8.213 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.056 * * * [progress]: [2/2] Setting up program. 0.059 * [progress]: [Phase 2 of 3] Improving. 0.059 * [simplify]: Simplifying using # : (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x)) 0.060 * * [simplify]: iteration 0 : 11 enodes (cost 16 ) 0.062 * * [simplify]: iteration 1 : 20 enodes (cost 16 ) 0.065 * * [simplify]: iteration 2 : 42 enodes (cost 16 ) 0.076 * * [simplify]: iteration 3 : 90 enodes (cost 16 ) 0.088 * * [simplify]: iteration 4 : 168 enodes (cost 16 ) 0.111 * * [simplify]: iteration 5 : 246 enodes (cost 16 ) 0.148 * * [simplify]: iteration 6 : 264 enodes (cost 16 ) 0.190 * * [simplify]: iteration done : 264 enodes (cost 16 ) 0.190 * [simplify]: Simplified to: (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x)) 0.191 * * [progress]: iteration 1 / 4 0.191 * * * [progress]: picking best candidate 0.193 * * * * [pick]: Picked # 0.193 * * * [progress]: localizing error 0.205 * * * [progress]: generating rewritten candidates 0.205 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.225 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.236 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.262 * * * [progress]: generating series expansions 0.262 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.263 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in (x) around 0 0.263 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.264 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.264 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 0.264 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.264 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.264 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.264 * [taylor]: Taking taylor expansion of 0.5 in x 0.264 * [taylor]: Taking taylor expansion of x in x 0.267 * [taylor]: Taking taylor expansion of (sin x) in x 0.267 * [taylor]: Taking taylor expansion of x in x 0.268 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.268 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.268 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 0.268 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.268 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.268 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.268 * [taylor]: Taking taylor expansion of 0.5 in x 0.268 * [taylor]: Taking taylor expansion of x in x 0.271 * [taylor]: Taking taylor expansion of (sin x) in x 0.271 * [taylor]: Taking taylor expansion of x in x 0.312 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in (x) around 0 0.312 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 0.312 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.312 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 0.312 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.312 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.312 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.312 * [taylor]: Taking taylor expansion of 0.5 in x 0.312 * [taylor]: Taking taylor expansion of x in x 0.313 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.313 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.313 * [taylor]: Taking taylor expansion of x in x 0.314 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 0.314 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.314 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 0.314 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.314 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.314 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.314 * [taylor]: Taking taylor expansion of 0.5 in x 0.314 * [taylor]: Taking taylor expansion of x in x 0.314 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.314 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.314 * [taylor]: Taking taylor expansion of x in x 0.329 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in (x) around 0 0.329 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.330 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.330 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 0.330 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.330 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.330 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.330 * [taylor]: Taking taylor expansion of -0.5 in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.330 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.330 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.330 * [taylor]: Taking taylor expansion of -1 in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.331 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.331 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.331 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 0.331 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.331 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.331 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.331 * [taylor]: Taking taylor expansion of -0.5 in x 0.331 * [taylor]: Taking taylor expansion of x in x 0.331 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.331 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.331 * [taylor]: Taking taylor expansion of -1 in x 0.331 * [taylor]: Taking taylor expansion of x in x 0.351 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.352 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in (x) around 0 0.352 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 0.352 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.352 * [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 0.353 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 0.353 * [taylor]: Taking taylor expansion of 2.6666666666666665 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 0.376 * [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 0.376 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 0.377 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.377 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.377 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.377 * [taylor]: Taking taylor expansion of 0.5 in x 0.377 * [taylor]: Taking taylor expansion of x in x 0.383 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in (x) around 0 0.383 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 0.383 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.383 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.383 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.383 * [taylor]: Taking taylor expansion of -0.5 in x 0.383 * [taylor]: Taking taylor expansion of x in x 0.384 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 0.384 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.384 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.384 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.384 * [taylor]: Taking taylor expansion of -0.5 in x 0.384 * [taylor]: Taking taylor expansion of x in x 0.390 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.391 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (* 0.5 x)) 2)) in (x) around 0 0.391 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (* 0.5 x)) 2)) in x 0.391 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.391 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.391 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.391 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.391 * [taylor]: Taking taylor expansion of 0.5 in x 0.391 * [taylor]: Taking taylor expansion of x in x 0.394 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (* 0.5 x)) 2)) in x 0.394 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.394 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.394 