5.254 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.065 * * * [progress]: [2/2] Setting up program. 0.067 * [progress]: [Phase 2 of 3] Improving. 0.068 * [simplify]: Simplifying using # : (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x)) 0.070 * * [simplify]: iteration 0 : 20 enodes (cost 9 ) 0.072 * * [simplify]: iteration 1 : 43 enodes (cost 9 ) 0.073 * * [simplify]: iteration 2 : 93 enodes (cost 9 ) 0.076 * * [simplify]: iteration 3 : 174 enodes (cost 9 ) 0.079 * * [simplify]: iteration 4 : 269 enodes (cost 9 ) 0.083 * * [simplify]: iteration 5 : 288 enodes (cost 9 ) 0.087 * * [simplify]: iteration 6 : 288 enodes (cost 9 ) 0.087 * [simplify]: Simplified to: (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x)) 0.088 * * [progress]: iteration 1 / 4 0.088 * * * [progress]: picking best candidate 0.090 * * * * [pick]: Picked # 0.090 * * * [progress]: localizing error 0.101 * * * [progress]: generating rewritten candidates 0.101 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.122 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.132 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.159 * * * [progress]: generating series expansions 0.159 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.160 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in (x) around 0 0.160 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.160 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.160 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 0.160 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.160 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.160 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.160 * [taylor]: Taking taylor expansion of 0.5 in x 0.160 * [taylor]: Taking taylor expansion of x in x 0.163 * [taylor]: Taking taylor expansion of (sin x) in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.164 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.164 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.164 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 0.164 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.164 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.164 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.164 * [taylor]: Taking taylor expansion of 0.5 in x 0.164 * [taylor]: Taking taylor expansion of x in x 0.167 * [taylor]: Taking taylor expansion of (sin x) in x 0.167 * [taylor]: Taking taylor expansion of x in x 0.207 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in (x) around 0 0.207 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 0.207 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.207 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 0.207 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.207 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.207 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.207 * [taylor]: Taking taylor expansion of 0.5 in x 0.207 * [taylor]: Taking taylor expansion of x in x 0.207 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.207 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.207 * [taylor]: Taking taylor expansion of x in x 0.208 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 0.208 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.208 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 0.208 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.208 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.208 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.208 * [taylor]: Taking taylor expansion of 0.5 in x 0.208 * [taylor]: Taking taylor expansion of x in x 0.209 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.209 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.209 * [taylor]: Taking taylor expansion of x in x 0.223 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in (x) around 0 0.224 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.224 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.224 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 0.224 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.224 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.224 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.224 * [taylor]: Taking taylor expansion of -0.5 in x 0.224 * [taylor]: Taking taylor expansion of x in x 0.224 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.224 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.224 * [taylor]: Taking taylor expansion of -1 in x 0.224 * [taylor]: Taking taylor expansion of x in x 0.225 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.225 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.225 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 0.225 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.225 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.225 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.225 * [taylor]: Taking taylor expansion of -0.5 in x 0.225 * [taylor]: Taking taylor expansion of x in x 0.225 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.225 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.225 * [taylor]: Taking taylor expansion of -1 in x 0.225 * [taylor]: Taking taylor expansion of x in x 0.243 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.244 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in (x) around 0 0.244 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 0.244 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.244 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.244 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.244 * [taylor]: Taking taylor expansion of 0.5 in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.245 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 0.245 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.245 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.245 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.245 * [taylor]: Taking taylor expansion of 0.5 in x 0.245 * [taylor]: Taking taylor expansion of x in x 0.268 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in (x) around 0 0.268 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 0.268 * [taylor]: Taking taylor expansion of 2.6666666666666665 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 0.269 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 0.269 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.269 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.269 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.269 * [taylor]: Taking taylor expansion of 0.5 in x 0.269 * [taylor]: Taking taylor expansion of x in x 0.275 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in (x) around 0 0.275 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 0.275 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.275 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.275 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.275 * [taylor]: Taking taylor expansion of -0.5 in x 0.275 * [taylor]: Taking taylor expansion of x in x 0.276 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 0.276 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.276 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.276 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.276 * [taylor]: Taking taylor expansion of -0.5 in x 0.276 * [taylor]: Taking taylor expansion of x in x 0.282 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.282 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (* 0.5 x)) 2)) in (x) around 0 0.282 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (* 0.5 x)) 2)) 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) 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 (* 2.6666666666666665 (pow (sin (* 0.5 x)) 2)) in x 0.285 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.285 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.285 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.285 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.285 * [taylor]: Taking taylor expansion of 0.5 in x 0.285 * [taylor]: Taking taylor expansion of x in x 0.315 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ 0.5 x)) 2)) in (x) around 0 0.315 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ 0.5 x)) 2)) in x 0.315 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.315 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.315 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.315 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.315 * [taylor]: Taking taylor expansion of 0.5 in x 0.315 * [taylor]: Taking taylor expansion of x in x 0.315 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ 0.5 x)) 2)) in x 0.315 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.315 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.315 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.315 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.315 * [taylor]: Taking taylor expansion of 0.5 in x 0.315 * [taylor]: Taking taylor expansion of x in x 0.329 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ -0.5 x)) 2)) in (x) around 0 0.329 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ -0.5 x)) 2)) in x 0.329 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.329 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.329 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.329 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.329 * [taylor]: Taking taylor expansion of -0.5 in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.329 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ -0.5 x)) 2)) 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) 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 0.340 * * * [progress]: simplifying candidates 0.342 * [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)) 0.349 * * [simplify]: iteration 0 : 412 enodes (cost 862 ) 0.359 * * [simplify]: iteration 1 : 2127 enodes (cost 656 ) 0.398 * * [simplify]: iteration 2 : 5001 enodes (cost 637 ) 0.401 * [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)) 0.402 * * * [progress]: adding candidates to table 0.623 * * [progress]: iteration 2 / 4 0.623 * * * [progress]: picking best candidate 0.664 * * * * [pick]: Picked # 0.664 * * * [progress]: localizing error 0.679 * * * [progress]: generating rewritten candidates 0.679 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.690 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.712 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.719 * * * [progress]: generating series expansions 0.719 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.720 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in (x) around 0 0.720 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 0.720 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.720 