13.211 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.056 * * * [progress]: [2/2] Setting up program. 0.058 * [progress]: [Phase 2 of 3] Improving. 0.059 * [simplify]: Simplifying using # : (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x)) 0.062 * * [simplify]: iteration 0 : 20 enodes (cost 9 ) 0.064 * * [simplify]: iteration 1 : 43 enodes (cost 9 ) 0.067 * * [simplify]: iteration 2 : 93 enodes (cost 9 ) 0.070 * * [simplify]: iteration 3 : 174 enodes (cost 9 ) 0.074 * * [simplify]: iteration 4 : 269 enodes (cost 9 ) 0.078 * * [simplify]: iteration 5 : 288 enodes (cost 9 ) 0.083 * * [simplify]: iteration 6 : 288 enodes (cost 9 ) 0.083 * [simplify]: Simplified to: (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x)) 0.083 * * [progress]: iteration 1 / 4 0.083 * * * [progress]: picking best candidate 0.086 * * * * [pick]: Picked # 0.086 * * * [progress]: localizing error 0.098 * * * [progress]: generating rewritten candidates 0.098 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.110 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.118 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.131 * * * [progress]: generating series expansions 0.131 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.132 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in (x) around 0 0.132 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.132 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.132 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 0.132 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.132 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.132 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.132 * [taylor]: Taking taylor expansion of 0.5 in x 0.132 * [taylor]: Taking taylor expansion of x in x 0.142 * [taylor]: Taking taylor expansion of (sin x) in x 0.142 * [taylor]: Taking taylor expansion of x in x 0.143 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.143 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.143 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 0.143 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.143 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.143 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.143 * [taylor]: Taking taylor expansion of 0.5 in x 0.143 * [taylor]: Taking taylor expansion of x in x 0.146 * [taylor]: Taking taylor expansion of (sin x) in x 0.146 * [taylor]: Taking taylor expansion of x in x 0.190 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in (x) around 0 0.190 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 0.190 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.190 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 0.190 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.190 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.190 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.190 * [taylor]: Taking taylor expansion of 0.5 in x 0.190 * [taylor]: Taking taylor expansion of x in x 0.191 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.191 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.191 * [taylor]: Taking taylor expansion of x in x 0.191 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 0.191 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.191 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 0.192 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.192 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.192 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.192 * [taylor]: Taking taylor expansion of 0.5 in x 0.192 * [taylor]: Taking taylor expansion of x in x 0.192 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.192 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.192 * [taylor]: Taking taylor expansion of x in x 0.209 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in (x) around 0 0.209 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.209 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.209 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 0.209 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.209 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.209 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.209 * [taylor]: Taking taylor expansion of -0.5 in x 0.209 * [taylor]: Taking taylor expansion of x in x 0.210 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.210 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.210 * [taylor]: Taking taylor expansion of -1 in x 0.210 * [taylor]: Taking taylor expansion of x in x 0.211 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.211 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.211 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 0.211 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.211 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.211 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.211 * [taylor]: Taking taylor expansion of -0.5 in x 0.211 * [taylor]: Taking taylor expansion of x in x 0.212 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.212 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.212 * [taylor]: Taking taylor expansion of -1 in x 0.212 * [taylor]: Taking taylor expansion of x in x 0.240 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.241 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in (x) around 0 0.241 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 0.241 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.241 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.242 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.242 * [taylor]: Taking taylor expansion of 0.5 in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.244 * [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 0.278 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in (x) around 0 0.278 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 0.278 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.278 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.278 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.278 * [taylor]: Taking taylor expansion of 0.5 in x 0.278 * [taylor]: Taking taylor expansion of x in x 0.279 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 0.279 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.279 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.279 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.279 * [taylor]: Taking taylor expansion of 0.5 in x 0.279 * [taylor]: Taking taylor expansion of x in x 0.286 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in (x) around 0 0.286 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 0.286 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.286 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.286 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.286 * [taylor]: Taking taylor expansion of -0.5 in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.286 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 0.286 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.286 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.286 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.286 * [taylor]: Taking taylor expansion of -0.5 in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.293 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.294 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (* 0.5 x)) 2)) in (x) around 0 0.294 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (* 0.5 x)) 2)) in x 0.294 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.294 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.294 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.294 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.294 * [taylor]: Taking taylor expansion of 0.5 in x 0.294 * [taylor]: Taking taylor expansion of x in x 0.297 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (* 0.5 x)) 2)) in x 0.297 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.297 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.297 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.297 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.297 * [taylor]: Taking taylor expansion of 0.5 in x 0.297 * [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 0.330 * [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 0.343 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ -0.5 x)) 2)) in (x) around 0 0.343 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ -0.5 x)) 2)) in x 0.343 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.343 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.343 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.343 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.343 * [taylor]: Taking taylor expansion of -0.5 in x 0.343 * [taylor]: Taking taylor expansion of x in x 0.343 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ -0.5 x)) 2)) in x 0.343 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.343 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.343 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.343 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.343 * [taylor]: Taking taylor expansion of -0.5 in x 0.343 * [taylor]: Taking taylor expansion of x in x 0.363 * * * [progress]: simplifying candidates 0.364 * [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)) 0.372 * * [simplify]: iteration 0 : 412 enodes (cost 862 ) 0.385 * * [simplify]: iteration 1 : 2127 enodes (cost 656 ) 0.448 * * [simplify]: iteration 2 : 5001 enodes (cost 637 ) 0.455 * [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)) 0.456 * * * [progress]: adding candidates to table 0.722 * * [progress]: iteration 2 / 4 0.722 * * * [progress]: picking best candidate 0.785 * * * * [pick]: Picked # 0.785 * * * [progress]: localizing error 0.811 * * * [progress]: generating rewritten candidates 0.811 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.819 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.831 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.840 * * * [progress]: generating series expansions 0.840 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.841 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in (x) around 0 0.841 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 0.841 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.841 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.841 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.841 * [taylor]: Taking taylor expansion of 0.5 in x 0.841 * [taylor]: Taking taylor expansion of x in x 0.842 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 0.843 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.843 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.843 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.843 * [taylor]: Taking taylor expansion of 0.5 in x 0.843 * [taylor]: Taking taylor expansion of x in x 0.868 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in (x) around 0 0.868 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 0.868 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.868 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.868 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.868 * [taylor]: Taking taylor expansion of 0.5 in x 0.868 * [taylor]: Taking taylor expansion of x in x 0.869 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 0.869 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.869 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.869 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.869 * [taylor]: Taking taylor expansion of 0.5 in x 0.869 * [taylor]: Taking taylor expansion of x in x 0.876 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in (x) around 0 0.876 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 0.876 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.876 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.876 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.876 * [taylor]: Taking taylor expansion of -0.5 in x 0.876 * [taylor]: Taking taylor expansion of x in x 0.877 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 0.877 * [taylor]: Taking taylor expansion of 2.6666666666666665 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 0.884 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.884 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in (x) around 0 0.885 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.885 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.885 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 0.885 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.885 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.885 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.885 * [taylor]: Taking taylor expansion of 0.5 in x 0.885 * [taylor]: Taking taylor expansion of x in x 0.893 * [taylor]: Taking taylor expansion of (sin x) in x 0.894 * [taylor]: Taking taylor expansion of x in x 0.895 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.895 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.895 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 0.895 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.895 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.895 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.895 * [taylor]: Taking taylor expansion of 0.5 in x 0.895 * [taylor]: Taking taylor expansion of x in x 0.898 * [taylor]: Taking taylor expansion of (sin x) in x 0.898 * [taylor]: Taking taylor expansion of x in x 0.943 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in (x) around 0 0.943 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 0.943 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.943 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 0.943 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.943 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.943 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.943 * [taylor]: Taking taylor expansion of 0.5 in x 0.943 * [taylor]: Taking taylor expansion of x in x 0.944 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.944 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.944 * [taylor]: Taking taylor expansion of x in x 0.945 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 0.945 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.945 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 0.945 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.945 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.945 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.945 * [taylor]: Taking taylor expansion of 0.5 in x 0.945 * [taylor]: Taking taylor expansion of x in x 0.945 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.945 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.945 * [taylor]: Taking taylor expansion of x in x 0.962 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in (x) around 0 0.962 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.962 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.962 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 0.962 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.962 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.962 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.962 * [taylor]: Taking taylor expansion of -0.5 in x 0.962 * [taylor]: Taking taylor expansion of x in x 0.963 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.963 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.963 * [taylor]: Taking taylor expansion of -1 in x 0.963 * [taylor]: Taking taylor expansion of x in x 0.963 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.963 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.963 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 0.963 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.963 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.964 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.964 * [taylor]: Taking taylor expansion of -0.5 in x 0.964 * [taylor]: Taking taylor expansion of x in x 0.964 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.964 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.964 * [taylor]: Taking taylor expansion of -1 in x 0.964 * [taylor]: Taking taylor expansion of x in x 0.981 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.981 * [approximate]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in (x) around 0 0.981 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 0.981 * [taylor]: Taking taylor expansion of (sin x) in x 0.981 * [taylor]: Taking taylor expansion of x in x 0.981 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.981 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.981 * [taylor]: Taking taylor expansion of 0.5 in x 0.981 * [taylor]: Taking taylor expansion of x in x 0.985 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 0.986 * [taylor]: Taking taylor expansion of (sin x) in x 0.986 * [taylor]: Taking taylor expansion of x in x 0.986 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.986 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.986 * [taylor]: Taking taylor expansion of 0.5 in x 0.986 * [taylor]: Taking taylor expansion of x in x 1.028 * [approximate]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in (x) around 0 1.028 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 1.028 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.028 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.028 * [taylor]: Taking taylor expansion of x in x 1.029 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.029 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.029 * [taylor]: Taking taylor expansion of 0.5 in x 1.029 * [taylor]: Taking taylor expansion of x in x 1.029 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 1.029 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.029 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.029 * [taylor]: Taking taylor expansion of x in x 1.030 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.030 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.030 * [taylor]: Taking taylor expansion of 0.5 in x 1.030 * [taylor]: Taking taylor expansion of x in x 1.033 * [approximate]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in (x) around 0 1.033 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 1.033 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.033 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.033 * [taylor]: Taking taylor expansion of -1 in x 1.033 * [taylor]: Taking taylor expansion of x in x 1.034 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.034 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.034 * [taylor]: Taking taylor expansion of -0.5 in x 1.034 * [taylor]: Taking taylor expansion of x