11.701 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.057 * * * [progress]: [2/2] Setting up program. 0.059 * [progress]: [Phase 2 of 3] Improving. 0.060 * [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 ) 0.065 * * [simplify]: iteration 2 : 93 enodes (cost 9 ) 0.068 * * [simplify]: iteration 3 : 174 enodes (cost 9 ) 0.070 * * [simplify]: iteration 4 : 269 enodes (cost 9 ) 0.074 * * [simplify]: iteration 5 : 288 enodes (cost 9 ) 0.077 * * [simplify]: iteration 6 : 288 enodes (cost 9 ) 0.078 * [simplify]: Simplified to: (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x)) 0.078 * * [progress]: iteration 1 / 4 0.078 * * * [progress]: picking best candidate 0.080 * * * * [pick]: Picked # 0.080 * * * [progress]: localizing error 0.096 * * * [progress]: generating rewritten candidates 0.096 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.116 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.126 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.149 * * * [progress]: generating series expansions 0.149 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.150 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in (x) around 0 0.150 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.150 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.150 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 0.150 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.150 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.150 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.150 * [taylor]: Taking taylor expansion of 0.5 in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.153 * [taylor]: Taking taylor expansion of (sin x) in x 0.153 * [taylor]: Taking taylor expansion of x in x 0.154 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.154 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.154 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 0.154 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.154 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.154 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.154 * [taylor]: Taking taylor expansion of 0.5 in x 0.154 * [taylor]: Taking taylor expansion of x in x 0.157 * [taylor]: Taking taylor expansion of (sin x) in x 0.157 * [taylor]: Taking taylor expansion of x in x 0.201 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in (x) around 0 0.201 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 0.201 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.201 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 0.201 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.201 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.201 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.201 * [taylor]: Taking taylor expansion of 0.5 in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.201 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.201 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.202 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 0.202 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.202 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 0.202 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.202 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.202 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.202 * [taylor]: Taking taylor expansion of 0.5 in x 0.202 * [taylor]: Taking taylor expansion of x in x 0.202 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.202 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.202 * [taylor]: Taking taylor expansion of x in x 0.216 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in (x) around 0 0.216 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.216 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.216 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 0.216 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.216 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.216 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.216 * [taylor]: Taking taylor expansion of -0.5 in x 0.216 * [taylor]: Taking taylor expansion of x in x 0.216 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.216 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.216 * [taylor]: Taking taylor expansion of -1 in x 0.216 * [taylor]: Taking taylor expansion of x in x 0.217 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.217 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.217 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 0.217 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.217 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.217 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.217 * [taylor]: Taking taylor expansion of -0.5 in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.217 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.217 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.217 * [taylor]: Taking taylor expansion of -1 in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.231 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.231 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in (x) around 0 0.231 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 0.231 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.231 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.231 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.231 * [taylor]: Taking taylor expansion of 0.5 in x 0.231 * [taylor]: Taking taylor expansion of x in x 0.232 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 0.232 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.232 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.232 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.232 * [taylor]: Taking taylor expansion of 0.5 in x 0.232 * [taylor]: Taking taylor expansion of x in x 0.253 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in (x) around 0 0.253 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 0.253 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.253 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.253 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.253 * [taylor]: Taking taylor expansion of 0.5 in x 0.253 * [taylor]: Taking taylor expansion of x in x 0.254 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 0.254 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.254 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.254 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.254 * [taylor]: Taking taylor expansion of 0.5 in x 0.254 * [taylor]: Taking taylor expansion of x in x 0.260 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in (x) around 0 0.260 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 0.260 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.260 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.260 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.260 * [taylor]: Taking taylor expansion of -0.5 in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.260 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 0.260 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.260 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.260 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.260 * [taylor]: Taking taylor expansion of -0.5 in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.272 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.272 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (* 0.5 x)) 2)) in (x) around 0 0.272 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (* 0.5 x)) 2)) in x 0.272 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.273 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.273 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.273 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.273 * [taylor]: Taking taylor expansion of 0.5 in x 0.273 * [taylor]: Taking taylor expansion of x in x 0.275 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (* 0.5 x)) 2)) in x 0.275 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.275 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.275 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.275 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.275 * [taylor]: Taking taylor expansion of 0.5 in x 0.275 * [taylor]: Taking taylor expansion of x in x 0.303 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ 0.5 x)) 2)) in (x) around 0 0.303 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ 0.5 x)) 2)) in x 0.303 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.303 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.303 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.303 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.303 * [taylor]: Taking taylor expansion of 0.5 in x 0.303 * [taylor]: Taking taylor expansion of x in x 0.303 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ 0.5 x)) 2)) in x 0.303 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.303 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.303 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.303 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.303 * [taylor]: Taking taylor expansion of 0.5 in x 0.303 * [taylor]: Taking taylor expansion of x in x 0.314 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ -0.5 x)) 2)) in (x) around 0 0.315 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ -0.5 x)) 2)) in x 0.315 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.315 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.315 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.315 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.315 * [taylor]: Taking taylor expansion of -0.5 in x 0.315 * [taylor]: Taking taylor expansion of x in x 0.315 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ -0.5 x)) 2)) in x 0.315 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.315 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.315 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.315 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.315 * [taylor]: Taking taylor expansion of -0.5 in x 0.315 * [taylor]: Taking taylor expansion of x in x 0.325 * * * [progress]: simplifying candidates 0.327 * [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)) 0.334 * * [simplify]: iteration 0 : 412 enodes (cost 862 ) 0.343 * * [simplify]: iteration 1 : 2127 enodes (cost 656 ) 0.380 * * [simplify]: iteration 2 : 5001 enodes (cost 637 ) 0.383 * [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)) 0.384 * * * [progress]: adding candidates to table 0.609 * * [progress]: iteration 2 / 4 0.609 * * * [progress]: picking best candidate 0.642 * * * * [pick]: Picked # 0.642 * * * [progress]: localizing error 0.657 * * * [progress]: generating rewritten candidates 0.657 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.671 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.693 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.701 * * * [progress]: generating series expansions 0.701 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.702 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in (x) around 0 0.702 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 0.702 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.702 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.702 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.702 * [taylor]: Taking taylor expansion of 0.5 in x 0.702 * [taylor]: Taking taylor expansion of x in x 0.703 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 0.703 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.703 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.703 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.703 * [taylor]: Taking taylor expansion of 0.5 in x 0.703 * [taylor]: Taking taylor expansion of x in x 0.724 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in (x) around 0 0.724 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 0.724 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.724 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.724 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.724 * [taylor]: Taking taylor expansion of 0.5 in x 0.724 * [taylor]: Taking taylor expansion of x in x 0.725 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 0.725 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.725 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.725 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.725 * [taylor]: Taking taylor expansion of 0.5 in x 0.725 * [taylor]: Taking taylor expansion of x in x 0.731 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in (x) around 0 0.731 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 0.731 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.731 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.731 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.731 * [taylor]: Taking taylor expansion of -0.5 in x 0.731 * [taylor]: Taking taylor expansion of x in x 0.731 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 0.731 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.731 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.731 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.731 * [taylor]: Taking taylor expansion of -0.5 in x 0.731 * [taylor]: Taking taylor expansion of x in x 0.737 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.738 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in (x) around 0 0.738 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.738 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.738 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 0.738 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.738 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.738 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.738 * [taylor]: Taking taylor expansion of 0.5 in x 0.738 * [taylor]: Taking taylor expansion of x in x 0.741 * [taylor]: Taking taylor expansion of (sin x) in x 0.741 * [taylor]: Taking taylor expansion of x in x 0.742 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.742 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.742 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 0.742 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.742 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.742 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.742 * [taylor]: Taking taylor expansion of 0.5 in x 0.742 * [taylor]: Taking taylor expansion of x in x 0.744 * [taylor]: Taking taylor expansion of (sin x) in x 0.744 * [taylor]: Taking taylor expansion of x in x 0.786 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in (x) around 0 0.787 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 0.787 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.787 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 0.787 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.787 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.787 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.787 * [taylor]: Taking taylor expansion of 0.5 in x 0.787 * [taylor]: Taking taylor expansion of x in x 0.787 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.787 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.787 * [taylor]: Taking taylor expansion of x in x 0.788 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 0.788 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.788 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 0.788 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.788 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.788 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.788 * [taylor]: Taking taylor expansion of 0.5 in x 0.788 * [taylor]: Taking taylor expansion of x in x 0.788 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.788 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.788 * [taylor]: Taking taylor expansion of x in x 0.801 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in (x) around 0 0.802 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.802 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.802 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 0.802 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.802 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.802 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.802 * [taylor]: Taking taylor expansion of -0.5 in x 0.802 * [taylor]: Taking taylor expansion of x in x 0.802 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.802 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.802 * [taylor]: Taking taylor expansion of -1 in x 0.802 * [taylor]: Taking taylor expansion of x in x 0.803 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.803 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.803 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 0.803 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.803 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.803 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.803 * [taylor]: Taking taylor expansion of -0.5 in x 0.803 * [taylor]: Taking taylor expansion of x in x 0.803 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.803 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.803 * [taylor]: Taking taylor expansion of -1 in x 0.803 * [taylor]: Taking taylor expansion of x in x 0.816 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.816 * [approximate]: Taking taylor expansion of (/ (sin (* 0.5 x)) (sin x)) in (x) around 0 0.816 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 x)) (sin x)) in x 0.816 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.816 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.816 * [taylor]: Taking taylor expansion of 0.5 in x 0.816 * [taylor]: Taking taylor expansion of x in x 0.817 * [taylor]: Taking taylor expansion of (sin x) in x 0.817 * [taylor]: Taking taylor expansion of x in x 0.820 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 x)) (sin x)) in x 0.820 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.820 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.820 * [taylor]: Taking taylor expansion of 0.5 in x 0.820 * [taylor]: Taking taylor expansion of x in x 0.821 * [taylor]: Taking taylor expansion of (sin x) in x 0.821 * [taylor]: Taking taylor expansion of x in x 0.853 * [approximate]: Taking taylor expansion of (/ (sin (/ 0.5 x)) (sin (/ 1 x))) in (x) around 0 0.853 * [taylor]: Taking taylor expansion of (/ (sin (/ 0.5 x)) (sin (/ 1 x))) in x 0.853 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.853 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.853 * [taylor]: Taking taylor expansion of 0.5 in x 0.853 * [taylor]: Taking taylor expansion of x in x 0.854 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.854 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.854 * [taylor]: Taking taylor expansion of x in x 0.854 * [taylor]: Taking taylor expansion of (/ (sin (/ 0.5 x)) (sin (/ 1 x))) in x 0.854 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.854 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.854 * [taylor]: Taking taylor expansion of 0.5 in x 0.854 * [taylor]: Taking taylor expansion of x in x 0.854 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.854 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.854 * [taylor]: Taking taylor expansion of x in x 0.857 * [approximate]: Taking taylor expansion of (/ (sin (/ -0.5 x)) (sin (/ -1 x))) in (x) around 0 0.857 * [taylor]: Taking taylor expansion of (/ (sin (/ -0.5 x)) (sin (/ -1 x))) in x 0.857 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.857 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.857 * [taylor]: Taking taylor expansion of -0.5 in x 0.857 * [taylor]: Taking taylor expansion of x in x 0.857 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.857 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.857 * [taylor]: Taking taylor expansion of -1 in x 0.857 * [taylor]: Taking taylor expansion of x in x 0.858 * [taylor]: Taking taylor expansion of (/ (sin (/ -0.5 x)) (sin (/ -1 x))) in x 0.858 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.858 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.858 * [taylor]: Taking taylor expansion of -0.5 in x 0.858 * [taylor]: Taking taylor expansion of x in x 0.858 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.858 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.858 * [taylor]: Taking taylor expansion of -1 in x 0.858 * [taylor]: Taking taylor expansion of x in x 0.861 * * * [progress]: simplifying candidates 0.862 * [simplify]: Simplifying using # : (expm1 (* (/ 8.0 3.0) (sin (* x 0.5)))) (log1p (* (/ 8.0 3.0) (sin (* x 0.5)))) (* (/ 8.0 3.0) (sin (* x 0.5))) (+ (- (log 8.0) (log 3.0)) (log (sin (* x 0.5)))) (+ (log (/ 8.0 3.0)) (log (sin (* x 0.5)))) (log (* (/ 8.0 3.0) (sin (* x 0.5)))) (exp (* (/ 8.0 3.0) (sin (* x 0.5)))) (* (/ (* (* 8.0 8.0) 8.0) (* (* 3.0 3.0) 3.0)) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* (* (/ 8.0 3.0) (/ 8.0 3.0)) (/ 8.0 3.0)) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (cbrt (* (/ 8.0 3.0) (sin (* x 0.5)))) (cbrt (* (/ 8.0 3.0) (sin (* x 0.5))))) (cbrt (* (/ 8.0 3.0) (sin (* x 0.5)))) (* (* (* (/ 8.0 3.0) (sin (* x 0.5))) (* (/ 8.0 3.0) (sin (* x 0.5)))) (* (/ 8.0 3.0) (sin (* x 0.5)))) (sqrt (* (/ 8.0 3.0) (sin (* x 0.5)))) (sqrt (* (/ 8.0 3.0) (sin (* x 0.5)))) (* (sqrt (/ 8.0 3.0)) (sqrt (sin (* x 0.5)))) (* (sqrt (/ 8.0 3.0)) (sqrt (sin (* x 0.5)))) (* (/ (sqrt 8.0) (sqrt 3.0)) (sqrt (sin (* x 0.5)))) (* (/ (sqrt 8.0) (sqrt 3.0)) (sqrt (sin (* x 0.5)))) (* (/ 8.0 3.0) (* (cbrt (sin (* x 0.5))) (cbrt (sin (* x 0.5))))) (* (/ 8.0 3.0) (sqrt (sin (* x 0.5)))) (* (/ 8.0 3.0) 1) (* (cbrt (/ 8.0 3.0)) (sin (* x 0.5))) (* (sqrt (/ 8.0 3.0)) (sin (* x 0.5))) (* (/ (cbrt 8.0) (cbrt 3.0)) (sin (* x 0.5))) (* (/ (cbrt 8.0) (sqrt 3.0)) (sin (* x 0.5))) (* (/ (cbrt 8.0) 