.877 * * * [progress]: generating series expansions 1.877 * * * * [progress]: [ 1 / 3 ] generating series at (2) 1.877 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in (x) around 0 1.878 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 1.878 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.878 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 1.878 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 1.878 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.878 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.878 * [taylor]: Taking taylor expansion of 0.5 in x 1.878 * [taylor]: Taking taylor expansion of x in x 1.881 * [taylor]: Taking taylor expansion of (sin x) in x 1.882 * [taylor]: Taking taylor expansion of x in x 1.883 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 1.883 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.883 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 1.883 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 1.883 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.883 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.883 * [taylor]: Taking taylor expansion of 0.5 in x 1.883 * [taylor]: Taking taylor expansion of x in x 1.886 * [taylor]: Taking taylor expansion of (sin x) in x 1.886 * [taylor]: Taking taylor expansion of x in x 1.922 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in (x) around 0 1.922 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 1.922 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.922 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 1.922 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 1.922 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.922 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.922 * [taylor]: Taking taylor expansion of 0.5 in x 1.922 * [taylor]: Taking taylor expansion of x in x 1.923 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.923 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.923 * [taylor]: Taking taylor expansion of x in x 1.923 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 1.923 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.923 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 1.924 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 1.924 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.924 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.924 * [taylor]: Taking taylor expansion of 0.5 in x 1.924 * [taylor]: Taking taylor expansion of x in x 1.924 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.924 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.924 * [taylor]: Taking taylor expansion of x in x 1.944 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in (x) around 0 1.944 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 1.944 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.944 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 1.944 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 1.944 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.944 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.944 * [taylor]: Taking taylor expansion of -0.5 in x 1.944 * [taylor]: Taking taylor expansion of x in x 1.944 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.944 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.944 * [taylor]: Taking taylor expansion of -1 in x 1.944 * [taylor]: Taking taylor expansion of x in x 1.945 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 1.945 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.945 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 1.945 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 1.945 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.945 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.945 * [taylor]: Taking taylor expansion of -0.5 in x 1.945 * [taylor]: Taking taylor expansion of x in x 1.945 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.945 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.945 * [taylor]: Taking taylor expansion of -1 in x 1.945 * [taylor]: Taking taylor expansion of x in x 1.960 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 1.960 * [approximate]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in (x) around 0 1.960 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 1.960 * [taylor]: Taking taylor expansion of (sin x) in x 1.960 * [taylor]: Taking taylor expansion of x in x 1.960 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.960 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.960 * [taylor]: Taking taylor expansion of 0.5 in x 1.960 * [taylor]: Taking taylor expansion of x in x 1.963 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 1.963 * [taylor]: Taking taylor expansion of (sin x) in x 1.963 * [taylor]: Taking taylor expansion of x in x 1.963 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.963 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.964 * [taylor]: Taking taylor expansion of 0.5 in x 1.964 * [taylor]: Taking taylor expansion of x in x 1.994 * [approximate]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in (x) around 0 1.994 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 1.994 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.994 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.994 * [taylor]: Taking taylor expansion of x in x 1.995 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.995 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.995 * [taylor]: Taking taylor expansion of 0.5 in x 1.995 * [taylor]: Taking taylor expansion of x in x 1.995 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 1.995 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.995 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.995 * [taylor]: Taking taylor expansion of x in x 1.995 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.995 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.996 * [taylor]: Taking taylor expansion of 0.5 in x 1.996 * [taylor]: Taking taylor expansion of x in x 1.998 * [approximate]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in (x) around 0 1.998 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 1.998 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.998 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.998 * [taylor]: Taking taylor expansion of -1 in x 1.998 * [taylor]: Taking taylor expansion of x in x 1.999 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.999 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.999 * [taylor]: Taking taylor expansion of -0.5 in x 1.999 * [taylor]: Taking taylor expansion of x in x 1.999 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 1.999 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.999 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.999 * [taylor]: Taking taylor expansion of -1 in x 1.999 * [taylor]: Taking taylor expansion of x in x 1.999 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.000 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.000 * [taylor]: Taking taylor expansion of -0.5 in x 2.000 * [taylor]: Taking taylor expansion of x in x 2.002 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 2.002 * [approximate]: Taking taylor expansion of (* 3.0 (/ (sin x) (sin (* 0.5 x)))) in (x) around 0 2.002 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sin x) (sin (* 0.5 x)))) in x 2.002 * [taylor]: Taking taylor expansion of 3.0 in x 2.002 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 2.002 * [taylor]: Taking taylor expansion of (sin x) in x 2.002 * [taylor]: Taking taylor expansion of x in x 2.002 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 2.002 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 2.002 * [taylor]: Taking taylor expansion of 0.5 in x 2.002 * [taylor]: Taking taylor expansion of x in x 2.006 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sin x) (sin (* 0.5 x)))) in x 2.006 * [taylor]: Taking taylor expansion of 3.0 in x 2.006 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 2.006 * [taylor]: Taking taylor expansion of (sin x) in x 2.006 * [taylor]: Taking taylor expansion of x in x 2.006 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 2.006 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 2.006 * [taylor]: Taking taylor expansion of 0.5 in x 2.006 * [taylor]: Taking taylor expansion of x in x 2.048 * [approximate]: Taking taylor expansion of (* 3.0 (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) in (x) around 0 2.048 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) in x 2.048 * [taylor]: Taking taylor expansion of 3.0 in x 2.048 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 2.048 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.048 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.048 * [taylor]: Taking taylor expansion of x in x 2.049 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.049 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.049 * [taylor]: Taking taylor expansion of 0.5 in x 2.049 * [taylor]: Taking taylor expansion of x in x 2.049 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) in x 2.049 * [taylor]: Taking taylor expansion of 3.0 in x 2.049 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 2.049 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.049 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.049 * [taylor]: Taking taylor expansion of x in x 2.050 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.050 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.050 * [taylor]: Taking taylor expansion of 0.5 in x 2.050 * [taylor]: Taking taylor expansion of x in x 2.059 * [approximate]: Taking taylor expansion of (* 3.0 (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) in (x) around 0 2.059 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) in x 2.059 * [taylor]: Taking taylor expansion of 3.0 in x 2.059 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 2.059 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.059 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.059 * [taylor]: Taking taylor expansion of -1 in x 2.059 * [taylor]: Taking taylor expansion of 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 2.060 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) in x 2.060 * [taylor]: Taking taylor expansion of 3.0 in x 2.060 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 2.060 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.060 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.060 * [taylor]: Taking taylor expansion of -1 in x 2.060 * [taylor]: Taking taylor expansion of x in x 2.060 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.060 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.060 * [taylor]: Taking taylor expansion of -0.5 in x 2.060 * [taylor]: Taking taylor expansion of x in x 2.069 * * * [progress]: simplifying candidates 2.070 * [simplify]: Simplifying using # : (expm1 (/ (* 8.0 (sin (* 0.5 x))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (log1p (/ (* 8.0 (sin (* 0.5 x))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (- (+ (log 8.0) (log (sin (* 0.5 x)))) (+ (- (log (sin x)) (log (sin (* 0.5 x)))) (log 3.0))) (- (+ (log 8.0) (log (sin (* 0.5 x)))) (+ (log (/ (sin x) (sin (* 0.5 x)))) (log 3.0))) (- (+ (log 8.0) (log (sin (* 0.5 x)))) (log (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (- (log (* 8.0 (sin (* 0.5 x)))) (+ (- (log (sin x)) (log (sin (* 0.5 x)))) (log 3.0))) (- (log (* 8.0 (sin (* 0.5 x)))) (+ (log (/ (sin x) (sin (* 0.5 x)))) (log 3.0))) (- (log (* 8.0 (sin (* 0.5 x)))) (log (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (log (/ (* 8.0 (sin (* 0.5 x))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (exp (/ (* 8.0 (sin (* 0.5 x))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (/ (* (* (* 8.0 8.0) 8.0) (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x)))) (* (/ (* (* (sin x) (sin x)) (sin x)) (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x)))) (* (* 3.0 3.0) 3.0))) (/ (* (* (* 8.0 8.0) 8.0) (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x)))) (* (* (* (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 x)))) (* (* 3.0 3.0) 3.0))) (/ (* (* (* 8.0 8.0) 8.0) (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x)))) (* (* (* (/ (sin x) (sin (* 0.5 x))) 3.0) (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (/ (* (* (* 8.0 (sin (* 0.5 x))) (* 8.0 (sin (* 0.5 x)))) (* 8.0 (sin (* 0.5 x)))) (* (/ (* (* (sin x) (sin x)) (sin x)) (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x)))) (* (* 3.0 3.0) 3.0))) (/ (* (* (* 8.0 (sin (* 0.5 x))) (* 8.0 (sin (* 0.5 x)))) (* 8.0 (sin (* 0.5 x)))) (* (* (* (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 x)))) (* (* 3.0 3.0) 3.0))) (/ (* (* (* 8.0 (sin (* 0.5 x))) (* 8.0 (sin (* 0.5 x)))) (* 8.0 (sin (* 0.5 x)))) (* (* (* (/ (sin x) (sin (* 0.5 x))) 3.0) (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (* (cbrt (/ (* 8.0 (sin (* 0.5 x))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (cbrt (/ (* 8.0 (sin (* 0.5 x))) (* (/ (sin x) (sin (* 0.5 x))) 3.0)))) (cbrt (/ (* 8.0 (sin (* 0.5 x))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (* (* (/ (* 8.0 (sin (* 0.5 x))) (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (/ (* 8.0 (sin (* 0.5 x))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (/ (* 8.0 (sin (* 0.5 x))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (sqrt (/ (* 8.0 (sin (* 0.5 x))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (sqrt (/ (* 8.0 (sin (* 0.5 x))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (- (* 8.0 (sin (* 0.5 x)))) (- (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (/ 8.0 (/ (sin x) (sin (* 0.5 x)))) (/ (sin (* 0.5 x)) 3.0) (/ 1 (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (/ (* (/ (sin x) (sin (* 0.5 x))) 3.0) (* 8.0 (sin (* 0.5 x)))) (/ (* 8.0 (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x)))) (/ (* (/ (sin x) (sin (* 0.5 x))) 3.0) (sin (* 0.5 x))) (/ (* 8.0 (sin (* 0.5 x))) (* (sin x) 3.0)) (expm1 (/ (sin x) (sin (* 0.5 x)))) (log1p (/ (sin x) (sin (* 0.5 x)))) (- (log (sin x)) (log (sin (* 0.5 x)))) (log (/ (sin x) (sin (* 0.5 x)))) (exp (/ (sin x) (sin (* 0.5 x)))) (/ (* (* (sin x) (sin x)) (sin x)) (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x)))) (* (cbrt (/ (sin x) (sin (* 0.5 x)))) (cbrt (/ (sin x) (sin (* 0.5 x))))) (cbrt (/ (sin x) (sin (* 0.5 x)))) (* (* (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 x)))) (sqrt (/ (sin x) (sin (* 0.5 x)))) (sqrt (/ (sin x) (sin (* 0.5 x)))) (- (sin x)) (- (sin (* 0.5 x))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (cbrt (sin x)) (cbrt (sin (* 0.5 x)))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (sin (* 0.5 x)))) (/ (cbrt (sin x)) (sqrt (sin (* 0.5 x)))) (/ (* (cbrt (sin x)) (cbrt (sin x))) 1) (/ (cbrt (sin x)) (sin (* 0.5 x))) (/ (sqrt (sin x)) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (sqrt (sin x)) (cbrt (sin (* 0.5 x)))) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (/ (sqrt (sin x)) 1) (/ (sqrt (sin x)) (sin (* 0.5 x))) (/ 1 (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (sin x) (cbrt (sin (* 0.5 x)))) (/ 1 (sqrt (sin (* 0.5 x)))) (/ (sin x) (sqrt (sin (* 0.5 x)))) (/ 1 1) (/ (sin x) (sin (* 0.5 x))) (/ 1 (sin (* 0.5 x))) (/ (sin (* 0.5 x)) (sin x)) (/ (sin x) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (sin x) (sqrt (sin (* 0.5 x)))) (/ (sin x) 1) (/ (sin (* 0.5 x)) (cbrt (sin x))) (/ (sin (* 0.5 x)) (sqrt (sin x))) (/ (sin (* 0.5 x)) (sin x)) (expm1 (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (log1p (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (* (/ (sin x) (sin (* 0.5 x))) 3.0) (+ (- (log (sin x)) (log (sin (* 0.5 x)))) (log 3.0)) (+ (log (/ (sin x) (sin (* 0.5 x)))) (log 3.0)) (log (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (exp (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (* (/ (* (* (sin x) (sin x)) (sin x)) (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x)))) (* (* 3.0 3.0) 3.0)) (* (* (* (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 x)))) (* (* 3.0 3.0) 3.0)) (* (cbrt (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (cbrt (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (cbrt (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (* (* (* (/ (sin x) (sin (* 0.5 x))) 3.0) (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (sqrt (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (sqrt (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (* (sqrt (/ (sin x) (sin (* 0.5 x)))) (sqrt 3.0)) (* (sqrt (/ (sin x) (sin (* 0.5 x)))) (sqrt 3.0)) (* (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (sqrt 3.0)) (* (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (sqrt 3.0)) (* (/ (sin x) (sin (* 0.5 x))) (* (cbrt 3.0) (cbrt 3.0))) (* (/ (sin x) (sin (* 0.5 x))) (sqrt 3.0)) (* (/ (sin x) (sin (* 0.5 x))) 1) (* (cbrt (/ (sin x) (sin (* 0.5 x)))) 3.0) (* (sqrt (/ (sin x) (sin (* 0.5 x)))) 3.0) (* (/ (cbrt (sin x)) (cbrt (sin (* 0.5 x)))) 3.0) (* (/ (cbrt (sin x)) (sqrt (sin (* 0.5 x)))) 3.0) (* (/ (cbrt (sin x)) (sin (* 0.5 x))) 3.0) (* (/ (sqrt (sin x)) (cbrt (sin (* 0.5 x)))) 3.0) (* (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) 3.0) (* (/ (sqrt (sin x)) (sin (* 0.5 x))) 3.0) (* (/ (sin x) (cbrt (sin (* 0.5 x)))) 3.0) (* (/ (sin x) (sqrt (sin (* 0.5 x)))) 3.0) (* (/ (sin x) (sin (* 0.5 x))) 3.0) (* (/ (sin x) (sin (* 0.5 x))) 3.0) (* (/ 1 (sin (* 0.5 x))) 3.0) (* (sin x) 3.0) (+ (* 0.05555555555555555 (pow x 3)) (+ (* 0.005555555555555554 (pow x 