in x 1.034 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 1.034 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.034 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.034 * [taylor]: Taking taylor expansion of -1 in x 1.034 * [taylor]: Taking taylor expansion of x in x 1.035 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.035 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.035 * [taylor]: Taking taylor expansion of -0.5 in x 1.035 * [taylor]: Taking taylor expansion of x in x 1.038 * * * [progress]: simplifying candidates 1.040 * [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 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(/ (sin x) (sin (* 0.5 x))) (/ 1 (sin (* 0.5 x))) (/ (sin (* 0.5 x)) (sin x)) (/ (sin x) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (sin x) (sqrt (sin (* 0.5 x)))) (/ (sin x) 1) (/ (sin (* 0.5 x)) (cbrt (sin x))) (/ (sin (* 0.5 x)) (sqrt (sin x))) (/ (sin (* 0.5 x)) (sin x)) (- (+ (* 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))) (- (+ (* 0.005208333333333334 (pow x 4)) 2.0) (* 0.25 (pow x 2))) (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x))) 1.050 * * [simplify]: iteration 0 : 550 enodes (cost 1204 ) 1.065 * * [simplify]: iteration 1 : 2727 enodes (cost 1016 ) 1.115 * * [simplify]: iteration 2 : 5001 enodes (cost 992 ) 1.121 * 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x))))) (/ (cbrt (sin x)) (cbrt (sin (* 0.5 x)))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (sin (* 0.5 x)))) (/ (cbrt (sin x)) (sqrt (sin (* 0.5 x)))) (* (cbrt (sin x)) (cbrt (sin x))) (/ (cbrt (sin x)) (sin (* 0.5 x))) (/ (sqrt (sin x)) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (sqrt (sin x)) (cbrt (sin (* 0.5 x)))) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (sqrt (sin x)) (/ (sqrt (sin x)) (sin (* x 0.5))) (/ 1 (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (sin x) (cbrt (sin (* 0.5 x)))) (/ 1 (sqrt (sin (* 0.5 x)))) (/ (sin x) (sqrt (sin (* 0.5 x)))) 1 (/ (sin x) (sin (* x 0.5))) (/ 1 (sin (* x 0.5))) (/ (sin (* x 0.5)) (sin x)) (/ (sin x) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (sin x) (sqrt (sin (* 0.5 x)))) (sin x) (/ (sin (* x 0.5)) (cbrt (sin x))) (/ (sin (* x 0.5)) (sqrt (sin x))) (/ (sin (* x 0.5)) (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 0.05555555555555555 (pow x 3) (fma 0.005555555555555554 (pow x 5) (* 0.6666666666666666 x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (fma (pow x 4) 0.005208333333333334 (- 2.0 (* 0.25 (pow x 2)))) (/ (sin x) (sin (* x 0.5))) (/ (sin x) (sin (* x 0.5))) 1.122 * * * [progress]: adding candidates to table 1.744 * * [progress]: iteration 3 / 4 1.744 * * * [progress]: picking best candidate 1.772 * * * * [pick]: Picked # 1.773 * * * [progress]: localizing error 1.789 * * * [progress]: generating rewritten candidates 1.789 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 1.800 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 1.805 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 1.816 * * * [progress]: generating series expansions 1.816 * * * * [progress]: [ 1 / 3 ] generating series at (2) 1.817 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in (x) around 0 1.817 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 1.817 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.817 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 1.817 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 1.817 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.817 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.817 * [taylor]: Taking taylor expansion of 0.5 in x 1.817 * [taylor]: Taking taylor expansion of x in x 1.820 * [taylor]: Taking taylor expansion of (sin x) in x 1.821 * [taylor]: Taking taylor expansion of x in x 1.822 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 1.822 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.822 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 1.822 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 1.822 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.822 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.822 * [taylor]: Taking taylor expansion of 0.5 in x 1.822 * [taylor]: Taking taylor expansion of x in x 1.826 * [taylor]: Taking taylor expansion of (sin x) in x 1.826 * [taylor]: Taking taylor expansion of x in x 1.874 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in (x) around 0 1.875 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 1.875 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.875 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 1.875 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 1.875 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.875 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.875 * [taylor]: Taking taylor expansion of 0.5 in x 1.875 * [taylor]: Taking taylor expansion of x in x 1.876 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.876 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.876 * [taylor]: Taking taylor expansion of x in x 1.876 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 1.876 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.876 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 1.877 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 1.877 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.877 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.877 * [taylor]: Taking taylor expansion of 0.5 in x 1.877 * [taylor]: Taking taylor expansion of x in x 1.877 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.877 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.877 * [taylor]: Taking taylor expansion of x in x 1.896 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in (x) around 0 1.896 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 1.896 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.896 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 1.896 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 1.896 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.896 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.896 * [taylor]: Taking taylor expansion of -0.5 in x 1.896 * [taylor]: Taking taylor expansion of x in x 1.897 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.897 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.897 * [taylor]: Taking taylor expansion of -1 in x 1.897 * [taylor]: Taking taylor expansion of x in x 1.898 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 1.898 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.898 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 1.898 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 1.898 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.898 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.898 * [taylor]: Taking taylor expansion of -0.5 in x 1.898 * [taylor]: Taking taylor expansion of x in x 1.898 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.898 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.898 * [taylor]: Taking taylor expansion of -1 in x 1.898 * [taylor]: Taking taylor expansion of x in x 1.915 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 1.915 * [approximate]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in (x) around 0 1.915 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 1.915 * [taylor]: Taking taylor expansion of (sin x) in x 1.915 * [taylor]: Taking taylor expansion of x in x 1.915 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.915 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.915 * [taylor]: Taking taylor expansion of 0.5 in x 1.915 * [taylor]: Taking taylor expansion of x in x 1.920 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 1.920 * [taylor]: Taking taylor expansion of (sin x) in x 1.920 * [taylor]: Taking taylor expansion of x in x 1.920 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.920 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.920 * [taylor]: Taking taylor expansion of 0.5 in x 1.920 * [taylor]: Taking taylor expansion of x in x 1.954 * [approximate]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in (x) around 0 1.954 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 1.954 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.954 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.954 * [taylor]: Taking taylor expansion of x in x 1.955 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.955 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.955 * [taylor]: Taking taylor expansion of 0.5 in x 1.955 * [taylor]: Taking taylor expansion of x in x 1.956 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 1.956 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.956 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.956 * [taylor]: Taking taylor expansion of x in x 1.956 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.956 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.956 * [taylor]: Taking taylor expansion of 0.5 in x 1.956 * [taylor]: Taking taylor expansion of x in x 1.959 * [approximate]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in (x) around 0 1.959 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 1.959 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.959 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.959 * [taylor]: Taking taylor expansion of -1 in x 1.959 * [taylor]: Taking