3.0) (sin (* x 0.5))) (* (/ (sqrt 8.0) (cbrt 3.0)) (sin (* x 0.5))) (* (/ (sqrt 8.0) (sqrt 3.0)) (sin (* x 0.5))) (* (/ (sqrt 8.0) 3.0) (sin (* x 0.5))) (* (/ 8.0 (cbrt 3.0)) (sin (* x 0.5))) (* (/ 8.0 (sqrt 3.0)) (sin (* x 0.5))) (* (/ 8.0 3.0) (sin (* x 0.5))) (* (/ 8.0 3.0) (sin (* x 0.5))) (* (/ 1 3.0) (sin (* x 0.5))) (* 8.0 (sin (* x 0.5))) (expm1 (* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))) (log1p (* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))) (* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x))) (* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x))) (+ (+ (- (log 8.0) (log 3.0)) (log (sin (* x 0.5)))) (- (log (sin (* 0.5 x))) (log (sin x)))) (+ (+ (- (log 8.0) (log 3.0)) (log (sin (* x 0.5)))) (log (/ (sin (* 0.5 x)) (sin x)))) (+ (+ (log (/ 8.0 3.0)) (log (sin (* x 0.5)))) (- (log (sin (* 0.5 x))) (log (sin x)))) (+ (+ (log (/ 8.0 3.0)) (log (sin (* x 0.5)))) (log (/ 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(cbrt (sin x))) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (sqrt (sin x))) (/ (cbrt (sin (* 0.5 x))) (sqrt (sin x))) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) 1) (/ (cbrt (sin (* 0.5 x))) (sin x)) (/ (sqrt (sin (* 0.5 x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (sin (* 0.5 x))) (cbrt (sin x))) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x))) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x))) (/ (sqrt (sin (* 0.5 x))) 1) (/ (sqrt (sin (* 0.5 x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sin (* 0.5 x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (sin (* 0.5 x)) (sqrt (sin x))) (/ 1 1) (/ (sin (* 0.5 x)) (sin x)) (/ 1 (sin x)) (/ (sin x) (sin (* 0.5 x))) (/ (sin (* 0.5 x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sin (* 0.5 x)) (sqrt (sin x))) (/ (sin (* 0.5 x)) 1) (/ (sin x) (cbrt (sin (* 0.5 x)))) (/ (sin x) (sqrt (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 x))) (- (+ (* 1.3333333333333333 x) (* 0.0006944444444444444 (pow x 5))) (* 0.05555555555555555 (pow x 3))) (* 2.6666666666666665 (sin (* 0.5 x))) (* 2.6666666666666665 (sin (* 0.5 x))) (+ (* 0.05555555555555555 (pow x 3)) (+ (* 0.005555555555555554 (pow x 5)) (* 0.6666666666666666 x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (+ (* 0.0625 (pow x 2)) (+ (* 0.006510416666666666 (pow x 4)) 0.5)) (/ (sin (* 0.5 x)) (sin x)) (/ (sin (* 0.5 x)) (sin x)) 0.869 * * [simplify]: iteration 0 : 474 enodes (cost 1006 ) 0.880 * * [simplify]: iteration 1 : 2505 enodes (cost 814 ) 0.922 * * [simplify]: iteration 2 : 5001 enodes (cost 799 ) 0.926 * [simplify]: Simplified to: (expm1 (* (/ 8.0 3.0) (sin (* x 0.5)))) (log1p (* (/ 8.0 3.0) (sin (* x 0.5)))) (* (/ 8.0 3.0) (sin (* x 0.5))) (log (* (/ 8.0 3.0) (sin (* x 0.5)))) (log (* (/ 8.0 3.0) (sin (* x 0.5)))) (log (* (/ 8.0 3.0) (sin (* x 0.5)))) (exp (* (/ 8.0 3.0) (sin (* x 0.5)))) (pow (* (/ 8.0 3.0) (sin (* x 0.5))) 3) (pow (* (/ 8.0 3.0) (sin (* x 0.5))) 3) (* (cbrt (* (/ 8.0 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x)))) (cbrt (/ (sin (* 0.5 x)) (sin x))) (pow (/ (sin (* 0.5 x)) (sin x)) 3) (sqrt (/ (sin (* 0.5 x)) (sin x))) (sqrt (/ (sin (* 0.5 x)) (sin x))) (- (sin (* 0.5 x))) (- (sin x)) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt (sin (* 0.5 x))) (cbrt (sin x))) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (sqrt (sin x))) (/ (cbrt (sin (* 0.5 x))) (sqrt (sin x))) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (/ (cbrt (sin (* 0.5 x))) (sin x)) (/ (sqrt (sin (* 0.5 x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (sin (* 0.5 x))) (cbrt (sin x))) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x))) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x))) (sqrt (sin (* 0.5 x))) (/ (sqrt (sin (* 0.5 x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sin (* 0.5 x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (sin (* 0.5 x)) (sqrt (sin x))) 1 (/ (sin (* 0.5 x)) (sin x)) (/ 1 (sin x)) (/ (sin x) (sin (* 0.5 x))) (/ (sin (* 0.5 x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sin (* 0.5 x)) (sqrt (sin x))) (sin (* 0.5 x)) (/ (sin x) (cbrt (sin (* 0.5 x)))) (/ (sin x) (sqrt (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 x))) (fma x 1.3333333333333333 (- (* 0.0006944444444444444 (pow x 5)) (* 0.05555555555555555 (pow x 3)))) (* 2.6666666666666665 (sin (* 0.5 x))) (* 2.6666666666666665 (sin (* 0.5 x))) (fma 0.05555555555555555 (pow x 3) (fma 0.005555555555555554 (pow x 5) (* 0.6666666666666666 x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (fma 0.0625 (pow x 2) (fma 0.006510416666666666 (pow x 4) 0.5)) (/ (sin (* 0.5 x)) (sin x)) (/ (sin (* 0.5 x)) (sin x)) 0.926 * * * [progress]: adding candidates to table 1.210 * * [progress]: iteration 3 / 4 1.210 * * * [progress]: picking best candidate 1.242 * * * * [pick]: Picked # 1.242 * * * [progress]: localizing error 1.253 * * * [progress]: generating rewritten candidates 1.253 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 1.270 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 1.274 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 2) 1.281 * * * [progress]: generating series expansions 1.281 * * * * [progress]: [ 1 / 3 ] generating series at (2) 1.281 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in (x) around 0 1.281 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 1.281 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.281 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 1.281 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 1.281 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.281 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.281 * [taylor]: Taking taylor expansion of 0.5 in x 1.281 * [taylor]: Taking taylor expansion of x in x 1.284 * [taylor]: Taking taylor expansion of (sin x) in x 1.284 * [taylor]: Taking taylor expansion of x in x 1.285 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 1.285 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.285 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 1.285 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 1.285 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.285 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.285 * [taylor]: Taking taylor expansion of 0.5 in x 1.285 * [taylor]: Taking taylor expansion of x in x 1.288 * [taylor]: Taking taylor expansion of (sin x) in x 1.288 * [taylor]: Taking taylor expansion of x in x 1.330 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in (x) around 0 1.330 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 1.330 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.330 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 1.330 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 1.330 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.330 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.330 * [taylor]: Taking taylor expansion of 0.5 in x 1.330 * [taylor]: Taking taylor expansion of x in x 1.331 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.331 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.331 * [taylor]: Taking taylor expansion of x in x 1.331 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 1.331 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.331 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 1.331 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 1.331 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.331 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.331 * [taylor]: Taking taylor expansion of 0.5 in x 1.331 * [taylor]: Taking taylor expansion of x in x 1.332 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.332 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.332 * [taylor]: Taking taylor expansion of x in x 1.345 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in (x) around 0 1.345 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 1.345 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.345 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 1.345 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 1.345 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.345 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.345 * [taylor]: Taking taylor expansion of -0.5 in x 1.345 * [taylor]: Taking taylor expansion of x in x 1.346 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.346 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.346 * [taylor]: Taking taylor expansion of -1 in x 1.346 * [taylor]: Taking taylor expansion of x in x 1.346 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 1.346 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.346 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 1.346 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 1.346 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.346 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.346 * [taylor]: Taking taylor expansion of -0.5 in x 1.346 * [taylor]: Taking taylor expansion of x in x 1.347 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.347 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.347 * [taylor]: Taking taylor expansion of -1 in x 1.347 * [taylor]: Taking taylor expansion of x in x 1.360 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 1.360 * [approximate]: Taking taylor expansion of (/ (sin (* 0.5 x)) (sin x)) in (x) around 0 1.360 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 x)) (sin x)) in x 1.360 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.360 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.360 * [taylor]: Taking taylor expansion of 0.5 in x 1.360 * [taylor]: Taking taylor expansion of x in x 1.361 * [taylor]: Taking taylor expansion of (sin x) in x 1.361 * [taylor]: Taking taylor expansion of x in x 1.363 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 x)) (sin x)) in x 1.363 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.363 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.363 * [taylor]: Taking taylor expansion of 0.5 in x 1.363 * [taylor]: Taking taylor expansion of x in x 1.365 * [taylor]: Taking taylor expansion of (sin x) in x 1.365 * [taylor]: Taking taylor expansion of x in x 1.396 * [approximate]: Taking taylor expansion of (/ (sin (/ 0.5 x)) (sin (/ 1 x))) in (x) around 0 1.396 * [taylor]: Taking taylor expansion of (/ (sin (/ 0.5 x)) (sin (/ 1 x))) in x 1.396 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.396 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.396 * [taylor]: Taking taylor expansion of 0.5 in x 1.396 * [taylor]: Taking taylor expansion of x in x 1.396 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.396 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.396 * [taylor]: Taking taylor expansion of x in x 1.397 * [taylor]: Taking taylor expansion of (/ (sin (/ 0.5 x)) (sin (/ 1 x))) in x 1.397 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.397 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.397 * [taylor]: Taking taylor expansion of 0.5 in x 1.397 * [taylor]: Taking taylor expansion of x in x 1.397 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.397 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.397 * [taylor]: Taking taylor expansion of x in x 1.399 * [approximate]: Taking taylor expansion of (/ (sin (/ -0.5 x)) (sin (/ -1 x))) in (x) around 0 1.399 * [taylor]: Taking taylor expansion of (/ (sin (/ -0.5 x)) (sin (/ -1 x))) in x 1.399 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.400 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.400 * [taylor]: Taking taylor expansion of -0.5 in x 1.400 * [taylor]: Taking taylor expansion of x in x 1.400 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.400 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.400 * [taylor]: Taking taylor expansion of -1 in x 1.400 * [taylor]: Taking taylor expansion of x in x 1.400 * [taylor]: Taking taylor expansion of (/ (sin (/ -0.5 x)) (sin (/ -1 x))) in x 1.400 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.401 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.401 * [taylor]: Taking taylor expansion of -0.5 in x 1.401 * [taylor]: Taking taylor expansion of x in x 1.401 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.401 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.401 * [taylor]: Taking taylor expansion of -1 in x 1.401 * [taylor]: Taking taylor expansion of x in x 1.403 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 2) 1.403 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (sin (* 0.5 x))) in (x) around 0 1.403 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (* 0.5 x))) in x 1.403 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.403 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.403 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.403 * [taylor]: Taking taylor expansion of 0.5 in x 1.403 * [taylor]: Taking taylor expansion of x in x 1.405 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (* 0.5 x))) in x 1.405 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.405 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.405 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.405 * [taylor]: Taking taylor expansion of 0.5 in x 1.405 * [taylor]: Taking taylor expansion of x in x 1.425 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ 0.5 x))) in (x) around 0 1.425 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ 0.5 x))) in x 1.425 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.425 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.426 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.426 * [taylor]: Taking taylor expansion of 0.5 in x 1.426 * [taylor]: Taking taylor expansion of x in x 1.426 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ 0.5 x))) in x 1.426 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.426 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.426 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.426 * [taylor]: Taking taylor expansion of 0.5 in x 1.426 * [taylor]: Taking taylor expansion of x in x 1.432 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ -0.5 x))) in (x) around 0 1.432 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ -0.5 x))) in x 1.432 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.432 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.432 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.432 * [taylor]: Taking taylor expansion of -0.5 in x 1.432 * [taylor]: Taking taylor expansion of x in x 1.432 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ -0.5 x))) in x 1.432 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.432 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.432 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.432 * [taylor]: Taking taylor expansion of -0.5 in x 1.432 * [taylor]: Taking taylor expansion of x in x 1.438 * * * [progress]: simplifying candidates 1.440 * [simplify]: Simplifying using # : (expm1 (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))) (log1p (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x))) (+ (+ (log 8.0) (- (log (sin (* 0.5 x))) (log 3.0))) (- (log (sin (* 0.5 x))) (log (sin x)))) (+ (+ (log 8.0) (- (log (sin (* 0.5 x))) (log 3.0))) (log (/ (sin (* 0.5 x)) (sin x)))) (+ (+ (log 8.0) (log (/ (sin (* 0.5 x)) 3.0))) (- (log (sin (* 0.5 x))) (log (sin x)))) (+ (+ (log 8.0) (log (/ (sin (* 0.5 x)) 3.0))) (log (/ (sin (* 0.5 x)) (sin x)))) (+ (log (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (- (log (sin (* 0.5 x))) (log (sin x)))) (+ (log (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (log (/ (sin (* 0.5 x)) (sin x)))) (log (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))) (exp (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))) (* (* (* (* 8.0 8.0) 8.0) (/ (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x))) (* (* 3.0 3.0) 3.0))) (/ (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x))) (* (* (sin x) (sin x)) (sin x)))) (* (* (* (* 8.0 8.0) 8.0) (/ (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x))) (* (* 3.0 3.0) 3.0))) (* (* (/ (sin (* 0.5 x)) (sin x)) (/ (sin (* 0.5 x)) (sin x))) (/ (sin (* 0.5 x)) (sin x)))) (* (* (* (* 8.0 8.0) 8.0) (* (* (/ (sin (* 0.5 x)) 3.0) (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) 3.0))) (/ (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x))) (* (* (sin x) (sin x)) (sin x)))) (* (* (* (* 8.0 8.0) 8.0) (* (* (/ (sin (* 0.5 x)) 3.0) (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) 3.0))) (* (* (/ (sin (* 0.5 x)) (sin x)) (/ (sin (* 0.5 x)) (sin x))) (/ (sin (* 0.5 x)) (sin x)))) (* (* (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (/ (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x))) (* (* (sin x) (sin x)) (sin x)))) (* (* (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (* (* (/ (sin (* 0.5 x)) (sin x)) (/ (sin (* 0.5 x)) (sin x))) (/ (sin (* 0.5 x)) (sin x)))) (* (cbrt (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))) (cbrt (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x))))) (cbrt (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))) (* (* (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))) (sqrt (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))) (sqrt (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))) (* (* 8.0 (sin (* 0.5 x))) (sin (* 0.5 x))) (* 3.0 (sin x)) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (* (cbrt (/ (sin (* 0.5 x)) (sin x))) (cbrt (/ (sin (* 0.5 x)) (sin x))))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sqrt (/ (sin (* 0.5 x)) (sin x)))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (* (cbrt (sin x)) (cbrt (sin x))))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (sqrt (sin x)))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) 1)) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sqrt (sin (* 0.5 x))) (* (cbrt (sin x)) (cbrt (sin x))))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x)))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sqrt (sin (* 0.5 x))) 1)) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x))))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ 1 (sqrt (sin x)))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ 1 1)) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) 1) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin (* 0.5 x))) (* (/ (sin (* 0.5 x)) 3.0) (/ (sin (* 0.5 x)) (sin x))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin (* 0.5 x))) (* (* 8.0 (sin (* 0.5 x))) (/ (sin (* 0.5 x)) (sin x))) (expm1 (/ (sin (* 0.5 x)) (sin x))) (log1p (/ (sin (* 0.5 x)) (sin x))) (- (log (sin (* 0.5 x))) (log (sin x))) (log (/ (sin (* 0.5 x)) (sin x))) (exp (/ (sin (* 0.5 x)) (sin x))) (/ (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x))) (* (* (sin x) (sin x)) (sin x))) (* (cbrt (/ (sin (* 0.5 x)) (sin x))) (cbrt (/ (sin (* 0.5 x)) (sin x)))) (cbrt (/ (sin (* 0.5 x)) (sin x))) (* (* (/ (sin (* 0.5 x)) (sin x)) (/ (sin (* 0.5 x)) (sin x))) (/ (sin (* 0.5 x)) (sin x))) (sqrt (/ (sin (* 0.5 x)) (sin x))) (sqrt (/ (sin (* 0.5 x)) (sin x))) (- (sin (* 0.5 x))) (- (sin x)) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt (sin (* 0.5 x))) (cbrt (sin x))) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (sqrt (sin x))) (/ (cbrt (sin (* 0.5 x))) (sqrt (sin x))) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) 1) (/ (cbrt (sin (* 0.5 x))) (sin x)) (/ (sqrt (sin (* 0.5 x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (sin (* 0.5 x))) (cbrt (sin x))) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x))) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x))) (/ (sqrt (sin (* 0.5 x))) 1) (/ (sqrt (sin (* 0.5 x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sin (* 0.5 x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (sin (* 0.5 x)) (sqrt (sin x))) (/ 1 1) (/ (sin (* 0.5 x)) (sin x)) (/ 1 (sin x)) (/ (sin x) (sin (* 0.5 x))) (/ (sin (* 0.5 x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sin (* 0.5 x)) (sqrt (sin x))) (/ (sin (* 0.5 x)) 1) (/ (sin x) (cbrt (sin (* 0.5 x)))) (/ (sin x) (sqrt (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 x))) (expm1 (/ (sin (* 0.5 x)) 3.0)) (log1p (/ (sin (* 0.5 x)) 3.0)) (- (log (sin (* 0.5 x))) (log 3.0)) (log (/ (sin (* 0.5 x)) 3.0)) (exp (/ (sin (* 0.5 x)) 3.0)) (/ (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x))) (* (* 3.0 3.0) 3.0)) (* (cbrt (/ (sin (* 0.5 x)) 3.0)) (cbrt (/ (sin (* 0.5 x)) 3.0))) (cbrt (/ (sin (* 0.5 x)) 3.0)) (* (* (/ (sin (* 0.5 x)) 3.0) (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) 3.0)) (sqrt (/ (sin (* 0.5 x)) 3.0)) (sqrt (/ (sin (* 0.5 x)) 3.0)) (- (sin (* 0.5 x))) (- 3.0) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (* (cbrt 3.0) (cbrt 3.0))) (/ (cbrt (sin (* 0.5 x))) (cbrt 3.0)) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (sqrt 3.0)) (/ (cbrt (sin (* 0.5 x))) (sqrt 3.0)) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) 1) (/ (cbrt (sin (* 0.5 x))) 3.0) (/ (sqrt (sin (* 0.5 x))) (* (cbrt 3.0) (cbrt 3.0))) (/ (sqrt (sin (* 0.5 x))) (cbrt 3.0)) (/ (sqrt (sin (* 0.5 x))) (sqrt 3.0)) (/ (sqrt (sin (* 0.5 x))) (sqrt 3.0)) (/ (sqrt (sin (* 0.5 x))) 1) (/ (sqrt (sin (* 0.5 x))) 3.0) (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (sin (* 0.5 x)) (cbrt 3.0)) (/ 1 (sqrt 3.0)) (/ (sin (* 0.5 x)) (sqrt 3.0)) (/ 1 1) (/ (sin (* 0.5 x)) 3.0) (/ 1 3.0) (/ 3.0 (sin (* 0.5 x))) (/ (sin (* 0.5 x)) (* (cbrt 3.0) (cbrt 3.0))) (/ (sin (* 0.5 x)) (sqrt 3.0)) (/ (sin (* 0.5 x)) 1) (/ 3.0 (cbrt (sin (* 0.5 x)))) (/ 3.0 (sqrt (sin (* 0.5 x)))) (/ 3.0 (sin (* 0.5 x))) (+ (* 0.05555555555555555 (pow x 3)) (+ (* 0.005555555555555554 (pow x 5)) (* 0.6666666666666666 x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (+ (* 0.0625 (pow x 2)) (+ (* 0.006510416666666666 (pow x 4)) 0.5)) (/ (sin (* 0.5 x)) (sin x)) (/ (sin (* 0.5 x)) (sin x)) (- (+ (* 0.16666666666666666 x) (* 8.680555555555555e-05 (pow x 5))) (* 0.006944444444444444 (pow x 3))) (* 0.3333333333333333 (sin (* 0.5 x))) (* 0.3333333333333333 (sin (* 0.5 x))) 1.447 * * [simplify]: iteration 0 : 437 enodes (cost 968 ) 1.456 * * [simplify]: iteration 1 : 2144 enodes (cost 808 ) 1.493 * * [simplify]: iteration 2 : 5001 enodes (cost 786 ) 1.497 * [simplify]: Simplified to: (expm1 (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))) (log1p (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))) (/ (/ (* 8.0 (pow (sin (* 0.5 x)) 2)) (sin x)) 3.0) (/ (/ (* 8.0 (pow (sin (* 0.5 x)) 2)) (sin x)) 3.0) (- (log (/ (* 8.0 (pow (sin (* 0.5 x)) 2)) (sin x))) (log 3.0)) (- (log (/ (* 8.0 (pow (sin (* 0.5 x)) 2)) (sin x))) (log 3.0)) (- (log (/ (* 8.0 (pow (sin (* 0.5 x)) 2)) (sin x))) (log 3.0)) (- (log (/ (* 8.0 (pow (sin (* 0.5 x)) 2)) (sin x))) (log 3.0)) (- (log (/ (* 8.0 (pow (sin (* 0.5 x)) 2)) (sin x))) (log 3.0)) (- (log (/ (* 8.0 (pow (sin (* 0.5 x)) 2)) (sin x))) (log 3.0)) (- (log (/ (* 8.0 (pow (sin (* 0.5 x)) 2)) (sin x))) (log 3.0)) (pow (exp 1) (/ (/ (* 8.0 (pow (sin (* 0.5 x)) 2)) (sin x)) 3.0)) (pow (/ (/ (* 8.0 (pow (sin (* 0.5 x)) 2)) (sin x)) 3.0) 3) (pow (/ (/ (* 8.0 (pow (sin (* 0.5 x)) 2)) (sin x)) 3.0) 3) (pow (/ (/ (* 8.0 (pow (sin (* 0.5 x)) 2)) (sin x)) 3.0) 3) (pow (/ (/ (* 8.0 (pow (sin (* 0.5 x)) 2)) (sin x)) 3.0) 3) (pow (/ (/ (* 8.0 (pow (sin (* 0.5 x)) 2)) (sin x)) 3.0) 3) (pow (/ (/ (* 8.0 (pow (sin (* 0.5 x)) 2)) (sin x)) 3.0) 3) (* (cbrt (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))) (cbrt (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x))))) (cbrt (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))) (pow (/ (/ (* 8.0 (pow (sin (* 0.5 x)) 2)) (sin x)) 3.0) 3) (sqrt (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))) (sqrt (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))) (* 8.0 (pow (sin (* 0.5 x)) 2)) (* 3.0 (sin x)) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (* (cbrt (/ (sin (* 0.5 x)) (sin x))) (cbrt (/ (sin (* 0.5 x)) (sin x))))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sqrt (/ (sin (* 0.5 x)) (sin x)))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (* (cbrt (sin x)) (cbrt (sin x))))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (sqrt (sin x)))) (* 8.0 (* (/ (sin (* 0.5 x)) 3.0) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sqrt (sin (* 0.5 x))) (* (cbrt (sin x)) (cbrt (sin x))))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x)))) (* 8.0 (* (/ (sin (* 0.5 x)) 3.0) (sqrt (sin (* 0.5 x))))) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sqrt (sin x))) (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (* (/ (pow (sin (* 0.5 x)) 2) 3.0) 8.0) (* (/ (sin (* 0.5 x)) 3.0) (/ (sin (* 0.5 x)) (sin x))) (* (/ (pow (sin (* 0.5 x)) 2) 3.0) 8.0) (/ (* 8.0 (pow (sin (* 0.5 x)) 2)) (sin x)) (expm1 (/ (sin (* 0.5 x)) (sin x))) (log1p (/ (sin (* 0.5 x)) (sin x))) (log (/ (sin (* 0.5 x)) (sin x))) (log (/ (sin (* 0.5 x)) (sin x))) (exp (/ (sin (* 0.5 x)) (sin x))) (pow (/ (sin (* 0.5 x)) (sin x)) 3) (* (cbrt (/ (sin (* 0.5 x)) (sin x))) (cbrt (/ (sin (* 0.5 x)) (sin x)))) (cbrt (/ (sin (* 0.5 x)) (sin x))) (pow (/ (sin (* 0.5 x)) (sin x)) 3) (sqrt (/ (sin (* 0.5 x)) (sin x))) (sqrt (/ (sin (* 0.5 x)) (sin x))) (- (sin (* 0.5 x))) (- (sin x)) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt (sin (* 0.5 x))) (cbrt (sin x))) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (sqrt (sin x))) (/ (cbrt (sin (* 0.5 x))) (sqrt (sin x))) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (/ (cbrt (sin (* 0.5 x))) (sin x)) (/ (sqrt (sin (* 0.5 x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (sin (* 0.5 x))) (cbrt (sin x))) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x))) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x))) (sqrt (sin (* 0.5 x))) (/ (sqrt (sin (* 0.5 x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sin (* 0.5 x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (sin (* 0.5 x)) (sqrt (sin x))) 1 (/ (sin (* 0.5 x)) (sin x)) (/ 1 (sin x)) (/ (sin x) (sin (* 0.5 x))) (/ (sin (* 0.5 x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sin (* 0.5 x)) (sqrt (sin x))) (sin (* 0.5 x)) (/ (sin x) (cbrt (sin (* 0.5 x)))) (/ (sin x) (sqrt (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 x))) (expm1 (/ (sin (* 0.5 x)) 3.0)) (log1p (/ (sin (* 0.5 x)) 3.0)) (log (/ (sin (* 0.5 x)) 3.0)) (log (/ (sin (* 0.5 x)) 3.0)) (exp (/ (sin (* 0.5 x)) 3.0)) (pow (/ (sin (* 0.5 x)) 3.0) 3) (* (cbrt (/ (sin (* 0.5 x)) 3.0)) (cbrt (/ (sin (* 0.5 x)) 3.0))) (cbrt (/ (sin (* 0.5 x)) 3.0)) (pow (/ (sin (* 0.5 x)) 3.0) 3) (sqrt (/ (sin (* 0.5 x)) 3.0)) (sqrt (/ (sin (* 0.5 x)) 3.0)) (- (sin (* 0.5 x))) (- 3.0) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (* (cbrt 3.0) (cbrt 3.0))) (/ (cbrt (sin (* 0.5 x))) (cbrt 3.0)) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (sqrt 3.0)) (/ (cbrt (sin (* 0.5 x))) (sqrt 3.0)) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (/ (cbrt (sin (* 0.5 x))) 3.0) (/ (sqrt (sin (* 0.5 x))) (* (cbrt 3.0) (cbrt 3.0))) (/ (sqrt (sin (* 0.5 x))) (cbrt 3.0)) (/ (sqrt (sin (* 0.5 x))) (sqrt 3.0)) (/ (sqrt (sin (* 0.5 x))) (sqrt 3.0)) (sqrt (sin (* 0.5 x))) (/ (sqrt (sin (* 0.5 x))) 3.0) (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (sin (* 0.5 x)) (cbrt 3.0)) (/ 1 (sqrt 3.0)) (/ (sin (* 0.5 x)) (sqrt 3.0)) 1 (/ (sin (* 0.5 x)) 3.0) (/ 1 3.0) (/ 3.0 (sin (* 0.5 x))) (/ (sin (* 0.5 x)) (* (cbrt 3.0) (cbrt 3.0))) (/ (sin (* 0.5 x)) (sqrt 3.0)) (sin (* 0.5 x)) (/ 3.0 (cbrt (sin (* 0.5 x)))) (/ 3.0 (sqrt (sin (* 0.5 x)))) (/ 3.0 (sin (* 0.5 x))) (fma 0.05555555555555555 (pow x 3) (fma 0.005555555555555554 (pow x 5) (* 0.6666666666666666 x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (fma 0.0625 (pow x 2) (fma 0.006510416666666666 (pow x 4) 0.5)) (/ (sin (* 0.5 x)) (sin x)) (/ (sin (* 0.5 x)) (sin x)) (fma x 0.16666666666666666 (- (* 8.680555555555555e-05 (pow x 5)) (* 0.006944444444444444 (pow x 3)))) (* 0.3333333333333333 (sin (* 0.5 x))) (* 0.3333333333333333 (sin (* 0.5 x))) 1.498 * * * [progress]: adding candidates to table 1.748 * * [progress]: iteration 4 / 4 1.748 * * * [progress]: picking best candidate 1.774 * * * * [pick]: Picked # 1.774 * * * [progress]: localizing error 1.789 * * * [progress]: generating rewritten candidates 1.789 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 1.789 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.802 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.802 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 1.808 * * * [progress]: generating series expansions 1.808 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 1.808 * [approximate]: Taking taylor expansion of (expm1 (/ (sin (* 0.5 x)) (sin x))) in (x) around 0 1.808 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (* 0.5 x)) (sin x))) in x 1.808 * [taylor]: Rewrote expression to (- (exp (/ (sin (* 0.5 x)) (sin x))) 1) 1.808 * [taylor]: Taking taylor expansion of (exp (/ (sin (* 0.5 x)) (sin x))) in x 1.808 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 x)) (sin x)) in x 1.808 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.808 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.808 * [taylor]: Taking taylor expansion of 0.5 in x 1.808 * [taylor]: Taking taylor expansion of x in x 1.810 * [taylor]: Taking taylor expansion of (sin x) in x 1.810 * [taylor]: Taking taylor expansion of x in x 1.812 * [taylor]: Taking taylor expansion of 1 in x 1.812 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (* 0.5 x)) (sin x))) in x 1.812 * [taylor]: Rewrote expression to (- (exp (/ (sin (* 0.5 x)) (sin x))) 1) 1.812 * [taylor]: Taking taylor expansion of (exp (/ (sin (* 0.5 x)) (sin x))) in x 1.812 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 x)) (sin x)) in x 1.812 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.812 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.812 * [taylor]: Taking taylor expansion of 0.5 in x 1.812 * [taylor]: Taking taylor expansion of x in x 1.814 * [taylor]: Taking taylor expansion of (sin x) in x 1.814 * [taylor]: Taking taylor expansion of x in x 1.816 * [taylor]: Taking taylor expansion of 1 in x 1.866 * [approximate]: Taking taylor expansion of (expm1 (/ (sin (/ 0.5 x)) (sin (/ 1 x)))) in (x) around 0 1.866 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (/ 0.5 x)) (sin (/ 1 x)))) in x 1.866 * [taylor]: Rewrote expression to (- (exp (/ (sin (/ 0.5 x)) (sin (/ 1 x)))) 1) 1.866 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ 0.5 x)) (sin (/ 1 x)))) in x 1.866 * [taylor]: Taking taylor expansion of (/ (sin (/ 0.5 x)) (sin (/ 1 x))) in x 1.866 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.866 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.866 * [taylor]: Taking taylor expansion of 0.5 in x 1.866 * [taylor]: Taking taylor expansion of x in x 1.866 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.866 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.866 * [taylor]: Taking taylor expansion of x in x 1.867 * [taylor]: Taking taylor expansion of 1 in x 1.867 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (/ 0.5 x)) (sin (/ 1 x)))) in x 1.867 * [taylor]: Rewrote expression to (- (exp (/ (sin (/ 0.5 x)) (sin (/ 1 x)))) 1) 1.867 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ 0.5 x)) (sin (/ 1 x)))) in x 1.867 * [taylor]: Taking taylor expansion of (/ (sin (/ 0.5 x)) (sin (/ 1 x))) in x 1.867 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.867 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.867 * [taylor]: Taking taylor expansion of 0.5 in x 1.867 * [taylor]: Taking taylor expansion of x in x 1.867 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.867 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.867 * [taylor]: Taking taylor expansion of x in x 1.868 * [taylor]: Taking taylor expansion of 1 in x 1.882 * [approximate]: Taking taylor expansion of (expm1 (/ (sin (/ -0.5 x)) (sin (/ -1 x)))) in (x) around 0 1.882 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (/ -0.5 x)) (sin (/ -1 x)))) in x 1.882 * [taylor]: Rewrote expression to (- (exp (/ (sin (/ -0.5 x)) (sin (/ -1 x)))) 1) 1.882 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ -0.5 x)) (sin (/ -1 x)))) in x 1.882 * [taylor]: Taking taylor expansion of (/ (sin (/ -0.5 x)) (sin (/ -1 x))) in x 1.882 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.882 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.882 * [taylor]: Taking taylor expansion of -0.5 in x 1.882 * [taylor]: Taking taylor expansion of x in x 1.882 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.882 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.882 * [taylor]: Taking taylor expansion of -1 in x 1.882 * [taylor]: Taking taylor expansion of x in x 1.883 * [taylor]: Taking taylor expansion of 1 in x 1.883 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (/ -0.5 x)) (sin (/ -1 x)))) in x 1.883 * [taylor]: Rewrote expression to (- (exp (/ (sin (/ -0.5 x)) (sin (/ -1 x)))) 1) 1.883 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ -0.5 x)) (sin (/ -1 x)))) in x 1.883 * [taylor]: Taking taylor expansion of (/ (sin (/ -0.5 x)) (sin (/ -1 x))) in x 1.883 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.883 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.883 * [taylor]: Taking taylor expansion of -0.5 in x 1.883 * [taylor]: Taking taylor expansion of x in x 1.883 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.883 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.883 * [taylor]: Taking taylor expansion of -1 in x 1.883 * [taylor]: Taking taylor expansion of x in x 1.884 * [taylor]: Taking taylor expansion of 1 in x 1.898 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.898 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (* (sin (* 0.5 x)) (log1p (expm1 (/ (sin (* 0.5 x)) (sin x)))))) in (x) around 0 1.898 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (* (sin (* 0.5 x)) (log1p (expm1 (/ (sin (* 0.5 x)) (sin x)))))) in x 1.898 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.898 * [taylor]: Taking taylor expansion of (* (sin (* 0.5 x)) (log1p (expm1 (/ (sin (* 0.5 x)) (sin x))))) 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 1.899 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (sin (* 0.5 x)) (sin x)))) in x 1.899 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (sin (* 0.5 x)) (sin x))))) 1.899 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (sin (* 0.5 x)) (sin x)))) in x 1.899 * [taylor]: Taking taylor expansion of 1 in x 1.899 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (* 0.5 x)) (sin x))) in x 1.900 * [taylor]: Rewrote expression to (- (exp (/ (sin (* 0.5 x)) (sin x))) 1) 1.900 * [taylor]: Taking taylor expansion of (exp (/ (sin (* 0.5 x)) (sin x))) in x 1.900 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 x)) (sin x)) in x 1.900 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.900 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.900 * [taylor]: Taking taylor expansion of 0.5 in x 1.900 * [taylor]: Taking taylor expansion of x in x 1.901 * [taylor]: Taking taylor expansion of (sin x) in x 1.901 * [taylor]: Taking taylor expansion of x in x 1.903 * [taylor]: Taking taylor expansion of 1 in x 1.906 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (* (sin (* 0.5 x)) (log1p (expm1 (/ (sin (* 0.5 x)) (sin x)))))) in x 1.906 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.906 * [taylor]: Taking taylor expansion of (* (sin (* 0.5 x)) (log1p (expm1 (/ (sin (* 0.5 x)) (sin x))))) in x 1.906 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.906 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.906 * [taylor]: Taking taylor expansion of 0.5 in x 1.906 * [taylor]: Taking taylor expansion of x in x 1.907 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (sin (* 0.5 x)) (sin x)))) in x 1.907 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (sin (* 0.5 x)) (sin x))))) 1.907 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (sin (* 0.5 x)) (sin x)))) in x 1.907 * [taylor]: Taking taylor expansion of 1 in x 1.907 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (* 0.5 x)) (sin x))) in x 1.907 * [taylor]: Rewrote expression to (- (exp (/ (sin (* 0.5 x)) (sin x))) 1) 1.907 * [taylor]: Taking taylor expansion of (exp (/ (sin (* 0.5 x)) (sin x))) in x 1.907 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 x)) (sin x)) in x 1.907 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.907 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.907 * [taylor]: Taking taylor expansion of 0.5 in x 1.907 * [taylor]: Taking taylor expansion of x in x 1.908 * [taylor]: Taking taylor expansion of (sin x) in x 1.909 * [taylor]: Taking taylor expansion of x in x 1.911 * [taylor]: Taking taylor expansion of 1 in x 2.054 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (* (log1p (expm1 (/ (sin (/ 0.5 x)) (sin (/ 1 x))))) (sin (/ 0.5 x)))) in (x) around 0 2.054 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (* (log1p (expm1 (/ (sin (/ 0.5 x)) (sin (/ 1 x))))) (sin (/ 0.5 x)))) in x 2.054 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 2.054 * [taylor]: Taking taylor expansion of (* (log1p (expm1 (/ (sin (/ 0.5 x)) (sin (/ 1 x))))) (sin (/ 0.5 x))) in x 2.054 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (sin (/ 0.5 x)) (sin (/ 1 x))))) in x 2.054 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (sin (/ 0.5 x)) (sin (/ 1 x)))))) 2.054 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (sin (/ 0.5 x)) (sin (/ 1 x))))) in x 2.055 * [taylor]: Taking taylor expansion of 1 in x 2.055 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (/ 0.5 x)) (sin (/ 1 x)))) in x 2.055 * [taylor]: Rewrote expression to (- (exp (/ (sin (/ 0.5 x)) (sin (/ 1 x)))) 1) 2.055 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ 0.5 x)) (sin (/ 1 x)))) in x 2.055 * [taylor]: Taking taylor expansion of (/ (sin (/ 0.5 x)) (sin (/ 1 x))) in x 2.055 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.055 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.055 * [taylor]: Taking taylor expansion of 0.5 in x 2.055 * [taylor]: Taking taylor expansion of x in x 2.055 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.055 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.055 * [taylor]: Taking taylor expansion of x in x 2.056 * [taylor]: Taking taylor expansion of 1 in x 2.056 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.056 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.056 * [taylor]: Taking taylor expansion of 0.5 in x 2.056 * [taylor]: Taking taylor expansion of x in x 2.057 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (* (log1p (expm1 (/ (sin (/ 0.5 x)) (sin (/ 1 x))))) (sin (/ 0.5 x)))) in x 2.057 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 2.057 * [taylor]: Taking taylor expansion of (* (log1p (expm1 (/ (sin (/ 0.5 x)) (sin (/ 1 x))))) (sin (/ 0.5 x))) in x 2.057 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (sin (/ 0.5 x)) (sin (/ 1 x))))) in x 2.057 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (sin (/ 0.5 x)) (sin (/ 1 x)))))) 2.057 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (sin (/ 0.5 x)) (sin (/ 1 x))))) in x 2.057 * [taylor]: Taking taylor expansion of 1 in x 2.057 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (/ 0.5 x)) (sin (/ 1 x)))) in x 2.057 * [taylor]: Rewrote expression to (- (exp (/ (sin (/ 0.5 x)) (sin (/ 1 x)))) 1) 2.057 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ 0.5 x)) (sin (/ 1 x)))) in x 2.057 * [taylor]: Taking taylor expansion of (/ (sin (/ 0.5 x)) (sin (/ 1 x))) in x 2.057 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.057 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.057 * [taylor]: Taking taylor expansion of 0.5 in x 2.057 * [taylor]: Taking taylor expansion of x in x 2.057 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.057 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.057 * [taylor]: Taking taylor expansion of x in x 2.058 * [taylor]: Taking taylor expansion of 1 in x 2.058 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.059 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.059 * [taylor]: Taking taylor expansion of 0.5 in x 2.059 * [taylor]: Taking taylor expansion of x in x 2.112 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (* (log1p (expm1 (/ (sin (/ -0.5 x)) (sin (/ -1 x))))) (sin (/ -0.5 x)))) in (x) around 0 2.112 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (* (log1p (expm1 (/ (sin (/ -0.5 x)) (sin (/ -1 x))))) (sin (/ -0.5 x)))) in x 2.112 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 2.112 * [taylor]: Taking taylor expansion of (* (log1p (expm1 (/ (sin (/ -0.5 x)) (sin (/ -1 x))))) (sin (/ -0.5 x))) in x 2.112 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (sin (/ -0.5 x)) (sin (/ -1 x))))) in x 2.112 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (sin (/ -0.5 x)) (sin (/ -1 x)))))) 2.112 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (sin (/ -0.5 x)) (sin (/ -1 x))))) in x 2.112 * [taylor]: Taking taylor expansion of 1 in x 2.112 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (/ -0.5 x)) (sin (/ -1 x)))) in x 2.112 * [taylor]: Rewrote expression to (- (exp (/ (sin (/ -0.5 x)) (sin (/ -1 x)))) 1) 2.112 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ -0.5 x)) (sin (/ -1 x)))) in x 2.112 * [taylor]: Taking taylor expansion of (/ (sin (/ -0.5 x)) (sin (/ -1 x))) in x 2.112 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.112 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.112 * [taylor]: Taking taylor expansion of -0.5 in x 2.112 * [taylor]: Taking taylor expansion of x in x 2.113 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.113 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.113 * [taylor]: Taking taylor expansion of -1 in x 2.113 * [taylor]: Taking taylor expansion of x in x 2.113 * [taylor]: Taking taylor expansion of 1 in x 2.114 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.114 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.114 * [taylor]: Taking taylor expansion of -0.5 in x 2.114 * [taylor]: Taking taylor expansion of x in x 2.114 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (* (log1p (expm1 (/ (sin (/ -0.5 x)) (sin (/ -1 x))))) (sin (/ -0.5 x)))) in x 2.114 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 2.114 * [taylor]: Taking taylor expansion of (* (log1p (expm1 (/ (sin (/ -0.5 x)) (sin (/ -1 x))))) (sin (/ -0.5 x))) in x 2.115 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (sin (/ -0.5 x)) (sin (/ -1 x))))) in x 2.115 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (sin (/ -0.5 x)) (sin (/ -1 x)))))) 2.115 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (sin (/ -0.5 x)) (sin (/ -1 x))))) in x 2.115 * [taylor]: Taking taylor expansion of 1 in x 2.115 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (/ -0.5 x)) (sin (/ -1 x)))) in x 2.115 * [taylor]: Rewrote expression to (- (exp (/ (sin (/ -0.5 x)) (sin (/ -1 x)))) 1) 2.115 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ -0.5 x)) (sin (/ -1 x)))) in x 2.115 * [taylor]: Taking taylor expansion of (/ (sin (/ -0.5 x)) (sin (/ -1 x))) in x 2.115 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.115 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.115 * [taylor]: Taking taylor expansion of -0.5 in x 2.115 * [taylor]: Taking taylor expansion of x in x 2.115 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.115 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.115 * [taylor]: Taking taylor expansion of -1 in x 2.115 * [taylor]: Taking taylor expansion of x in x 2.116 * [taylor]: Taking taylor expansion of 1 in x 2.117 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.117 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.117 * [taylor]: Taking taylor expansion of -0.5 in x 2.117 * [taylor]: Taking taylor expansion of x in x 2.164 