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.720 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.720 * [taylor]: Taking taylor expansion of 0.5 in x 0.720 * [taylor]: Taking taylor expansion of x in x 0.721 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 0.721 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.721 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.721 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.721 * [taylor]: Taking taylor expansion of 0.5 in x 0.721 * [taylor]: Taking taylor expansion of x in x 0.747 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in (x) around 0 0.747 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 0.747 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.747 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.747 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.747 * [taylor]: Taking taylor expansion of 0.5 in x 0.747 * [taylor]: Taking taylor expansion of x in x 0.748 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 0.748 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.748 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.748 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.748 * [taylor]: Taking taylor expansion of 0.5 in x 0.748 * [taylor]: Taking taylor expansion of x in x 0.755 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in (x) around 0 0.755 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 0.755 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.755 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.755 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.755 * [taylor]: Taking taylor expansion of -0.5 in x 0.755 * [taylor]: Taking taylor expansion of x in x 0.755 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 0.755 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.755 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.755 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.755 * [taylor]: Taking taylor expansion of -0.5 in x 0.755 * [taylor]: Taking taylor expansion of x in x 0.761 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.762 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in (x) around 0 0.762 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.762 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.762 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 0.762 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.762 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.762 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.762 * [taylor]: Taking taylor expansion of 0.5 in x 0.762 * [taylor]: Taking taylor expansion of x in x 0.765 * [taylor]: Taking taylor expansion of (sin x) in x 0.765 * [taylor]: Taking taylor expansion of x in x 0.766 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.766 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.766 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 0.766 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.766 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.766 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.766 * [taylor]: Taking taylor expansion of 0.5 in x 0.766 * [taylor]: Taking taylor expansion of x in x 0.769 * [taylor]: Taking taylor expansion of (sin x) in x 0.769 * [taylor]: Taking taylor expansion of x in x 0.807 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in (x) around 0 0.808 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 0.808 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.808 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 0.808 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.808 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.808 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.808 * [taylor]: Taking taylor expansion of 0.5 in x 0.808 * [taylor]: Taking taylor expansion of x in x 0.808 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.808 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.808 * [taylor]: Taking taylor expansion of x in x 0.809 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 0.809 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.809 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 0.809 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.809 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.809 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.809 * [taylor]: Taking taylor expansion of 0.5 in x 0.809 * [taylor]: Taking taylor expansion of x in x 0.809 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.809 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.809 * [taylor]: Taking taylor expansion of x in x 0.828 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in (x) around 0 0.828 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.828 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.828 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 0.828 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.828 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.828 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.828 * [taylor]: Taking taylor expansion of -0.5 in x 0.828 * [taylor]: Taking taylor expansion of x in x 0.829 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.829 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.829 * [taylor]: Taking taylor expansion of -1 in x 0.829 * [taylor]: Taking taylor expansion of x in x 0.829 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.829 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.830 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 0.830 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.830 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.830 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.830 * [taylor]: Taking taylor expansion of -0.5 in x 0.830 * [taylor]: Taking taylor expansion of x in x 0.830 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.830 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.830 * [taylor]: Taking taylor expansion of -1 in x 0.830 * [taylor]: Taking taylor expansion of x in x 0.845 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.845 * [approximate]: Taking taylor expansion of (/ (sin (* 0.5 x)) (sin x)) in (x) around 0 0.845 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 x)) (sin x)) in x 0.845 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.845 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.845 * [taylor]: Taking taylor expansion of 0.5 in x 0.845 * [taylor]: Taking taylor expansion of x in x 0.846 * [taylor]: Taking taylor expansion of (sin x) in x 0.846 * [taylor]: Taking taylor expansion of x in x 0.849 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 x)) (sin x)) in x 0.849 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.849 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.849 * [taylor]: Taking taylor expansion of 0.5 in x 0.849 * [taylor]: Taking taylor expansion of x in x 0.850 * [taylor]: Taking taylor expansion of (sin x) in x 0.850 * [taylor]: Taking taylor expansion of x in x 0.877 * [approximate]: Taking taylor expansion of (/ (sin (/ 0.5 x)) (sin (/ 1 x))) in (x) around 0 0.877 * [taylor]: Taking taylor expansion of (/ (sin (/ 0.5 x)) (sin (/ 1 x))) in x 0.877 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.877 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.877 * [taylor]: Taking taylor expansion of 0.5 in x 0.877 * [taylor]: Taking taylor expansion of x in x 0.878 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.878 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.878 * [taylor]: Taking taylor expansion of x in x 0.878 * [taylor]: Taking taylor expansion of (/ (sin (/ 0.5 x)) (sin (/ 1 x))) in x 0.878 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.878 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.878 * [taylor]: Taking taylor expansion of 0.5 in x 0.878 * [taylor]: Taking taylor expansion of x in x 0.879 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.879 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.879 * [taylor]: Taking taylor expansion of x in x 0.881 * [approximate]: Taking taylor expansion of (/ (sin (/ -0.5 x)) (sin (/ -1 x))) in (x) around 0 0.881 * [taylor]: Taking taylor expansion of (/ (sin (/ -0.5 x)) (sin (/ -1 x))) in x 0.881 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.881 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.881 * [taylor]: Taking taylor expansion of -0.5 in x 0.881 * [taylor]: Taking taylor expansion of x in x 0.882 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.882 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.882 * [taylor]: Taking taylor expansion of -1 in x 0.882 * [taylor]: Taking taylor expansion of x in x 0.882 * [taylor]: Taking taylor expansion of (/ (sin (/ -0.5 x)) (sin (/ -1 x))) in x 0.882 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.882 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.882 * [taylor]: Taking taylor expansion of -0.5 in x 0.882 * [taylor]: Taking taylor expansion of x in x 0.883 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.883 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.883 * [taylor]: Taking taylor expansion of -1 in x 0.883 * [taylor]: Taking taylor expansion of x in x 0.885 * * * [progress]: simplifying candidates 0.887 * [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 (* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))) (log1p (* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))) (* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x))) (* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x))) (+ (+ (- (log 8.0) (log 3.0)) (log (sin (* x 0.5)))) (- (log (sin (* 0.5 x))) (log (sin x)))) (+ (+ (- (log 8.0) (log 3.0)) (log (sin (* x 0.5)))) (log (/ (sin (* 0.5 x)) (sin x)))) (+ (+ (log (/ 8.0 3.0)) (log (sin (* x 0.5)))) (- (log (sin (* 0.5 x))) (log (sin x)))) (+ (+ (log (/ 8.0 3.0)) (log (sin (* x 0.5)))) (log (/ 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(cbrt (sin x))) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (sqrt (sin x))) (/ (cbrt (sin (* 0.5 x))) (sqrt (sin x))) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) 1) (/ (cbrt (sin (* 0.5 x))) (sin x)) (/ (sqrt (sin (* 0.5 x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (sin (* 0.5 x))) (cbrt (sin x))) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x))) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x))) (/ (sqrt (sin (* 0.5 x))) 1) (/ (sqrt (sin (* 0.5 x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sin (* 0.5 x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (sin (* 0.5 x)) (sqrt (sin x))) (/ 1 1) (/ (sin (* 0.5 x)) (sin x)) (/ 1 (sin x)) (/ (sin x) (sin (* 0.5 x))) (/ (sin (* 