taylor expansion of x in x 1.959 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.959 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.959 * [taylor]: Taking taylor expansion of -0.5 in x 1.959 * [taylor]: Taking taylor expansion of x in x 1.960 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 1.960 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.960 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.960 * [taylor]: Taking taylor expansion of -1 in x 1.960 * [taylor]: Taking taylor expansion of x in x 1.961 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.961 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.961 * [taylor]: Taking taylor expansion of -0.5 in x 1.961 * [taylor]: Taking taylor expansion of x in x 1.966 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 1.967 * [approximate]: Taking taylor expansion of (* 3.0 (/ (sin x) (sin (* 0.5 x)))) in (x) around 0 1.967 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sin x) (sin (* 0.5 x)))) in x 1.967 * [taylor]: Taking taylor expansion of 3.0 in x 1.967 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 1.967 * [taylor]: Taking taylor expansion of (sin x) in x 1.967 * [taylor]: Taking taylor expansion of x in x 1.967 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.967 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.967 * [taylor]: Taking taylor expansion of 0.5 in x 1.967 * [taylor]: Taking taylor expansion of x in x 1.971 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sin x) (sin (* 0.5 x)))) in x 1.971 * [taylor]: Taking taylor expansion of 3.0 in x 1.971 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 1.971 * [taylor]: Taking taylor expansion of (sin x) in x 1.971 * [taylor]: Taking taylor expansion of x in x 1.971 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.971 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.971 * [taylor]: Taking taylor expansion of 0.5 in x 1.971 * [taylor]: Taking taylor expansion of x in x 2.010 * [approximate]: Taking taylor expansion of (* 3.0 (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) in (x) around 0 2.010 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) in x 2.010 * [taylor]: Taking taylor expansion of 3.0 in x 2.010 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 2.010 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.010 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.010 * [taylor]: Taking taylor expansion of x in x 2.011 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.011 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.011 * [taylor]: Taking taylor expansion of 0.5 in x 2.011 * [taylor]: Taking taylor expansion of x in x 2.011 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) in x 2.011 * [taylor]: Taking taylor expansion of 3.0 in x 2.011 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 2.011 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.011 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.011 * [taylor]: Taking taylor expansion of x in x 2.012 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.012 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.012 * [taylor]: Taking taylor expansion of 0.5 in x 2.012 * [taylor]: Taking taylor expansion of x in x 2.020 * [approximate]: Taking taylor expansion of (* 3.0 (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) in (x) around 0 2.020 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) in x 2.020 * [taylor]: Taking taylor expansion of 3.0 in x 2.020 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 2.020 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.020 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.020 * [taylor]: Taking taylor expansion of -1 in x 2.020 * [taylor]: Taking taylor expansion of x in x 2.021 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.021 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.021 * [taylor]: Taking taylor expansion of -0.5 in x 2.021 * [taylor]: Taking taylor expansion of x in x 2.021 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) in x 2.021 * [taylor]: Taking taylor expansion of 3.0 in x 2.021 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 2.021 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.021 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.021 * [taylor]: Taking taylor expansion of -1 in x 2.021 * [taylor]: Taking taylor expansion of x in x 2.022 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.022 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.022 * [taylor]: Taking taylor expansion of -0.5 in x 2.022 * [taylor]: Taking taylor expansion of x in x 2.031 * * * [progress]: simplifying candidates 2.032 * [simplify]: Simplifying using # : (expm1 (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (log1p (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (- (+ (log 8.0) (log (sin (* x 0.5)))) (+ (- (log (sin x)) (log (sin (* 0.5 x)))) (log 3.0))) (- (+ (log 8.0) (log (sin (* x 0.5)))) (+ (log (/ (sin x) (sin (* 0.5 x)))) (log 3.0))) (- (+ (log 8.0) (log (sin (* x 0.5)))) (log (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (- (log (* 8.0 (sin (* x 0.5)))) (+ (- (log (sin x)) (log (sin (* 0.5 x)))) (log 3.0))) (- (log (* 8.0 (sin (* x 0.5)))) (+ (log (/ (sin x) (sin (* 0.5 x)))) (log 3.0))) (- (log (* 8.0 (sin (* x 0.5)))) (log (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (log (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (exp (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (/ (* (* (* 8.0 8.0) 8.0) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (/ (* (* (sin x) (sin x)) (sin x)) (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x)))) (* (* 3.0 3.0) 3.0))) (/ (* (* (* 8.0 8.0) 8.0) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* (* (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 x)))) (* (* 3.0 3.0) 3.0))) (/ (* (* (* 8.0 8.0) 8.0) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* (* (/ (sin x) (sin (* 0.5 x))) 3.0) (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (/ (* (* (* 8.0 (sin (* x 0.5))) (* 8.0 (sin (* x 0.5)))) (* 8.0 (sin (* x 0.5)))) (* (/ (* (* (sin x) (sin x)) (sin x)) (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x)))) (* (* 3.0 3.0) 3.0))) (/ (* (* (* 8.0 (sin (* x 0.5))) (* 8.0 (sin (* x 0.5)))) (* 8.0 (sin (* x 0.5)))) (* (* (* (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 x)))) (* (* 3.0 3.0) 3.0))) (/ (* (* (* 8.0 (sin (* x 0.5))) (* 8.0 (sin (* x 0.5)))) (* 8.0 (sin (* x 0.5)))) (* (* (* (/ (sin x) (sin (* 0.5 x))) 3.0) (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (* (cbrt (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (cbrt (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0)))) (cbrt (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (* (* (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (sqrt (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (sqrt (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (- (* 8.0 (sin (* x 0.5)))) (- (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (/ 8.0 (/ (sin x) (sin (* 0.5 x)))) (/ (sin (* x 0.5)) 3.0) (/ 1 (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (/ (* (/ (sin x) (sin (* 0.5 x))) 3.0) (* 8.0 (sin (* x 0.5)))) (/ (* 8.0 (sin (* x 0.5))) (/ (sin x) (sin (* 0.5 x)))) (/ (* (/ (sin x) (sin (* 0.5 x))) 3.0) (sin (* x 0.5))) (/ (* 8.0 (sin (* x 0.5))) (* (sin x) 3.0)) (expm1 (/ (sin x) (sin (* 0.5 x)))) (log1p (/ (sin x) (sin (* 0.5 x)))) (- (log (sin x)) (log (sin (* 0.5 x)))) (log (/ (sin x) (sin (* 0.5 x)))) (exp (/ (sin x) (sin (* 0.5 x)))) (/ (* (* (sin x) (sin x)) (sin x)) (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x)))) (* (cbrt (/ (sin x) (sin (* 0.5 x)))) (cbrt (/ (sin x) (sin (* 0.5 x))))) (cbrt (/ (sin x) (sin (* 0.5 x)))) (* (* (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 x)))) (sqrt (/ (sin x) (sin (* 0.5 x)))) (sqrt (/ (sin x) (sin (* 0.5 x)))) (- (sin x)) (- (sin (* 0.5 x))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (cbrt (sin x)) (cbrt (sin (* 0.5 x)))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (sin (* 0.5 x)))) (/ (cbrt (sin x)) (sqrt (sin (* 0.5 x)))) (/ (* (cbrt (sin x)) (cbrt (sin x))) 1) (/ (cbrt (sin x)) (sin (* 0.5 x))) (/ (sqrt (sin x)) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (sqrt (sin x)) (cbrt (sin (* 0.5 x)))) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (/ (sqrt (sin x)) 1) (/ (sqrt (sin x)) (sin (* 0.5 x))) (/ 1 (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (sin x) (cbrt (sin (* 0.5 x)))) (/ 1 (sqrt (sin (* 0.5 x)))) (/ (sin x) (sqrt (sin (* 0.5 x)))) (/ 1 1) (/ (sin x) (sin (* 0.5 x))) (/ 1 (sin (* 0.5 x))) (/ (sin (* 0.5 x)) (sin x)) (/ (sin x) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (sin x) (sqrt (sin (* 0.5 x)))) (/ (sin x) 1) (/ (sin (* 0.5 x)) (cbrt (sin x))) (/ (sin (* 0.5 x)) (sqrt (sin x))) (/ (sin (* 0.5 x)) (sin x)) (expm1 (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (log1p (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (* (/ (sin x) (sin (* 0.5 x))) 3.0) (+ (- (log (sin x)) (log (sin (* 0.5 x)))) (log 3.0)) (+ (log (/ (sin x) (sin (* 0.5 x)))) (log 3.0)) (log (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (exp (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (* (/ (* (* (sin x) (sin x)) (sin x)) (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x)))) (* (* 3.0 3.0) 