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.394 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.394 * [taylor]: Taking taylor expansion of 0.5 in x 0.394 * [taylor]: Taking taylor expansion of x in x 0.424 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ 0.5 x)) 2)) in (x) around 0 0.424 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ 0.5 x)) 2)) in x 0.424 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.424 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.424 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.424 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.424 * [taylor]: Taking taylor expansion of 0.5 in x 0.424 * [taylor]: Taking taylor expansion of x in x 0.424 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ 0.5 x)) 2)) in x 0.424 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.424 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.424 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.424 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.424 * [taylor]: Taking taylor expansion of 0.5 in x 0.424 * [taylor]: Taking taylor expansion of x in x 0.440 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ -0.5 x)) 2)) in (x) around 0 0.440 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ -0.5 x)) 2)) in x 0.440 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.440 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.440 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.440 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.440 * [taylor]: Taking taylor expansion of -0.5 in x 0.440 * [taylor]: Taking taylor expansion of x in x 0.441 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ -0.5 x)) 2)) in x 0.441 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.441 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.441 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.441 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.441 * [taylor]: Taking taylor expansion of -0.5 in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.453 * * * [progress]: simplifying candidates 0.454 * [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)) 0.459 * * [simplify]: iteration 0 : 169 enodes (cost 1554 ) 0.489 * * [simplify]: iteration 1 : 423 enodes (cost 1349 ) 0.607 * * [simplify]: iteration 2 : 1913 enodes (cost 1080 ) 1.264 * * [simplify]: iteration done : 5000 enodes (cost 1080 ) 1.264 * [simplify]: Simplified to: (expm1 (/ (* (/ 8.0 3.0) (pow (sin (* x 0.5)) 2)) (sin x))) (log1p (/ (* (/ 8.0 3.0) (pow (sin (* x 0.5)) 2)) (sin x))) (log (/ (* (/ 8.0 3.0) (pow (sin (* x 0.5)) 2)) (sin x))) (log (/ (* (/ 8.0 3.0) (pow (sin (* x 0.5)) 2)) (sin x))) (log (/ (* (/ 8.0 3.0) (pow (sin (* x 0.5)) 2)) (sin x))) (log (/ (* (/ 8.0 3.0) (pow (sin (* x 0.5)) 2)) (sin x))) (log (/ (* (/ 8.0 3.0) (pow (sin (* x 0.5)) 2)) (sin x))) (exp (/ (* (/ 8.0 3.0) (pow (sin (* x 0.5)) 2)) (sin x))) (pow (/ (* (/ 8.0 3.0) (pow (sin (* x 0.5)) 2)) (sin x)) 3) (pow (/ (* (/ 8.0 3.0) (pow (sin (* x 0.5)) 2)) (sin x)) 3) (pow (/ (* (/ 8.0 3.0) (pow (sin (* x 0.5)) 2)) (sin x)) 3) (pow (/ (* (/ 8.0 3.0) (pow (sin (* x 0.5)) 2)) (sin x)) 3) (* (cbrt (/ (* (/ 8.0 3.0) (pow (sin (* x 0.5)) 2)) (sin x))) (cbrt (/ (* (/ 8.0 3.0) (pow (sin (* x 0.5)) 2)) (sin x)))) (cbrt (/ (* (/ 8.0 3.0) (pow (sin (* x 0.5)) 2)) (sin x))) (pow (/ (* (/ 8.0 3.0) (pow (sin (* x 0.5)) 2)) (sin x)) 3) (sqrt (/ (* (/ 8.0 3.0) (pow (sin (* x 0.5)) 2)) (sin x))) (sqrt (/ (* (/ 8.0 3.0) (pow (sin (* x 0.5)) 2)) (sin x))) (- (* (/ 8.0 3.0) (pow (sin (* x 0.5)) 2))) (- (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))) (* (sin (* 0.5 x)) (/ 8.0 3.0)) (/ (sin (* x 0.5)) (sin x)) (/ 1 (sin x)) (/ (sin x) (* (/ 8.0 3.0) (pow (sin (* x 0.5)) 2))) (/ (/ (* (/ 8.0 3.0) (pow (sin (* x 0.5)) 2)) (cbrt (sin x))) (cbrt (sin x))) (/ (* (/ 8.0 3.0) (pow (sin (* x 0.5)) 2)) (sqrt (sin x))) (* (/ 8.0 3.0) (pow (sin (* x 0.5)) 2)) (/ (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)))) (* (sin (* 0.5 x)) (/ 8.0 3.0)) (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 (* (sin (* 0.5 x)) (/ 8.0 3.0)) 3) (pow (* (sin (* 0.5 x)) (/ 8.0 3.0)) 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 (* (sin (* 0.5 x)) (/ 8.0 3.0)) 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))) (* (sin (* 0.5 x)) (/ 8.0 3.0)) (* (sin (* 0.5 x)) (/ 8.0 3.0)) (/ (sin (* 0.5 x)) 3.0) (* 8.0 (sin (* x 0.5))) (expm1 (* (/ 8.0 3.0) (pow (sin (* x 0.5)) 2))) (log1p (* (/ 8.0 3.0) (pow (sin (* x 0.5)) 2))) (* (/ 8.0 3.0) (pow (sin (* x 0.5)) 2)) (* (/ 8.0 3.0) (pow (sin (* x 0.5)) 2)) (log (* (/ 8.0 3.0) (pow (sin (* x 0.5)) 2))) (log (* (/ 8.0 3.0) (pow (sin (* x 0.5)) 2))) (log (* (/ 8.0 3.0) (pow (sin (* x 0.5)) 2))) (log (* (/ 8.0 3.0) (pow (sin (* x 0.5)) 2))) (exp (* (/ 8.0 3.0) (pow (sin (* x 0.5)) 2))) (pow (* (/ 8.0 3.0) (pow (sin (* x 0.5)) 2)) 3) (pow (* (/ 8.0 3.0) (pow (sin (* x 0.5)) 2)) 3) (pow (* (/ 8.0 3.0) (pow (sin (* x 0.5)) 2)) 3) (* (cbrt (* (/ 8.0 3.0) (pow (sin (* x 0.5)) 2))) (cbrt (* (/ 8.0 3.0) (pow (sin (* x 0.5)) 2)))) (cbrt (* (/ 8.0 3.0) (pow (sin (* x 0.5)) 2))) (pow (* (/ 8.0 3.0) (pow (sin (* x 0.5)) 2)) 3) (sqrt (* (/ 8.0 3.0) (pow (sin (* x 0.5)) 2))) (sqrt (* (/ 8.0 3.0) (pow (sin (* x 0.5)) 2))) (* (* (/ 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)))) (* (sin (* 0.5 x)) (/ 8.0 3.0)) (pow (sin (* x 0.5)) 2) (* 8.0 (pow (sin (* x 0.5)) 2)) (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 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))) (- (fma 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)) 1.265 * * * [progress]: adding candidates to table 1.514 * * [progress]: iteration 2 / 4 1.514 * * * [progress]: picking best candidate 1.547 * * * * [pick]: Picked # 1.547 * * * [progress]: localizing error 1.565 * * * [progress]: generating rewritten candidates 1.565 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 1.576 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 1.580 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 1.595 * * * [progress]: generating series expansions 1.595 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 1.596 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in (x) around 0 1.596 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 1.596 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.596 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.596 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.596 * [taylor]: Taking taylor expansion of 0.5 in x 1.596 * [taylor]: Taking taylor expansion of x in x 1.598 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 1.598 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.598 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.598 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.598 * [taylor]: Taking taylor expansion of 0.5 in x 1.598 * [taylor]: Taking taylor expansion of x in x 1.621 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in (x) around 0 1.621 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 1.621 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.621 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.621 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.621 * [taylor]: Taking taylor expansion of 0.5 in x 1.621 * [taylor]: Taking taylor expansion of x in x 1.622 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 1.622 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.622 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.622 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.622 * [taylor]: Taking taylor expansion of 0.5 in x 1.622 * [taylor]: Taking taylor expansion of x in x 1.629 