5)) (* 0.6666666666666666 x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (- (+ (* 0.005208333333333334 (pow x 4)) 2.0) (* 0.25 (pow x 2))) (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x))) (- (+ (* 0.015625 (pow x 4)) 6.0) (* 0.75 (pow x 2))) (* 3.0 (/ (sin x) (sin (* 0.5 x)))) (* 3.0 (/ (sin x) (sin (* 0.5 x)))) 2.078 * * [simplify]: iteration 0 : 426 enodes (cost 912 ) 2.088 * * [simplify]: iteration 1 : 2190 enodes (cost 739 ) 2.125 * * [simplify]: iteration 2 : 5001 enodes (cost 723 ) 2.129 * [simplify]: Simplified to: (expm1 (/ (* 8.0 (sin (* 0.5 x))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (log1p (/ (* 8.0 (sin (* 0.5 x))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (+ (log (/ (pow (sin (* 0.5 x)) 2) (sin x))) (log (/ 8.0 3.0))) (+ (log (/ (pow (sin (* 0.5 x)) 2) (sin x))) (log (/ 8.0 3.0))) (+ (log (/ (pow (sin (* 0.5 x)) 2) (sin x))) (log (/ 8.0 3.0))) (+ (log (/ (pow (sin (* 0.5 x)) 2) (sin x))) (log (/ 8.0 3.0))) (+ (log (/ (pow (sin (* 0.5 x)) 2) (sin x))) (log (/ 8.0 3.0))) (+ (log (/ (pow (sin (* 0.5 x)) 2) (sin x))) (log (/ 8.0 3.0))) (+ (log (/ (pow (sin (* 0.5 x)) 2) (sin x))) (log (/ 8.0 3.0))) (pow (exp (/ (pow (sin (* 0.5 x)) 2) (sin x))) 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x))) (cbrt (sin (* 0.5 x))))) (/ (sqrt (sin x)) (cbrt (sin (* 0.5 x)))) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (sqrt (sin x)) (/ (sqrt (sin x)) (sin (* 0.5 x))) (/ 1 (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (sin x) (cbrt (sin (* 0.5 x)))) (/ 1 (sqrt (sin (* 0.5 x)))) (/ (sin x) (sqrt (sin (* 0.5 x)))) 1 (/ (sin x) (sin (* 0.5 x))) (/ 1 (sin (* 0.5 x))) (/ (sin (* 0.5 x)) (sin x)) (/ (sin x) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (sin x) (sqrt (sin (* 0.5 x)))) (sin x) (/ (sin (* 0.5 x)) (cbrt (sin x))) (/ (sin (* 0.5 x)) (sqrt (sin x))) (/ (sin (* 0.5 x)) (sin x)) (expm1 (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (log1p (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (* (/ (sin x) (sin (* 0.5 x))) 3.0) (log (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (log (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (log (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (exp (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (pow (* (/ (sin x) (sin (* 0.5 x))) 3.0) 3) (pow (* (/ (sin x) (sin (* 0.5 x))) 3.0) 3) (* (cbrt (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (cbrt (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (cbrt (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (pow (* (/ (sin x) (sin (* 0.5 x))) 3.0) 3) (sqrt (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (sqrt (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (* (sqrt (/ (sin x) (sin (* 0.5 x)))) (sqrt 3.0)) (* (sqrt (/ (sin x) (sin (* 0.5 x)))) (sqrt 3.0)) (* (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (sqrt 3.0)) (* (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (sqrt 3.0)) (* (/ (sin x) (sin (* 0.5 x))) (* (cbrt 3.0) (cbrt 3.0))) (* (/ (sin x) (sin (* 0.5 x))) (sqrt 3.0)) (/ (sin x) (sin (* 0.5 x))) (* (cbrt (/ (sin x) (sin (* 0.5 x)))) 3.0) (* (sqrt (/ (sin x) (sin (* 0.5 x)))) 3.0) (* (/ (cbrt (sin x)) (cbrt (sin (* 0.5 x)))) 3.0) (* (/ (cbrt (sin x)) (sqrt (sin (* 0.5 x)))) 3.0) (* (/ (cbrt (sin x)) (sin (* 0.5 x))) 3.0) (* (/ (sqrt (sin x)) (cbrt (sin (* 0.5 x)))) 3.0) (* (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) 3.0) (* (/ (sqrt (sin x)) (sin (* 0.5 x))) 3.0) (* (/ (sin x) (cbrt (sin (* 0.5 x)))) 3.0) (* (/ (sin x) (sqrt (sin (* 0.5 x)))) 3.0) (* (/ (sin x) (sin (* 0.5 x))) 3.0) (* (/ (sin x) (sin (* 0.5 x))) 3.0) (/ 3.0 (sin (* 0.5 x))) (* (sin x) 3.0) (fma 0.05555555555555555 (pow x 3) (fma 0.005555555555555554 (pow x 5) (* 0.6666666666666666 x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (fma (pow x 4) 0.005208333333333334 (- 2.0 (* 0.25 (pow x 2)))) (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x))) (fma (pow x 4) 0.015625 (- 6.0 (* 0.75 (pow x 2)))) (* (/ (sin x) (sin (* 0.5 x))) 3.0) (* (/ (sin x) (sin (* 0.5 x))) 3.0) 2.130 * * * [progress]: adding candidates to table 2.356 * [progress]: [Phase 3 of 3] Extracting. 2.356 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 2.357 * * * [regime-changes]: Trying 1 branch expressions: (x) 2.357 * * * * [regimes]: Trying to branch on x from (# # # # # # # # #) 2.392 * * * [regime]: Found split indices: #