3.0)) (* (* (* (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 x)))) (* (* 3.0 3.0) 3.0)) (* (cbrt (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (cbrt (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (cbrt (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (* (* (* (/ (sin x) (sin (* 0.5 x))) 3.0) (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (sqrt (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (sqrt (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (* (sqrt (/ (sin x) (sin (* 0.5 x)))) (sqrt 3.0)) (* (sqrt (/ (sin x) (sin (* 0.5 x)))) (sqrt 3.0)) (* (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (sqrt 3.0)) (* (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (sqrt 3.0)) (* (/ (sin x) (sin (* 0.5 x))) (* (cbrt 3.0) (cbrt 3.0))) (* (/ (sin x) (sin (* 0.5 x))) (sqrt 3.0)) (* (/ (sin x) (sin (* 0.5 x))) 1) (* (cbrt (/ (sin x) (sin (* 0.5 x)))) 3.0) (* (sqrt (/ (sin x) (sin (* 0.5 x)))) 3.0) (* (/ (cbrt (sin x)) (cbrt (sin (* 0.5 x)))) 3.0) (* (/ (cbrt (sin x)) (sqrt (sin (* 0.5 x)))) 3.0) (* (/ (cbrt (sin x)) (sin (* 0.5 x))) 3.0) (* (/ (sqrt (sin x)) (cbrt (sin (* 0.5 x)))) 3.0) (* (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) 3.0) (* (/ (sqrt (sin x)) (sin (* 0.5 x))) 3.0) (* (/ (sin x) (cbrt (sin (* 0.5 x)))) 3.0) (* (/ (sin x) (sqrt (sin (* 0.5 x)))) 3.0) (* (/ (sin x) (sin (* 0.5 x))) 3.0) (* (/ (sin x) (sin (* 0.5 x))) 3.0) (* (/ 1 (sin (* 0.5 x))) 3.0) (* (sin x) 3.0) (+ (* 0.05555555555555555 (pow x 3)) (+ (* 0.005555555555555554 (pow x 5)) (* 0.6666666666666666 x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (- (+ (* 0.005208333333333334 (pow x 4)) 2.0) (* 0.25 (pow x 2))) (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x))) (- (+ (* 0.015625 (pow x 4)) 6.0) (* 0.75 (pow x 2))) (* 3.0 (/ (sin x) (sin (* 0.5 x)))) (* 3.0 (/ (sin x) (sin (* 0.5 x)))) 2.040 * * [simplify]: iteration 0 : 433 enodes (cost 924 ) 2.053 * * [simplify]: iteration 1 : 2247 enodes (cost 743 ) 2.098 * * [simplify]: iteration 2 : 5001 enodes (cost 724 ) 2.103 * [simplify]: Simplified to: (expm1 (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (log1p (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (+ (log (/ (pow (sin (* 0.5 x)) 2) (sin x))) (log (/ 8.0 3.0))) (+ (log (/ (pow (sin (* 0.5 x)) 2) (sin x))) (log (/ 8.0 3.0))) (+ (log (/ (pow (sin (* 0.5 x)) 2) (sin x))) (log (/ 8.0 3.0))) (+ (log (/ (pow (sin (* 0.5 x)) 2) (sin x))) (log (/ 8.0 3.0))) (+ (log (/ (pow (sin (* 0.5 x)) 2) (sin x))) (log (/ 8.0 3.0))) (+ (log (/ (pow (sin (* 0.5 x)) 2) (sin x))) (log (/ 8.0 3.0))) (+ (log (/ (pow (sin (* 0.5 x)) 2) (sin x))) (log (/ 8.0 3.0))) (pow (exp (/ (pow (sin (* 0.5 x)) 2) (sin x))) (/ 8.0 3.0)) (* (pow (/ (pow (sin (* 0.5 x)) 2) (sin x)) 3) (pow (/ 8.0 3.0) 3)) (* (pow (/ (pow (sin (* 0.5 x)) 2) (sin x)) 3) (pow (/ 8.0 3.0) 3)) (* (pow (/ (pow (sin (* 0.5 x)) 2) (sin x)) 3) (pow (/ 8.0 3.0) 3)) (* (pow (/ (pow (sin (* 0.5 x)) 2) (sin x)) 3) (pow (/ 8.0 3.0) 3)) (* (pow (/ (pow (sin (* 0.5 x)) 2) (sin x)) 3) (pow (/ 8.0 3.0) 3)) (* (pow (/ (pow (sin (* 0.5 x)) 2) (sin x)) 3) (pow (/ 8.0 3.0) 3)) (* (cbrt (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (cbrt (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0)))) (cbrt (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (* (pow (/ (pow (sin (* 0.5 x)) 2) (sin x)) 3) (pow (/ 8.0 3.0) 3)) (sqrt (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (sqrt (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (- (* 8.0 (sin (* x 0.5)))) (- (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (/ 8.0 (/ (sin x) (sin (* 0.5 x)))) (/ (sin (* 0.5 x)) 3.0) (/ 1 (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (* (/ 3.0 8.0) (/ (sin x) (pow (sin (* 0.5 x)) 2))) (* (/ (pow (sin (* 0.5 x)) 2) (sin x)) (/ 8.0 1)) (/ (* (sin x) 3.0) (pow (sin (* 0.5 x)) 2)) (/ (* 8.0 (sin (* x 0.5))) (* (sin x) 3.0)) (expm1 (/ (sin x) (sin (* 0.5 x)))) (log1p (/ (sin x) (sin (* 0.5 x)))) (log (/ (sin x) (sin (* 0.5 x)))) (log (/ (sin x) (sin (* 0.5 x)))) (exp (/ (sin x) (sin (* 0.5 x)))) (pow (/ (sin x) (sin (* 0.5 x))) 3) (* (cbrt (/ (sin x) (sin (* 0.5 x)))) (cbrt (/ (sin x) (sin (* 0.5 x))))) (cbrt (/ (sin x) (sin (* 0.5 x)))) (pow (/ (sin x) (sin (* 0.5 x))) 3) (sqrt (/ (sin x) (sin (* 0.5 x)))) (sqrt (/ (sin x) (sin (* 0.5 x)))) (- (sin x)) (- (sin (* x 0.5))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (cbrt (sin x)) (cbrt (sin (* 0.5 x)))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (sin (* 0.5 x)))) (/ (cbrt (sin x)) (sqrt (sin (* 0.5 x)))) (* (cbrt (sin x)) (cbrt (sin x))) (/ (cbrt (sin x)) (sin (* 0.5 x))) (/ (sqrt (sin x)) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (sqrt (sin x)) (cbrt (sin (* 0.5 x)))) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (sqrt (sin x)) (/ (sqrt (sin x)) (sin (* 0.5 x))) (/ 1 (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (sin x) (cbrt (sin (* 0.5 x)))) (/ 1 (sqrt (sin (* 0.5 x)))) (/ (sin x) (sqrt (sin (* 0.5 x)))) 1 (/ (sin x) (sin (* 0.5 x))) (/ 1 (sin (* 0.5 x))) (/ (sin (* 0.5 x)) (sin x)) (/ (sin x) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (sin x) (sqrt (sin (* 0.5 x)))) (sin x) (/ (sin (* 0.5 x)) (cbrt (sin x))) (/ (sin (* 0.5 x)) (sqrt (sin x))) (/ (sin (* 0.5 x)) (sin x)) (expm1 (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (log1p (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (* (/ (sin x) (sin (* 0.5 x))) 3.0) (log (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (log (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (log (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (exp (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (pow (* (/ (sin x) (sin (* 0.5 x))) 3.0) 3) (pow (* (/ (sin x) (sin (* 0.5 x))) 3.0) 3) (* (cbrt (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (cbrt (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (cbrt (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (pow (* (/ (sin x) (sin (* 0.5 x))) 3.0) 3) (sqrt (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (sqrt (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (* (sqrt (/ (sin x) (sin (* 0.5 x)))) (sqrt 3.0)) (* (sqrt (/ (sin x) (sin (* 0.5 x)))) (sqrt 3.0)) (* (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (sqrt 3.0)) (* (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (sqrt 3.0)) (* (/ (sin x) (sin (* 0.5 x))) (* (cbrt 3.0) (cbrt 3.0))) (* (/ (sin x) (sin (* 0.5 x))) (sqrt 3.0)) (/ (sin x) (sin (* 0.5 x))) (* (cbrt (/ (sin x) (sin (* 0.5 x)))) 3.0) (* (sqrt (/ (sin x) (sin (* 0.5 x)))) 3.0) (* (/ (cbrt (sin x)) (cbrt (sin (* 0.5 x)))) 3.0) (* (/ (cbrt (sin x)) (sqrt (sin (* 0.5 x)))) 3.0) (* (/ (cbrt (sin x)) (sin (* 0.5 x))) 3.0) (* (/ (sqrt (sin x)) (cbrt (sin (* 0.5 x)))) 3.0) (* (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) 3.0) (* (/ (sqrt (sin x)) (sin (* 0.5 x))) 3.0) (* (/ (sin x) (cbrt (sin (* 0.5 x)))) 3.0) (* (/ (sin x) (sqrt (sin (* 0.5 x)))) 3.0) (* (/ (sin x) (sin (* 0.5 x))) 3.0) (* (/ (sin x) (sin (* 0.5 x))) 3.0) (/ 3.0 (sin (* x 0.5))) (* (sin x) 3.0) (fma 0.05555555555555555 (pow x 3) (fma 0.005555555555555554 (pow x 5) (* 0.6666666666666666 x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (fma (pow x 4) 0.005208333333333334 (- 2.0 (* 0.25 (pow x 2)))) (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x))) (fma (pow x 4) 0.015625 (- 6.0 (* 0.75 (pow x 2)))) (* (/ (sin x) (sin (* 0.5 x))) 3.0) (* (/ (sin x) (sin (* 0.5 x))) 3.0) 2.104 * * * [progress]: adding candidates to table 2.386 * * [progress]: iteration 4 / 4 2.386 * * * [progress]: picking best candidate 2.409 * * * * [pick]: Picked # 2.409 * * * [progress]: localizing error 2.430 * * * [progress]: generating rewritten candidates 2.430 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 2.431 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 2.439 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1) 2.445 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 2.447 * * * [progress]: generating series expansions 2.447 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 2.447 * [approximate]: Taking taylor expansion of (log1p (expm1 (/ (sin x) (sin (* 0.5 x))))) in (x) around 0 2.448 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (sin x) (sin (* 0.5 x))))) in x 2.448 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (sin x) (sin (* 0.5 x)))))) 2.448 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (sin x) (sin (* 0.5 x))))) in x 2.448 * [taylor]: Taking taylor expansion of 1 in x 2.448 * [taylor]: Taking taylor expansion of (expm1 (/ (sin x) (sin (* 0.5 x)))) in x 2.448 * [taylor]: Rewrote expression to (- (exp (/ (sin x) (sin (* 0.5 x)))) 1) 2.448 * [taylor]: Taking taylor expansion of (exp (/ (sin x) (sin (* 0.5 x)))) in x 2.448 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 2.448 * [taylor]: Taking taylor expansion of (sin x) in x 2.448 * [taylor]: Taking taylor expansion of x in x 2.448 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 2.448 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 2.448 * [taylor]: Taking taylor expansion of 0.5 in x 2.448 * [taylor]: Taking taylor expansion of x in x 2.453 * [taylor]: Taking taylor expansion of 1 in x 2.455 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (sin x) (sin (* 0.5 x))))) in x 2.456 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (sin x) (sin (* 0.5 x)))))) 2.456 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (sin