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 2.164 * [approximate]: Taking taylor expansion of (log1p (expm1 (/ (sin (* 0.5 x)) (sin x)))) in (x) around 0 2.164 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (sin (* 0.5 x)) (sin x)))) in x 2.164 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (sin (* 0.5 x)) (sin x))))) 2.164 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (sin (* 0.5 x)) (sin x)))) in x 2.164 * [taylor]: Taking taylor expansion of 1 in x 2.164 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (* 0.5 x)) (sin x))) in x 2.164 * [taylor]: Rewrote expression to (- (exp (/ (sin (* 0.5 x)) (sin x))) 1) 2.164 * [taylor]: Taking taylor expansion of (exp (/ (sin (* 0.5 x)) (sin x))) in x 2.164 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 x)) (sin x)) in x 2.164 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 2.165 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 2.165 * [taylor]: Taking taylor expansion of 0.5 in x 2.165 * [taylor]: Taking taylor expansion of x in x 2.166 * [taylor]: Taking taylor expansion of (sin x) in x 2.166 * [taylor]: Taking taylor expansion of x in x 2.169 * [taylor]: Taking taylor expansion of 1 in x 2.171 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (sin (* 0.5 x)) (sin x)))) in x 2.171 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (sin (* 0.5 x)) (sin x))))) 2.171 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (sin (* 0.5 x)) (sin x)))) in x 2.171 * [taylor]: Taking taylor expansion of 1 in x 2.171 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (* 0.5 x)) (sin x))) in x 2.171 * [taylor]: Rewrote expression to (- (exp (/ (sin (* 0.5 x)) (sin x))) 1) 2.171 * [taylor]: Taking taylor expansion of (exp (/ (sin (* 0.5 x)) (sin x))) in x 2.171 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 x)) (sin x)) in x 2.171 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 2.171 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 2.171 * [taylor]: Taking taylor expansion of 0.5 in x 2.171 * [taylor]: Taking taylor expansion of x in x 2.173 * [taylor]: Taking taylor expansion of (sin x) in x 2.173 * [taylor]: Taking taylor expansion of x in x 2.175 * [taylor]: Taking taylor expansion of 1 in x 2.270 * [approximate]: Taking taylor expansion of (log1p (expm1 (/ (sin (/ 0.5 x)) (sin (/ 1 x))))) in (x) around 0 2.270 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (sin (/ 0.5 x)) (sin (/ 1 x))))) in x 2.270 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (sin (/ 0.5 x)) (sin (/ 1 x)))))) 2.270 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (sin (/ 0.5 x)) (sin (/ 1 x))))) in x 2.271 * [taylor]: Taking taylor expansion of 1 in x 2.271 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (/ 0.5 x)) (sin (/ 1 x)))) in x 2.271 * [taylor]: Rewrote expression to (- (exp (/ (sin (/ 0.5 x)) (sin (/ 1 x)))) 1) 2.271 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ 0.5 x)) (sin (/ 1 x)))) in x 2.271 * [taylor]: Taking taylor expansion of (/ (sin (/ 0.5 x)) (sin (/ 1 x))) in x 2.271 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.271 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.271 * [taylor]: Taking taylor expansion of 0.5 in x 2.271 * [taylor]: Taking taylor expansion of x in x 2.271 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.271 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.271 * [taylor]: Taking taylor expansion of x in x 2.272 * [taylor]: Taking taylor expansion of 1 in x 2.272 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (sin (/ 0.5 x)) (sin (/ 1 x))))) in x 2.272 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (sin (/ 0.5 x)) (sin (/ 1 x)))))) 2.272 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (sin (/ 0.5 x)) (sin (/ 1 x))))) in x 2.272 * [taylor]: Taking taylor expansion of 1 in x 2.272 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (/ 0.5 x)) (sin (/ 1 x)))) in x 2.272 * [taylor]: Rewrote expression to (- (exp (/ (sin (/ 0.5 x)) (sin (/ 1 x)))) 1) 2.272 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ 0.5 x)) (sin (/ 1 x)))) in x 2.272 * [taylor]: Taking taylor expansion of (/ (sin (/ 0.5 x)) (sin (/ 1 x))) in x 2.272 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.272 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.272 * [taylor]: Taking taylor expansion of 0.5 in x 2.273 * [taylor]: Taking taylor expansion of x in x 2.273 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.273 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.273 * [taylor]: Taking taylor expansion of x in x 2.273 * [taylor]: Taking taylor expansion of 1 in x 2.309 * [approximate]: Taking taylor expansion of (log1p (expm1 (/ (sin (/ -0.5 x)) (sin (/ -1 x))))) in (x) around 0 2.309 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (sin (/ -0.5 x)) (sin (/ -1 x))))) in x 2.309 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (sin (/ -0.5 x)) (sin (/ -1 x)))))) 2.309 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (sin (/ -0.5 x)) (sin (/ -1 x))))) in x 2.309 * [taylor]: Taking taylor expansion of 1 in x 2.309 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (/ -0.5 x)) (sin (/ -1 x)))) in x 2.309 * [taylor]: Rewrote expression to (- (exp (/ (sin (/ -0.5 x)) (sin (/ -1 x)))) 1) 2.309 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ -0.5 x)) (sin (/ -1 x)))) in x 2.309 * [taylor]: Taking taylor expansion of (/ (sin (/ -0.5 x)) (sin (/ -1 x))) in x 2.309 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.309 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.309 * [taylor]: Taking taylor expansion of -0.5 in x 2.309 * [taylor]: Taking taylor expansion of x in x 2.310 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.310 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.310 * [taylor]: Taking taylor expansion of -1 in x 2.310 * [taylor]: Taking taylor expansion of x in x 2.310 * [taylor]: Taking taylor expansion of 1 in x 2.311 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (sin (/ -0.5 x)) (sin (/ -1 x))))) in x 2.311 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (sin (/ -0.5 x)) (sin (/ -1 x)))))) 2.311 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (sin (/ -0.5 x)) (sin (/ -1 x))))) in x 2.311 * [taylor]: Taking taylor expansion of 1 in x 2.311 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (/ -0.5 x)) (sin (/ -1 x)))) in x 2.311 * [taylor]: Rewrote expression to (- (exp (/ (sin (/ -0.5 x)) (sin (/ -1 x)))) 1) 2.311 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ -0.5 x)) (sin (/ -1 x)))) in x 2.311 * [taylor]: Taking taylor expansion of (/ (sin (/ -0.5 x)) (sin (/ -1 x))) in x 2.311 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.311 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.311 * [taylor]: Taking taylor expansion of -0.5 in x 2.311 * [taylor]: Taking taylor expansion of x in x 2.312 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.312 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.312 * [taylor]: Taking taylor expansion of -1 in x 2.312 * [taylor]: Taking taylor expansion of x in x 2.312 * [taylor]: Taking taylor expansion of 1 in x 2.349 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 2.349 * [approximate]: Taking taylor expansion of (/ (sin (* 0.5 x)) (sin x)) in (x) around 0 2.349 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 x)) (sin x)) in x 2.349 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 2.349 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 2.349 * [taylor]: Taking taylor expansion of 0.5 in x 2.349 * [taylor]: Taking taylor expansion of x in x 2.350 * [taylor]: Taking taylor expansion of (sin x) in x 2.350 * [taylor]: Taking taylor expansion of x in x 2.358 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 x)) (sin x)) in x 2.358 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 2.358 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 2.358 * [taylor]: Taking taylor expansion of 0.5 in x 2.358 * [taylor]: Taking taylor expansion of x in x 2.359 * [taylor]: Taking taylor expansion of (sin x) in x 2.359 * [taylor]: Taking taylor expansion of x in x 2.385 * [approximate]: Taking taylor expansion of (/ (sin (/ 0.5 x)) (sin (/ 1 x))) in (x) around 0 2.385 * [taylor]: Taking taylor expansion of (/ (sin (/ 0.5 x)) (sin (/ 1 x))) in x 2.385 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.385 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.385 * [taylor]: Taking taylor expansion of 0.5 in x 2.385 * [taylor]: Taking taylor expansion of x in x 2.385 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.385 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.385 * [taylor]: Taking taylor expansion of x in x 2.385 * [taylor]: Taking taylor expansion of (/ (sin (/ 0.5 x)) (sin (/ 1 x))) in x 2.385 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.386 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.386 * [taylor]: Taking taylor expansion of 0.5 in x 2.386 * [taylor]: Taking taylor expansion of x in x 2.386 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.386 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.386 * [taylor]: Taking taylor expansion of x in x 2.388 * [approximate]: Taking taylor expansion of (/ (sin (/ -0.5 x)) (sin (/ -1 x))) in (x) around 0 2.388 * [taylor]: Taking taylor expansion of (/ (sin (/ -0.5 x)) (sin (/ -1 x))) in x 2.388 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.388 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.388 * [taylor]: Taking taylor expansion of -0.5 in x 2.388 * [taylor]: Taking taylor expansion of x in x 2.389 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.389 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.389 * [taylor]: Taking taylor expansion of -1 in x 2.389 * [taylor]: Taking taylor expansion of x in x 2.389 * [taylor]: Taking taylor expansion of (/ (sin (/ -0.5 x)) (sin (/ -1 x))) in x 2.389 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.389 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.389 * [taylor]: Taking taylor expansion of -0.5 in x 2.389 * [taylor]: Taking taylor expansion of x in x 2.390 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.390 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.390 * [taylor]: Taking taylor expansion of -1 in x 2.390 * [taylor]: Taking taylor expansion of x in x 2.392 * * * [progress]: simplifying candidates 2.393 * [simplify]: Simplifying using # : (exp (/ (sin (* 0.5 x)) (sin x))) (expm1 (expm1 (/ (sin (* 0.5 x)) (sin x)))) (log1p (expm1 (/ (sin (* 0.5 x)) (sin x)))) (log (expm1 (/ (sin (* 0.5 x)) (sin x)))) (exp (expm1 (/ (sin (* 0.5 x)) (sin x)))) (* (cbrt (expm1 (/ (sin (* 0.5 x)) (sin x)))) (cbrt (expm1 (/ (sin (* 0.5 x)) (sin x))))) (cbrt (expm1 (/ (sin (* 0.5 x)) (sin x)))) (* (* (expm1 (/ (sin (* 0.5 x)) (sin x))) (expm1 (/ (sin (* 0.5 x)) (sin x)))) (expm1 (/ (sin (* 0.5 x)) (sin x)))) (sqrt (expm1 (/ (sin (* 0.5 x)) (sin x)))) (sqrt (expm1 (/ (sin (* 0.5 x)) (sin