0.5 x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sin (* 0.5 x)) (sqrt (sin x))) (/ (sin (* 0.5 x)) 1) (/ (sin x) (cbrt (sin (* 0.5 x)))) (/ (sin x) (sqrt (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 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))) (+ (* 0.05555555555555555 (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))) (+ (* 0.0625 (pow x 2)) (+ (* 0.006510416666666666 (pow x 4)) 0.5)) (/ (sin (* 0.5 x)) (sin x)) (/ (sin (* 0.5 x)) (sin x)) 0.894 * * [simplify]: iteration 0 : 474 enodes (cost 1006 ) 0.906 * * [simplify]: iteration 1 : 2505 enodes (cost 814 ) 0.951 * * [simplify]: iteration 2 : 5001 enodes (cost 799 ) 0.956 * [simplify]: Simplified to: (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 (* 0.5 x)) (sin x)))) (log1p (* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))) (/ (* 8.0 (/ (pow (sin (* 0.5 x)) 2) (sin x))) 3.0) (/ (* 8.0 (/ (pow (sin (* 0.5 x)) 2) (sin x))) 3.0) (+ (log (/ 8.0 3.0)) (log (/ (pow (sin (* 0.5 x)) 2) (sin x)))) (+ (log (/ 8.0 3.0)) (log (/ (pow (sin (* 0.5 x)) 2) (sin x)))) (+ (log (/ 8.0 3.0)) (log (/ (pow (sin (* 0.5 x)) 2) (sin x)))) (+ (log (/ 8.0 3.0)) (log (/ (pow (sin (* 0.5 x)) 2) (sin x)))) (+ (log (/ 8.0 3.0)) (log (/ (pow (sin (* 0.5 x)) 2) (sin x)))) (+ (log (/ 8.0 3.0)) (log (/ (pow (sin (* 0.5 x)) 2) (sin x)))) (+ (log (/ 8.0 3.0)) (log (/ (pow (sin (* 0.5 x)) 2) (sin x)))) (pow (exp (/ 8.0 3.0)) (/ (pow (sin (* 0.5 x)) 2) (sin x))) (pow (/ (* 8.0 (/ (pow (sin (* 0.5 x)) 2) (sin x))) 3.0) 3) (pow (/ (* 8.0 (/ (pow (sin (* 0.5 x)) 2) (sin x))) 3.0) 3) (pow (/ (* 8.0 (/ (pow (sin (* 0.5 x)) 2) (sin x))) 3.0) 3) (pow (/ (* 8.0 (/ (pow (sin (* 0.5 x)) 2) (sin x))) 3.0) 3) (pow (/ (* 8.0 (/ (pow (sin (* 0.5 x)) 2) (sin x))) 3.0) 3) (pow (/ (* 8.0 (/ (pow (sin (* 0.5 x)) 2) (sin x))) 3.0) 3) (* (cbrt (* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))) (cbrt (* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x))))) (cbrt (* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))) (pow (/ (* 8.0 (/ (pow (sin (* 0.5 x)) 2) (sin x))) 3.0) 3) (sqrt (* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))) (sqrt (* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))) (* (pow (sin (* 0.5 x)) 2) 8.0) (* 3.0 (sin x)) (* (* (/ 8.0 3.0) (sin (* x 0.5))) (* (cbrt (/ (sin (* 0.5 x)) (sin x))) (cbrt (/ (sin (* 0.5 x)) (sin x))))) (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sqrt (/ (sin (* 0.5 x)) (sin x)))) (* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (* (cbrt (sin x)) (cbrt (sin x))))) (* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (* (cbrt 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x)))) (cbrt (/ (sin (* 0.5 x)) (sin x))) (pow (/ (sin (* 0.5 x)) (sin x)) 3) (sqrt (/ (sin (* 0.5 x)) (sin x))) (sqrt (/ (sin (* 0.5 x)) (sin x))) (- (sin (* 0.5 x))) (- (sin x)) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt (sin (* 0.5 x))) (cbrt (sin x))) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (sqrt (sin x))) (/ (cbrt (sin (* 0.5 x))) (sqrt (sin x))) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (/ (cbrt (sin (* 0.5 x))) (sin x)) (/ (sqrt (sin (* 0.5 x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (sin (* 0.5 x))) (cbrt (sin x))) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x))) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x))) (sqrt (sin (* 0.5 x))) (/ (sqrt (sin (* 0.5 x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sin (* 0.5 x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (sin (* 0.5 x)) (sqrt (sin x))) 1 (/ (sin (* 0.5 x)) (sin x)) (/ 1 (sin x)) (/ (sin x) (sin (* 0.5 x))) (/ (sin (* 0.5 x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sin (* 0.5 x)) (sqrt (sin x))) (sin (* 0.5 x)) (/ (sin x) (cbrt (sin (* 0.5 x)))) (/ (sin x) (sqrt (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 x))) (fma x 1.3333333333333333 (- (* 0.0006944444444444444 (pow x 5)) (* 0.05555555555555555 (pow x 3)))) (* 2.6666666666666665 (sin (* 0.5 x))) (* 2.6666666666666665 (sin (* 0.5 x))) (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 0.0625 (pow x 2) (fma 0.006510416666666666 (pow x 4) 0.5)) (/ (sin (* 0.5 x)) (sin x)) (/ (sin (* 0.5 x)) (sin x)) 0.956 * * * [progress]: adding candidates to table 1.247 * * [progress]: iteration 3 / 4 1.247 * * * [progress]: picking best candidate 1.273 * * * * [pick]: Picked # 1.274 * * * [progress]: localizing error 1.288 * * * [progress]: generating rewritten candidates 1.288 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 1.306 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 1.310 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 1.319 * * * [progress]: generating series expansions 1.319 * * * * [progress]: [ 1 / 3 ] generating series at (2) 1.319 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in (x) around 0 1.319 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 1.319 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.319 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 1.319 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 1.319 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.319 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.319 * [taylor]: Taking taylor expansion of 0.5 in x 1.319 * [taylor]: Taking taylor expansion of x in x 1.323 * [taylor]: Taking taylor expansion of (sin x) in x 1.323 * [taylor]: Taking taylor expansion of x in x 1.324 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 1.324 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.324 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 1.324 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 1.324 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.324 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.324 * [taylor]: Taking taylor expansion of 0.5 in x 1.324 * [taylor]: Taking taylor expansion of x in x 1.327 * [taylor]: Taking taylor expansion of (sin x) in x 1.327 * [taylor]: Taking taylor expansion of x in x 1.366 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in (x) around 0 1.366 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 1.366 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.366 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 1.366 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 1.366 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.366 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.366 * [taylor]: Taking taylor expansion of 0.5 in x 1.366 * [taylor]: Taking taylor expansion of x in x 1.366 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.366 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.366 * [taylor]: Taking taylor expansion of x in x 1.367 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 1.367 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.367 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 1.367 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 1.367 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.367 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.367 * [taylor]: Taking taylor expansion of 0.5 in x 1.367 * [taylor]: Taking taylor expansion of x in x 1.367 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.368 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.368 * [taylor]: Taking taylor expansion of x in x 1.386 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in (x) around 0 1.386 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 1.386 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.386 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 1.386 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 1.386 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.386 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.386 * [taylor]: Taking taylor expansion of -0.5 in x 1.386 * [taylor]: Taking taylor expansion of x in x 1.387 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.387 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.387 * [taylor]: Taking taylor expansion of -1 in x 1.387 * [taylor]: Taking taylor expansion of x in x 1.388 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 1.388 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.388 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 1.388 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 1.388 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.388 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.388 * [taylor]: Taking taylor expansion of -0.5 in x 1.388 * [taylor]: Taking taylor expansion of x in x 1.388 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.388 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.388 * [taylor]: Taking taylor expansion of -1 in x 1.388 * [taylor]: Taking taylor expansion of x in x 1.403 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 1.403 * [approximate]: Taking taylor expansion of (/ (sin (* 0.5 x)) (sin x)) in (x) around 0 1.403 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 x)) (sin x)) in x 1.403 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.403 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.403 * [taylor]: Taking taylor expansion of 0.5 in x 1.403 * [taylor]: Taking taylor expansion of x in x 1.404 * [taylor]: Taking taylor expansion of (sin x) in x 1.404 * [taylor]: Taking taylor expansion of x in x 1.406 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 x)) (sin x)) in x 1.407 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.407 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.407 * [taylor]: Taking taylor expansion of 0.5 in x 1.407 * [taylor]: Taking taylor expansion of x in x 1.408 * [taylor]: Taking taylor expansion of (sin x) in x 1.408 * [taylor]: Taking taylor expansion of x in x 1.435 * [approximate]: Taking taylor expansion of (/ (sin (/ 0.5 x)) (sin (/ 1 x))) in (x) around 0 1.435 * [taylor]: Taking taylor expansion of (/ (sin (/ 0.5 x)) (sin (/ 1 x))) in x 1.435 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.435 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.435 * [taylor]: Taking taylor expansion of 0.5 in x 1.435 * [taylor]: Taking taylor expansion of x in x 1.436 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.436 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.436 * [taylor]: Taking taylor expansion of x in x 1.436 * [taylor]: Taking taylor expansion of (/ (sin (/ 0.5 x)) (sin (/ 1 x))) in x 1.436 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.436 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.436 * [taylor]: Taking taylor expansion of 0.5 in x 1.436 * [taylor]: Taking taylor expansion of x in x 1.436 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.437 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.437 * [taylor]: Taking taylor expansion of x in x 1.439 * [approximate]: Taking taylor expansion of (/ (sin (/ -0.5 x)) (sin (/ -1 x))) in (x) around 0 1.439 * [taylor]: Taking taylor expansion of (/ (sin (/ -0.5 x)) (sin (/ -1 x))) in x 1.439 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.439 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.439 * [taylor]: Taking taylor expansion of -0.5 in x 1.439 * [taylor]: Taking taylor expansion of x in x 1.440 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.440 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.440 * [taylor]: Taking taylor expansion of -1 in x 1.440 * [taylor]: Taking taylor expansion of x in x 1.440 * [taylor]: Taking taylor expansion of (/ (sin (/ -0.5 x)) (sin (/ -1 x))) in x 1.440 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.440 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.440 * [taylor]: Taking taylor expansion of -0.5 in x 1.440 * [taylor]: Taking taylor expansion of x in x 1.441 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.441 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.441 * [taylor]: Taking taylor expansion of -1 in x 1.441 * [taylor]: Taking taylor expansion of x in x 1.443 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 1.443 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in (x) around 0 1.443 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 1.443 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.443 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.443 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.443 * [taylor]: Taking taylor expansion of 0.5 in x 1.443 * [taylor]: Taking taylor expansion of x in x 1.445 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 1.445 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.445 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.445 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.445 * [taylor]: Taking taylor expansion of 0.5 in x 1.445 * [taylor]: Taking taylor expansion of x in x 1.467 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in (x) around 0 1.467 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 1.467 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.467 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.467 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.467 * [taylor]: Taking taylor expansion of 0.5 in x 1.467 * [taylor]: Taking taylor expansion of x in x 1.468 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 1.468 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.468 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.468 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.468 * [taylor]: Taking taylor expansion of 0.5 in x 1.468 * [taylor]: Taking taylor expansion of x in x 1.477 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in (x) around 0 1.477 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 1.477 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.477 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.477 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.477 * [taylor]: Taking taylor expansion of -0.5 in x 1.477 * [taylor]: Taking taylor expansion of x in x 1.478 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 1.478 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.478 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.478 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.478 * [taylor]: Taking taylor expansion of -0.5 in x 1.478 * [taylor]: Taking taylor expansion of x in x 1.484 * * * [progress]: simplifying candidates 1.485 * [simplify]: Simplifying using # : (expm1 (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin (* 0.5 x)) (sin x)))) (log1p (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin (* 0.5 x)) (sin x)))) (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin (* 0.5 x)) (sin x))) (+ (- (+ (log 8.0) (log (sin (* x 0.5)))) (log 3.0)) (- (log (sin (* 0.5 x))) (log (sin x)))) (+ (- (+ (log 8.0) (log (sin (* x 0.5)))) (log 3.0)) (log (/ (sin (* 0.5 x)) (sin x)))) (+ (- (log (* 8.0 (sin (* x 0.5)))) (log 3.0)) (- (log (sin (* 0.5 x))) (log (sin x)))) (+ (- (log (* 8.0 (sin (* x 0.5)))) (log 3.0)) (log (/ (sin (* 0.5 x)) (sin x)))) (+ (log (/ (* 8.0 (sin (* x 0.5))) 3.0)) (- (log (sin (* 0.5 x))) (log (sin x)))) (+ (log (/ (* 8.0 (sin (* x 0.5))) 3.0)) (log (/ (sin (* 0.5 x)) (sin x)))) (log (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin (* 0.5 x)) (sin x)))) (exp (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin (* 0.5 x)) (sin x)))) (* (/ (* (* (* 8.0 8.0) 8.0) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* 3.0 3.0) 3.0)) (/ (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x))) (* (* (sin x) (sin x)) (sin x)))) (* (/ (* (* (* 8.0 8.0) 8.0) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* 3.0 3.0) 3.0)) (* (* (/ (sin (* 0.5 x)) (sin x)) (/ (sin (* 0.5 x)) (sin x))) (/ (sin (* 0.5 x)) (sin x)))) (* (/ (* (* (* 8.0 (sin (* x 0.5))) (* 8.0 (sin (* x 0.5)))) (* 8.0 (sin (* x 0.5)))) (* (* 3.0 3.0) 3.0)) (/ (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x))) (* (* (sin x) (sin x)) (sin x)))) (* (/ (* (* (* 8.0 (sin (* x 0.5))) (* 8.0 (sin (* x 0.5)))) (* 8.0 (sin (* x 0.5)))) (* (* 3.0 3.0) 3.0)) (* (* (/ (sin (* 0.5 x)) (sin x)) (/ (sin (* 0.5 x)) (sin x))) (/ (sin (* 0.5 x)) (sin x)))) (* (* (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (* 8.0 (sin (* x 0.5))) 3.0)) (/ (* 8.0 (sin (* x 0.5))) 3.0)) (/ (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x))) (* (* (sin x) (sin x)) (sin x)))) (* (* (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (* 8.0 (sin (* x 0.5))) 3.0)) (/ (* 8.0 (sin (* x 0.5))) 3.0)) (* (* (/ (sin (* 0.5 x)) (sin x)) (/ (sin (* 0.5 x)) (sin x))) (/ (sin (* 0.5 x)) (sin x)))) (* (cbrt (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin (* 0.5 x)) (sin x)))) (cbrt (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin (* 0.5 x)) (sin x))))) (cbrt (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin (* 0.5 x)) (sin x)))) (* (* (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin (* 0.5 x)) (sin x))) (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin (* 0.5 x)) (sin x)))) (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin (* 0.5 x)) (sin x)))) (sqrt (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin (* 0.5 x)) (sin x)))) (sqrt (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin (* 0.5 x)) (sin x)))) (* (* 8.0 (sin (* x 0.5))) (sin (* 0.5 x))) (* 3.0 (sin x)) (* (sqrt (/ (* 8.0 (sin (* x 0.5))) 3.0)) (sqrt (/ (sin (* 0.5 x)) (sin x)))) (* (sqrt (/ (* 8.0 (sin (* x 0.5))) 3.0)) (sqrt (/ (sin (* 0.5 x)) (sin x)))) (* (sqrt (/ (* 8.0 (sin (* x 0.5))) 3.0)) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x)))) (* (sqrt (/ (* 8.0 (sin (* x 0.5))) 3.0)) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x)))) (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (* (cbrt (/ (sin (* 0.5 x)) (sin x))) (cbrt (/ (sin (* 0.5 x)) (sin x))))) (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (sqrt (/ (sin (* 0.5 x)) (sin x)))) (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (* (cbrt (sin x)) (cbrt (sin x))))) (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (sqrt (sin x)))) (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) 1)) (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sqrt (sin (* 0.5 x))) (* (cbrt (sin x)) (cbrt (sin x))))) (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x)))) (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sqrt (sin (* 0.5 x))) 1)) (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ 1 (* (cbrt (sin x)) (cbrt (sin x))))) (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ 1 (sqrt (sin x)))) (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ 1 1)) (* (/ (* 8.0 (sin (* x 0.5))) 3.0) 1) (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (sin (* 0.5 x))) (* (cbrt (/ (* 8.0 (sin (* x 0.5))) 3.0)) (/ (sin (* 0.5 x)) (sin x))) (* (sqrt (/ (* 8.0 (sin (* x 0.5))) 3.0)) (/ (sin (* 0.5 x)) (sin x))) (* (/ (sin (* x 0.5)) (cbrt 3.0)) (/ (sin (* 0.5 x)) (sin x))) (* (/ (sin (* x 0.5)) (sqrt 3.0)) (/ (sin (* 0.5 x)) (sin x))) (* (/ (sin (* x 0.5)) 3.0) (/ (sin (* 0.5 x)) (sin x))) (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin (* 0.5 x)) (sin x))) (* (/ 1 3.0) (/ (sin (* 0.5 x)) (sin x))) (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (sin (* 0.5 x))) (* (* 8.0 (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x))) (expm1 (/ (sin (* 0.5 x)) (sin x))) (log1p (/ (sin (* 0.5 x)) (sin x))) (- (log (sin (* 0.5 x))) (log (sin x))) (log (/ (sin (* 0.5 x)) (sin x))) (exp (/ (sin (* 0.5 x)) (sin x))) (/ (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x))) (* (* (sin x) (sin x)) (sin x))) (* (cbrt (/ (sin (* 0.5 x)) (sin x))) (cbrt (/ (sin (* 0.5 x)) (sin x)))) (cbrt (/ (sin (* 0.5 x)) (sin x))) (* (* (/ (sin (* 0.5 x)) (sin x)) (/ (sin (* 0.5 x)) (sin x))) (/ (sin (* 0.5 x)) (sin x))) (sqrt (/ (sin (* 0.5 x)) (sin x))) (sqrt (/ (sin (* 0.5 x)) (sin x))) (- (sin (* 0.5 x))) (- (sin x)) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt (sin (* 0.5 x))) (cbrt (sin x))) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (sqrt (sin x))) (/ (cbrt (sin (* 0.5 x))) (sqrt (sin x))) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) 1) (/ (cbrt (sin (* 0.5 x))) (sin x)) (/ (sqrt (sin (* 0.5 x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (sin (* 0.5 x))) (cbrt (sin x))) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x))) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x))) (/ (sqrt (sin (* 0.5 x))) 1) (/ (sqrt (sin (* 0.5 x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sin (* 0.5 x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (sin (* 0.5 x)) (sqrt (sin x))) (/ 1 1) (/ (sin (* 0.5 x)) (sin x)) (/ 1 (sin x)) (/ (sin x) (sin (* 0.5 x))) (/ (sin (* 0.5 x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sin (* 0.5 x)) (sqrt (sin x))) (/ (sin (* 0.5 x)) 1) (/ (sin x) (cbrt (sin (* 0.5 x)))) (/ (sin x) (sqrt (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 x))) (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0)) (log1p (/ (* 8.0 (sin (* x 0.5))) 3.0)) (- (+ (log 8.0) (log (sin (* x 0.5)))) (log 3.0)) (- (log (* 8.0 (sin (* x 0.5)))) (log 3.0)) (log (/ (* 8.0 (sin (* x 0.5))) 3.0)) (exp (/ (* 8.0 (sin (* x 0.5))) 3.0)) (/ (* (* (* 8.0 8.0) 8.0) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* 3.0 3.0) 3.0)) (/ (* (* (* 8.0 (sin (* x 0.5))) (* 8.0 (sin (* x 0.5)))) (* 8.0 (sin (* x 0.5)))) (* (* 3.0 3.0) 3.0)) (* (cbrt (/ (* 8.0 (sin (* x 0.5))) 3.0)) (cbrt (/ (* 8.0 (sin (* x 0.5))) 3.0))) (cbrt (/ (* 8.0 (sin (* x 0.5))) 3.0)) (* (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (* 8.0 (sin (* x 0.5))) 3.0)) (/ (* 8.0 (sin (* x 0.5))) 3.0)) (sqrt (/ (* 8.0 (sin (* x 0.5))) 