11.185 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.066 * * * [progress]: [2/2] Setting up program. 0.068 * [progress]: [Phase 2 of 3] Improving. 0.069 * [simplify]: Simplifying using # : (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x)) 0.069 * [simplify]: Sending expressions to egg_math: (/ (* (* (/ h0 h1) (sin (* h2 h3))) (sin (* h2 h3))) (sin h2)) 0.072 * * [simplify]: iteration 0 : 20 enodes (cost 9 ) 0.075 * * [simplify]: iteration 1 : 43 enodes (cost 9 ) 0.078 * * [simplify]: iteration 2 : 93 enodes (cost 9 ) 0.082 * * [simplify]: iteration 3 : 174 enodes (cost 9 ) 0.087 * * [simplify]: iteration 4 : 269 enodes (cost 9 ) 0.093 * * [simplify]: iteration 5 : 288 enodes (cost 9 ) 0.099 * * [simplify]: iteration 6 : 288 enodes (cost 9 ) 0.099 * [simplify]: Simplified to: (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x)) 0.099 * * [progress]: iteration 1 / 4 0.100 * * * [progress]: picking best candidate 0.102 * * * * [pick]: Picked # 0.102 * * * [progress]: localizing error 0.114 * * * [progress]: generating rewritten candidates 0.114 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.182 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.212 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.281 * * * [progress]: generating series expansions 0.281 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.282 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in (x) around 0 0.282 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.282 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.282 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 0.282 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.282 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.282 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.282 * [taylor]: Taking taylor expansion of 0.5 in x 0.282 * [taylor]: Taking taylor expansion of x in x 0.285 * [taylor]: Taking taylor expansion of (sin x) in x 0.285 * [taylor]: Taking taylor expansion of x in x 0.287 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.287 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.287 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 0.287 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) 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 0.290 * [taylor]: Taking taylor expansion of (sin x) in x 0.290 * [taylor]: Taking taylor expansion of x in x 0.333 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in (x) around 0 0.333 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 0.334 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.334 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 0.334 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.334 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.334 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.334 * [taylor]: Taking taylor expansion of 0.5 in x 0.334 * [taylor]: Taking taylor expansion of x in x 0.334 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.334 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.334 * [taylor]: Taking taylor expansion of x in x 0.335 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 0.335 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.335 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 0.335 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.335 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.335 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.335 * [taylor]: Taking taylor expansion of 0.5 in x 0.335 * [taylor]: Taking taylor expansion of x in x 0.335 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.335 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.335 * [taylor]: Taking taylor expansion of x in x 0.351 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in (x) around 0 0.351 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.351 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.351 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 0.351 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.351 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.352 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.352 * [taylor]: Taking taylor expansion of -0.5 in x 0.352 * [taylor]: Taking taylor expansion of x in x 0.352 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.352 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.352 * [taylor]: Taking taylor expansion of -1 in x 0.352 * [taylor]: Taking taylor expansion of x in x 0.353 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.353 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.353 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 0.353 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.353 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.353 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.353 * [taylor]: Taking taylor expansion of -0.5 in x 0.353 * [taylor]: Taking taylor expansion of x in x 0.353 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.353 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.353 * [taylor]: Taking taylor expansion of -1 in x 0.353 * [taylor]: Taking taylor expansion of x in x 0.375 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.376 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in (x) around 0 0.376 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 0.376 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.376 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.376 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.376 * [taylor]: Taking taylor expansion of 0.5 in x 0.376 * [taylor]: Taking taylor expansion of x in x 0.378 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 0.378 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.378 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.378 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.378 * [taylor]: Taking taylor expansion of 0.5 in x 0.378 * [taylor]: Taking taylor expansion of x in x 0.402 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in (x) around 0 0.402 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 0.402 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.402 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.402 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.402 * [taylor]: Taking taylor expansion of 0.5 in x 0.402 * [taylor]: Taking taylor expansion of x in x 0.403 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 0.403 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.403 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.403 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.403 * [taylor]: Taking taylor expansion of 0.5 in x 0.403 * [taylor]: Taking taylor expansion of x in x 0.409 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in (x) around 0 0.409 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 0.410 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.410 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.410 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.410 * [taylor]: Taking taylor expansion of -0.5 in x 0.410 * [taylor]: Taking taylor expansion of x in x 0.410 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 0.410 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.410 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.410 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.410 * [taylor]: Taking taylor expansion of -0.5 in x 0.410 * [taylor]: Taking taylor expansion of x in x 0.416 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.416 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (* 0.5 x)) 2)) in (x) around 0 0.417 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (* 0.5 x)) 2)) in x 0.417 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.417 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.417 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.417 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.417 * [taylor]: Taking taylor expansion of 0.5 in x 0.417 * [taylor]: Taking taylor expansion of x in x 0.420 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (* 0.5 x)) 2)) in x 0.420 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.420 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.420 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.420 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.420 * [taylor]: Taking taylor expansion of 0.5 in x 0.420 * [taylor]: Taking taylor expansion of x in x 0.451 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ 0.5 x)) 2)) in (x) around 0 0.451 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ 0.5 x)) 2)) in x 0.451 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.451 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.451 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.451 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.451 * [taylor]: Taking taylor expansion of 0.5 in x 0.451 * [taylor]: Taking taylor expansion of x in x 0.451 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ 0.5 x)) 2)) in x 0.451 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.451 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.451 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.451 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.451 * [taylor]: Taking taylor expansion of 0.5 in x 0.451 * [taylor]: Taking taylor expansion of x in x 0.470 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ -0.5 x)) 2)) in (x) around 0 0.471 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ -0.5 x)) 2)) in x 0.471 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.471 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.471 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.471 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.471 * [taylor]: Taking taylor expansion of -0.5 in x 0.471 * [taylor]: Taking taylor expansion of x in x 0.471 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ -0.5 x)) 2)) in x 0.471 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.471 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.471 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.471 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.471 * [taylor]: Taking taylor expansion of -0.5 in x 0.471 * [taylor]: Taking taylor expansion of x in x 0.483 * * * [progress]: simplifying candidates 0.484 * [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)) 0.485 * [simplify]: Sending expressions to egg_math: (expm1 (/ (* (* (/ h0 h1) (sin (* h2 h3))) (sin (* h2 h3))) (sin h2))) (log1p (/ (* (* (/ h0 h1) (sin (* h2 h3))) (sin (* h2 h3))) (sin h2))) (- (+ (+ (- (log h0) (log h1)) (log (sin (* h2 h3)))) (log (sin (* h2 h3)))) (log (sin h2))) (- (+ (+ (log (/ h0 h1)) (log (sin (* h2 h3)))) (log (sin (* h2 h3)))) (log (sin h2))) (- (+ (log (* (/ h0 h1) (sin (* h2 h3)))) (log (sin (* h2 h3)))) (log (sin h2))) (- (log (* (* (/ h0 h1) (sin (* h2 h3))) (sin (* h2 h3)))) (log (sin h2))) (log (/ (* (* (/ h0 h1) (sin (* h2 h3))) (sin (* h2 h3))) (sin h2))) (exp (/ (* (* (/ h0 h1) (sin (* h2 h3))) (sin (* h2 h3))) (sin h2))) (/ (* (* (/ (* (* h0 h0) h0) (* (* h1 h1) h1)) (* (* (sin (* h2 h3)) (sin (* h2 h3))) (sin (* h2 h3)))) (* (* (sin (* h2 h3)) (sin (* h2 h3))) (sin (* h2 h3)))) (* (* (sin h2) (sin h2)) (sin h2))) (/ (* (* (* (* (/ h0 h1) (/ h0 h1)) (/ h0 h1)) (* (* (sin (* h2 h3)) (sin (* h2 h3))) (sin (* h2 h3)))) (* (* (sin (* h2 h3)) (sin (* h2 h3))) (sin (* h2 h3)))) (* (* (sin h2) (sin h2)) (sin h2))) (/ (* (* (* (* (/ h0 h1) (sin (* h2 h3))) (* (/ h0 h1) (sin (* h2 h3)))) (* (/ h0 h1) (sin (* h2 h3)))) (* (* (sin (* h2 h3)) (sin (* h2 h3))) (sin (* h2 h3)))) (* (* (sin h2) (sin h2)) (sin h2))) (/ (* (* (* (* (/ h0 h1) (sin (* h2 h3))) (sin (* h2 h3))) (* (* (/ h0 h1) (sin (* h2 h3))) (sin (* h2 h3)))) (* (* (/ h0 h1) (sin (* h2 h3))) (sin (* h2 h3)))) (* (* (sin h2) (sin h2)) (sin h2))) (* (cbrt (/ (* (* (/ h0 h1) (sin (* h2 h3))) (sin (* h2 h3))) (sin h2))) (cbrt (/ (* (* (/ h0 h1) (sin (* h2 h3))) (sin (* h2 h3))) (sin h2)))) (cbrt (/ (* (* (/ h0 h1) (sin (* h2 h3))) (sin (* h2 h3))) (sin h2))) (* (* (/ (* (* (/ h0 h1) (sin (* h2 h3))) (sin (* h2 h3))) (sin h2)) (/ (* (* (/ h0 h1) (sin (* h2 h3))) (sin (* h2 h3))) (sin h2))) (/ (* (* (/ h0 h1) (sin (* h2 h3))) (sin (* h2 h3))) (sin h2))) (sqrt (/ (* (* (/ h0 h1) (sin (* h2 h3))) (sin (* h2 h3))) (sin h2))) (sqrt (/ (* (* (/ h0 h1) (sin (* h2 h3))) (sin (* h2 h3))) (sin h2))) (- (* (* (/ h0 h1) (sin (* h2 h3))) (sin (* h2 h3)))) (- (sin h2)) (/ (* (/ h0 h1) (sin (* h2 h3))) (* (cbrt (sin h2)) (cbrt (sin h2)))) (/ (sin (* h2 h3)) (cbrt (sin h2))) (/ (* (/ h0 h1) (sin (* h2 h3))) (sqrt (sin h2))) (/ (sin (* h2 h3)) (sqrt (sin h2))) (/ (* (/ h0 h1) (sin (* h2 h3))) 1) (/ (sin (* h2 h3)) (sin h2)) (/ 1 (sin h2)) (/ (sin h2) (* (* (/ h0 h1) (sin (* h2 h3))) (sin (* h2 h3)))) (/ (* (* (/ h0 h1) (sin (* h2 h3))) (sin (* h2 h3))) (* (cbrt (sin h2)) (cbrt (sin h2)))) (/ (* (* (/ h0 h1) (sin (* h2 h3))) (sin (* h2 h3))) (sqrt (sin h2))) (/ (* (* (/ h0 h1) (sin (* h2 h3))) (sin (* h2 h3))) 1) (/ (sin h2) (sin (* h2 h3))) (* (sin h2) h1) (expm1 (* (/ h0 h1) (sin (* h2 h3)))) (log1p (* (/ h0 h1) (sin (* h2 h3)))) (* (/ h0 h1) (sin (* h2 h3))) (+ (- (log h0) (log h1)) (log (sin (* h2 h3)))) (+ (log (/ h0 h1)) (log (sin (* h2 h3)))) (log (* (/ h0 h1) (sin (* h2 h3)))) (exp (* (/ h0 h1) (sin (* h2 h3)))) (* (/ (* (* h0 h0) h0) (* (* h1 h1) h1)) (* (* (sin (* h2 h3)) (sin (* h2 h3))) (sin (* h2 h3)))) (* (* (* (/ h0 h1) (/ h0 h1)) (/ h0 h1)) (* (* (sin (* h2 h3)) (sin (* h2 h3))) (sin (* h2 h3)))) (* (cbrt (* (/ h0 h1) (sin (* h2 h3)))) (cbrt (* (/ h0 h1) (sin (* h2 h3))))) (cbrt (* (/ h0 h1) (sin (* h2 h3)))) (* (* (* (/ h0 h1) (sin (* h2 h3))) (* (/ h0 h1) (sin (* h2 h3)))) (* (/ h0 h1) (sin (* h2 h3)))) (sqrt (* (/ h0 h1) (sin (* h2 h3)))) (sqrt (* (/ h0 h1) (sin (* h2 h3)))) (* (sqrt (/ h0 h1)) (sqrt (sin (* h2 h3)))) (* (sqrt (/ h0 h1)) (sqrt (sin (* h2 h3)))) (* (/ (sqrt h0) (sqrt h1)) (sqrt (sin (* h2 h3)))) (* (/ (sqrt h0) (sqrt h1)) (sqrt (sin (* h2 h3)))) (* (/ h0 h1) (* (cbrt (sin (* h2 h3))) (cbrt (sin (* h2 h3))))) (* (/ h0 h1) (sqrt (sin (* h2 h3)))) (* (/ h0 h1) 1) (* (cbrt (/ h0 h1)) (sin (* h2 h3))) (* (sqrt (/ h0 h1)) (sin (* h2 h3))) (* (/ (cbrt h0) (cbrt h1)) (sin (* h2 h3))) (* (/ (cbrt h0) (sqrt h1)) (sin (* h2 h3))) (* (/ (cbrt h0) h1) (sin (* h2 h3))) (* (/ (sqrt h0) (cbrt h1)) (sin (* h2 h3))) (* (/ (sqrt h0) (sqrt h1)) (sin (* h2 h3))) (* (/ (sqrt h0) h1) (sin (* h2 h3))) (* (/ h0 (cbrt h1)) (sin (* h2 h3))) (* (/ h0 (sqrt h1)) (sin (* h2 h3))) (* (/ h0 h1) (sin (* h2 h3))) (* (/ h0 h1) (sin (* h2 h3))) (* (/ 1 h1) (sin (* h2 h3))) (* h0 (sin (* h2 h3))) (expm1 (* (* (/ h0 h1) (sin (* h2 h3))) (sin (* h2 h3)))) (log1p (* (* (/ h0 h1) (sin (* h2 h3))) (sin (* h2 h3)))) (* (* (/ h0 h1) (sin (* h2 h3))) (sin (* h2 h3))) (* (* (/ h0 h1) (sin (* h2 h3))) (sin (* h2 h3))) (+ (+ (- (log h0) (log h1)) (log (sin (* h2 h3)))) (log (sin (* h2 h3)))) (+ (+ (log (/ h0 h1)) (log (sin (* h2 h3)))) (log (sin (* h2 h3)))) (+ (log (* (/ h0 h1) (sin (* h2 h3)))) (log (sin (* h2 h3)))) (log (* (* (/ h0 h1) (sin (* h2 h3))) (sin (* h2 h3)))) (exp (* (* (/ h0 h1) (sin (* h2 h3))) (sin (* h2 h3)))) (* (* (/ (* (* h0 h0) h0) (* (* h1 h1) h1)) (* (* (sin (* h2 h3)) (sin (* h2 h3))) (sin (* h2 h3)))) (* (* (sin (* h2 h3)) (sin (* h2 h3))) (sin (* h2 h3)))) (* (* (* (* (/ h0 h1) (/ h0 h1)) (/ h0 h1)) (* (* (sin (* h2 h3)) (sin (* h2 h3))) (sin (* h2 h3)))) (* (* (sin (* h2 h3)) (sin (* h2 h3))) (sin (* h2 h3)))) (* (* (* (* (/ h0 h1) (sin (* h2 h3))) (* (/ h0 h1) (sin (* h2 h3)))) (* (/ h0 h1) (sin (* h2 h3)))) (* (* (sin (* h2 h3)) (sin (* h2 h3))) (sin (* h2 h3)))) (* (cbrt (* (* (/ h0 h1) (sin (* h2 h3))) (sin (* h2 h3)))) (cbrt (* (* (/ h0 h1) (sin (* h2 h3))) (sin (* h2 h3))))) (cbrt (* (* (/ h0 h1) (sin (* h2 h3))) (sin (* h2 h3)))) (* (* (* (* (/ h0 h1) (sin (* h2 h3))) (sin (* h2 h3))) (* (* (/ h0 h1) (sin (* h2 h3))) (sin (* h2 h3)))) (* (* (/ h0 h1) (sin (* h2 h3))) (sin (* h2 h3)))) (sqrt (* (* (/ h0 h1) (sin (* h2 h3))) (sin (* h2 h3)))) (sqrt (* (* (/ h0 h1) (sin (* h2 h3))) (sin (* h2 h3)))) (* (* (/ h0 h1) (sin (* h2 h3))) (* (cbrt (sin (* h2 h3))) (cbrt (sin (* h2 h3))))) (* (* (/ h0 h1) (sin (* h2 h3))) (sqrt (sin (* h2 h3)))) (* (* (/ h0 h1) (sin (* h2 h3))) 1) (* (sin (* h2 h3)) (sin (* h2 h3))) (* (* h0 (sin (* h2 h3))) (sin (* h2 h3))) (+ (* h4 (pow h2 3)) (+ (* h5 (pow h2 5)) (* h6 h2))) (* h7 (/ (pow (sin (* h3 h2)) 2) (sin h2))) (* h7 (/ (pow (sin (* h3 h2)) 2) (sin h2))) (- (+ (* h8 h2) (* h9 (pow h2 5))) (* h4 (pow h2 3))) (* h7 (sin (* h3 h2))) (* h7 (sin (* h3 h2))) (- (+ (* h6 (pow h2 2)) (* h10 (pow h2 6))) (* h4 (pow h2 4))) (* h7 (pow (sin (* h3 h2)) 2)) (* h7 (pow (sin (* h3 h2)) 2)) 0.493 * * [simplify]: iteration 0 : 412 enodes (cost 862 ) 0.507 * * [simplify]: iteration 1 : 2127 enodes (cost 656 ) 0.551 * * [simplify]: iteration 2 : 5001 enodes (cost 637 ) 0.555 * [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)) 0.556 * * * [progress]: adding candidates to table 0.812 * * [progress]: iteration 2 / 4 0.812 * * * [progress]: picking best candidate 0.847 * * * * [pick]: Picked # 0.847 * * * [progress]: localizing error 0.864 * * * [progress]: generating rewritten candidates 0.864 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.892 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.904 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.947 * * * [progress]: generating series expansions 0.947 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.948 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in (x) around 0 0.948 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 0.948 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.949 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.949 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.949 * [taylor]: Taking taylor expansion of 0.5 in x 0.949 * [taylor]: Taking taylor expansion of x in x 0.950 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 0.950 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.950 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.950 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.950 * [taylor]: Taking taylor expansion of 0.5 in x 0.950 * [taylor]: Taking taylor expansion of x in x 0.976 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in (x) around 0 0.976 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 0.976 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.976 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.976 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.976 * [taylor]: Taking taylor expansion of 0.5 in x 0.976 * [taylor]: Taking taylor expansion of x in x 0.977 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 0.977 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.977 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.977 