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in (x) around 0 1.629 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 1.629 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.629 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.629 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.629 * [taylor]: Taking taylor expansion of -0.5 in x 1.629 * [taylor]: Taking taylor expansion of x in x 1.630 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 1.630 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.630 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.630 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.630 * [taylor]: Taking taylor expansion of -0.5 in x 1.630 * [taylor]: Taking taylor expansion of x in x 1.636 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 1.636 * [approximate]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in (x) around 0 1.636 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 1.636 * [taylor]: Taking taylor expansion of (sin x) in x 1.636 * [taylor]: Taking taylor expansion of x in x 1.636 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.637 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.637 * [taylor]: Taking taylor expansion of 0.5 in x 1.637 * [taylor]: Taking taylor expansion of x in x 1.640 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 1.640 * [taylor]: Taking taylor expansion of (sin x) in x 1.640 * [taylor]: Taking taylor expansion of x in x 1.640 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.640 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.640 * [taylor]: Taking taylor expansion of 0.5 in x 1.640 * [taylor]: Taking taylor expansion of x in x 1.676 * [approximate]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in (x) around 0 1.677 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 1.677 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.677 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.677 * [taylor]: Taking taylor expansion of x in x 1.677 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.677 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.677 * [taylor]: Taking taylor expansion of 0.5 in x 1.677 * [taylor]: Taking taylor expansion of x in x 1.677 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 1.677 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.677 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.678 * [taylor]: Taking taylor expansion of x in x 1.678 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.678 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.678 * [taylor]: Taking taylor expansion of 0.5 in x 1.678 * [taylor]: Taking taylor expansion of x in x 1.681 * [approximate]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in (x) around 0 1.681 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 1.681 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.681 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.681 * [taylor]: Taking taylor expansion of -1 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 1.682 * [taylor]: Taking taylor expansion of -0.5 in x 1.682 * [taylor]: Taking taylor expansion of x in x 1.682 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 1.682 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.682 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.682 * [taylor]: Taking taylor expansion of -1 in x 1.682 * [taylor]: Taking taylor expansion of x in x 1.682 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.683 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.683 * [taylor]: Taking taylor expansion of -0.5 in x 1.683 * [taylor]: Taking taylor expansion of x in x 1.685 * * * * [progress]: [ 3 / 3 ] generating series at (2) 1.686 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in (x) around 0 1.686 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 1.686 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.686 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 1.686 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 1.686 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.686 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.686 * [taylor]: Taking taylor expansion of 0.5 in x 1.686 * [taylor]: Taking taylor expansion of x in x 1.689 * [taylor]: Taking taylor expansion of (sin x) in x 1.689 * [taylor]: Taking taylor expansion of x in x 1.690 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 1.690 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.690 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 1.690 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 1.690 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.690 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.690 * [taylor]: Taking taylor expansion of 0.5 in x 1.690 * [taylor]: Taking taylor expansion of x in x 1.693 * [taylor]: Taking taylor expansion of (sin x) in x 1.693 * [taylor]: Taking taylor expansion of x in x 1.734 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in (x) around 0 1.734 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 1.734 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.734 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 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 1.735 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.735 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.735 * [taylor]: Taking taylor expansion of x in x 1.735 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 1.735 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.735 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 1.735 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 1.735 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.735 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.735 * [taylor]: Taking taylor expansion of 0.5 in x 1.735 * [taylor]: Taking taylor expansion of x in x 1.736 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.736 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.736 * [taylor]: Taking taylor expansion of x in x 1.756 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in (x) around 0 1.756 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 1.756 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.756 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 1.756 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 1.756 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.756 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.756 * [taylor]: Taking taylor expansion of -0.5 in x 1.756 * [taylor]: Taking taylor expansion of x in x 1.756 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.756 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.756 * [taylor]: Taking taylor expansion of -1 in x 1.756 * [taylor]: Taking taylor expansion of x in x 1.757 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 1.757 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.757 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 1.757 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 1.757 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.757 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.757 * [taylor]: Taking taylor expansion of -0.5 in x 1.757 * [taylor]: Taking taylor expansion of x in x 1.758 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.758 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.758 * [taylor]: Taking taylor expansion of -1 in x 1.758 * [taylor]: Taking taylor expansion of x in x 1.772 * * * [progress]: simplifying candidates 1.774 * [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 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(sin (* 0.5 