3.0)) (sqrt (/ (* 8.0 (sin (* x 0.5))) 3.0)) (- (* 8.0 (sin (* x 0.5)))) (- 3.0) (/ 8.0 (* (cbrt 3.0) (cbrt 3.0))) (/ (sin (* x 0.5)) (cbrt 3.0)) (/ 8.0 (sqrt 3.0)) (/ (sin (* x 0.5)) (sqrt 3.0)) (/ 8.0 1) (/ (sin (* x 0.5)) 3.0) (/ 1 3.0) (/ 3.0 (* 8.0 (sin (* x 0.5)))) (/ (* 8.0 (sin (* x 0.5))) (* (cbrt 3.0) (cbrt 3.0))) (/ (* 8.0 (sin (* x 0.5))) (sqrt 3.0)) (/ (* 8.0 (sin (* x 0.5))) 1) (/ 3.0 (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))) (+ (* 0.0625 (pow x 2)) (+ (* 0.006510416666666666 (pow x 4)) 0.5)) (/ (sin (* 0.5 x)) (sin x)) (/ (sin (* 0.5 x)) (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))) 1.493 * * [simplify]: iteration 0 : 469 enodes (cost 1030 ) 1.504 * * [simplify]: iteration 1 : 2437 enodes (cost 847 ) 1.547 * * [simplify]: iteration 2 : 5001 enodes (cost 823 ) 1.551 * [simplify]: Simplified to: (expm1 (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin (* 0.5 x)) (sin x)))) (log1p (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin (* 0.5 x)) (sin x)))) (/ 8.0 (/ 3.0 (/ (pow (sin (* 0.5 x)) 2) (sin x)))) (- (log 8.0) (log (/ 3.0 (/ (pow (sin (* 0.5 x)) 2) (sin x))))) (- (log 8.0) (log (/ 3.0 (/ (pow (sin (* 0.5 x)) 2) (sin x))))) (- (log 8.0) (log (/ 3.0 (/ (pow (sin (* 0.5 x)) 2) (sin x))))) (- (log 8.0) (log (/ 3.0 (/ (pow (sin (* 0.5 x)) 2) (sin x))))) (- (log 8.0) (log (/ 3.0 (/ (pow (sin (* 0.5 x)) 2) (sin x))))) (- (log 8.0) (log (/ 3.0 (/ (pow (sin (* 0.5 x)) 2) (sin x))))) (- (log 8.0) (log (/ 3.0 (/ (pow (sin (* 0.5 x)) 2) (sin x))))) (pow (exp 1) (/ 8.0 (/ 3.0 (/ (pow (sin (* 0.5 x)) 2) (sin x))))) (pow (/ 8.0 (/ 3.0 (/ (pow (sin (* 0.5 x)) 2) (sin x)))) 3) (pow (/ 8.0 (/ 3.0 (/ (pow (sin (* 0.5 x)) 2) (sin x)))) 3) (pow (/ 8.0 (/ 3.0 (/ (pow (sin (* 0.5 x)) 2) (sin x)))) 3) (pow (/ 8.0 (/ 3.0 (/ (pow (sin (* 0.5 x)) 2) (sin x)))) 3) (pow (/ 8.0 (/ 3.0 (/ (pow (sin (* 0.5 x)) 2) (sin x)))) 3) (pow (/ 8.0 (/ 3.0 (/ (pow (sin (* 0.5 x)) 2) (sin x)))) 3) (* (cbrt (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin (* 0.5 x)) (sin x)))) (cbrt (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin (* 0.5 x)) (sin x))))) (cbrt (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin (* 0.5 x)) (sin x)))) (pow (/ 8.0 (/ 3.0 (/ (pow (sin (* 0.5 x)) 2) (sin x)))) 3) (sqrt (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin (* 0.5 x)) (sin x)))) (sqrt (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin (* 0.5 x)) (sin x)))) (* (pow (sin (* 0.5 x)) 2) 8.0) (* 3.0 (sin x)) (* (sqrt (/ (* 8.0 (sin (* x 0.5))) 3.0)) (sqrt (/ (sin (* 0.5 x)) (sin x)))) (* (sqrt (/ (* 8.0 (sin (* x 0.5))) 3.0)) (sqrt (/ (sin (* 0.5 x)) (sin x)))) (* (sqrt (/ (* 8.0 (sin (* x 0.5))) 3.0)) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x)))) (* (sqrt (/ (* 8.0 (sin (* x 0.5))) 3.0)) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x)))) (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (* (cbrt (/ (sin (* 0.5 x)) (sin x))) (cbrt (/ (sin (* 0.5 x)) (sin x))))) (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (sqrt (/ (sin (* 0.5 x)) (sin x)))) (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (* (cbrt (sin x)) (cbrt (sin x))))) (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (sqrt (sin x)))) (/ (* (* 8.0 (sin (* x 0.5))) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) 3.0) (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sqrt (sin (* 0.5 x))) (* (cbrt (sin x)) (cbrt (sin x))))) (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x)))) (/ (* (* 8.0 (sin (* x 0.5))) (sqrt (sin (* 0.5 x)))) 3.0) (/ (/ (* 8.0 (sin (* x 0.5))) 3.0) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (/ (* 8.0 (sin (* x 0.5))) 3.0) (sqrt (sin x))) (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ 8.0 (/ 3.0 (pow (sin (* 0.5 x)) 2))) (* (cbrt (/ (* 8.0 (sin (* x 0.5))) 3.0)) (/ (sin (* 0.5 x)) (sin x))) (* (sqrt (/ (* 8.0 (sin (* x 0.5))) 3.0)) (/ (sin (* 0.5 x)) (sin x))) (* (/ (sin (* x 0.5)) (cbrt 3.0)) (/ (sin (* 0.5 x)) (sin x))) (* (/ (sin (* x 0.5)) (sqrt 3.0)) (/ (sin (* 0.5 x)) (sin x))) (/ (/ (pow (sin (* 0.5 x)) 2) (sin x)) 3.0) (/ 8.0 (/ 3.0 (/ (pow (sin (* 0.5 x)) 2) (sin x)))) (* (/ 1 3.0) (/ (sin (* 0.5 x)) (sin x))) (/ 8.0 (/ 3.0 (pow (sin (* 0.5 x)) 2))) (/ 8.0 (/ (sin x) (pow (sin (* 0.5 x)) 2))) (expm1 (/ (sin (* 0.5 x)) (sin x))) (log1p (/ (sin (* 0.5 x)) (sin x))) (log (/ (sin (* 0.5 x)) (sin x))) (log (/ (sin (* 0.5 x)) (sin x))) (exp (/ (sin (* 0.5 x)) (sin x))) (pow (/ (sin (* 0.5 x)) (sin x)) 3) (* (cbrt (/ (sin (* 0.5 x)) (sin x))) (cbrt (/ (sin (* 0.5 x)) (sin x)))) (cbrt (/ (sin (* 0.5 x)) (sin x))) (pow (/ (sin (* 0.5 x)) (sin x)) 3) (sqrt (/ (sin (* 0.5 x)) (sin x))) (sqrt (/ (sin (* 0.5 x)) (sin x))) (- (sin (* x 0.5))) (- (sin x)) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt (sin (* 0.5 x))) (cbrt (sin x))) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (sqrt (sin x))) (/ (cbrt (sin (* 0.5 x))) (sqrt (sin x))) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (/ (cbrt (sin (* 0.5 x))) (sin x)) (/ (sqrt (sin (* 0.5 x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (sin (* 0.5 x))) (cbrt (sin x))) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x))) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x))) (sqrt (sin (* 0.5 x))) (/ (sqrt (sin (* 0.5 x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sin (* 0.5 x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (sin (* 0.5 x)) (sqrt (sin x))) 1 (/ (sin (* 0.5 x)) (sin x)) (/ 1 (sin x)) (/ (sin x) (sin (* 0.5 x))) (/ (sin (* 0.5 x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sin (* 0.5 x)) (sqrt (sin x))) (sin (* 0.5 x)) (/ (sin x) (cbrt (sin (* 0.5 x)))) (/ (sin x) (sqrt (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 x))) (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0)) (log1p (/ (* 8.0 (sin (* x 0.5))) 3.0)) (log (/ (* 8.0 (sin (* x 0.5))) 3.0)) (log (/ (* 8.0 (sin (* x 0.5))) 3.0)) (log (/ (* 8.0 (sin (* x 0.5))) 3.0)) (exp (/ (* 8.0 (sin (* x 0.5))) 3.0)) (pow (/ (* 8.0 (sin (* x 0.5))) 3.0) 3) (pow (/ (* 8.0 (sin (* x 0.5))) 3.0) 3) (* (cbrt (/ (* 8.0 (sin (* x 0.5))) 3.0)) (cbrt (/ (* 8.0 (sin (* x 0.5))) 3.0))) (cbrt (/ (* 8.0 (sin (* x 0.5))) 3.0)) (pow (/ (* 8.0 (sin (* x 0.5))) 3.0) 3) (sqrt (/ (* 8.0 (sin (* x 0.5))) 3.0)) (sqrt (/ (* 8.0 (sin (* x 0.5))) 3.0)) (- (* 8.0 (sin (* x 0.5)))) (- 3.0) (/ 8.0 (* (cbrt 3.0) (cbrt 3.0))) (/ (sin (* x 0.5)) (cbrt 3.0)) (/ 8.0 (sqrt 3.0)) (/ (sin (* x 0.5)) (sqrt 3.0)) 8.0 (/ (sin (* x 0.5)) 3.0) (/ 1 3.0) (/ 3.0 (* 8.0 (sin (* x 0.5)))) (/ (* 8.0 (sin (* x 0.5))) (* (cbrt 3.0) (cbrt 3.0))) (/ (* 8.0 (sin (* x 0.5))) (sqrt 3.0)) (* 8.0 (sin (* x 0.5))) (/ 3.0 (sin (* x 0.5))) (fma 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 0.0625 (pow x 2) (fma 0.006510416666666666 (pow x 4) 0.5)) (/ (sin (* 0.5 x)) (sin x)) (/ (sin (* 0.5 x)) (sin x)) (fma x 1.3333333333333333 (- (* 0.0006944444444444444 (pow x 5)) (* 0.05555555555555555 (pow x 3)))) (* 2.6666666666666665 (sin (* 0.5 x))) (* 2.6666666666666665 (sin (* 0.5 x))) 1.552 * * * [progress]: adding candidates to table 1.840 * * [progress]: iteration 4 / 4 1.840 * * * [progress]: picking best candidate 1.867 * * * * [pick]: Picked # 1.867 * * * [progress]: localizing error 1.886 * * * [progress]: generating rewritten candidates 1.886 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.886 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.894 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.898 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 1.900 * * * [progress]: generating series expansions 1.900 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.901 * [approximate]: Taking taylor expansion of (log1p (expm1 (* 2.6666666666666665 (sin (* 0.5 x))))) in (x) around 0 1.901 * [taylor]: Taking taylor expansion of (log1p (expm1 (* 2.6666666666666665 (sin (* 0.5 x))))) in x 1.901 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* 2.6666666666666665 (sin (* 0.5 x)))))) 1.901 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* 2.6666666666666665 (sin (* 0.5 x))))) in x 1.901 * [taylor]: Taking taylor expansion of 1 in x 1.901 * [taylor]: Taking taylor expansion of (expm1 (* 2.6666666666666665 (sin (* 0.5 x)))) in x 1.901 * [taylor]: Rewrote expression to (- (exp (* 2.6666666666666665 (sin (* 0.5 x)))) 1) 1.901 * [taylor]: Taking taylor expansion of (exp (* 2.6666666666666665 (sin (* 0.5 x)))) in x 1.901 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 1.901 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.901 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.901 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.901 * [taylor]: Taking taylor expansion of 0.5 in x 1.901 * [taylor]: Taking taylor expansion of x in x 1.905 * [taylor]: Taking taylor expansion of 1 in x 1.906 * [taylor]: Taking taylor expansion of (log1p (expm1 (* 2.6666666666666665 (sin (* 0.5 x))))) in x 1.907 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* 2.6666666666666665 (sin (* 0.5 x)))))) 1.907 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* 2.6666666666666665 (sin (* 0.5 x))))) in x 1.907 * [taylor]: Taking taylor expansion of 1 in x 1.907 * [taylor]: Taking taylor expansion of (expm1 (* 2.6666666666666665 (sin (* 0.5 x)))) in x 1.907 * [taylor]: Rewrote expression to (- (exp (* 2.6666666666666665 (sin (* 0.5 x)))) 1) 1.907 * [taylor]: Taking taylor expansion of (exp (* 2.6666666666666665 (sin (* 0.5 x)))) in x 1.907 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 1.907 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.907 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.907 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.907 * [taylor]: Taking taylor expansion of 0.5 in x 1.907 * [taylor]: Taking taylor expansion of x in x 1.911 * [taylor]: Taking taylor expansion of 1 in x 2.006 * [approximate]: Taking taylor expansion of (log1p (expm1 (* 2.6666666666666665 (sin (/ 0.5 x))))) in (x) around 0 2.006 * [taylor]: Taking taylor expansion of (log1p (expm1 (* 2.6666666666666665 (sin (/ 0.5 x))))) in x 2.006 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* 2.6666666666666665 (sin (/ 0.5 x)))))) 2.006 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* 2.6666666666666665 (sin (/ 0.5 x))))) in x 2.006 * [taylor]: Taking taylor expansion of 1 in x 2.006 * [taylor]: Taking taylor expansion of (expm1 (* 2.6666666666666665 (sin (/ 0.5 x)))) in x 2.006 * [taylor]: Rewrote expression to (- (exp (* 2.6666666666666665 (sin (/ 0.5 x)))) 1) 2.006 * [taylor]: Taking taylor expansion of (exp (* 2.6666666666666665 (sin (/ 0.5 x)))) in x 2.006 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 2.006 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 2.006 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.006 