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.977 * [taylor]: Taking taylor expansion of 0.5 in x 0.977 * [taylor]: Taking taylor expansion of x in x 0.983 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in (x) around 0 0.984 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 0.984 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.984 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.984 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.984 * [taylor]: Taking taylor expansion of -0.5 in x 0.984 * [taylor]: Taking taylor expansion of x in x 0.984 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 0.984 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.984 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.984 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.984 * [taylor]: Taking taylor expansion of -0.5 in x 0.984 * [taylor]: Taking taylor expansion of x in x 0.990 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.991 * [approximate]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in (x) around 0 0.991 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 0.991 * [taylor]: Taking taylor expansion of (sin x) in x 0.991 * [taylor]: Taking taylor expansion of x in x 0.991 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.991 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.991 * [taylor]: Taking taylor expansion of 0.5 in x 0.991 * [taylor]: Taking taylor expansion of x in x 0.994 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 0.994 * [taylor]: Taking taylor expansion of (sin x) in x 0.995 * [taylor]: Taking taylor expansion of x in x 0.995 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.995 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.995 * [taylor]: Taking taylor expansion of 0.5 in x 0.995 * [taylor]: Taking taylor expansion of x in x 1.034 * [approximate]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in (x) around 0 1.034 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 1.034 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.034 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.034 * [taylor]: Taking taylor expansion of x in x 1.035 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.035 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.035 * [taylor]: Taking taylor expansion of 0.5 in x 1.035 * [taylor]: Taking taylor expansion of x in x 1.035 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 1.035 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.035 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.035 * [taylor]: Taking taylor expansion of x in x 1.036 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.036 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.036 * [taylor]: Taking taylor expansion of 0.5 in x 1.036 * [taylor]: Taking taylor expansion of x in x 1.038 * [approximate]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in (x) around 0 1.038 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 1.038 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.038 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.038 * [taylor]: Taking taylor expansion of -1 in x 1.038 * [taylor]: Taking taylor expansion of x in x 1.039 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.039 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.039 * [taylor]: Taking taylor expansion of -0.5 in x 1.039 * [taylor]: Taking taylor expansion of x in x 1.039 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 1.039 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.039 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.039 * [taylor]: Taking taylor expansion of -1 in x 1.039 * [taylor]: Taking taylor expansion of x in x 1.040 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.040 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.040 * [taylor]: Taking taylor expansion of -0.5 in x 1.040 * [taylor]: Taking taylor expansion of x in x 1.042 * * * * [progress]: [ 3 / 3 ] generating series at (2) 1.043 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in (x) around 0 1.043 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 1.043 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.043 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 1.043 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 1.043 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.043 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.043 * [taylor]: Taking taylor expansion of 0.5 in x 1.043 * [taylor]: Taking taylor expansion of x in x 1.046 * [taylor]: Taking taylor expansion of (sin x) in x 1.046 * [taylor]: Taking taylor expansion of x in x 1.048 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 1.048 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.048 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 1.048 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 1.048 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.048 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.048 * [taylor]: Taking taylor expansion of 0.5 in x 1.048 * [taylor]: Taking taylor expansion of x in x 1.051 * [taylor]: Taking taylor expansion of (sin x) in x 1.051 * [taylor]: Taking taylor expansion of x in x 1.090 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in (x) around 0 1.090 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 1.090 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.090 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 1.090 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 1.090 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.090 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.090 * [taylor]: Taking taylor expansion of 0.5 in x 1.090 * [taylor]: Taking taylor expansion of x in x 1.091 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.091 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.091 * [taylor]: Taking taylor expansion of x in x 1.091 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 1.091 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.091 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 1.091 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 1.091 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.091 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.091 * [taylor]: Taking taylor expansion of 0.5 in x 1.091 * [taylor]: Taking taylor expansion of x in x 1.092 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.092 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.092 * [taylor]: Taking taylor expansion of x in x 1.112 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in (x) around 0 1.112 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 1.112 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.112 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 1.112 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 1.112 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.112 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.112 * [taylor]: Taking taylor expansion of -0.5 in x 1.112 * [taylor]: Taking taylor expansion of x in x 1.112 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.113 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.113 * [taylor]: Taking taylor expansion of -1 in x 1.113 * [taylor]: Taking taylor expansion of x in x 1.113 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 1.113 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.113 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 1.113 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 1.113 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.113 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.113 * [taylor]: Taking taylor expansion of -0.5 in x 1.113 * [taylor]: Taking taylor expansion of x in x 1.114 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.114 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.114 * [taylor]: Taking taylor expansion of -1 in x 1.114 * [taylor]: Taking taylor expansion of x in x 1.128 * * * [progress]: simplifying candidates 1.130 * [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 (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 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* 0.5 x))))) (log1p (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* 0.5 x))))) (- (+ (- (log 8.0) (log 3.0)) (log (sin (* x 0.5)))) (- (log (sin x)) (log (sin (* 0.5 x))))) (- (+ (- (log 8.0) (log 3.0)) (log (sin (* x 0.5)))) (log (/ (sin x) (sin (* 0.5 x))))) (- (+ (log (/ 8.0 3.0)) (log (sin (* x 0.5)))) (- (log (sin x)) (log (sin (* 0.5 x))))) (- (+ (log (/ 8.0 3.0)) (log (sin (* x 0.5)))) (log (/ (sin x) (sin (* 0.5 x))))) (- (log (* (/ 8.0 3.0) (sin (* x 0.5)))) (- (log (sin x)) (log (sin (* 0.5 x))))) (- (log (* (/ 8.0 3.0) (sin (* x 0.5)))) (log (/ (sin x) (sin (* 0.5 x))))) (log (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* 0.5 x))))) (exp (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* 0.5 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) (sin x)) (sin x)) (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 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) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 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) (sin x)) (sin x)) (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 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) (sin (* 0.5 x))) (/ (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)))) (* (/ 8.0 3.0) (sin (* x 0.5)))) (/ (* (* (sin x) (sin x)) (sin x)) (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (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 (* 0.5 x))) (/ (sin x) (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 x))))) (* (cbrt (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* 0.5 x))))) (cbrt (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* 0.5 x)))))) (cbrt (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* 0.5 x))))) (* (* (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* 0.5 x)))) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* 0.5 x))))) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* 0.5 x))))) (sqrt (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* 0.5 x))))) (sqrt (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* 0.5 x))))) (- (* (/ 8.0 3.0) (sin (* x 0.5)))) (- (/ (sin x) (sin (* 0.5 x)))) (/ (/ 8.0 3.0) (* (cbrt (/ (sin x) (sin (* 0.5 x)))) (cbrt (/ (sin x) (sin (* 0.5 x)))))) (/ (sin (* x 0.5)) (cbrt (/ (sin x) (sin (* 0.5 x))))) (/ (/ 8.0 3.0) (sqrt (/ (sin x) (sin (* 0.5 x))))) (/ (sin (* x 0.5)) (sqrt (/ (sin x) (sin (* 0.5 x))))) (/ (/ 8.0 3.0) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))))) (/ (sin (* x 0.5)) (/ (cbrt (sin x)) (cbrt (sin (* 0.5 x))))) (/ (/ 8.0 3.0) (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (sin (* 0.5 x))))) (/ (sin (* x 0.5)) (/ (cbrt (sin x)) (sqrt (sin (* 0.5 x))))) (/ (/ 8.0 3.0) (/ (* (cbrt (sin x)) (cbrt (sin x))) 1)) (/ (sin (* x 0.5)) (/ (cbrt (sin x)) (sin (* 0.5 x)))) (/ (/ 8.0 3.0) (/ (sqrt (sin x)) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))))) (/ (sin (* x 0.5)) (/ (sqrt (sin x)) (cbrt (sin (* 0.5 x))))) (/ (/ 8.0 3.0) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x))))) (/ (sin (* x 0.5)) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x))))) (/ (/ 8.0 3.0) (/ (sqrt (sin x)) 1)) (/ (sin (* x 0.5)) (/ (sqrt (sin x)) (sin (* 0.5 x)))) (/ (/ 8.0 3.0) (/ 1 (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))))) (/ (sin (* x 0.5)) (/ (sin x) (cbrt (sin (* 0.5 x))))) (/ (/ 8.0 3.0) (/ 1 (sqrt (sin (* 0.5 x))))) (/ (sin (* x 0.5)) (/ (sin x) (sqrt (sin (* 0.5 x))))) (/ (/ 8.0 3.0) (/ 1 1)) (/ (sin (* x 0.5)) (/ (sin x) (sin (* 0.5 x)))) (/ (/ 8.0 3.0) 1) (/ (sin (* x 0.5)) (/ (sin x) (sin (* 0.5 x)))) (/ (/ 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 (* x 0.5))) (/ 1 (sqrt (sin (* 0.5 x))))) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ 1 1)) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) 1) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (sin x)) (/ (/ (sin x) (sin (* 0.5 x))) (sin (* x 0.5))) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (sin x)) (* (/ (sin x) (sin (* 0.5 x))) 3.0) (- (+ (* 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))) (- (+ (* 0.005208333333333334 (pow x 4)) 2.0) (* 0.25 (pow x 2))) (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (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))) 1.130 * [simplify]: Sending expressions to egg_math: (expm1 (* (/ h0 h1) (sin (* h2 h3)))) (log1p (* (/ h0 h1) (sin (* h2 h3)))) (* (/ h0 h1) (sin (* h2 h3))) (+ (- (log h0) (log h1)) (log (sin (* h2 h3)))) (+ (log (/ h0 h1)) (log (sin (* h2 h3)))) (log (* (/ h0 h1) (sin (* h2 h3)))) (exp (* (/ h0 h1) (sin (* h2 h3)))) (* (/ (* (* h0 h0) h0) (* (* h1 h1) h1)) (* (* (sin (* h2 h3)) (sin (* h2 h3))) (sin (* h2 h3)))) (* (* (* (/ h0 h1) (/ h0 h1)) (/ h0 h1)) (* (* (sin (* h2 h3)) (sin (* h2 h3))) (sin (* h2 h3)))) (* (cbrt (* (/ h0 h1) (sin (* h2 h3)))) (cbrt (* (/ h0 h1) (sin (* h2 h3))))) (cbrt (* (/ h0 h1) (sin (* h2 h3)))) (* (* (* (/ h0 h1) (sin (* h2 h3))) (* (/ h0 h1) (sin (* h2 h3)))) (* (/ h0 h1) (sin (* h2 h3)))) (sqrt (* (/ h0 h1) (sin (* h2 h3)))) (sqrt (* (/ h0 h1) (sin (* h2 h3)))) (* (sqrt (/ h0 h1)) (sqrt (sin (* h2 h3)))) (* (sqrt (/ h0 h1)) (sqrt (sin (* h2 h3)))) (* (/ (sqrt h0) (sqrt h1)) (sqrt (sin (* h2 h3)))) (* (/ (sqrt h0) (sqrt h1)) (sqrt (sin (* h2 h3)))) (* (/ h0 h1) (* (cbrt (sin (* h2 h3))) (cbrt (sin (* h2 h3))))) (* (/ h0 h1) (sqrt (sin (* h2 h3)))) (* (/ h0 h1) 1) (* (cbrt (/ h0 h1)) (sin (* h2 h3))) (* (sqrt (/ h0 h1)) (sin (* h2 h3))) (* (/ (cbrt h0) (cbrt h1)) (sin (* h2 h3))) (* (/ (cbrt h0) (sqrt h1)) (sin (* h2 h3))) (* (/ (cbrt h0) h1) (sin (* h2 h3))) (* (/ (sqrt h0) (cbrt h1)) (sin (* h2 h3))) (* (/ (sqrt h0) (sqrt h1)) (sin (* h2 h3))) (* (/ (sqrt h0) h1) (sin (* h2 h3))) (* (/ h0 (cbrt h1)) (sin (* h2 h3))) (* (/ h0 (sqrt h1)) (sin (* h2 h3))) (* (/ h0 h1) (sin (* h2 h3))) (* (/ h0 h1) (sin (* h2 h3))) (* (/ 1 h1) (sin (* h2 h3))) (* h0 (sin (* h2 h3))) (expm1 (/ (sin h2) (sin (* h3 h2)))) (log1p (/ (sin h2) (sin (* h3 h2)))) (- (log (sin h2)) (log (sin (* h3 h2)))) (log (/ (sin h2) (sin (* h3 h2)))) (exp (/ (sin h2) (sin (* h3 h2)))) (/ (* (* (sin h2) (sin h2)) (sin h2)) (* (* (sin (* h3 h2)) (sin (* h3 h2))) (sin (* h3 h2)))) (* (cbrt (/ (sin h2) (sin (* h3 h2)))) (cbrt (/ (sin h2) (sin (* h3 h2))))) (cbrt (/ (sin h2) (sin (* h3 h2)))) (* (* (/ (sin h2) (sin (* h3 h2))) (/ (sin h2) (sin (* h3 h2)))) (/ (sin h2) (sin (* h3 h2)))) (sqrt (/ (sin h2) (sin (* h3 h2)))) (sqrt (/ (sin h2) (sin (* h3 h2)))) (- (sin h2)) (- (sin (* h3 h2))) (/ (* (cbrt (sin h2)) (cbrt (sin h2))) (* (cbrt (sin (* h3 h2))) (cbrt (sin (* h3 h2))))) (/ (cbrt (sin h2)) (cbrt (sin (* h3 h2)))) (/ (* (cbrt (sin h2)) (cbrt (sin h2))) (sqrt (sin (* h3 h2)))) (/ (cbrt (sin h2)) (sqrt (sin (* h3 h2)))) (/ (* (cbrt (sin h2)) (cbrt (sin h2))) 1) (/ (cbrt (sin h2)) (sin (* h3 h2))) (/ (sqrt (sin h2)) (* (cbrt (sin (* h3 h2))) (cbrt (sin (* h3 h2))))) (/ (sqrt (sin h2)) (cbrt (sin (* h3 h2)))) (/ (sqrt (sin h2)) (sqrt (sin (* h3 h2)))) (/ (sqrt (sin h2)) (sqrt (sin (* 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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))) 1.210 * * * [progress]: adding candidates to table 1.584 * * [progress]: iteration 3 / 4 1.584 * * * [progress]: picking best candidate 1.609 * * * * [pick]: Picked # 1.610 * * * [progress]: localizing error 1.622 * * * [progress]: generating rewritten candidates 1.622 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 1.639 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 1.664 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 2) 1.680 * * * [progress]: generating series expansions 1.680 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 1.680 * [approximate]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in (x) around 0 1.681 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 1.681 * [taylor]: Taking taylor expansion of (sin x) in x 1.681 * [taylor]: Taking taylor expansion of x in x 1.681 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.681 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.681 * [taylor]: Taking taylor expansion of 0.5 in x 1.681 * [taylor]: Taking taylor expansion of x in x 1.685 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 1.685 * [taylor]: Taking taylor expansion of (sin x) in x 1.685 * [taylor]: Taking taylor expansion of x in x 1.685 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.685 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.685 * [taylor]: Taking taylor expansion of 0.5 in x 1.685 * [taylor]: Taking taylor expansion of x in x 1.725 * [approximate]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in (x) around 0 1.725 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 1.725 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.725 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.725 * [taylor]: Taking taylor expansion of x in x 1.725 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.725 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.726 * [taylor]: Taking taylor expansion of 0.5 in x 1.726 * [taylor]: Taking taylor expansion of x in x 1.726 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 1.726 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.726 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.726 * [taylor]: Taking taylor expansion of x in x 1.726 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.726 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.726 * [taylor]: Taking taylor expansion of 0.5 in x 1.726 * [taylor]: Taking taylor expansion of x in x 1.729 * [approximate]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in (x) around 0 1.729 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 1.729 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.729 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.729 * [taylor]: Taking taylor expansion of -1 in x 1.729 * [taylor]: Taking taylor expansion of x in x 1.730 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.730 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.730 * [taylor]: Taking taylor expansion of -0.5 in x 1.730 * [taylor]: Taking taylor expansion of x in x 1.730 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 1.730 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.730 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.730 * [taylor]: Taking taylor expansion of -1 in x 1.730 * [taylor]: Taking taylor expansion of x in x 1.731 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.731 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.731 * [taylor]: Taking taylor expansion of -0.5 in x 1.731 * [taylor]: Taking taylor expansion of x in x 1.733 * * * * [progress]: [ 2 / 3 ] generating series at (2) 1.733 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in (x) around 0 1.733 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 1.733 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.733 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 1.734 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 1.734 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.734 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.734 * [taylor]: Taking taylor expansion of 0.5 in x 1.734 * [taylor]: Taking taylor expansion of x in x 1.737 * [taylor]: Taking taylor expansion of (sin x) in x 1.737 * [taylor]: Taking taylor expansion of x in x 1.738 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 1.738 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.738 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 1.738 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 1.738 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.738 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.738 * [taylor]: Taking taylor expansion of 0.5 in x 1.738 * [taylor]: Taking taylor expansion of x in x 1.741 * [taylor]: Taking taylor expansion of (sin x) in x 1.741 * [taylor]: Taking taylor expansion of x in x 1.782 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in (x) around 0 1.782 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 1.782 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.782 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 1.782 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 1.782 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.782 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.782 * [taylor]: Taking taylor expansion of 0.5 in x 1.782 * [taylor]: Taking taylor expansion of x in x 1.783 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.783 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.783 * [taylor]: Taking taylor expansion of x in x 1.784 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 1.784 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.784 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 1.784 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 1.784 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.784 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.784 * [taylor]: Taking taylor expansion of 0.5 in x 1.784 * [taylor]: Taking taylor expansion of x in x 1.784 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.784 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.784 * [taylor]: Taking taylor expansion of x in x 1.800 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in (x) around 0 1.800 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 1.800 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.800 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 1.800 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 1.800 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.800 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.800 * [taylor]: Taking taylor expansion of -0.5 in x 1.800 * [taylor]: Taking taylor expansion of x in x 1.800 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.800 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.800 * [taylor]: Taking taylor expansion of -1 in x 1.800 * [taylor]: Taking taylor expansion of x in x 1.801 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 1.801 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.801 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 1.801 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 1.801 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.801 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.801 * [taylor]: Taking taylor expansion of -0.5 in x 1.801 * [taylor]: Taking taylor expansion of x in x 1.802 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.802 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.808 * [taylor]: Taking taylor expansion of -1 in x 1.808 * [taylor]: Taking taylor expansion of x in x 1.824 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 2) 1.824 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (sin (* 0.5 x))) in (x) around 0 1.824 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (* 0.5 x))) in x 1.824 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.824 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.824 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.824 * [taylor]: Taking taylor expansion of 0.5 in x 1.824 * [taylor]: Taking taylor expansion of x in x 1.826 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (* 0.5 x))) in x 1.826 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.826 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.826 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.826 * [taylor]: Taking taylor expansion of 0.5 in x 1.826 * [taylor]: Taking taylor expansion of x in x 1.849 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ 0.5 x))) in (x) around 0 1.849 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ 0.5 x))) in x 1.849 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.849 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.849 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.849 * [taylor]: Taking taylor expansion of 0.5 in x 1.849 * [taylor]: Taking taylor expansion of x in x 1.850 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ 0.5 x))) in x 1.850 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.850 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.850 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.850 * [taylor]: Taking taylor expansion of 0.5 in x 1.850 * [taylor]: Taking taylor expansion of x in x 1.857 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ -0.5 x))) in (x) around 0 1.857 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ -0.5 x))) in x 1.857 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.857 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.857 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.857 * [taylor]: Taking taylor expansion of -0.5 in x 1.857 * [taylor]: Taking taylor expansion of x in x 1.857 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ -0.5 x))) in x 1.857 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.857 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.858 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.858 * [taylor]: Taking taylor expansion of -0.5 in x 1.858 * [taylor]: Taking taylor expansion of x in x 1.864 * * * [progress]: simplifying candidates 1.866 * [simplify]: Simplifying using # : (expm1 (/ (sin x) (sin (* 0.5 x)))) (log1p (/ (sin x) (sin (* 0.5 x)))) (- (log (sin x)) (log (sin (* 0.5 x)))) (log (/ (sin x) (sin (* 0.5 x)))) (exp (/ (sin x) (sin (* 0.5 x)))) (/ (* (* (sin x) (sin x)) (sin x)) (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x)))) (* (cbrt (/ (sin x) (sin (* 0.5 x)))) (cbrt (/ (sin x) (sin (* 0.5 x))))) (cbrt (/ (sin x) (sin (* 0.5 x)))) (* (* (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 x)))) (sqrt (/ (sin x) (sin (* 0.5 x)))) (sqrt (/ (sin x) (sin (* 0.5 x)))) (- (sin x)) (- (sin (* 0.5 x))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (cbrt (sin x)) (cbrt (sin (* 0.5 x)))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (sin (* 0.5 x)))) (/ (cbrt (sin x)) (sqrt (sin (* 0.5 x)))) (/ (* (cbrt (sin x)) (cbrt (sin x))) 1) (/ (cbrt (sin x)) (sin (* 0.5 x))) (/ (sqrt (sin x)) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (sqrt (sin x)) (cbrt (sin (* 0.5 x)))) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (/ (sqrt (sin x)) 1) (/ (sqrt (sin x)) (sin (* 0.5 x))) (/ 1 (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (sin x) (cbrt (sin (* 0.5 x)))) (/ 1 (sqrt (sin (* 0.5 x)))) (/ (sin x) (sqrt (sin (* 0.5 x)))) (/ 1 1) (/ (sin x) (sin (* 0.5 x))) (/ 1 (sin (* 0.5 x))) (/ (sin (* 0.5 x)) (sin x)) (/ (sin x) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (sin x) (sqrt (sin (* 0.5 x)))) (/ (sin x) 1) (/ (sin (* 0.5 x)) (cbrt (sin x))) (/ (sin (* 0.5 x)) (sqrt (sin x))) (/ (sin (* 0.5 x)) (sin x)) (expm1 (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin x) (sin (* 0.5 x))))) (log1p (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin x) (sin (* 0.5 x))))) (- (+ (log 8.0) (- (log (sin (* 0.5 x))) (log 3.0))) (- (log (sin x)) (log (sin (* 0.5 x))))) (- (+ (log 8.0) (- (log (sin (* 0.5 x))) (log 3.0))) (log (/ (sin x) (sin (* 0.5 x))))) (- (+ (log 8.0) (log (/ (sin (* 0.5 x)) 3.0))) (- (log (sin x)) (log (sin (* 0.5 x))))) (- (+ (log 8.0) (log (/ (sin (* 0.5 x)) 3.0))) (log (/ (sin x) (sin (* 0.5 x))))) (- (log (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (- (log (sin x)) (log (sin (* 0.5 x))))) (- (log (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (log (/ (sin x) (sin (* 0.5 x))))) (log (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin x) (sin (* 0.5 x))))) (exp (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin x) (sin (* 0.5 x))))) (/ (* (* (* 8.0 8.0) 8.0) (/ (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x))) (* (* 3.0 3.0) 3.0))) (/ (* (* (sin x) (sin x)) (sin x)) (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x))))) (/ (* (* (* 8.0 8.0) 8.0) (/ (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x))) (* (* 3.0 3.0) 3.0))) (* (* (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 x))))) (/ (* (* (* 8.0 8.0) 8.0) (* (* (/ (sin (* 0.5 x)) 3.0) (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) 3.0))) (/ (* (* (sin x) (sin x)) (sin x)) (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x))))) (/ (* (* (* 8.0 8.0) 8.0) (* (* (/ (sin (* 0.5 x)) 3.0) (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) 3.0))) (* (* (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 x))))) (/ (* (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (/ (* (* (sin x) (sin x)) (sin x)) (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x))))) (/ (* (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (* (* (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 x))))) (* (cbrt (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin x) (sin (* 0.5 x))))) (cbrt (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin x) (sin (* 0.5 x)))))) (cbrt (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin x) (sin (* 0.5 x))))) (* (* (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin x) (sin (* 0.5 x)))) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin x) (sin (* 0.5 x))))) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin x) (sin (* 0.5 x))))) (sqrt (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin x) (sin (* 0.5 x))))) (sqrt (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin x) (sin (* 0.5 x))))) (- (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (- (/ (sin x) (sin (* 0.5 x)))) (/ 8.0 (* (cbrt (/ (sin x) (sin (* 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) (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))) (- (+ (* 0.005208333333333334 (pow x 4)) 2.0) (* 0.25 (pow x 2))) (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x))) (+ (* 0.05555555555555555 (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))) (- (+ (* 0.16666666666666666 x) (* 8.680555555555555e-05 (pow x 5))) (* 0.006944444444444444 (pow x 3))) (* 0.3333333333333333 (sin (* 0.5 x))) (* 0.3333333333333333 (sin (* 0.5 x))) 1.866 * [simplify]: Sending expressions to egg_math: (expm1 (/ (sin h0) (sin (* h1 h0)))) (log1p (/ (sin h0) (sin (* h1 h0)))) (- (log (sin h0)) (log (sin (* h1 h0)))) (log (/ (sin h0) (sin (* h1 h0)))) (exp (/ (sin h0) (sin (* h1 h0)))) (/ (* (* (sin h0) (sin h0)) (sin h0)) (* (* (sin (* h1 h0)) (sin (* h1 h0))) (sin (* h1 h0)))) (* (cbrt (/ (sin h0) (sin (* h1 h0)))) (cbrt (/ (sin h0) (sin (* h1 h0))))) (cbrt (/ (sin h0) (sin (* h1 h0)))) (* (* (/ (sin h0) (sin (* h1 h0))) (/ (sin h0) (sin (* h1 h0)))) (/ (sin h0) (sin (* h1 h0)))) (sqrt (/ (sin h0) (sin (* h1 h0)))) (sqrt (/ (sin h0) (sin (* h1 h0)))) (- (sin h0)) (- (sin (* h1 h0))) (/ (* (cbrt (sin h0)) (cbrt (sin h0))) (* (cbrt (sin (* h1 h0))) (cbrt (sin (* h1 h0))))) (/ (cbrt (sin h0)) (cbrt (sin (* h1 h0)))) (/ (* (cbrt (sin h0)) (cbrt (sin h0))) (sqrt (sin (* h1 h0)))) (/ (cbrt (sin h0)) (sqrt (sin (* h1 h0)))) (/ (* (cbrt (sin h0)) (cbrt (sin h0))) 1) (/ (cbrt (sin h0)) (sin (* h1 h0))) (/ (sqrt (sin h0)) (* (cbrt (sin (* h1 h0))) (cbrt (sin (* h1 h0))))) (/ (sqrt (sin h0)) (cbrt (sin (* h1 h0)))) (/ (sqrt (sin h0)) (sqrt (sin (* h1 h0)))) (/ (sqrt (sin h0)) (sqrt (sin (* h1 h0)))) (/ (sqrt (sin h0)) 1) (/ (sqrt (sin h0)) (sin (* h1 h0))) (/ 1 (* (cbrt (sin (* h1 h0))) (cbrt (sin (* h1 h0))))) (/ (sin h0) (cbrt (sin (* h1 h0)))) (/ 1 (sqrt (sin (* h1 h0)))) (/ (sin h0) (sqrt (sin (* h1 h0)))) (/ 1 1) (/ (sin h0) (sin (* h1 h0))) (/ 1 (sin (* h1 h0))) (/ (sin (* h1 h0)) (sin h0)) (/ (sin h0) (* (cbrt (sin (* h1 h0))) (cbrt (sin (* h1 h0))))) (/ (sin h0) (sqrt (sin (* h1 h0)))) (/ (sin h0) 1) (/ (sin (* h1 h0)) (cbrt (sin h0))) (/ (sin (* h1 h0)) (sqrt (sin h0))) (/ (sin (* h1 h0)) (sin h0)) (expm1 (/ (* h2 (/ (sin (* h1 h0)) h3)) (/ (sin h0) (sin (* h1 h0))))) (log1p (/ (* h2 (/ (sin (* h1 h0)) h3)) (/ (sin h0) (sin (* h1 h0))))) (- (+ (log h2) (- (log (sin (* h1 h0))) (log h3))) (- (log (sin h0)) (log (sin (* h1 h0))))) (- (+ (log h2) (- (log (sin (* h1 h0))) (log h3))) (log (/ (sin h0) (sin (* h1 h0))))) (- (+ (log h2) (log (/ (sin (* h1 h0)) h3))) (- (log (sin h0)) (log (sin (* h1 h0))))) (- (+ (log h2) (log (/ (sin (* h1 h0)) h3))) (log (/ (sin h0) (sin (* h1 h0))))) (- (log (* h2 (/ (sin (* h1 h0)) h3))) (- (log (sin h0)) (log (sin (* h1 h0))))) (- (log (* h2 (/ (sin (* h1 h0)) h3))) (log (/ (sin h0) (sin (* h1 h0))))) (log (/ (* h2 (/ (sin (* h1 h0)) h3)) (/ (sin h0) (sin (* h1 h0))))) (exp (/ (* h2 (/ (sin (* h1 h0)) h3)) (/ (sin h0) (sin (* h1 h0))))) (/ (* (* (* h2 h2) h2) (/ (* (* (sin (* h1 h0)) (sin (* h1 h0))) (sin (* h1 h0))) (* (* h3 h3) h3))) (/ (* (* (sin h0) (sin h0)) (sin h0)) (* (* (sin (* h1 h0)) (sin (* h1 h0))) (sin (* h1 h0))))) (/ (* (* (* h2 h2) h2) (/ (* (* (sin (* h1 h0)) (sin (* h1 h0))) (sin (* h1 h0))) (* (* h3 h3) h3))) (* (* (/ (sin h0) (sin (* h1 h0))) (/ (sin h0) (sin (* h1 h0)))) (/ (sin h0) (sin (* h1 h0))))) (/ (* (* (* h2 h2) h2) (* (* (/ (sin (* h1 h0)) h3) (/ (sin (* h1 h0)) h3)) (/ (sin (* h1 h0)) h3))) (/ (* (* (sin h0) (sin h0)) (sin h0)) (* (* (sin (* h1 h0)) (sin (* h1 h0))) (sin (* h1 h0))))) (/ (* (* (* h2 h2) h2) (* (* (/ (sin (* h1 h0)) h3) (/ (sin (* h1 h0)) h3)) (/ (sin (* h1 h0)) h3))) (* (* (/ (sin h0) (sin (* h1 h0))) (/ (sin h0) (sin (* h1 h0)))) (/ (sin h0) (sin (* h1 h0))))) (/ (* (* (* h2 (/ (sin (* h1 h0)) h3)) (* h2 (/ (sin (* h1 h0)) h3))) (* h2 (/ (sin (* h1 h0)) h3))) (/ (* (* (sin h0) (sin h0)) (sin h0)) (* (* (sin (* h1 h0)) (sin (* h1 h0))) (sin (* h1 h0))))) (/ (* (* (* h2 (/ (sin (* h1 h0)) h3)) (* h2 (/ (sin (* h1 h0)) h3))) (* h2 (/ (sin (* h1 h0)) h3))) (* (* (/ (sin h0) (sin (* h1 h0))) (/ (sin h0) (sin (* h1 h0)))) (/ (sin h0) (sin (* h1 h0))))) (* (cbrt (/ (* h2 (/ (sin (* h1 h0)) h3)) (/ (sin h0) (sin (* h1 h0))))) (cbrt (/ (* h2 (/ (sin (* h1 h0)) h3)) (/ (sin h0) (sin (* h1 h0)))))) (cbrt (/ (* h2 (/ (sin (* h1 h0)) h3)) (/ (sin h0) (sin (* h1 h0))))) (* (* (/ (* h2 (/ (sin (* h1 h0)) h3)) (/ (sin h0) (sin (* h1 h0)))) (/ (* h2 (/ (sin (* h1 h0)) h3)) (/ (sin h0) (sin (* h1 h0))))) (/ (* h2 (/ (sin (* h1 h0)) h3)) (/ (sin h0) (sin (* h1 h0))))) (sqrt (/ (* h2 (/ (sin (* h1 h0)) h3)) (/ (sin h0) (sin (* h1 h0))))) (sqrt (/ (* h2 (/ (sin (* h1 h0)) h3)) (/ (sin h0) (sin (* h1 h0))))) (- (* h2 (/ (sin (* h1 h0)) h3))) (- (/ (sin h0) (sin (* h1 h0)))) (/ h2 (* (cbrt (/ (sin h0) (sin (* h1 h0)))) (cbrt (/ (sin h0) (sin (* h1 h0)))))) (/ (/ (sin (* h1 h0)) h3) (cbrt (/ (sin h0) (sin (* h1 h0))))) (/ h2 (sqrt (/ (sin h0) (sin (* h1 h0))))) (/ (/ (sin (* h1 h0)) h3) (sqrt (/ (sin h0) (sin (* h1 h0))))) (/ h2 (/ (* (cbrt (sin h0)) (cbrt (sin h0))) (* (cbrt (sin (* h1 h0))) (cbrt (sin (* h1 h0)))))) (/ (/ (sin (* h1 h0)) h3) (/ (cbrt (sin h0)) (cbrt (sin (* h1 h0))))) (/ h2 (/ (* (cbrt (sin h0)) (cbrt (sin h0))) (sqrt (sin (* h1 h0))))) (/ (/ (sin (* h1 h0)) h3) (/ (cbrt (sin h0)) (sqrt (sin (* h1 h0))))) (/ h2 (/ (* (cbrt (sin h0)) (cbrt (sin h0))) 1)) (/ (/ (sin (* h1 h0)) h3) (/ (cbrt (sin h0)) (sin (* h1 h0)))) (/ h2 (/ (sqrt (sin h0)) (* (cbrt (sin (* h1 h0))) (cbrt (sin (* h1 h0)))))) (/ (/ (sin (* h1 h0)) h3) (/ (sqrt (sin h0)) (cbrt (sin (* h1 h0))))) (/ h2 (/ (sqrt (sin h0)) (sqrt (sin (* h1 h0))))) (/ (/ (sin (* h1 h0)) h3) (/ (sqrt (sin h0)) (sqrt (sin (* h1 h0))))) (/ h2 (/ (sqrt (sin h0)) 1)) (/ (/ (sin (* h1 h0)) h3) (/ (sqrt (sin h0)) (sin (* h1 h0)))) (/ h2 (/ 1 (* (cbrt (sin (* h1 h0))) (cbrt (sin (* h1 h0)))))) (/ (/ (sin (* h1 h0)) h3) (/ (sin h0) (cbrt (sin (* h1 h0))))) (/ h2 (/ 1 (sqrt (sin (* h1 h0))))) (/ (/ (sin (* h1 h0)) h3) (/ (sin h0) (sqrt (sin (* h1 h0))))) (/ h2 (/ 1 1)) (/ (/ (sin (* h1 h0)) h3) (/ (sin h0) (sin (* h1 h0)))) (/ h2 1) (/ (/ (sin (* h1 h0)) h3) (/ (sin h0) (sin (* h1 h0)))) (/ h2 (sin h0)) (/ (/ (sin (* h1 h0)) h3) (/ 1 (sin (* h1 h0)))) (/ 1 (/ (sin h0) (sin (* h1 h0)))) (/ (/ (sin h0) (sin (* h1 h0))) (* h2 (/ (sin (* h1 h0)) h3))) (/ (* h2 (/ (sin (* h1 h0)) h3)) (* (cbrt (/ (sin h0) (sin (* h1 h0)))) (cbrt (/ (sin h0) (sin (* h1 h0)))))) (/ (* h2 (/ (sin (* h1 h0)) h3)) (sqrt (/ (sin h0) (sin (* h1 h0))))) (/ (* h2 (/ (sin (* h1 h0)) h3)) (/ (* (cbrt (sin h0)) (cbrt (sin h0))) (* (cbrt (sin (* h1 h0))) (cbrt (sin (* h1 h0)))))) (/ (* h2 (/ (sin (* h1 h0)) h3)) (/ (* (cbrt (sin h0)) (cbrt (sin h0))) (sqrt (sin (* h1 h0))))) (/ (* h2 (/ (sin (* h1 h0)) h3)) (/ (* (cbrt (sin h0)) (cbrt (sin h0))) 1)) (/ (* h2 (/ (sin (* h1 h0)) h3)) (/ (sqrt (sin h0)) (* (cbrt (sin (* h1 h0))) (cbrt (sin (* h1 h0)))))) (/ (* h2 (/ (sin (* h1 h0)) h3)) (/ (sqrt (sin h0)) (sqrt (sin (* h1 h0))))) (/ (* h2 (/ (sin (* h1 h0)) h3)) (/ (sqrt (sin h0)) 1)) (/ (* h2 (/ (sin (* h1 h0)) h3)) (/ 1 (* (cbrt (sin (* h1 h0))) (cbrt (sin (* h1 h0)))))) (/ (* h2 (/ (sin (* h1 h0)) h3)) (/ 1 (sqrt (sin (* h1 h0))))) (/ (* h2 (/ (sin (* h1 h0)) h3)) (/ 1 1)) (/ (* h2 (/ (sin (* h1 h0)) h3)) 1) (/ (* h2 (/ (sin (* h1 h0)) h3)) (sin h0)) (/ (/ (sin h0) (sin (* h1 h0))) (/ (sin (* h1 h0)) h3)) (/ (* h2 (/ (sin (* h1 h0)) h3)) (sin h0)) (* (/ (sin h0) (sin (* h1 h0))) h3) (expm1 (/ (sin (* h1 h0)) h3)) (log1p (/ (sin (* h1 h0)) h3)) (- (log (sin (* h1 h0))) (log h3)) (log (/ (sin (* h1 h0)) h3)) (exp (/ (sin (* h1 h0)) h3)) (/ (* (* (sin (* h1 h0)) (sin (* h1 h0))) (sin (* h1 h0))) (* (* h3 h3) h3)) (* (cbrt (/ (sin (* h1 h0)) h3)) (cbrt (/ (sin (* h1 h0)) h3))) (cbrt (/ (sin (* h1 h0)) h3)) (* (* (/ (sin (* h1 h0)) h3) (/ (sin (* h1 h0)) h3)) (/ (sin (* h1 h0)) h3)) (sqrt (/ (sin (* h1 h0)) h3)) (sqrt (/ (sin (* h1 h0)) h3)) (- (sin (* h1 h0))) (- h3) (/ (* (cbrt (sin (* h1 h0))) (cbrt (sin (* h1 h0)))) (* (cbrt h3) (cbrt h3))) (/ (cbrt (sin (* h1 h0))) (cbrt h3)) (/ (* (cbrt (sin (* h1 h0))) (cbrt (sin (* h1 h0)))) (sqrt h3)) (/ (cbrt (sin (* h1 h0))) (sqrt h3)) (/ (* (cbrt (sin (* h1 h0))) (cbrt (sin (* h1 h0)))) 1) (/ (cbrt (sin (* h1 h0))) h3) (/ (sqrt (sin (* h1 h0))) (* (cbrt h3) (cbrt h3))) (/ (sqrt (sin (* h1 h0))) (cbrt h3)) (/ (sqrt (sin (* h1 h0))) (sqrt h3)) (/ (sqrt (sin (* h1 h0))) (sqrt h3)) (/ (sqrt (sin (* h1 h0))) 1) (/ (sqrt (sin (* h1 h0))) h3) (/ 1 (* (cbrt h3) (cbrt h3))) (/ (sin (* h1 h0)) (cbrt h3)) (/ 1 (sqrt h3)) (/ (sin (* h1 h0)) (sqrt h3)) (/ 1 1) (/ (sin (* h1 h0)) h3) (/ 1 h3) (/ h3 (sin (* h1 h0))) (/ (sin (* h1 h0)) (* (cbrt h3) (cbrt h3))) (/ (sin (* h1 h0)) (sqrt h3)) (/ (sin (* h1 h0)) 1) (/ h3 (cbrt (sin (* h1 h0)))) (/ h3 (sqrt (sin (* h1 h0)))) (/ h3 (sin (* h1 h0))) (- (+ (* h4 (pow h0 4)) h5) (* h6 (pow h0 2))) (/ (sin h0) (sin (* h1 h0))) (/ (sin h0) (sin (* h1 h0))) (+ (* h7 (pow h0 3)) (+ (* h8 (pow h0 5)) (* h9 h0))) (* h10 (/ (pow (sin (* h1 h0)) 2) (sin h0))) (* h10 (/ (pow (sin (* h1 h0)) 2) (sin h0))) (- (+ (* h11 h0) (* h12 (pow h0 5))) (* h13 (pow h0 3))) (* h14 (sin (* h1 h0))) (* h14 (sin (* h1 h0))) 1.875 * * [simplify]: iteration 0 : 514 enodes (cost 1168 ) 1.890 * * [simplify]: iteration 1 : 2579 enodes (cost 1010 ) 1.939 * * [simplify]: iteration 2 : 5001 enodes (cost 984 ) 1.944 * [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)) (/ 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(* 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) (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))) (fma (pow x 4) 0.005208333333333334 (- 2.0 (* 0.25 (pow x 2)))) (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x))) (fma 0.05555555555555555 (pow x 3) (fma 0.005555555555555554 (pow x 5) (* 0.6666666666666666 x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (fma x 0.16666666666666666 (- (* 8.680555555555555e-05 (pow x 5)) (* 0.006944444444444444 (pow x 3)))) (* 0.3333333333333333 (sin (* 0.5 x))) (* 0.3333333333333333 (sin (* 0.5 x))) 1.945 * * * [progress]: adding candidates to table 2.289 * * [progress]: iteration 4 / 4 2.289 * * * [progress]: picking best candidate 2.310 * * * * [pick]: Picked # 2.310 * * * [progress]: localizing error 2.324 * * * [progress]: generating rewritten candidates 2.324 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 2.360 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 2.373 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 2.385 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 2.415 * * * [progress]: generating series expansions 2.415 * * * * [progress]: [ 1 / 4 ] generating series at (2) 2.415 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in (x) around 0 2.415 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 2.415 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 2.415 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 2.415 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 2.415 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 2.415 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 2.415 * [taylor]: Taking taylor expansion of 0.5 in x 2.415 * [taylor]: Taking taylor expansion of x in x 2.419 * [taylor]: Taking taylor expansion of (sin x) in x 2.419 * [taylor]: Taking taylor expansion of x in x 2.420 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 2.420 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 2.420 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 2.420 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 2.420 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 2.420 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 2.420 * [taylor]: Taking taylor expansion of 0.5 in x 2.420 * [taylor]: Taking taylor expansion of x in x 2.423 * [taylor]: Taking taylor expansion of (sin x) in x 2.423 * [taylor]: Taking taylor expansion of x in x 2.465 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in (x) around 0 2.465 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 2.465 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 2.465 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 2.465 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 2.465 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.465 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.465 * [taylor]: Taking taylor expansion of 0.5 in x 2.465 * [taylor]: Taking taylor expansion of x in x 2.466 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.466 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.466 * [taylor]: Taking taylor expansion of x in x 2.467 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 2.467 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 2.467 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 2.467 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 2.467 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.467 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.467 * [taylor]: Taking taylor expansion of 0.5 in x 2.467 * [taylor]: Taking taylor expansion of x in x 2.467 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.467 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.467 * [taylor]: Taking taylor expansion of x in x 2.482 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in (x) around 0 2.482 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 2.483 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 2.483 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 2.483 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 2.483 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.483 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.483 * [taylor]: Taking taylor expansion of -0.5 in x 2.483 * [taylor]: Taking taylor expansion of x in x 2.483 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.483 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.483 * [taylor]: Taking taylor expansion of -1 in x 2.483 * [taylor]: Taking taylor expansion of x in x 2.484 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 2.484 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 2.484 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 2.484 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 2.484 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.484 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.484 * [taylor]: Taking taylor expansion of -0.5 in x 2.484 * [taylor]: Taking taylor expansion of x in x 2.484 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.484 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.484 * [taylor]: Taking taylor expansion of -1 in x 2.484 * [taylor]: Taking taylor expansion of x in x 2.498 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 2.499 * [approximate]: Taking taylor expansion of (/ (sin (* 0.5 x)) (sin x)) in (x) around 0 2.499 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 x)) (sin x)) in x 2.499 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 2.499 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 2.499 * [taylor]: Taking taylor expansion of 0.5 in x 2.499 * [taylor]: Taking taylor expansion of x in x 2.500 * [taylor]: Taking taylor expansion of (sin x) in x 2.500 * [taylor]: Taking taylor expansion of x in x 2.503 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 x)) (sin x)) in x 2.503 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 2.503 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 2.503 * [taylor]: Taking taylor expansion of 0.5 in x 2.503 * [taylor]: Taking taylor expansion of x in x 2.504 * [taylor]: Taking taylor expansion of (sin x) in x 2.504 * [taylor]: Taking taylor expansion of x in x 2.542 * [approximate]: Taking taylor expansion of (/ (sin (/ 0.5 x)) (sin (/ 1 x))) in (x) around 0 2.542 * [taylor]: Taking taylor expansion of (/ (sin (/ 0.5 x)) (sin (/ 1 x))) in x 2.542 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.543 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.543 * [taylor]: Taking taylor expansion of 0.5 in x 2.543 * [taylor]: Taking taylor expansion of x in x 2.543 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.543 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.543 * [taylor]: Taking taylor expansion of x in x 2.544 * [taylor]: Taking taylor expansion of (/ (sin (/ 0.5 x)) (sin (/ 1 x))) in x 2.544 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.544 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.544 * [taylor]: Taking taylor expansion of 0.5 in x 2.544 * [taylor]: Taking taylor expansion of x in x 2.544 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.544 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.544 * [taylor]: Taking taylor expansion of x in x 2.546 * [approximate]: Taking taylor expansion of (/ (sin (/ -0.5 x)) (sin (/ -1 x))) in (x) around 0 2.547 * [taylor]: Taking taylor expansion of (/ (sin (/ -0.5 x)) (sin (/ -1 x))) in x 2.547 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.547 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.547 * [taylor]: Taking taylor expansion of -0.5 in x 2.547 * [taylor]: Taking taylor expansion of x in x 2.547 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.547 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.547 * [taylor]: Taking taylor expansion of -1 in x 2.547 * [taylor]: Taking taylor expansion of x in x 2.548 * [taylor]: Taking taylor expansion of (/ (sin (/ -0.5 x)) (sin (/ -1 x))) in x 2.548 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.548 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.548 * [taylor]: Taking taylor expansion of -0.5 in x 2.548 * [taylor]: Taking taylor