x))))) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sqrt (sin x)) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))))) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x))))) (/ (/ 8.0 3.0) (/ (sqrt (sin x)) (sin (* 0.5 x)))) (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (sqrt (sin (* 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)) (/ (sin x) (pow (sin (* x 0.5)) 2)) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (sin x)) (* (/ (sin x) (sin (* 0.5 x))) 3.0) (- (fma 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))) (- (fma 0.005208333333333334 (pow x 4) 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))) 2.815 * * * [progress]: adding candidates to table 3.176 * * [progress]: iteration 3 / 4 3.176 * * * [progress]: picking best candidate 3.202 * * * * [pick]: Picked # 3.202 * * * [progress]: localizing error 3.216 * * * [progress]: generating rewritten candidates 3.217 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 3.228 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 3.232 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 3.245 * * * [progress]: generating series expansions 3.245 * * * * [progress]: [ 1 / 3 ] generating series at (2) 3.245 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in (x) around 0 3.245 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 3.246 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 3.246 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 3.246 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 3.246 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 3.246 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 3.246 * [taylor]: Taking taylor expansion of 0.5 in x 3.246 * [taylor]: Taking taylor expansion of x in x 3.249 * [taylor]: Taking taylor expansion of (sin x) in x 3.249 * [taylor]: Taking taylor expansion of x in x 3.250 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 3.250 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 3.250 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 3.250 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 3.250 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 3.250 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 3.250 * [taylor]: Taking taylor expansion of 0.5 in x 3.250 * [taylor]: Taking taylor expansion of x in x 3.253 * [taylor]: Taking taylor expansion of (sin x) in x 3.253 * [taylor]: Taking taylor expansion of x in x 3.294 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in (x) around 0 3.294 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 3.294 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 3.294 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 3.294 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 3.294 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 3.294 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 3.294 * [taylor]: Taking taylor expansion of 0.5 in x 3.294 * [taylor]: Taking taylor expansion of x in x 3.294 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 3.295 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.295 * [taylor]: Taking taylor expansion of x in x 3.295 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 3.295 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 3.295 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 3.295 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 3.295 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 3.295 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 3.295 * [taylor]: Taking taylor expansion of 0.5 in x 3.295 * [taylor]: Taking taylor expansion of x in x 3.296 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 3.296 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.296 * [taylor]: Taking taylor expansion of x in x 3.314 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in (x) around 0 3.314 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 3.314 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 3.314 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 3.314 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 3.314 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 3.314 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 3.314 * [taylor]: Taking taylor expansion of -0.5 in x 3.314 * [taylor]: Taking taylor expansion of x in x 3.315 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 3.315 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.315 * [taylor]: Taking taylor expansion of -1 in x 3.315 * [taylor]: Taking taylor expansion of x in x 3.316 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 3.316 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 3.316 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 3.316 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 3.316 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 3.316 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 3.316 * [taylor]: Taking taylor expansion of -0.5 in x 3.316 * [taylor]: Taking taylor expansion of x in x 3.316 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 3.316 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.316 * [taylor]: Taking taylor expansion of -1 in x 3.317 * [taylor]: Taking taylor expansion of x in x 3.331 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 3.331 * [approximate]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in (x) around 0 3.332 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 3.332 * [taylor]: Taking taylor expansion of (sin x) in x 3.332 * [taylor]: Taking taylor expansion of x in x 3.332 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 3.332 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 3.332 * [taylor]: Taking taylor expansion of 0.5 in x 3.332 * [taylor]: Taking taylor expansion of x in x 3.335 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 3.335 * [taylor]: Taking taylor expansion of (sin x) in x 3.335 * [taylor]: Taking taylor expansion of x in x 3.335 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 3.335 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 3.335 * [taylor]: Taking taylor expansion of 0.5 in x 3.336 * [taylor]: Taking taylor expansion of x in x 3.367 * [approximate]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in (x) around 0 3.367 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 3.367 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 3.367 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.367 * [taylor]: Taking taylor expansion of x in x 3.367 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 3.367 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 3.367 * [taylor]: Taking taylor expansion of 0.5 in x 3.367 * [taylor]: Taking taylor expansion of x in x 3.368 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 3.368 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 3.368 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.368 * [taylor]: Taking taylor expansion of x in x 3.368 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 3.368 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 3.368 * [taylor]: Taking taylor expansion of 0.5 in x 3.368 * [taylor]: Taking taylor expansion of x in x 3.371 * [approximate]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in (x) around 0 3.371 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 3.371 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 3.371 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.371 * [taylor]: Taking taylor expansion of -1 in x 3.371 * [taylor]: Taking taylor expansion of x in x 3.371 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 3.371 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 3.371 * [taylor]: Taking taylor expansion of -0.5 in x 3.371 * [taylor]: Taking taylor expansion of x in x 3.372 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 3.372 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 3.372 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.372 * [taylor]: Taking taylor expansion of -1 in x 3.372 * [taylor]: Taking taylor expansion of x in x 3.372 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 3.372 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 3.373 * [taylor]: Taking taylor expansion of -0.5 in x 3.373 * [taylor]: Taking taylor expansion of x in x 3.375 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 3.375 * [approximate]: Taking taylor expansion of (* 3.0 (/ (sin x) (sin (* 0.5 x)))) in (x) around 0 3.375 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sin x) (sin (* 0.5 x)))) in x 3.375 * [taylor]: Taking taylor expansion of 3.0 in x 3.375 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 3.375 * [taylor]: Taking taylor expansion of (sin x) in x 3.375 * [taylor]: Taking taylor expansion of x in x 3.375 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 3.375 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 3.375 * [taylor]: Taking taylor expansion of 0.5 in x 3.375 * [taylor]: Taking taylor expansion of x in x 3.379 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sin x) (sin (* 0.5 x)))) in x 3.379 * [taylor]: Taking taylor expansion of 3.0 in x 3.380 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 3.380 * [taylor]: Taking taylor expansion of (sin x) in x 3.380 * [taylor]: Taking taylor expansion of x in x 3.380 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 3.380 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 3.380 * [taylor]: Taking taylor expansion of 0.5 in x 3.380 * [taylor]: Taking taylor expansion of x in x 3.420 * [approximate]: Taking taylor expansion of (* 3.0 (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) in (x) around 0 3.420 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) in x 3.420 * [taylor]: Taking taylor expansion of 3.0 in x 3.420 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 3.420 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 3.420 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.420 * [taylor]: Taking taylor expansion of x in x 3.421 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 3.421 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 3.421 * [taylor]: Taking taylor expansion of 0.5 in x 3.421 * [taylor]: Taking taylor expansion of x in x 3.421 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) in x 3.421 * [taylor]: Taking taylor expansion of 3.0 in x 3.421 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 3.421 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 3.421 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.421 * [taylor]: Taking taylor expansion of x in x 3.421 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 3.422 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 3.422 * [taylor]: Taking taylor expansion of 0.5 in x 3.422 * [taylor]: Taking taylor expansion of x in x 3.430 * [approximate]: Taking taylor expansion of (* 3.0 (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) in (x) around 0 3.430 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) in x 3.430 * [taylor]: Taking taylor expansion of 3.0 in x 3.430 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 3.430 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 3.430 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.430 * [taylor]: Taking taylor expansion of -1 in x 3.430 * [taylor]: Taking taylor expansion of x in x 3.431 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 3.431 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 3.431 * [taylor]: Taking taylor expansion of -0.5 in x 3.431 * [taylor]: Taking taylor expansion of x in x 3.432 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) in x 3.432 * [taylor]: Taking taylor expansion of 3.0 in x 3.432 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 3.432 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 3.432 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.432 * [taylor]: Taking taylor expansion of -1 in x 3.432 * [taylor]: Taking taylor expansion of x in x 3.432 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 3.432 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 3.432 * [taylor]: Taking taylor expansion of -0.5 in x 3.432 * [taylor]: Taking taylor expansion of x in x 3.441 * * * [progress]: simplifying candidates 3.443 * [simplify]: Simplifying using # : (expm1 (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (log1p (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (- (+ (log 8.0) (log (sin (* x 0.5)))) (+ (- (log (sin x)) (log (sin (* 0.5 x)))) (log 3.0))) (- (+ (log 8.0) (log (sin (* x 0.5)))) (+ (log (/ (sin x) (sin (* 0.5 x)))) (log 3.0))) (- (+ (log 8.0) (log (sin (* x 0.5)))) (log (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (- (log (* 8.0 (sin (* x 0.5)))) (+ (- (log (sin x)) (log (sin (* 0.5 x)))) (log 3.0))) (- (log (* 8.0 (sin (* x 0.5)))) (+ (log (/ (sin x) (sin (* 0.5 x)))) (log 3.0))) (- (log (* 8.0 (sin (* x 0.5)))) (log (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (log (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (exp (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (/ (* (* (* 8.0 8.0) 8.0) (* (* (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)))) (* (* 3.0 3.0) 3.0))) (/ (* (* (* 8.0 8.0) 8.0) (* (* (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)))) (* (* 3.0 3.0) 3.0))) (/ (* (* (* 8.0 8.0) 8.0) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* (* (/ (sin x) (sin (* 0.5 x))) 3.0) (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (/ (* (* (* 8.0 (sin (* x 0.5))) (* 8.0 (sin (* x 0.5)))) (* 8.0 (sin (* x 0.5)))) (* (/ (* (* (sin x) (sin x)) (sin x)) (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x)))) (* (* 3.0 3.0) 3.0))) (/ (* (* (* 8.0 (sin (* x 0.5))) (* 8.0 (sin (* x 0.5)))) (* 8.0 (sin (* x 0.5)))) (* (* (* (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 x)))) (* (* 3.0 3.0) 3.0))) (/ (* (* (* 8.0 (sin (* x 0.5))) (* 8.0 (sin (* x 0.5)))) (* 8.0 (sin (* x 0.5)))) (* (* (* (/ (sin x) (sin (* 0.5 x))) 3.0) (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (* (cbrt (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (cbrt (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0)))) (cbrt (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (* (* (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (sqrt (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (sqrt (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (- (* 8.0 (sin (* x 0.5)))) (- (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (/ 8.0 (/ (sin x) (sin (* 0.5 x)))) (/ (sin (* x 0.5)) 3.0) (/ 1 (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (/ (* (/ (sin x) (sin (* 0.5 x))) 3.0) (* 8.0 (sin (* x 0.5)))) (/ (* 8.0 (sin (* x 0.5))) (/ (sin x) (sin (* 0.5 x)))) (/ (* (/ (sin x) (sin (* 0.5 x))) 3.0) (sin (* x 0.5))) (/ (* 8.0 (sin (* x 0.5))) (* (sin x) 3.0)) (expm1 (/ (sin x) (sin (* 0.5 x)))) (log1p (/ (sin x) (sin (* 0.5 x)))) (- (log (sin x)) (log (sin (* 0.5 x)))) (log (/ (sin x) (sin (* 0.5 x)))) (exp (/ (sin x) (sin (* 0.5 x)))) (/ (* (* (sin x) (sin x)) (sin x)) (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x)))) (* (cbrt (/ (sin x) (sin (* 0.5 x)))) (cbrt (/ (sin x) (sin (* 0.5 x))))) (cbrt (/ (sin x) (sin (* 0.5 x)))) (* (* (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 x)))) (sqrt (/ (sin x) (sin (* 0.5 x)))) (sqrt (/ (sin x) (sin (* 0.5 x)))) (- (sin x)) (- (sin (* 0.5 x))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (cbrt (sin x)) (cbrt (sin (* 0.5 x)))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (sin (* 0.5 x)))) (/ (cbrt (sin x)) (sqrt (sin (* 0.5 x)))) (/ (* (cbrt (sin x)) (cbrt (sin x))) 1) (/ (cbrt (sin x)) (sin (* 0.5 x))) (/ (sqrt (sin x)) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (sqrt (sin x)) (cbrt (sin (* 0.5 x)))) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (/ (sqrt (sin x)) 1) (/ (sqrt (sin x)) (sin (* 0.5 x))) (/ 1 (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (sin x) (cbrt (sin (* 0.5 x)))) (/ 1 (sqrt (sin (* 0.5 x)))) (/ (sin x) (sqrt (sin (* 0.5 x)))) (/ 1 1) (/ (sin x) (sin (* 0.5 x))) (/ 1 (sin (* 0.5 x))) (/ (sin (* 0.5 x)) (sin x)) (/ (sin x) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (sin x) (sqrt (sin (* 0.5 x)))) (/ (sin x) 1) (/ (sin (* 0.5 x)) (cbrt (sin x))) (/ (sin (* 0.5 x)) (sqrt (sin x))) (/ (sin (* 0.5 x)) (sin x)) (expm1 (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (log1p (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (* (/ (sin x) (sin (* 0.5 x))) 3.0) (+ (- (log (sin x)) (log (sin (* 0.5 x)))) (log 3.0)) (+ (log (/ (sin x) (sin (* 0.5 x)))) (log 3.0)) (log (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (exp (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (* (/ (* (* (sin x) (sin x)) (sin x)) (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x)))) (* (* 3.0 3.0) 3.0)) (* (* (* (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 x)))) (* (* 3.0 3.0) 3.0)) (* (cbrt (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (cbrt (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (cbrt (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (* (* (* (/ (sin x) (sin (* 0.5 x))) 3.0) (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (sqrt (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (sqrt (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (* (sqrt (/ (sin x) (sin (* 0.5 x)))) (sqrt 3.0)) (* (sqrt (/ (sin x) (sin (* 0.5 x)))) (sqrt 3.0)) (* (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (sqrt 3.0)) (* (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (sqrt 3.0)) (* (/ (sin x) (sin (* 0.5 x))) (* (cbrt 3.0) (cbrt 3.0))) (* (/ (sin x) (sin (* 0.5 x))) (sqrt 3.0)) (* (/ (sin x) (sin (* 0.5 x))) 1) (* (cbrt (/ (sin x) (sin (* 0.5 x)))) 3.0) (* (sqrt (/ (sin x) (sin (* 0.5 x)))) 3.0) (* (/ (cbrt (sin x)) (cbrt (sin (* 0.5 x)))) 3.0) (* (/ (cbrt (sin x)) (sqrt (sin (* 0.5 x)))) 3.0) (* (/ (cbrt (sin x)) (sin (* 0.5 x))) 3.0) (* (/ (sqrt (sin x)) (cbrt (sin (* 0.5 x)))) 3.0) (* (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) 3.0) (* (/ (sqrt (sin x)) (sin (* 0.5 x))) 3.0) (* (/ (sin x) (cbrt (sin (* 0.5 x)))) 3.0) (* (/ (sin x) (sqrt (sin (* 0.5 x)))) 3.0) (* (/ (sin x) (sin (* 0.5 x))) 3.0) (* (/ (sin x) (sin (* 0.5 x))) 3.0) (* (/ 1 (sin (* 0.5 x))) 3.0) (* (sin x) 3.0) (+ (* 0.05555555555555555 (pow x 3)) (+ (* 0.005555555555555554 (pow x 5)) (* 0.6666666666666666 x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (- (+ (* 0.005208333333333334 (pow x 4)) 2.0) (* 0.25 (pow x 2))) (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x))) (- (+ (* 0.015625 (pow x 4)) 6.0) (* 0.75 (pow x 2))) (* 3.0 (/ (sin x) (sin (* 0.5 x)))) (* 3.0 (/ (sin x) (sin (* 0.5 x)))) 3.448 * * [simplify]: iteration 0 : 173 enodes (cost 1602 ) 3.485 * * [simplify]: iteration 1 : 446 enodes (cost 1539 ) 3.608 * * [simplify]: iteration 2 : 2119 enodes (cost 1186 ) 4.488 * * [simplify]: iteration done : 5001 enodes (cost 1186 ) 4.489 * [simplify]: Simplified to: (expm1 (* (/ (pow (sin (* 0.5 x)) 2) (sin x)) (/ 8.0 3.0))) (log1p (* (/ (pow (sin (* 0.5 x)) 2) (sin x)) (/ 8.0 3.0))) (log (* (/ (pow (sin (* 0.5 x)) 2) (sin x)) (/ 8.0 3.0))) (log (* (/ (pow (sin (* 0.5 x)) 2) (sin x)) (/ 8.0 3.0))) (log (* (/ (pow (sin (* 0.5 x)) 2) (sin x)) (/ 8.0 3.0))) (log (* (/ (pow (sin (* 0.5 x)) 2) (sin x)) (/ 8.0 3.0))) (log (* (/ (pow (sin (* 0.5 x)) 2) (sin x)) (/ 8.0 3.0))) (log (* (/ (pow (sin (* 0.5 x)) 2) (sin x)) (/ 8.0 3.0))) (log (* (/ (pow (sin (* 0.5 x)) 2) (sin x)) (/ 8.0 3.0))) (exp (* (/ (pow (sin (* 0.5 x)) 2) (sin x)) (/ 8.0 3.0))) (pow (* (/ (pow (sin (* 0.5 x)) 2) (sin x)) (/ 8.0 3.0)) 3) (pow (* (/ (pow (sin (* 0.5 x)) 2) (sin x)) (/ 8.0 3.0)) 3) (pow (* (/ (pow (sin (* 0.5 x)) 2) (sin x)) (/ 8.0 3.0)) 3) (pow (* (/ (pow (sin (* 0.5 x)) 2) (sin x)) (/ 8.0 3.0)) 3) (pow (* (/ (pow (sin (* 0.5 x)) 2) (sin x)) (/ 8.0 3.0)) 3) (pow (* (/ (pow (sin (* 0.5 x)) 2) (sin x)) (/ 8.0 3.0)) 3) (* (cbrt (* (/ (pow (sin (* 0.5 x)) 2) (sin x)) (/ 8.0 3.0))) (cbrt (* (/ (pow (sin (* 0.5 x)) 2) (sin x)) (/ 8.0 3.0)))) (cbrt (* (/ (pow (sin (* 0.5 x)) 2) (sin x)) (/ 8.0 3.0))) (pow (* (/ (pow (sin (* 0.5 x)) 2) (sin x)) (/ 8.0 3.0)) 3) (sqrt (* (/ (pow (sin (* 0.5 x)) 2) (sin x)) (/ 8.0 3.0))) (sqrt (* (/ (pow (sin (* 0.5 x)) 2) (sin x)) (/ 8.0 3.0))) (- (* 8.0 (sin (* x 0.5)))) (- (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (/ (* 8.0 (sin (* x 0.5))) (sin x)) (/ (sin (* 0.5 x)) 3.0) (/ 1 (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (/ (* (sin x) 3.0) (* (pow (sin (* 0.5 x)) 2) 8.0)) (/ (* (pow (sin (* 0.5 x)) 2) 8.0) (sin x)) (* 3.0 (/ (sin x) (pow (sin (* 0.5 x)) 2))) (/ (* 8.0 (sin (* x 0.5))) (* (sin x) 3.0)) (expm1 (/ (sin x) (sin (* 0.5 x)))) (log1p (/ (sin x) (sin (* 0.5 x)))) (log (/ (sin x) (sin (* 0.5 x)))) (log (/ (sin x) (sin (* 0.5 x)))) (exp (/ (sin x) (sin (* 0.5 x)))) (pow (/ (sin x) (sin (* 0.5 x))) 3) (* (cbrt (/ (sin x) (sin (* 0.5 x)))) (cbrt (/ (sin x) (sin (* 0.5 x))))) (cbrt (/ (sin x) (sin (* 0.5 x)))) (pow (/ (sin x) (sin (* 0.5 x))) 3) (sqrt (/ (sin x) (sin (* 0.5 x)))) (sqrt (/ (sin x) (sin (* 0.5 x)))) (- (sin x)) (- (sin (* 0.5 x))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (cbrt (sin x)) (cbrt (sin (* 0.5 x)))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (sin (* 0.5 x)))) (/ (cbrt (sin x)) (sqrt (sin (* 0.5 x)))) (* (cbrt (sin x)) (cbrt (sin x))) (/ (cbrt (sin x)) (sin (* 0.5 x))) (/ (sqrt (sin x)) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (sqrt (sin x)) (cbrt (sin (* 0.5 x)))) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (sqrt (sin x)) (/ (sqrt (sin x)) (sin (* 0.5 x))) (/ 1 (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (sin x) (cbrt (sin (* 0.5 x)))) (/ 1 (sqrt (sin (* 0.5 x)))) (/ (sin x) (sqrt (sin (* 0.5 x)))) 1 (/ (sin x) (sin (* 0.5 x))) (/ 1 (sin (* 0.5 x))) (/ (sin (* 0.5 x)) (sin x)) (/ (sin x) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (sin x) (sqrt (sin (* 0.5 x)))) (sin x) (/ (sin (* 0.5 x)) (cbrt (sin x))) (/ (sin (* 0.5 x)) (sqrt (sin x))) (/ (sin (* 0.5 x)) (sin x)) (expm1 (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (log1p (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (* (/ (sin x) (sin (* 0.5 x))) 3.0) (log (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (log (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (log (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (exp (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (pow (* (/ (sin x) (sin (* 0.5 x))) 3.0) 3) (pow (* (/ (sin x) (sin (* 0.5 x))) 3.0) 3) (* (cbrt (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (cbrt (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (cbrt (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (pow (* (/ (sin x) (sin (* 0.5 x))) 3.0) 3) (sqrt (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (sqrt (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (* (sqrt (/ (sin x) (sin (* 0.5 x)))) (sqrt 3.0)) (* (sqrt (/ (sin x) (sin (* 0.5 x)))) (sqrt 3.0)) (* (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (sqrt 