x)))) (expm1 (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (log1p (expm1 (/ (sin (* 0.5 x)) (sin x)))))) (log1p (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (log1p (expm1 (/ (sin (* 0.5 x)) (sin x)))))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (log1p (expm1 (/ (sin (* 0.5 x)) (sin x))))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (log1p (expm1 (/ (sin (* 0.5 x)) (sin x))))) (+ (+ (log 8.0) (- (log (sin (* 0.5 x))) (log 3.0))) (log (log1p (expm1 (/ (sin (* 0.5 x)) (sin x)))))) (+ (+ (log 8.0) (log (/ (sin (* 0.5 x)) 3.0))) (log (log1p (expm1 (/ (sin (* 0.5 x)) (sin x)))))) (+ (log (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (log (log1p (expm1 (/ (sin (* 0.5 x)) (sin x)))))) (log (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (log1p (expm1 (/ (sin (* 0.5 x)) (sin x)))))) (exp (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (log1p (expm1 (/ (sin (* 0.5 x)) (sin x)))))) (* (* (* (* 8.0 8.0) 8.0) (/ (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x))) (* (* 3.0 3.0) 3.0))) (* (* (log1p (expm1 (/ (sin (* 0.5 x)) (sin x)))) (log1p (expm1 (/ (sin (* 0.5 x)) (sin x))))) (log1p (expm1 (/ (sin (* 0.5 x)) (sin x)))))) (* (* (* (* 8.0 8.0) 8.0) (* (* (/ (sin (* 0.5 x)) 3.0) (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) 3.0))) (* (* (log1p (expm1 (/ (sin (* 0.5 x)) (sin x)))) (log1p (expm1 (/ (sin (* 0.5 x)) (sin x))))) (log1p (expm1 (/ (sin (* 0.5 x)) (sin x)))))) (* (* (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (* (* (log1p (expm1 (/ (sin (* 0.5 x)) (sin x)))) (log1p (expm1 (/ (sin (* 0.5 x)) (sin x))))) (log1p (expm1 (/ (sin (* 0.5 x)) (sin x)))))) (* (cbrt (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (log1p (expm1 (/ (sin (* 0.5 x)) (sin x)))))) (cbrt (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (log1p (expm1 (/ (sin (* 0.5 x)) (sin x))))))) (cbrt (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (log1p (expm1 (/ (sin (* 0.5 x)) (sin x)))))) (* (* (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (log1p (expm1 (/ (sin (* 0.5 x)) (sin x))))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (log1p (expm1 (/ (sin (* 0.5 x)) (sin x)))))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (log1p (expm1 (/ (sin (* 0.5 x)) (sin x)))))) (sqrt (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (log1p (expm1 (/ (sin (* 0.5 x)) (sin x)))))) (sqrt (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (log1p (expm1 (/ (sin (* 0.5 x)) (sin x)))))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (* (cbrt (log1p (expm1 (/ (sin (* 0.5 x)) (sin x))))) (cbrt (log1p (expm1 (/ (sin (* 0.5 x)) (sin x))))))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sqrt (log1p (expm1 (/ (sin (* 0.5 x)) (sin x)))))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) 1) (* (/ (sin (* 0.5 x)) 3.0) (log1p (expm1 (/ (sin (* 0.5 x)) (sin x))))) (* (* 8.0 (sin (* 0.5 x))) (log1p (expm1 (/ (sin (* 0.5 x)) (sin x))))) (+ 1 (expm1 (/ (sin (* 0.5 x)) (sin x)))) (expm1 (log1p (expm1 (/ (sin (* 0.5 x)) (sin x))))) (log1p (log1p (expm1 (/ (sin (* 0.5 x)) (sin x))))) (log (log1p (expm1 (/ (sin (* 0.5 x)) (sin x))))) (exp (log1p (expm1 (/ (sin (* 0.5 x)) (sin x))))) (* (cbrt (log1p (expm1 (/ (sin (* 0.5 x)) (sin x))))) (cbrt (log1p (expm1 (/ (sin (* 0.5 x)) (sin x)))))) (cbrt (log1p (expm1 (/ (sin (* 0.5 x)) (sin x))))) (* (* (log1p (expm1 (/ (sin (* 0.5 x)) (sin x)))) (log1p (expm1 (/ (sin (* 0.5 x)) (sin x))))) (log1p (expm1 (/ (sin (* 0.5 x)) (sin x))))) (sqrt (log1p (expm1 (/ (sin (* 0.5 x)) (sin x))))) (sqrt (log1p (expm1 (/ (sin (* 0.5 x)) (sin x))))) (expm1 (/ (sin (* 0.5 x)) (sin x))) (log1p (/ (sin (* 0.5 x)) (sin x))) (- (log (sin (* 0.5 x))) (log (sin x))) (log (/ (sin (* 0.5 x)) (sin x))) (exp (/ (sin (* 0.5 x)) (sin x))) (/ (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x))) (* (* (sin x) (sin x)) (sin x))) (* (cbrt (/ (sin (* 0.5 x)) (sin x))) (cbrt (/ (sin (* 0.5 x)) (sin x)))) (cbrt (/ (sin (* 0.5 x)) (sin x))) (* (* (/ (sin (* 0.5 x)) (sin x)) (/ (sin (* 0.5 x)) (sin x))) (/ (sin (* 0.5 x)) (sin x))) (sqrt (/ (sin (* 0.5 x)) (sin x))) (sqrt (/ (sin (* 0.5 x)) (sin x))) (- (sin (* 0.5 x))) (- (sin x)) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt (sin (* 0.5 x))) (cbrt (sin x))) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (sqrt (sin x))) (/ (cbrt (sin (* 0.5 x))) (sqrt (sin x))) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) 1) (/ (cbrt (sin (* 0.5 x))) (sin x)) (/ (sqrt (sin (* 0.5 x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (sin (* 0.5 x))) (cbrt (sin x))) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x))) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x))) (/ (sqrt (sin (* 0.5 x))) 1) (/ (sqrt (sin (* 0.5 x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sin (* 0.5 x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (sin (* 0.5 x)) (sqrt (sin x))) (/ 1 1) (/ (sin (* 0.5 x)) (sin x)) (/ 1 (sin x)) (/ (sin x) (sin (* 0.5 x))) (/ (sin (* 0.5 x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sin (* 0.5 x)) (sqrt (sin x))) (/ (sin (* 0.5 x)) 1) (/ (sin x) (cbrt (sin (* 0.5 x)))) (/ (sin x) (sqrt (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 x))) (- (+ (* 0.008463541666666666 (* (pow x 4) (exp 0.5))) (+ (* 0.0625 (* (pow x 2) (exp 0.5))) (exp 0.5))) 1) (- (exp (/ (sin (* 0.5 x)) (sin x))) 1) (- (exp (/ (sin (* 0.5 x)) (sin x))) 1) (+ (* 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))) (+ (* 0.0625 (pow x 2)) (+ (* 0.006510416666666667 (pow x 4)) 0.5)) (/ (sin (* 0.5 x)) (sin x)) (/ (sin (* 0.5 x)) (sin x)) (+ (* 0.0625 (pow x 2)) (+ (* 0.006510416666666666 (pow x 4)) 0.5)) (/ (sin (* 0.5 x)) (sin x)) (/ (sin (* 0.5 x)) (sin x)) 2.399 * * [simplify]: iteration 0 : 348 enodes (cost 766 ) 2.406 * * [simplify]: iteration 1 : 1481 enodes (cost 629 ) 2.434 * * [simplify]: iteration 2 : 5002 enodes (cost 614 ) 2.437 * [simplify]: Simplified to: (exp (/ (sin (* 0.5 x)) (sin x))) (expm1 (expm1 (/ (sin (* 0.5 x)) (sin x)))) (/ (sin (* 0.5 x)) (sin x)) (log (expm1 (/ (sin (* 0.5 x)) (sin x)))) (exp (expm1 (/ (sin (* 0.5 x)) (sin x)))) (* (cbrt (expm1 (/ (sin (* 0.5 x)) (sin x)))) (cbrt (expm1 (/ (sin (* 0.5 x)) (sin x))))) (cbrt (expm1 (/ (sin (* 0.5 x)) (sin x)))) (pow (expm1 (/ (sin (* 0.5 x)) (sin x))) 3) (sqrt (expm1 (/ (sin (* 0.5 x)) (sin x)))) (sqrt (expm1 (/ (sin (* 0.5 x)) (sin x)))) (expm1 (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (log1p (expm1 (/ (sin (* 0.5 x)) (sin x)))))) (log1p (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (log1p (expm1 (/ (sin (* 0.5 x)) (sin x)))))) (* (/ (sin (* 0.5 x)) (sin x)) (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (* (/ (sin (* 0.5 x)) (sin x)) (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (- (log (* (/ (pow (sin (* 0.5 x)) 2) (sin x)) 8.0)) (log 3.0)) (- (log (* (/ (pow (sin (* 0.5 x)) 2) (sin x)) 8.0)) (log 3.0)) (- (log (* (/ (pow (sin (* 0.5 x)) 2) (sin x)) 8.0)) (log 3.0)) (- (log (* (/ (pow (sin (* 0.5 x)) 2) (sin x)) 8.0)) (log 3.0)) (pow (exp (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (/ (sin (* 0.5 x)) (sin x))) (/ (pow (* (/ (pow (sin (* 0.5 x)) 2) (sin x)) 8.0) 3) (pow 3.0 3)) (/ (pow (* (/ (pow (sin (* 0.5 x)) 2) (sin x)) 8.0) 3) (pow 3.0 3)) (/ (pow (* (/ (pow (sin (* 0.5 x)) 2) (sin x)) 8.0) 3) (pow 3.0 3)) (* (cbrt (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (log1p (expm1 (/ (sin (* 0.5 x)) (sin x)))))) (cbrt (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (log1p (expm1 (/ (sin (* 0.5 x)) (sin x))))))) (cbrt (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (log1p (expm1 (/ (sin (* 0.5 x)) (sin x)))))) (/ (pow (* (/ (pow (sin (* 0.5 x)) 2) (sin x)) 8.0) 3) (pow 3.0 3)) (sqrt (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (log1p (expm1 (/ (sin (* 0.5 x)) (sin x)))))) (sqrt (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (log1p (expm1 (/ (sin (* 0.5 x)) (sin x)))))) (* (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (cbrt (/ (sin (* 0.5 x)) (sin x)))) (cbrt (/ (sin (* 0.5 x)) (sin x)))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sqrt (/ (sin (* 0.5 x)) (sin x)))) (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (* (sin (* 0.5 x)) (/ (sin (* 0.5 x)) (sin x))) 3.0) (* (/ (pow (sin (* 0.5 x)) 2) (sin x)) 8.0) (exp (/ (sin (* 0.5 x)) (sin x))) (expm1 (/ (sin (* 0.5 x)) (sin x))) (log1p (/ (sin (* 0.5 x)) (sin x))) (log (/ (sin (* 0.5 x)) (sin x))) (exp (/ (sin (* 0.5 x)) (sin x))) (* (cbrt (/ (sin (* 0.5 x)) (sin x))) (cbrt (/ (sin (* 0.5 x)) (sin x)))) (cbrt (/ (sin (* 0.5 x)) (sin x))) (pow (/ (sin (* 0.5 x)) (sin x)) 3) (sqrt (/ (sin (* 0.5 x)) (sin x))) (sqrt (/ (sin (* 0.5 x)) (sin x))) (expm1 (/ (sin (* 0.5 x)) (sin x))) (log1p (/ (sin (* 0.5 x)) (sin x))) (log (/ (sin (* 0.5 x)) (sin x))) (log (/ (sin (* 0.5 x)) (sin x))) (exp (/ (sin (* 0.5 x)) (sin x))) (pow (/ (sin (* 0.5 x)) (sin x)) 3) (* (cbrt (/ (sin (* 0.5 x)) (sin x))) (cbrt (/ (sin (* 0.5 x)) (sin x)))) (cbrt (/ (sin (* 0.5 x)) (sin x))) (pow (/ (sin (* 0.5 x)) (sin x)) 3) (sqrt (/ (sin (* 0.5 x)) (sin x))) (sqrt (/ (sin (* 0.5 x)) (sin x))) (- (sin (* 0.5 x))) (- (sin x)) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt (sin (* 0.5 x))) (cbrt (sin x))) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (sqrt (sin x))) (/ (cbrt (sin (* 0.5 x))) (sqrt (sin x))) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (/ (cbrt (sin (* 0.5 x))) (sin x)) (/ (sqrt (sin (* 0.5 x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (sin (* 0.5 x))) (cbrt (sin x))) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x))) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x))) (sqrt (sin (* 0.5 x))) (/ (sqrt (sin (* 0.5 x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sin (* 0.5 x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (sin (* 0.5 x)) (sqrt (sin x))) 1 (/ (sin (* 0.5 x)) (sin x)) (/ 1 (sin x)) (/ (sin x) (sin (* 0.5 x))) (/ (sin (* 0.5 x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sin (* 0.5 x)) (sqrt (sin x))) (sin (* 0.5 x)) (/ (sin x) (cbrt (sin (* 0.5 x)))) (/ (sin x) (sqrt (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 x))) (fma (exp 0.5) (+ (* 0.008463541666666666 (pow x 4)) (* 0.0625 (pow x 2))) (expm1 0.5)) (expm1 (/ (sin (* 0.5 x)) (sin x))) (expm1 (/ (sin (* 0.5 x)) (sin x))) (fma 0.05555555555555556 (pow x 3) (fma 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))) (fma 0.0625 (pow x 2) (fma 0.006510416666666667 (pow x 4) 0.5)) (/ (sin (* 0.5 x)) (sin x)) (/ (sin (* 0.5 x)) (sin x)) (fma 0.0625 (pow x 2) (fma 0.006510416666666666 (pow x 4) 0.5)) (/ (sin (* 0.5 x)) (sin x)) (/ (sin (* 0.5 x)) (sin x)) 2.438 * * * [progress]: adding candidates to table 2.666 * [progress]: [Phase 3 of 3] Extracting. 2.666 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 2.668 * * * [regime-changes]: Trying 1 branch expressions: (x) 2.668 * * * * [regimes]: Trying to branch on x from (# # # # # # # # #) 2.703 * * * [regime]: Found split indices: #