x) (sin (* 0.5 x))))) in x 2.456 * [taylor]: Taking taylor expansion of 1 in x 2.456 * [taylor]: Taking taylor expansion of (expm1 (/ (sin x) (sin (* 0.5 x)))) in x 2.456 * [taylor]: Rewrote expression to (- (exp (/ (sin x) (sin (* 0.5 x)))) 1) 2.456 * [taylor]: Taking taylor expansion of (exp (/ (sin x) (sin (* 0.5 x)))) in x 2.456 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 2.456 * [taylor]: Taking taylor expansion of (sin x) in x 2.456 * [taylor]: Taking taylor expansion of x in x 2.456 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 2.456 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 2.456 * [taylor]: Taking taylor expansion of 0.5 in x 2.456 * [taylor]: Taking taylor expansion of x in x 2.460 * [taylor]: Taking taylor expansion of 1 in x 2.571 * [approximate]: Taking taylor expansion of (log1p (expm1 (/ (sin (/ 1 x)) (sin (/ 0.5 x))))) in (x) around 0 2.571 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (sin (/ 1 x)) (sin (/ 0.5 x))))) in x 2.571 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (sin (/ 1 x)) (sin (/ 0.5 x)))))) 2.571 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (sin (/ 1 x)) (sin (/ 0.5 x))))) in x 2.571 * [taylor]: Taking taylor expansion of 1 in x 2.571 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) in x 2.571 * [taylor]: Rewrote expression to (- (exp (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) 1) 2.571 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) in x 2.571 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 2.572 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.572 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.572 * [taylor]: Taking taylor expansion of x in x 2.572 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.572 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.572 * [taylor]: Taking taylor expansion of 0.5 in x 2.572 * [taylor]: Taking taylor expansion of x in x 2.573 * [taylor]: Taking taylor expansion of 1 in x 2.574 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (sin (/ 1 x)) (sin (/ 0.5 x))))) in x 2.574 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (sin (/ 1 x)) (sin (/ 0.5 x)))))) 2.574 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (sin (/ 1 x)) (sin (/ 0.5 x))))) in x 2.574 * [taylor]: Taking taylor expansion of 1 in x 2.574 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) in x 2.574 * [taylor]: Rewrote expression to (- (exp (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) 1) 2.574 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) in x 2.574 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 2.574 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.574 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.574 * [taylor]: Taking taylor expansion of x in x 2.574 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.575 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.575 * [taylor]: Taking taylor expansion of 0.5 in x 2.575 * [taylor]: Taking taylor expansion of x in x 2.575 * [taylor]: Taking taylor expansion of 1 in x 2.626 * [approximate]: Taking taylor expansion of (log1p (expm1 (/ (sin (/ -1 x)) (sin (/ -0.5 x))))) in (x) around 0 2.626 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (sin (/ -1 x)) (sin (/ -0.5 x))))) in x 2.626 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (sin (/ -1 x)) (sin (/ -0.5 x)))))) 2.626 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (sin (/ -1 x)) (sin (/ -0.5 x))))) in x 2.627 * [taylor]: Taking taylor expansion of 1 in x 2.627 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) in x 2.627 * [taylor]: Rewrote expression to (- (exp (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) 1) 2.627 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) in x 2.627 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 2.627 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.627 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.627 * [taylor]: Taking taylor expansion of -1 in x 2.627 * [taylor]: Taking taylor expansion of x in x 2.627 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.627 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.627 * [taylor]: Taking taylor expansion of -0.5 in x 2.627 * [taylor]: Taking taylor expansion of x in x 2.628 * [taylor]: Taking taylor expansion of 1 in x 2.629 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (sin (/ -1 x)) (sin (/ -0.5 x))))) in x 2.629 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (sin (/ -1 x)) (sin (/ -0.5 x)))))) 2.629 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (sin (/ -1 x)) (sin (/ -0.5 x))))) in x 2.629 * [taylor]: Taking taylor expansion of 1 in x 2.629 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) in x 2.629 * [taylor]: Rewrote expression to (- (exp (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) 1) 2.629 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) in x 2.629 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 2.629 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.629 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.629 * [taylor]: Taking taylor expansion of -1 in x 2.629 * [taylor]: Taking taylor expansion of x in x 2.630 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.630 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.630 * [taylor]: Taking taylor expansion of -0.5 in x 2.630 * [taylor]: Taking taylor expansion of x in x 2.631 * [taylor]: Taking taylor expansion of 1 in x 2.677 * * * * [progress]: [ 2 / 4 ] generating series at (2) 2.677 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (sin (* 0.5 x)) (log1p (expm1 (/ (sin x) (sin (* 0.5 x))))))) in (x) around 0 2.677 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (sin (* 0.5 x)) (log1p (expm1 (/ (sin x) (sin (* 0.5 x))))))) in x 2.678 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 2.678 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 x)) (log1p (expm1 (/ (sin x) (sin (* 0.5 x)))))) in x 2.678 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 2.678 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 2.678 * [taylor]: Taking taylor expansion of 0.5 in x 2.678 * [taylor]: Taking taylor expansion of x in x 2.679 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (sin x) (sin (* 0.5 x))))) in x 2.679 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (sin x) (sin (* 0.5 x)))))) 2.679 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (sin x) (sin (* 0.5 x))))) in x 2.680 * [taylor]: Taking taylor expansion of 1 in x 2.680 * [taylor]: Taking taylor expansion of (expm1 (/ (sin x) (sin (* 0.5 x)))) in x 2.680 * [taylor]: Rewrote expression to (- (exp (/ (sin x) (sin (* 0.5 x)))) 1) 2.680 * [taylor]: Taking taylor expansion of (exp (/ (sin x) (sin (* 0.5 x)))) in x 2.680 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 2.680 * [taylor]: Taking taylor expansion of (sin x) in x 2.680 * [taylor]: Taking taylor expansion of x in x 2.680 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 2.680 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 2.680 * [taylor]: Taking taylor expansion of 0.5 in x 2.680 * [taylor]: Taking taylor expansion of x in x 2.684 * [taylor]: Taking taylor expansion of 1 in x 2.689 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (sin (* 0.5 x)) (log1p (expm1 (/ (sin x) (sin (* 0.5 x))))))) in x 2.689 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 2.689 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 x)) (log1p (expm1 (/ (sin x) (sin (* 0.5 x)))))) in x 2.689 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 2.690 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 2.690 * [taylor]: Taking taylor expansion of 0.5 in x 2.690 * [taylor]: Taking taylor expansion of x in x 2.691 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (sin x) (sin (* 0.5 x))))) in x 2.691 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (sin x) (sin (* 0.5 x)))))) 2.691 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (sin x) (sin (* 0.5 x))))) in x 2.691 * [taylor]: Taking taylor expansion of 1 in x 2.691 * [taylor]: Taking taylor expansion of (expm1 (/ (sin x) (sin (* 0.5 x)))) in x 2.691 * [taylor]: Rewrote expression to (- (exp (/ (sin x) (sin (* 0.5 x)))) 1) 2.691 * [taylor]: Taking taylor expansion of (exp (/ (sin x) (sin (* 0.5 x)))) in x 2.692 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 2.692 * [taylor]: Taking taylor expansion of (sin x) in x 2.692 * [taylor]: Taking taylor expansion of x in x 2.692 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 2.692 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 2.692 * [taylor]: Taking taylor expansion of 0.5 in x 2.692 * [taylor]: Taking taylor expansion of x in x 2.700 * [taylor]: Taking taylor expansion of 1 in x 2.839 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (sin (/ 0.5 x)) (log1p (expm1 (/ (sin (/ 1 x)) (sin (/ 0.5 x))))))) in (x) around 0 2.839 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (sin (/ 0.5 x)) (log1p (expm1 (/ (sin (/ 1 x)) (sin (/ 0.5 x))))))) in x 2.839 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 2.839 * [taylor]: Taking taylor expansion of (/ (sin (/ 0.5 x)) (log1p (expm1 (/ (sin (/ 1 x)) (sin (/ 0.5 x)))))) in x 2.839 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.839 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.839 * [taylor]: Taking taylor expansion of 0.5 