3.0)) (* (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (sqrt 3.0)) (* (/ (sin x) (sin (* 0.5 x))) (* (cbrt 3.0) (cbrt 3.0))) (* (/ (sin x) (sin (* 0.5 x))) (sqrt 3.0)) (/ (sin x) (sin (* 0.5 x))) (* (cbrt (/ (sin x) (sin (* 0.5 x)))) 3.0) (* (sqrt (/ (sin x) (sin (* 0.5 x)))) 3.0) (* (/ (cbrt (sin x)) (cbrt (sin (* 0.5 x)))) 3.0) (* (/ (cbrt (sin x)) (sqrt (sin (* 0.5 x)))) 3.0) (* (/ (cbrt (sin x)) (sin (* 0.5 x))) 3.0) (* (/ (sqrt (sin x)) (cbrt (sin (* 0.5 x)))) 3.0) (* (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) 3.0) (* (/ (sqrt (sin x)) (sin (* 0.5 x))) 3.0) (* (/ (sin x) (cbrt (sin (* 0.5 x)))) 3.0) (* (/ (sin x) (sqrt (sin (* 0.5 x)))) 3.0) (* (/ (sin x) (sin (* 0.5 x))) 3.0) (* (/ (sin x) (sin (* 0.5 x))) 3.0) (/ 3.0 (sin (* 0.5 x))) (* (sin x) 3.0) (fma 0.05555555555555555 (pow x 3) (fma 0.005555555555555554 (pow x 5) (* 0.6666666666666666 x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (- (fma 0.005208333333333334 (pow x 4) 2.0) (* 0.25 (pow x 2))) (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x))) (- (fma 0.015625 (pow x 4) 6.0) (* 0.75 (pow x 2))) (* (/ (sin x) (sin (* 0.5 x))) 3.0) (* (/ (sin x) (sin (* 0.5 x))) 3.0) 4.489 * * * [progress]: adding candidates to table 4.754 * * [progress]: iteration 4 / 4 4.754 * * * [progress]: picking best candidate 4.781 * * * * [pick]: Picked # 4.781 * * * [progress]: localizing error 4.793 * * * [progress]: generating rewritten candidates 4.794 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 4.804 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 4.809 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 4.813 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 4.845 * * * [progress]: generating series expansions 4.845 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 4.846 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in (x) around 0 4.846 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 4.846 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 4.846 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 4.846 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 4.846 * [taylor]: Taking taylor expansion of 0.5 in x 4.846 * [taylor]: Taking taylor expansion of x in x 4.848 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 4.848 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 4.848 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 4.848 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 4.848 * [taylor]: Taking taylor expansion of 0.5 in x 4.848 * [taylor]: Taking taylor expansion of x in x 4.879 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in (x) around 0 4.879 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 4.879 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 4.879 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 4.879 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 4.879 * [taylor]: Taking taylor expansion of 0.5 in x 4.879 * [taylor]: Taking taylor expansion of x in x 4.879 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 4.879 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 4.879 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 4.879 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 4.879 * [taylor]: Taking taylor expansion of 0.5 in x 4.879 * [taylor]: Taking taylor expansion of x in x 4.886 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in (x) around 0 4.886 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 4.887 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 4.887 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 4.887 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 4.887 * [taylor]: Taking taylor expansion of -0.5 in x 4.887 * [taylor]: Taking taylor expansion of x in x 4.887 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 4.887 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 4.887 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 4.887 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 4.887 * [taylor]: Taking taylor expansion of -0.5 in x 4.887 * [taylor]: Taking taylor expansion of x in x 4.893 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 4.894 * [approximate]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in (x) around 0 4.894 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 4.894 * [taylor]: Taking taylor expansion of (sin x) in x 4.894 * [taylor]: Taking taylor expansion of x in x 4.894 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 4.894 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 4.894 * [taylor]: Taking taylor expansion of 0.5 in x 4.894 * [taylor]: Taking taylor expansion of x in x 4.898 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 4.898 * [taylor]: Taking taylor expansion of (sin x) in x 4.898 * [taylor]: Taking taylor expansion of x in x 4.898 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 4.898 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 4.898 * [taylor]: Taking taylor expansion of 0.5 in x 4.898 * [taylor]: Taking taylor expansion of x in x 4.929 * [approximate]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in (x) around 0 4.929 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 4.929 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 4.929 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.929 * [taylor]: Taking taylor expansion of x in x 4.929 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 4.929 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 4.929 * [taylor]: Taking taylor expansion of 0.5 in x 4.929 * [taylor]: Taking taylor expansion of x in x 4.930 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 4.930 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 4.930 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.930 * [taylor]: Taking taylor expansion of x in x 4.930 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 4.930 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 4.930 * [taylor]: Taking taylor expansion of 0.5 in x 4.930 * [taylor]: Taking taylor expansion of x in x 4.933 * [approximate]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in (x) around 0 4.933 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 4.933 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 4.933 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.933 * [taylor]: Taking taylor expansion of -1 in x 4.933 * [taylor]: Taking taylor expansion of x in x 4.933 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 4.934 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 4.934 * [taylor]: Taking taylor expansion of -0.5 in x 4.934 * [taylor]: Taking taylor expansion of x in x 4.934 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 4.934 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 4.934 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.934 * [taylor]: Taking taylor expansion of -1 in x 4.934 * [taylor]: Taking taylor expansion of x in x 4.935 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 4.935 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 4.935 * [taylor]: Taking taylor expansion of -0.5 in x 4.935 * [taylor]: Taking taylor expansion of x in x 4.937 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 4.937 * [approximate]: Taking taylor expansion of (/ (sin (* 0.5 x)) (sin x)) in (x) around 0 4.937 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 x)) (sin x)) in x 4.937 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 4.937 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 4.937 * [taylor]: Taking taylor expansion of 0.5 in x 4.937 * [taylor]: Taking taylor expansion of x in x 4.939 * [taylor]: Taking taylor expansion of (sin x) in x 4.939 * [taylor]: Taking taylor expansion of x in x 4.942 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 x)) (sin x)) in x 4.942 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 4.942 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 4.942 * [taylor]: Taking taylor expansion of 0.5 in x 4.942 * [taylor]: Taking taylor expansion of x in x 4.943 * [taylor]: Taking taylor expansion of (sin x) in x 4.943 * [taylor]: Taking taylor expansion of x in x 4.978 * [approximate]: Taking taylor expansion of (/ (sin (/ 0.5 x)) (sin (/ 1 x))) in (x) around 0 4.978 * [taylor]: Taking taylor expansion of (/ (sin (/ 0.5 x)) (sin (/ 1 x))) in x 4.978 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 4.978 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 4.978 * [taylor]: Taking taylor expansion of 0.5 in x 4.978 * [taylor]: Taking taylor expansion of x in x 4.978 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 4.978 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.978 * [taylor]: Taking taylor expansion of x in x 4.979 * [taylor]: Taking taylor expansion of (/ (sin (/ 0.5 x)) (sin (/ 1 x))) in x 4.979 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 4.979 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 4.979 * [taylor]: Taking taylor expansion of 0.5 in x 4.979 * [taylor]: Taking taylor expansion of x in x 4.979 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 4.979 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.979 * [taylor]: Taking taylor expansion of x in x 4.982 * [approximate]: Taking taylor expansion of (/ (sin (/ -0.5 x)) (sin (/ -1 x))) in (x) around 0 4.982 * [taylor]: Taking taylor expansion of (/ (sin (/ -0.5 x)) (sin (/ -1 x))) in x 4.982 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 4.982 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 4.982 * [taylor]: Taking taylor expansion of -0.5 in x 4.982 * [taylor]: Taking taylor expansion of x in x 4.983 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 4.983 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.983 * [taylor]: Taking taylor expansion of -1 in x 4.983 * [taylor]: Taking taylor expansion of x in x 4.983 * [taylor]: Taking taylor expansion of (/ (sin (/ -0.5 x)) (sin (/ -1 x))) in x 4.983 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 4.983 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 4.983 * [taylor]: Taking taylor expansion of -0.5 in x 4.983 * [taylor]: Taking taylor expansion of x in x 4.984 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 4.984 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.984 * [taylor]: Taking taylor expansion of -1 in x 4.984 * [taylor]: Taking taylor expansion of x in x 4.986 * * * * [progress]: [ 4 / 4 ] generating series at (2) 4.987 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in (x) around 0 4.987 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 4.987 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 4.987 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 4.987 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 4.987 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 4.987 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 4.987 * [taylor]: Taking taylor expansion of 0.5 in x 4.987 * [taylor]: Taking taylor expansion of x in x 4.991 * [taylor]: Taking taylor expansion of (sin x) in x 4.991 * [taylor]: Taking taylor expansion of x in x 4.992 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 4.992 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 4.992 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 4.992 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 4.992 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 4.992 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 4.992 * [taylor]: Taking taylor expansion of 0.5 in x 4.992 * [taylor]: Taking taylor expansion of x in x 4.995 * [taylor]: Taking taylor expansion of (sin x) in x 4.995 * [taylor]: Taking taylor expansion of x in x 5.038 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in (x) around 0 5.039 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 5.039 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 5.039 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 5.039 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 5.039 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 5.039 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 5.039 * [taylor]: Taking taylor expansion of 0.5 in x 5.039 * [taylor]: Taking taylor expansion of x in x 5.039 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 5.039 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.039 * [taylor]: Taking taylor expansion of x in x 5.040 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 5.040 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 5.040 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 5.040 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 5.040 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 5.040 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 5.040 * [taylor]: Taking taylor expansion of 0.5 in x 5.040 * [taylor]: Taking taylor expansion of x in x 5.041 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 5.041 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.041 * [taylor]: Taking taylor expansion of x in x 5.062 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in (x) around 0 5.062 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 5.062 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 5.062 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 5.062 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 5.062 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 5.062 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 5.062 * [taylor]: Taking taylor expansion of -0.5 in x 5.062 * [taylor]: Taking taylor expansion of x in x 5.063 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 5.063 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.063 * [taylor]: Taking taylor expansion of -1 in x 5.063 * [taylor]: Taking taylor expansion of x in x 5.063 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 5.063 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 5.063 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 5.063 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 5.063 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 5.063 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 5.063 * [taylor]: Taking taylor expansion of -0.5 in x 5.064 * [taylor]: Taking taylor expansion of x in x 5.064 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 5.064 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.064 * [taylor]: Taking taylor expansion of -1 in x 5.064 * [taylor]: Taking taylor expansion of x in x 5.081 * * * [progress]: simplifying candidates 5.086 * [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))) 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x))) (- (fma 0.005208333333333334 (pow x 4) 2.0) (* 0.25 (pow x 2))) (/ (sin x) (sin (* x 0.5))) (/ (sin x) (sin (* x 0.5))) (fma 0.0625 (pow x 2) (fma 0.006510416666666666 (pow x 4) 0.5)) (/ (sin (* x 0.5)) (sin x)) (/ (sin (* x 0.5)) (sin x)) (fma 0.05555555555555555 (pow x 3) (fma 0.005555555555555554 (pow x 5) (* 0.6666666666666666 x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) 8.139 * * * [progress]: adding candidates to table 8.760 * [progress]: [Phase 3 of 3] Extracting. 8.760 * * [regime]: Finding splitpoints for: (# # # # # # # # # #) 8.762 * * * [regime-changes]: Trying 1 branch expressions: (x) 8.762 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # #) 8.804 * * * [regime]: Found split indices: #