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.006 * [taylor]: Taking taylor expansion of 0.5 in x 2.006 * [taylor]: Taking taylor expansion of x in x 2.007 * [taylor]: Taking taylor expansion of 1 in x 2.008 * [taylor]: Taking taylor expansion of (log1p (expm1 (* 2.6666666666666665 (sin (/ 0.5 x))))) in x 2.008 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* 2.6666666666666665 (sin (/ 0.5 x)))))) 2.008 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* 2.6666666666666665 (sin (/ 0.5 x))))) in x 2.008 * [taylor]: Taking taylor expansion of 1 in x 2.008 * [taylor]: Taking taylor expansion of (expm1 (* 2.6666666666666665 (sin (/ 0.5 x)))) in x 2.008 * [taylor]: Rewrote expression to (- (exp (* 2.6666666666666665 (sin (/ 0.5 x)))) 1) 2.008 * [taylor]: Taking taylor expansion of (exp (* 2.6666666666666665 (sin (/ 0.5 x)))) in x 2.008 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 2.008 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 2.008 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.008 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.008 * [taylor]: Taking taylor expansion of 0.5 in x 2.008 * [taylor]: Taking taylor expansion of x in x 2.009 * [taylor]: Taking taylor expansion of 1 in x 2.054 * [approximate]: Taking taylor expansion of (log1p (expm1 (* 2.6666666666666665 (sin (/ -0.5 x))))) in (x) around 0 2.054 * [taylor]: Taking taylor expansion of (log1p (expm1 (* 2.6666666666666665 (sin (/ -0.5 x))))) in x 2.054 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* 2.6666666666666665 (sin (/ -0.5 x)))))) 2.054 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* 2.6666666666666665 (sin (/ -0.5 x))))) in x 2.054 * [taylor]: Taking taylor expansion of 1 in x 2.054 * [taylor]: Taking taylor expansion of (expm1 (* 2.6666666666666665 (sin (/ -0.5 x)))) in x 2.054 * [taylor]: Rewrote expression to (- (exp (* 2.6666666666666665 (sin (/ -0.5 x)))) 1) 2.054 * [taylor]: Taking taylor expansion of (exp (* 2.6666666666666665 (sin (/ -0.5 x)))) in x 2.054 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 2.054 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 2.054 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.054 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.054 * [taylor]: Taking taylor expansion of -0.5 in x 2.054 * [taylor]: Taking taylor expansion of x in x 2.055 * [taylor]: Taking taylor expansion of 1 in x 2.055 * [taylor]: Taking taylor expansion of (log1p (expm1 (* 2.6666666666666665 (sin (/ -0.5 x))))) in x 2.055 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* 2.6666666666666665 (sin (/ -0.5 x)))))) 2.055 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* 2.6666666666666665 (sin (/ -0.5 x))))) in x 2.055 * [taylor]: Taking taylor expansion of 1 in x 2.055 * [taylor]: Taking taylor expansion of (expm1 (* 2.6666666666666665 (sin (/ -0.5 x)))) in x 2.055 * [taylor]: Rewrote expression to (- (exp (* 2.6666666666666665 (sin (/ -0.5 x)))) 1) 2.055 * [taylor]: Taking taylor expansion of (exp (* 2.6666666666666665 (sin (/ -0.5 x)))) in x 2.055 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 2.056 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 2.056 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.056 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.056 * [taylor]: Taking taylor expansion of -0.5 in x 2.056 * [taylor]: Taking taylor expansion of x in x 2.056 * [taylor]: Taking taylor expansion of 1 in x 2.097 * * * * [progress]: [ 2 / 4 ] generating series at (2) 2.097 * [approximate]: Taking taylor expansion of (/ (* (sin (* 0.5 x)) (log1p (expm1 (* 2.6666666666666665 (sin (* 0.5 x)))))) (sin x)) in (x) around 0 2.097 * [taylor]: Taking taylor expansion of (/ (* (sin (* 0.5 x)) (log1p (expm1 (* 2.6666666666666665 (sin (* 0.5 x)))))) (sin x)) in x 2.097 * [taylor]: Taking taylor expansion of (* (sin (* 0.5 x)) (log1p (expm1 (* 2.6666666666666665 (sin (* 0.5 x)))))) in x 2.098 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 2.098 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 2.098 * [taylor]: Taking taylor expansion of 0.5 in x 2.098 * [taylor]: Taking taylor expansion of x in x 2.099 * [taylor]: Taking taylor expansion of (log1p (expm1 (* 2.6666666666666665 (sin (* 0.5 x))))) in x 2.099 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* 2.6666666666666665 (sin (* 0.5 x)))))) 2.099 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* 2.6666666666666665 (sin (* 0.5 x))))) in x 2.099 * [taylor]: Taking taylor expansion of 1 in x 2.099 * [taylor]: Taking taylor expansion of (expm1 (* 2.6666666666666665 (sin (* 0.5 x)))) in x 2.099 * [taylor]: Rewrote expression to (- (exp (* 2.6666666666666665 (sin (* 0.5 x)))) 1) 2.099 * [taylor]: Taking taylor expansion of (exp (* 2.6666666666666665 (sin (* 0.5 x)))) in x 2.099 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 2.099 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 2.099 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 2.099 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 2.099 * [taylor]: Taking taylor expansion of 0.5 in x 2.099 * [taylor]: Taking taylor expansion of x in x 2.103 * [taylor]: Taking taylor expansion of 1 in x 2.104 * [taylor]: Taking taylor expansion of (sin x) in x 2.104 * [taylor]: Taking taylor expansion of x in x 2.134 * [taylor]: Taking taylor expansion of (/ (* (sin (* 0.5 x)) (log1p (expm1 (* 2.6666666666666665 (sin (* 0.5 x)))))) (sin x)) in x 2.134 * [taylor]: Taking taylor expansion of (* (sin (* 0.5 x)) (log1p (expm1 (* 2.6666666666666665 (sin (* 0.5 x)))))) in x 2.134 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 2.134 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 2.134 * [taylor]: Taking taylor expansion of 0.5 in x 2.134 * [taylor]: Taking taylor expansion of x in x 2.135 * [taylor]: Taking taylor expansion of (log1p (expm1 (* 2.6666666666666665 (sin (* 0.5 x))))) in x 2.135 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* 2.6666666666666665 (sin (* 0.5 x)))))) 2.135 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* 2.6666666666666665 (sin (* 0.5 x))))) in x 2.135 * [taylor]: Taking taylor expansion of 1 in x 2.135 * [taylor]: Taking taylor expansion of (expm1 (* 2.6666666666666665 (sin (* 0.5 x)))) in x 2.135 * [taylor]: Rewrote expression to (- (exp (* 2.6666666666666665 (sin (* 0.5 x)))) 1) 2.135 * [taylor]: Taking taylor expansion of (exp (* 2.6666666666666665 (sin (* 0.5 x)))) in x 2.136 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 2.136 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 2.136 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 2.136 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 2.136 * [taylor]: Taking taylor expansion of 0.5 in x 2.136 * [taylor]: Taking taylor expansion of x in x 2.139 * [taylor]: Taking taylor expansion of 1 in x 2.141 * [taylor]: Taking taylor expansion of (sin x) in x 2.141 * [taylor]: Taking taylor expansion of x in x 2.338 * [approximate]: Taking taylor expansion of (/ (* (log1p (expm1 (* 2.6666666666666665 (sin (/ 0.5 x))))) (sin (/ 0.5 x))) (sin (/ 1 x))) in (x) around 0 2.338 * [taylor]: Taking taylor expansion of (/ (* (log1p (expm1 (* 2.6666666666666665 (sin (/ 0.5 x))))) (sin (/ 0.5 x))) (sin (/ 1 x))) in x 2.338 * [taylor]: Taking taylor expansion of (* (log1p (expm1 (* 2.6666666666666665 (sin (/ 0.5 x))))) (sin (/ 0.5 x))) in x 2.338 * [taylor]: Taking taylor expansion of (log1p (expm1 (* 2.6666666666666665 (sin (/ 0.5 x))))) in x 2.338 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* 2.6666666666666665 (sin (/ 0.5 x)))))) 2.338 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* 2.6666666666666665 (sin (/ 0.5 x))))) in x 2.338 * [taylor]: Taking taylor expansion of 1 in x 2.338 * [taylor]: Taking taylor expansion of (expm1 (* 2.6666666666666665 (sin (/ 0.5 x)))) in x 2.338 * [taylor]: Rewrote expression to (- (exp (* 2.6666666666666665 (sin (/ 0.5 x)))) 1) 2.338 * [taylor]: Taking taylor expansion of (exp (* 2.6666666666666665 (sin (/ 0.5 x)))) in x 2.338 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 2.338 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 2.338 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.338 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.338 * [taylor]: Taking taylor expansion of 0.5 in x 2.338 * [taylor]: Taking taylor expansion of x in x 2.339 * [taylor]: Taking taylor expansion of 1 in x 2.340 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.340 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.340 * [taylor]: Taking taylor expansion of 0.5 in x 2.340 * [taylor]: Taking taylor expansion of x in x 2.340 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.340 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.340 * [taylor]: Taking taylor expansion of x in x 2.341 * [taylor]: Taking taylor expansion of (/ (* (log1p (expm1 (* 2.6666666666666665 (sin (/ 0.5 x))))) (sin (/ 0.5 x))) (sin (/ 1 x))) in x 2.341 * [taylor]: Taking taylor expansion of (* (log1p (expm1 (* 2.6666666666666665 (sin (/ 0.5 x))))) (sin (/ 0.5 x))) in x 2.341 * [taylor]: Taking taylor expansion of (log1p (expm1 (* 2.6666666666666665 (sin (/ 0.5 x))))) in x 2.341 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* 2.6666666666666665 (sin (/ 0.5 x)))))) 2.341 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* 2.6666666666666665 (sin (/ 0.5 x))))) in x 2.341 * [taylor]: Taking taylor expansion of 1 in x 2.341 * [taylor]: Taking taylor expansion of (expm1 (* 2.6666666666666665 (sin (/ 0.5 x)))) in x 2.341 * [taylor]: Rewrote expression to (- (exp (* 2.6666666666666665 (sin (/ 0.5 x)))) 1) 2.341 * [taylor]: Taking taylor expansion of (exp (* 2.6666666666666665 (sin (/ 0.5 x)))) in x 2.341 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 2.341 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 2.341 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.341 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.341 * [taylor]: Taking taylor expansion of 0.5 in x 2.341 * [taylor]: Taking taylor expansion of x in x 2.342 * [taylor]: Taking taylor expansion of 1 in x 2.342 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.342 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.342 * [taylor]: Taking taylor expansion of 0.5 in x 2.342 * [taylor]: Taking taylor expansion of x in x 2.343 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.343 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.343 * [taylor]: Taking taylor expansion of x in x 2.394 * [approximate]: Taking taylor expansion of (/ (* (log1p (expm1 (* 2.6666666666666665 (sin (/ -0.5 x))))) (sin (/ -0.5 x))) (sin (/ -1 x))) in (x) around 0 2.394 * [taylor]: Taking taylor expansion of (/ (* (log1p (expm1 (* 2.6666666666666665 (sin (/ -0.5 x))))) (sin (/ -0.5 x))) (sin (/ -1 x))) in x 2.394 * [taylor]: Taking taylor expansion of (* (log1p (expm1 (* 2.6666666666666665 (sin (/ -0.5 x))))) (sin (/ -0.5 x))) in x 2.394 * [taylor]: Taking taylor expansion of (log1p (expm1 (* 2.6666666666666665 (sin (/ -0.5 x))))) in x 2.394 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* 2.6666666666666665 (sin (/ -0.5 x)))))) 2.394 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* 2.6666666666666665 (sin (/ -0.5 x))))) in x 2.395 * [taylor]: Taking taylor expansion of 1 in x 2.395 * [taylor]: Taking taylor expansion of (expm1 (* 2.6666666666666665 (sin (/ -0.5 x)))) in x 2.395 * [taylor]: Rewrote expression to (- (exp (* 2.6666666666666665 (sin (/ -0.5 x)))) 1) 2.395 * [taylor]: Taking taylor expansion of (exp (* 2.6666666666666665 (sin (/ -0.5 x)))) in x 2.395 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 2.395 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 2.395 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.395 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.395 * [taylor]: Taking taylor expansion of -0.5 in x 2.395 * [taylor]: Taking taylor expansion of x in x 2.395 * [taylor]: Taking taylor expansion of 1 in x 2.396 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.396 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.396 * [taylor]: Taking taylor expansion of -0.5 in x 2.396 * [taylor]: Taking taylor expansion of x in x 2.396 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.396 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.396 * [taylor]: Taking taylor expansion of -1 in x 2.396 * [taylor]: Taking taylor expansion of x in x 2.397 * [taylor]: Taking taylor expansion of (/ (* (log1p (expm1 (* 2.6666666666666665 (sin (/ -0.5 x))))) (sin (/ -0.5 x))) (sin (/ -1 x))) in x 2.397 * [taylor]: Taking taylor expansion of (* (log1p (expm1 (* 2.6666666666666665 (sin (/ -0.5 x))))) (sin (/ -0.5 x))) in x 2.397 * [taylor]: Taking taylor expansion of (log1p (expm1 (* 2.6666666666666665 (sin (/ -0.5 x))))) in x 2.397 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* 2.6666666666666665 (sin (/ -0.5 x)))))) 2.397 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* 2.6666666666666665 (sin (/ -0.5 x))))) in x 2.397 * [taylor]: Taking taylor expansion of 1 in x 2.397 * [taylor]: Taking taylor expansion of (expm1 (* 2.6666666666666665 (sin (/ -0.5 x)))) in x 2.397 * [taylor]: Rewrote expression to (- (exp (* 2.6666666666666665 (sin (/ -0.5 x)))) 1) 2.397 * [taylor]: Taking taylor expansion of (exp (* 2.6666666666666665 (sin (/ -0.5 x)))) in x 2.397 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 2.397 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 2.397 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.397 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.397 * [taylor]: Taking taylor expansion of -0.5 in x 2.397 * [taylor]: Taking taylor expansion of x in x 2.398 * [taylor]: Taking taylor expansion of 1 in x 2.399 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.399 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.399 * [taylor]: Taking taylor expansion of -0.5 in x 2.399 * [taylor]: Taking taylor expansion of x in x 2.399 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.399 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.399 * [taylor]: Taking taylor expansion of -1 in x 2.399 * [taylor]: Taking taylor expansion of x in x 2.451 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 2.451 * [approximate]: Taking taylor expansion of (/ (sin (* 0.5 x)) (sin x)) in (x) around 0 2.451 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 x)) (sin x)) in x 2.451 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 2.451 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 2.451 * [taylor]: Taking taylor expansion of 0.5 in x 2.451 * [taylor]: Taking taylor expansion of x in x 2.452 * [taylor]: Taking taylor expansion of (sin x) in x 2.452 * [taylor]: Taking taylor expansion of x in x 2.454 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 x)) (sin x)) in x 2.455 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 2.455 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 2.455 * [taylor]: Taking taylor expansion of 0.5 in x 2.455 * [taylor]: Taking taylor expansion of x in x 2.456 * [taylor]: Taking taylor expansion of (sin x) in x 2.456 * [taylor]: Taking taylor expansion of x in x 2.483 * [approximate]: Taking taylor expansion of (/ (sin (/ 0.5 x)) (sin (/ 1 x))) in (x) around 0 2.483 * [taylor]: Taking taylor expansion of (/ (sin (/ 0.5 x)) (sin (/ 1 x))) 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 x in x 2.484 * [taylor]: Taking taylor expansion of (/ (sin (/ 0.5 x)) (sin (/ 1 x))) 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 x in x 2.487 * [approximate]: Taking taylor expansion of (/ (sin (/ -0.5 x)) (sin (/ -1 x))) in (x) around 0 2.487 * [taylor]: Taking taylor expansion of (/ (sin (/ -0.5 x)) (sin (/ -1 x))) in x 2.487 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.487 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.487 * [taylor]: Taking taylor expansion of -0.5 in x 2.487 * [taylor]: Taking taylor expansion of x in x 2.487 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.487 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.487 * [taylor]: Taking taylor expansion of -1 in x 2.487 * [taylor]: Taking taylor expansion of x in x 2.488 * [taylor]: Taking taylor expansion of (/ (sin (/ -0.5 x)) (sin (/ -1 x))) in x 2.488 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.488 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.488 * [taylor]: Taking taylor expansion of -0.5 in x 2.488 * [taylor]: Taking taylor expansion of x in x 2.488 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.488 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.488 * [taylor]: Taking taylor expansion of -1 in x 2.488 * [taylor]: Taking taylor expansion of x in x 2.491 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 2.491 * [approximate]: Taking taylor expansion of (expm1 (* 2.6666666666666665 (sin (* 0.5 x)))) in (x) around 0 2.491 * [taylor]: Taking taylor expansion of (expm1 (* 2.6666666666666665 (sin (* 0.5 x)))) in x 2.491 * [taylor]: Rewrote expression to (- (exp (* 2.6666666666666665 (sin (* 0.5 x)))) 1) 2.491 * [taylor]: Taking taylor expansion of (exp (* 2.6666666666666665 (sin (* 0.5 x)))) in x 2.491 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 2.491 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 2.491 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 2.491 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 2.491 * [taylor]: Taking taylor expansion of 0.5 in x 2.491 * [taylor]: Taking taylor expansion of x in x 2.495 * [taylor]: Taking taylor expansion of 1 in x 2.495 * [taylor]: Taking taylor expansion of (expm1 (* 2.6666666666666665 (sin (* 0.5 x)))) in x 2.495 * [taylor]: Rewrote expression to (- (exp (* 2.6666666666666665 (sin (* 0.5 x)))) 1) 2.495 * [taylor]: Taking taylor expansion of (exp (* 2.6666666666666665 (sin (* 0.5 x)))) in x 2.495 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 2.495 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 2.495 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 2.495 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 2.495 * [taylor]: Taking taylor expansion of 0.5 in x 2.495 * [taylor]: Taking taylor expansion of x in x 2.499 * [taylor]: Taking taylor expansion of 1 in x 2.520 * [approximate]: Taking taylor expansion of (expm1 (* 2.6666666666666665 (sin (/ 0.5 x)))) in (x) around 0 2.520 * [taylor]: Taking taylor expansion of (expm1 (* 2.6666666666666665 (sin (/ 0.5 x)))) in x 2.520 * [taylor]: Rewrote expression to (- (exp (* 2.6666666666666665 (sin (/ 0.5 x)))) 1) 2.520 * [taylor]: Taking taylor expansion of (exp (* 2.6666666666666665 (sin (/ 0.5 x)))) in x 2.520 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 2.520 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 2.520 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.520 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.520 * [taylor]: Taking taylor expansion of 0.5 in x 2.520 * [taylor]: Taking taylor expansion of x in x 2.521 * [taylor]: Taking taylor expansion of 1 in x 2.521 * [taylor]: Taking taylor expansion of (expm1 (* 2.6666666666666665 (sin (/ 0.5 x)))) in x 2.521 * [taylor]: Rewrote expression to (- (exp (* 2.6666666666666665 (sin (/ 0.5 x)))) 1) 2.521 * [taylor]: Taking taylor expansion of (exp (* 2.6666666666666665 (sin (/ 0.5 x)))) in x 2.521 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 2.521 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 2.521 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.521 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.521 * [taylor]: Taking taylor expansion of 0.5 in x 2.521 * [taylor]: Taking taylor expansion of x in x 2.522 * [taylor]: Taking taylor expansion of 1 in x 2.543 * [approximate]: Taking taylor expansion of (expm1 (* 2.6666666666666665 (sin (/ -0.5 x)))) in (x) around 0 2.543 * [taylor]: Taking taylor expansion of (expm1 (* 2.6666666666666665 (sin (/ -0.5 x)))) in x 2.543 * [taylor]: Rewrote expression to (- (exp (* 2.6666666666666665 (sin (/ -0.5 x)))) 1) 2.543 * [taylor]: Taking taylor expansion of (exp (* 2.6666666666666665 (sin (/ -0.5 x)))) in x 2.544 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 2.544 * [taylor]: Taking taylor expansion of 2.6666666666666665 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 1 in x 2.544 * [taylor]: Taking taylor expansion of (expm1 (* 2.6666666666666665 (sin (/ -0.5 x)))) in x 2.544 * [taylor]: Rewrote expression to (- (exp (* 2.6666666666666665 (sin (/ -0.5 x)))) 1) 2.544 * [taylor]: Taking taylor expansion of (exp (* 2.6666666666666665 (sin (/ -0.5 x)))) in x 2.544 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 2.544 * [taylor]: Taking taylor expansion of 2.6666666666666665 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 2.545 * [taylor]: Taking taylor expansion of -0.5 in x 2.545 * [taylor]: Taking taylor expansion of x in x 2.545 * [taylor]: Taking taylor expansion of 1 in x 2.563 * * * [progress]: simplifying candidates 2.564 * [simplify]: Simplifying using # : (+ 1 (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0))) (expm1 (log1p (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0)))) (log1p (log1p (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0)))) (log (log1p (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0)))) (exp (log1p (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0)))) (* (cbrt (log1p (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0)))) (cbrt (log1p (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0))))) (cbrt (log1p (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0)))) (* (* (log1p (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0))) (log1p (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0)))) (log1p (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0)))) (sqrt (log1p (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0)))) (sqrt (log1p (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0)))) (expm1 (* (log1p (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0))) (/ (sin (* 0.5 x)) (sin x)))) (log1p (* (log1p (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0))) (/ (sin (* 0.5 x)) (sin x)))) (* (log1p (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0))) (/ (sin (* 0.5 x)) (sin x))) (+ (log (log1p (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0)))) (- (log (sin (* 0.5 x))) (log (sin x)))) (+ (log (log1p (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0)))) (log (/ (sin (* 0.5 x)) (sin x)))) (log (* (log1p (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0))) (/ (sin (* 0.5 x)) (sin x)))) (exp (* (log1p (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0))) (/ (sin (* 0.5 x)) (sin x)))) (* (* (* (log1p (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0))) (log1p (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0)))) (log1p (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0)))) (/ (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x))) (* (* (sin x) (sin x)) (sin x)))) (* (* (* (log1p (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0))) (log1p (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0)))) (log1p (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0)))) (* (* (/ (sin (* 0.5 x)) (sin x)) (/ (sin (* 0.5 x)) (sin x))) (/ (sin (* 0.5 x)) (sin x)))) (* (cbrt (* (log1p (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0))) (/ (sin (* 0.5 x)) (sin x)))) (cbrt (* (log1p (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0))) (/ (sin (* 0.5 x)) (sin x))))) (cbrt (* (log1p (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0))) (/ (sin (* 0.5 x)) (sin x)))) (* (* (* (log1p (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0))) (/ (sin (* 0.5 x)) (sin x))) (* (log1p (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0))) (/ (sin (* 0.5 x)) (sin x)))) (* (log1p (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0))) (/ (sin (* 0.5 x)) (sin x)))) (sqrt (* (log1p (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0))) (/ (sin (* 0.5 x)) (sin x)))) (sqrt (* (log1p (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0))) (/ (sin (* 0.5 x)) (sin x)))) (* (sqrt (log1p (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0)))) (sqrt (/ (sin (* 0.5 x)) (sin x)))) (* (sqrt (log1p (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0)))) (sqrt (/ (sin (* 0.5 x)) (sin x)))) (* (sqrt (log1p (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0)))) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x)))) (* (sqrt (log1p (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0)))) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x)))) (* (log1p (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0))) (* (cbrt (/ (sin (* 0.5 x)) (sin x))) (cbrt (/ (sin (* 0.5 x)) (sin x))))) (* (log1p (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0))) (sqrt (/ (sin (* 0.5 x)) (sin x)))) (* (log1p (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0))) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (* (cbrt (sin x)) (cbrt (sin x))))) (* (log1p (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0))) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (sqrt (sin x)))) (* (log1p (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0))) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) 1)) (* (log1p (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0))) (/ (sqrt (sin (* 0.5 x))) (* (cbrt (sin x)) (cbrt (sin x))))) (* (log1p (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0))) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x)))) (* (log1p (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0))) (/ (sqrt (sin (* 0.5 x))) 1)) (* (log1p (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0))) (/ 1 (* (cbrt (sin x)) (cbrt (sin x))))) (* (log1p (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0))) (/ 1 (sqrt (sin x)))) (* (log1p (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0))) (/ 1 1)) (* (log1p (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0))) 1) (* (log1p (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0))) (sin (* 0.5 x))) (* (cbrt (log1p (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0)))) (/ (sin (* 0.5 x)) (sin x))) (* (sqrt (log1p (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0)))) (/ (sin (* 0.5 x)) (sin x))) (* (log1p (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0))) (/ (sin (* 0.5 x)) (sin x))) (* (log1p (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0))) (sin (* 0.5 x))) (expm1 (/ (sin (* 0.5 x)) (sin x))) (log1p (/ (sin (* 0.5 x)) (sin x))) (- (log (sin (* 0.5 x))) (log (sin x))) (log (/ (sin (* 0.5 x)) (sin x))) (exp (/ (sin (* 0.5 x)) (sin x))) (/ (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x))) (* (* (sin x) (sin x)) (sin x))) (* (cbrt (/ (sin (* 0.5 x)) (sin x))) (cbrt (/ (sin (* 0.5 x)) (sin x)))) (cbrt (/ (sin (* 0.5 x)) (sin x))) (* (* (/ (sin (* 0.5 x)) (sin x)) (/ (sin (* 0.5 x)) (sin x))) (/ (sin (* 0.5 x)) (sin x))) (sqrt (/ (sin (* 0.5 x)) (sin x))) (sqrt (/ (sin (* 0.5 x)) (sin x))) (- (sin (* 0.5 x))) (- (sin x)) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt (sin (* 0.5 x))) (cbrt (sin x))) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (sqrt (sin x))) (/ (cbrt (sin (* 0.5 x))) (sqrt (sin x))) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) 1) (/ (cbrt (sin (* 0.5 x))) (sin x)) (/ (sqrt (sin (* 0.5 x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (sin (* 0.5 x))) (cbrt (sin x))) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x))) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x))) (/ (sqrt (sin (* 0.5 x))) 1) (/ (sqrt (sin (* 0.5 x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sin (* 0.5 x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (sin (* 0.5 x)) (sqrt (sin x))) (/ 1 1) (/ (sin (* 0.5 x)) (sin x)) (/ 1 (sin x)) (/ (sin x) (sin (* 0.5 x))) (/ (sin (* 0.5 x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sin (* 0.5 x)) (sqrt (sin x))) (/ (sin (* 0.5 x)) 1) (/ (sin x) (cbrt (sin (* 0.5 x)))) (/ (sin x) (sqrt (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 x))) (exp (/ (* 8.0 (sin (* x 0.5))) 3.0)) (expm1 (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0))) (log1p (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0))) (log (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0))) (exp (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0))) (* (cbrt (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0))) (cbrt (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0)))) (cbrt (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0))) (* (* (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0)) (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0))) (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0))) (sqrt (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0))) (sqrt (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0))) (- (+ (* 1.3333333333333333 x) (* 2.7755575615628914e-17 (pow x 4))) (* 0.05555555555555558 (pow x 3))) (* 2.6666666666666665 (sin (* 0.5 x))) (* 2.6666666666666665 (sin (* 0.5 x))) (+ (* 0.05555555555555554 (pow x 3)) (+ (* 1.3877787807814457e-17 (pow x 4)) (* 0.6666666666666666 x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (+ (* 0.0625 (pow x 2)) (+ (* 0.006510416666666666 (pow x 4)) 0.5)) (/ (sin (* 0.5 x)) (sin x)) (/ (sin (* 0.5 x)) (sin x)) (+ (* 0.8888888888888888 (pow x 2)) (+ (* 0.3395061728395061 (pow x 3)) (* 1.3333333333333333 x))) (- (exp (* 2.6666666666666665 (sin (* 0.5 x)))) 1) (- (exp (* 2.6666666666666665 (sin (* 0.5 x)))) 1) 2.571 * * [simplify]: iteration 0 : 310 enodes (cost 903 ) 2.578 * * [simplify]: iteration 1 : 1238 enodes (cost 791 ) 2.610 * * [simplify]: iteration 2 : 5002 enodes (cost 783 ) 2.614 * [simplify]: Simplified to: (+ 1 (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0))) (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0)) (log1p (log1p (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0)))) (- (log (* 8.0 (sin (* x 0.5)))) (log 3.0)) (exp (/ (* 8.0 (sin (* x 0.5))) 3.0)) (* (cbrt (log1p 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(sin (* 0.5 x))) (sqrt (sin x))) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x))) (sqrt (sin (* 0.5 x))) (/ (sqrt (sin (* 0.5 x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sin (* 0.5 x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (sin (* 0.5 x)) (sqrt (sin x))) 1 (/ (sin (* 0.5 x)) (sin x)) (/ 1 (sin x)) (/ (sin x) (sin (* 0.5 x))) (/ (sin (* 0.5 x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sin (* 0.5 x)) (sqrt (sin x))) (sin (* 0.5 x)) (/ (sin x) (cbrt (sin (* 0.5 x)))) (/ (sin x) (sqrt (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 x))) (exp (/ (* 8.0 (sin (* x 0.5))) 3.0)) (expm1 (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0))) (/ (* 8.0 (sin (* x 0.5))) 3.0) (log (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0))) (exp (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0))) (* (cbrt (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0))) (cbrt (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0)))) (cbrt (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0))) (pow (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0)) 3) (sqrt (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0))) (sqrt (expm1 (/ (* 8.0 (sin (* x 0.5))) 3.0))) (fma x 1.3333333333333333 (- (* 2.7755575615628914e-17 (pow x 4)) (* 0.05555555555555558 (pow x 3)))) (* 2.6666666666666665 (sin (* 0.5 x))) (* 2.6666666666666665 (sin (* 0.5 x))) (fma 0.05555555555555554 (pow x 3) (fma 1.3877787807814457e-17 (pow x 4) (* 0.6666666666666666 x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (fma 0.0625 (pow x 2) (fma 0.006510416666666666 (pow x 4) 0.5)) (/ (sin (* 0.5 x)) (sin x)) (/ (sin (* 0.5 x)) (sin x)) (fma 0.8888888888888888 (pow x 2) (fma 0.3395061728395061 (pow x 3) (* 1.3333333333333333 x))) (expm1 (* 2.6666666666666665 (sin (* 0.5 x)))) (expm1 (* 2.6666666666666665 (sin (* 0.5 x)))) 2.615 * * * [progress]: adding candidates to table 2.933 * [progress]: [Phase 3 of 3] Extracting. 2.933 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 2.935 * * * [regime-changes]: Trying 1 branch expressions: (x) 2.935 * * * * [regimes]: Trying to branch on x from (# # # # # # # # #) 2.972 * * * [regime]: Found split indices: #