in x 2.839 * [taylor]: Taking taylor expansion of x in x 2.840 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (sin (/ 1 x)) (sin (/ 0.5 x))))) in x 2.840 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (sin (/ 1 x)) (sin (/ 0.5 x)))))) 2.840 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (sin (/ 1 x)) (sin (/ 0.5 x))))) in x 2.840 * [taylor]: Taking taylor expansion of 1 in x 2.840 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) in x 2.840 * [taylor]: Rewrote expression to (- (exp (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) 1) 2.840 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) in x 2.840 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 2.840 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.840 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.840 * [taylor]: Taking taylor expansion of x in x 2.841 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.841 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.841 * [taylor]: Taking taylor expansion of 0.5 in x 2.841 * [taylor]: Taking taylor expansion of x in x 2.841 * [taylor]: Taking taylor expansion of 1 in x 2.842 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (sin (/ 0.5 x)) (log1p (expm1 (/ (sin (/ 1 x)) (sin (/ 0.5 x))))))) in x 2.842 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 2.842 * [taylor]: Taking taylor expansion of (/ (sin (/ 0.5 x)) (log1p (expm1 (/ (sin (/ 1 x)) (sin (/ 0.5 x)))))) in x 2.842 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.842 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.842 * [taylor]: Taking taylor expansion of 0.5 in x 2.842 * [taylor]: Taking taylor expansion of x in x 2.843 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (sin (/ 1 x)) (sin (/ 0.5 x))))) in x 2.843 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (sin (/ 1 x)) (sin (/ 0.5 x)))))) 2.843 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (sin (/ 1 x)) (sin (/ 0.5 x))))) in x 2.843 * [taylor]: Taking taylor expansion of 1 in x 2.843 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) in x 2.843 * [taylor]: Rewrote expression to (- (exp (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) 1) 2.843 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) in x 2.843 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 2.843 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.843 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.843 * [taylor]: Taking taylor expansion of x in x 2.844 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.844 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.844 * [taylor]: Taking taylor expansion of 0.5 in x 2.844 * [taylor]: Taking taylor expansion of x in x 2.844 * [taylor]: Taking taylor expansion of 1 in x 2.905 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (sin (/ -0.5 x)) (log1p (expm1 (/ (sin (/ -1 x)) (sin (/ -0.5 x))))))) in (x) around 0 2.905 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (sin (/ -0.5 x)) (log1p (expm1 (/ (sin (/ -1 x)) (sin (/ -0.5 x))))))) in x 2.906 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 2.906 * [taylor]: Taking taylor expansion of (/ (sin (/ -0.5 x)) (log1p (expm1 (/ (sin (/ -1 x)) (sin (/ -0.5 x)))))) in x 2.906 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.906 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.906 * [taylor]: Taking taylor expansion of -0.5 in x 2.906 * [taylor]: Taking taylor expansion of x in x 2.906 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (sin (/ -1 x)) (sin (/ -0.5 x))))) in x 2.906 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (sin (/ -1 x)) (sin (/ -0.5 x)))))) 2.906 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (sin (/ -1 x)) (sin (/ -0.5 x))))) in x 2.906 * [taylor]: Taking taylor expansion of 1 in x 2.906 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) in x 2.907 * [taylor]: Rewrote expression to (- (exp (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) 1) 2.907 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) in x 2.907 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 2.907 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.907 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.907 * [taylor]: Taking taylor expansion of -1 in x 2.907 * [taylor]: Taking taylor expansion of x in x 2.907 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.907 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.907 * [taylor]: Taking taylor expansion of -0.5 in x 2.907 * [taylor]: Taking taylor expansion of x in x 2.908 * [taylor]: Taking taylor expansion of 1 in x 2.909 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (sin (/ -0.5 x)) (log1p (expm1 (/ (sin (/ -1 x)) (sin (/ -0.5 x))))))) in x 2.909 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 2.909 * [taylor]: Taking taylor expansion of (/ (sin (/ -0.5 x)) (log1p (expm1 (/ (sin (/ -1 x)) (sin (/ -0.5 x)))))) in x 2.909 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.909 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.909 * [taylor]: Taking taylor expansion of -0.5 in x 2.909 * [taylor]: Taking taylor expansion of x in x 2.909 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (sin (/ -1 x)) (sin (/ -0.5 x))))) in x 2.910 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (sin (/ -1 x)) (sin (/ -0.5 x)))))) 2.910 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (sin (/ -1 x)) (sin (/ -0.5 x))))) in x 2.910 * [taylor]: Taking taylor expansion of 1 in x 2.910 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) in x 2.910 * [taylor]: Rewrote expression to (- (exp (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) 1) 2.910 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) in x 2.910 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 2.910 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.910 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.910 * [taylor]: Taking taylor expansion of -1 in x 2.910 * [taylor]: Taking taylor expansion of x in x 2.910 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.910 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.910 * [taylor]: Taking taylor expansion of -0.5 in x 2.910 * [taylor]: Taking taylor expansion of x in x 2.911 * [taylor]: Taking taylor expansion of 1 in x 2.968 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1) 2.968 * [approximate]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in (x) around 0 2.968 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 2.968 * [taylor]: Taking taylor expansion of (sin x) in x 2.968 * [taylor]: Taking taylor expansion of x in x 2.968 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 2.968 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 2.968 * [taylor]: Taking taylor expansion of 0.5 in x 2.968 * [taylor]: Taking taylor expansion of x in x 2.972 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 2.972 * [taylor]: Taking taylor expansion of (sin x) in x 2.972 * [taylor]: Taking taylor expansion of x in x 2.972 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 2.972 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 2.972 * [taylor]: Taking taylor expansion of 0.5 in x 2.972 * [taylor]: Taking taylor expansion of x in x 3.010 * [approximate]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in (x) around 0 3.010 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 3.010 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 3.010 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.011 * [taylor]: Taking taylor expansion of x in x 3.011 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 3.011 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 3.011 * [taylor]: Taking taylor expansion of 0.5 in x 3.011 * [taylor]: Taking taylor expansion of x in x 3.012 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 3.012 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 3.012 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.012 * [taylor]: Taking taylor expansion of x in x 3.012 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 3.012 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 3.012 * [taylor]: Taking taylor expansion of 0.5 in x 3.012 * [taylor]: Taking taylor expansion of x in x 3.015 * [approximate]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in (x) around 0 3.015 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 3.015 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 3.015 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.015 * [taylor]: Taking taylor expansion of -1 in x 3.015 * [taylor]: Taking taylor expansion of x in x 3.015 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 3.015 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 3.015 * [taylor]: Taking taylor expansion of -0.5 in x 3.015 * [taylor]: Taking taylor expansion of x in x 3.016 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 3.016 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 3.016 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.016 * [taylor]: Taking taylor expansion of -1 in x 3.016 * [taylor]: Taking taylor expansion of x in x 3.016 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 3.017 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 3.017 * [taylor]: Taking taylor expansion of -0.5 in x 3.017 * [taylor]: Taking taylor expansion of x in x 3.019 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 3.019 * [approximate]: Taking taylor expansion of (expm1 (/ (sin x) (sin (* 0.5 x)))) in (x) around 0 3.019 * [taylor]: Taking taylor expansion of (expm1 (/ (sin x) (sin (* 0.5 x)))) in x 3.019 * [taylor]: Rewrote expression to (- (exp (/ (sin x) (sin (* 0.5 x)))) 1) 3.019 * [taylor]: Taking taylor expansion of (exp (/ (sin x) (sin (* 0.5 x)))) in x 3.019 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 3.019 * [taylor]: Taking taylor expansion of (sin x) in x 3.020 * [taylor]: Taking taylor expansion of x in x 3.020 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 3.020 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 3.020 * [taylor]: Taking taylor expansion of 0.5 in x 3.020 * [taylor]: Taking taylor expansion of x in x 3.024 * [taylor]: Taking taylor expansion of 1 in x 3.024 * [taylor]: Taking taylor expansion of (expm1 (/ (sin x) (sin (* 0.5 x)))) in x 3.024 * [taylor]: Rewrote expression to (- (exp (/ (sin x) (sin (* 0.5 x)))) 1) 3.024 * [taylor]: Taking taylor expansion of (exp (/ (sin x) (sin (* 0.5 x)))) in x 3.024 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 3.024 * [taylor]: Taking taylor expansion of (sin x) in x 3.024 * [taylor]: Taking taylor expansion of x in x 3.024 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 3.024 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 3.025 * [taylor]: Taking taylor expansion of 0.5 in x 3.025 * [taylor]: Taking taylor expansion of x in x 3.029 * [taylor]: Taking taylor expansion of 1 in x 3.087 * [approximate]: Taking taylor expansion of (expm1 (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) in (x) around 0 3.087 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) in x 3.087 * [taylor]: Rewrote expression to (- (exp (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) 1) 3.087 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) in x 3.087 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 3.087 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 3.087 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.087 * [taylor]: Taking taylor expansion of x in x 3.087 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 3.087 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 3.087 * [taylor]: Taking taylor expansion of 0.5 in x 3.087 * [taylor]: Taking taylor expansion of x in x 3.088 * [taylor]: Taking taylor expansion of 1 in x 3.088 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) in x 3.088 * [taylor]: Rewrote expression to (- (exp (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) 1) 3.088 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) in x 3.088 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 3.088 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 3.088 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.088 * [taylor]: Taking taylor expansion of x in x 3.089 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 3.089 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 3.089 * [taylor]: Taking taylor expansion of 0.5 in x 3.089 * [taylor]: Taking taylor expansion of x in x 3.089 * [taylor]: Taking taylor expansion of 1 in x 3.110 * [approximate]: Taking taylor expansion of (expm1 (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) in (x) around 0 3.110 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) in x 3.110 * [taylor]: Rewrote expression to (- (exp (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) 1) 3.110 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) in x 3.110 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 3.110 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 3.110 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.110 * [taylor]: Taking taylor expansion of -1 in x 3.110 * [taylor]: Taking taylor expansion of x in x 3.111 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 3.111 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 3.111 * [taylor]: Taking taylor expansion of -0.5 in x 3.111 * [taylor]: Taking taylor expansion of x in x 3.112 * [taylor]: Taking taylor expansion of 1 in x 3.112 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) in x 3.112 * [taylor]: Rewrote expression to (- (exp (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) 1) 3.112 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) in x 3.112 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 3.112 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 3.112 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.112 * [taylor]: Taking taylor expansion of -1 in x 3.112 * [taylor]: Taking taylor expansion of x in x 3.112 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 3.112 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 3.112 * [taylor]: Taking taylor expansion of -0.5 in x 3.112 * [taylor]: Taking taylor expansion of x in x 3.113 * [taylor]: Taking taylor expansion of 1 in x 3.130 * * * [progress]: simplifying candidates 3.131 * [simplify]: Simplifying using # : (+ 1 (expm1 (/ (sin x) (sin (* 0.5 x))))) (expm1 (log1p (expm1 (/ (sin x) (sin (* 0.5 x)))))) (log1p (log1p (expm1 (/ (sin x) (sin (* 0.5 x)))))) (log (log1p (expm1 (/ (sin x) (sin (* 0.5 x)))))) (exp (log1p (expm1 (/ (sin x) (sin (* 0.5 x)))))) (* (cbrt (log1p (expm1 (/ (sin x) (sin (* 0.5 x)))))) (cbrt (log1p (expm1 (/ (sin x) (sin (* 0.5 x))))))) (cbrt (log1p (expm1 (/ (sin x) (sin (* 0.5 x)))))) (* (* (log1p (expm1 (/ (sin x) (sin (* 0.5 x))))) (log1p (expm1 (/ (sin x) (sin (* 0.5 x)))))) (log1p (expm1 (/ (sin x) (sin (* 0.5 x)))))) (sqrt (log1p (expm1 (/ (sin x) (sin (* 0.5 x)))))) (sqrt (log1p (expm1 (/ (sin x) (sin (* 0.5 x)))))) (expm1 (/ (* 8.0 (sin (* x 0.5))) (* (log1p (expm1 (/ (sin x) (sin (* 0.5 x))))) 3.0))) (log1p (/ (* 8.0 (sin (* x 0.5))) (* (log1p (expm1 (/ (sin x) (sin (* 0.5 x))))) 3.0))) (- (+ (log 8.0) (log (sin (* x 0.5)))) (+ (log (log1p (expm1 (/ (sin x) (sin (* 0.5 x)))))) (log 3.0))) (- (+ (log 8.0) (log (sin (* x 0.5)))) (log (* (log1p (expm1 (/ (sin x) (sin (* 0.5 x))))) 3.0))) (- (log (* 8.0 (sin (* x 0.5)))) (+ (log (log1p (expm1 (/ (sin x) (sin (* 0.5 x)))))) (log 3.0))) (- (log (* 8.0 (sin (* x 0.5)))) (log (* (log1p (expm1 (/ (sin x) (sin (* 0.5 x))))) 3.0))) (log (/ (* 8.0 (sin (* x 0.5))) (* (log1p (expm1 (/ (sin x) (sin (* 0.5 x))))) 3.0))) (exp (/ (* 8.0 (sin (* x 0.5))) (* (log1p (expm1 (/ (sin x) (sin (* 0.5 x))))) 3.0))) (/ (* (* (* 8.0 8.0) 8.0) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* (* (log1p (expm1 (/ (sin x) (sin (* 0.5 x))))) (log1p (expm1 (/ (sin x) (sin (* 0.5 x)))))) (log1p (expm1 (/ (sin x) (sin (* 0.5 x)))))) (* (* 3.0 3.0) 3.0))) (/ (* (* (* 8.0 8.0) 8.0) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* (* (log1p (expm1 (/ (sin x) (sin (* 0.5 x))))) 3.0) (* (log1p (expm1 (/ (sin x) (sin (* 0.5 x))))) 3.0)) (* (log1p (expm1 (/ (sin x) (sin (* 0.5 x))))) 3.0))) (/ (* (* (* 8.0 (sin (* x 0.5))) (* 8.0 (sin (* x 0.5)))) (* 8.0 (sin (* x 0.5)))) (* (* (* (log1p (expm1 (/ (sin x) (sin (* 0.5 x))))) (log1p (expm1 (/ (sin x) (sin (* 0.5 x)))))) (log1p (expm1 (/ (sin x) (sin (* 0.5 x)))))) (* (* 3.0 3.0) 3.0))) (/ (* (* (* 8.0 (sin (* x 0.5))) (* 8.0 (sin (* x 0.5)))) (* 8.0 (sin (* x 0.5)))) (* (* (* (log1p (expm1 (/ (sin x) (sin (* 0.5 x))))) 3.0) (* (log1p (expm1 (/ (sin x) (sin (* 0.5 x))))) 3.0)) (* (log1p (expm1 (/ (sin x) (sin (* 0.5 x))))) 3.0))) (* (cbrt (/ (* 8.0 (sin (* x 0.5))) (* (log1p (expm1 (/ (sin x) (sin (* 0.5 x))))) 3.0))) (cbrt (/ (* 8.0 (sin (* x 0.5))) (* (log1p (expm1 (/ (sin x) (sin (* 0.5 x))))) 3.0)))) (cbrt (/ (* 8.0 (sin (* x 0.5))) (* (log1p (expm1 (/ (sin x) (sin (* 0.5 x))))) 3.0))) (* (* (/ (* 8.0 (sin (* x 0.5))) (* (log1p (expm1 (/ (sin x) (sin (* 0.5 x))))) 3.0)) (/ (* 8.0 (sin (* x 0.5))) (* (log1p (expm1 (/ (sin x) (sin (* 0.5 x))))) 3.0))) (/ (* 8.0 (sin (* x 0.5))) (* (log1p (expm1 (/ (sin x) (sin (* 0.5 x))))) 3.0))) (sqrt (/ (* 8.0 (sin (* x 0.5))) (* (log1p (expm1 (/ (sin x) (sin (* 0.5 x))))) 3.0))) (sqrt (/ (* 8.0 (sin (* x 0.5))) (* (log1p (expm1 (/ 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(sin (* 0.5 x)) (sqrt (sin x))) (/ (sin (* 0.5 x)) (sin x)) (exp (/ (sin x) (sin (* 0.5 x)))) (expm1 (expm1 (/ (sin x) (sin (* 0.5 x))))) (log1p (expm1 (/ (sin x) (sin (* 0.5 x))))) (log (expm1 (/ (sin x) (sin (* 0.5 x))))) (exp (expm1 (/ (sin x) (sin (* 0.5 x))))) (* (cbrt (expm1 (/ (sin x) (sin (* 0.5 x))))) (cbrt (expm1 (/ (sin x) (sin (* 0.5 x)))))) (cbrt (expm1 (/ (sin x) (sin (* 0.5 x))))) (* (* (expm1 (/ (sin x) (sin (* 0.5 x)))) (expm1 (/ (sin x) (sin (* 0.5 x))))) (expm1 (/ (sin x) (sin (* 0.5 x))))) (sqrt (expm1 (/ (sin x) (sin (* 0.5 x))))) (sqrt (expm1 (/ (sin x) (sin (* 0.5 x))))) (- (+ (* 0.005208333333333333 (pow x 4)) 2.0) (* 0.25 (pow x 2))) (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x))) (+ (* 0.05555555555555556 (pow x 3)) (+ (* 0.005555555555555557 (pow x 5)) (* 0.6666666666666666 x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (- (+ (* 0.005208333333333334 (pow x 4)) 2.0) (* 0.25 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(/ (sin x) (sin (* 0.5 x)))) (expm1 (/ (sin x) (sin (* 0.5 x)))) 3.191 * * * [progress]: adding candidates to table 3.464 * [progress]: [Phase 3 of 3] Extracting. 3.464 * * [regime]: Finding splitpoints for: (# # # # # # # #) 3.465 * * * [regime-changes]: Trying 1 branch expressions: (x) 3.465 * * * * [regimes]: Trying to branch on x from (# # # # # # # #) 3.501 * * * [regime]: Found split indices: #