expansion of x in x 2.548 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.548 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.548 * [taylor]: Taking taylor expansion of -1 in x 2.548 * [taylor]: Taking taylor expansion of x in x 2.551 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 2.551 * [approximate]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in (x) around 0 2.551 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 2.551 * [taylor]: Taking taylor expansion of (sin x) in x 2.551 * [taylor]: Taking taylor expansion of x in x 2.551 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 2.551 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 2.551 * [taylor]: Taking taylor expansion of 0.5 in x 2.551 * [taylor]: Taking taylor expansion of x in x 2.555 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 2.555 * [taylor]: Taking taylor expansion of (sin x) in x 2.555 * [taylor]: Taking taylor expansion of x in x 2.555 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 2.555 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 2.555 * [taylor]: Taking taylor expansion of 0.5 in x 2.555 * [taylor]: Taking taylor expansion of x in x 2.588 * [approximate]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in (x) around 0 2.588 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 2.588 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.588 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.588 * [taylor]: Taking taylor expansion of x in x 2.588 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.588 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.588 * [taylor]: Taking taylor expansion of 0.5 in x 2.588 * [taylor]: Taking taylor expansion of x in x 2.589 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 2.589 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.589 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.589 * [taylor]: Taking taylor expansion of x in x 2.589 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.589 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.589 * [taylor]: Taking taylor expansion of 0.5 in x 2.589 * [taylor]: Taking taylor expansion of x in x 2.592 * [approximate]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in (x) around 0 2.592 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 2.592 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.592 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.592 * [taylor]: Taking taylor expansion of -1 in x 2.592 * [taylor]: Taking taylor expansion of x in x 2.593 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.593 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.593 * [taylor]: Taking taylor expansion of -0.5 in x 2.593 * [taylor]: Taking taylor expansion of x in x 2.593 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 2.593 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.593 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.593 * [taylor]: Taking taylor expansion of -1 in x 2.593 * [taylor]: Taking taylor expansion of x in x 2.594 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.594 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.594 * [taylor]: Taking taylor expansion of -0.5 in x 2.594 * [taylor]: Taking taylor expansion of x in x 2.596 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 2.596 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (sin (* 0.5 x))) in (x) around 0 2.596 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (* 0.5 x))) in x 2.596 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.596 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 2.596 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 2.596 * [taylor]: Taking taylor expansion of 0.5 in x 2.597 * [taylor]: Taking taylor expansion of x in x 2.598 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (* 0.5 x))) in x 2.598 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.598 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 2.598 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 2.598 * [taylor]: Taking taylor expansion of 0.5 in x 2.598 * [taylor]: Taking taylor expansion of x in x 2.629 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ 0.5 x))) in (x) around 0 2.629 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ 0.5 x))) in x 2.629 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.629 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.629 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.629 * [taylor]: Taking taylor expansion of 0.5 in x 2.629 * [taylor]: Taking taylor expansion of x in x 2.630 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ 0.5 x))) in x 2.630 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.630 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.630 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.630 * [taylor]: Taking taylor expansion of 0.5 in x 2.630 * [taylor]: Taking taylor expansion of x in x 2.636 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ -0.5 x))) in (x) around 0 2.636 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ -0.5 x))) in x 2.636 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.636 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.636 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.636 * [taylor]: Taking taylor expansion of -0.5 in x 2.636 * [taylor]: Taking taylor expansion of x in x 2.637 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ -0.5 x))) in x 2.637 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.637 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.637 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.637 * [taylor]: Taking taylor expansion of -0.5 in x 2.637 * [taylor]: Taking taylor expansion of x in x 2.643 * * * [progress]: simplifying candidates 2.648 * [simplify]: Simplifying using # : (expm1 (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ 1 (/ (sin (* 0.5 x)) (sin x))))) (log1p (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ 1 (/ (sin (* 0.5 x)) (sin x))))) (- (+ (log 8.0) (- (log (sin (* 0.5 x))) (log 3.0))) (- (- (log (sin (* 0.5 x))) (log (sin x))))) (- (+ (log 8.0) (- (log (sin (* 0.5 x))) (log 3.0))) (- (log (/ (sin (* 0.5 x)) (sin x))))) (- (+ (log 8.0) (- (log (sin (* 0.5 x))) (log 3.0))) (- 0 (- (log (sin (* 0.5 x))) (log (sin x))))) (- (+ (log 8.0) (- (log (sin (* 0.5 x))) (log 3.0))) (- 0 (log (/ (sin (* 0.5 x)) (sin x))))) (- (+ (log 8.0) (- (log (sin (* 0.5 x))) (log 3.0))) (- (log 1) (- (log (sin (* 0.5 x))) (log (sin x))))) (- (+ (log 8.0) (- (log (sin (* 0.5 x))) (log 3.0))) (- (log 1) (log (/ (sin (* 0.5 x)) (sin x))))) (- (+ (log 8.0) (- (log (sin (* 0.5 x))) (log 3.0))) (log (/ 1 (/ (sin (* 0.5 x)) (sin x))))) (- (+ (log 8.0) (log (/ (sin (* 0.5 x)) 3.0))) (- (- (log (sin (* 0.5 x))) (log (sin x))))) (- (+ (log 8.0) (log (/ (sin (* 0.5 x)) 3.0))) (- (log (/ (sin (* 0.5 x)) (sin x))))) (- (+ (log 8.0) (log (/ (sin (* 0.5 x)) 3.0))) (- 0 (- (log (sin (* 0.5 x))) (log (sin x))))) (- (+ (log 8.0) (log (/ (sin (* 0.5 x)) 3.0))) (- 0 (log (/ (sin (* 0.5 x)) (sin x))))) (- (+ (log 8.0) (log (/ (sin (* 0.5 x)) 3.0))) (- (log 1) (- (log (sin (* 0.5 x))) (log (sin x))))) (- (+ (log 8.0) (log (/ (sin (* 0.5 x)) 3.0))) (- (log 1) (log (/ (sin (* 0.5 x)) (sin x))))) (- (+ (log 8.0) (log (/ (sin (* 0.5 x)) 3.0))) (log (/ 1 (/ (sin (* 0.5 x)) (sin x))))) (- (log (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (- (- (log (sin (* 0.5 x))) (log (sin x))))) (- (log (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (- (log (/ (sin (* 0.5 x)) (sin x))))) (- (log (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (- 0 (- (log (sin (* 0.5 x))) (log (sin x))))) (- (log (* 8.0 (/ (sin (* 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(/ (sqrt (sin (* h1 h2))) 1) (/ (sqrt (sin (* h1 h2))) h3) (/ 1 (* (cbrt h3) (cbrt h3))) (/ (sin (* h1 h2)) (cbrt h3)) (/ 1 (sqrt h3)) (/ (sin (* h1 h2)) (sqrt h3)) (/ 1 1) (/ (sin (* h1 h2)) h3) (/ 1 h3) (/ h3 (sin (* h1 h2))) (/ (sin (* h1 h2)) (* (cbrt h3) (cbrt h3))) (/ (sin (* h1 h2)) (sqrt h3)) (/ (sin (* h1 h2)) 1) (/ h3 (cbrt (sin (* h1 h2)))) (/ h3 (sqrt (sin (* h1 h2)))) (/ h3 (sin (* h1 h2))) (+ (* h4 (pow h2 3)) (+ (* h5 (pow h2 5)) (* h6 h2))) (* h7 (/ (pow (sin (* h1 h2)) 2) (sin h2))) (* h7 (/ (pow (sin (* h1 h2)) 2) (sin h2))) (+ (* h8 (pow h2 2)) (+ (* h9 (pow h2 4)) h1)) (/ (sin (* h1 h2)) (sin h2)) (/ (sin (* h1 h2)) (sin h2)) (- (+ (* h10 (pow h2 4)) h11) (* h12 (pow h2 2))) (/ (sin h2) (sin (* h1 h2))) (/ (sin h2) (sin (* h1 h2))) (- (+ (* h13 h2) (* h14 (pow h2 5))) (* h15 (pow h2 3))) (* h16 (sin (* h1 h2))) (* h16 (sin (* h1 h2))) 2.665 * * [simplify]: iteration 0 : 1111 enodes (cost 3284 ) 2.693 * * [simplify]: iteration 1 : 5001 enodes (cost 2865 ) 2.706 * 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x 2) (fma 0.006510416666666666 (pow x 4) 0.5)) (/ (sin (* 0.5 x)) (sin x)) (/ (sin (* 0.5 x)) (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 x 0.16666666666666666 (- (* 8.680555555555555e-05 (pow x 5)) (* 0.006944444444444444 (pow x 3)))) (* 0.3333333333333333 (sin (* 0.5 x))) (* 0.3333333333333333 (sin (* 0.5 x))) 2.708 * * * [progress]: adding candidates to table 3.412 * [progress]: [Phase 3 of 3] Extracting. 3.412 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 3.414 * * * [regime-changes]: Trying 1 branch expressions: (x) 3.414 * * * * [regimes]: Trying to branch on x from (# # # # # # # # #) 3.452 * * * [regime]: Found split indices: #