10.882 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.054 * * * [progress]: [2/2] Setting up program. 0.056 * [progress]: [Phase 2 of 3] Improving. 0.057 * [simplify]: Simplifying using # : (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x)) 0.059 * * [simplify]: iteration 0 : 20 enodes (cost 9 ) 0.061 * * [simplify]: iteration 1 : 43 enodes (cost 9 ) 0.063 * * [simplify]: iteration 2 : 93 enodes (cost 9 ) 0.065 * * [simplify]: iteration 3 : 174 enodes (cost 9 ) 0.068 * * [simplify]: iteration 4 : 269 enodes (cost 9 ) 0.072 * * [simplify]: iteration 5 : 288 enodes (cost 9 ) 0.075 * * [simplify]: iteration 6 : 288 enodes (cost 9 ) 0.075 * [simplify]: Simplified to: (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x)) 0.075 * * [progress]: iteration 1 / 4 0.076 * * * [progress]: picking best candidate 0.078 * * * * [pick]: Picked # 0.078 * * * [progress]: localizing error 0.088 * * * [progress]: generating rewritten candidates 0.088 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.108 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.119 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.142 * * * [progress]: generating series expansions 0.142 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.143 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in (x) around 0 0.143 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.143 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.143 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 0.143 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.143 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.143 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.143 * [taylor]: Taking taylor expansion of 0.5 in x 0.143 * [taylor]: Taking taylor expansion of x in x 0.146 * [taylor]: Taking taylor expansion of (sin x) in x 0.146 * [taylor]: Taking taylor expansion of x in x 0.147 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.147 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.147 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 0.147 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.147 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.147 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.147 * [taylor]: Taking taylor expansion of 0.5 in x 0.147 * [taylor]: Taking taylor expansion of x in x 0.154 * [taylor]: Taking taylor expansion of (sin x) in x 0.154 * [taylor]: Taking taylor expansion of x in x 0.195 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in (x) around 0 0.195 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 0.195 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.195 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 0.195 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.195 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.195 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.196 * [taylor]: Taking taylor expansion of 0.5 in x 0.196 * [taylor]: Taking taylor expansion of x in x 0.196 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.196 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.196 * [taylor]: Taking taylor expansion of x in x 0.197 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 0.197 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.197 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 0.197 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.197 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.197 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.197 * [taylor]: Taking taylor expansion of 0.5 in x 0.197 * [taylor]: Taking taylor expansion of x in x 0.197 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.197 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.197 * [taylor]: Taking taylor expansion of x in x 0.212 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in (x) around 0 0.212 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.212 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.212 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 0.212 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.212 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.212 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.212 * [taylor]: Taking taylor expansion of -0.5 in x 0.212 * [taylor]: Taking taylor expansion of x in x 0.212 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.212 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.212 * [taylor]: Taking taylor expansion of -1 in x 0.212 * [taylor]: Taking taylor expansion of x in x 0.213 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.213 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.213 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 0.213 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.213 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.213 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.213 * [taylor]: Taking taylor expansion of -0.5 in x 0.213 * [taylor]: Taking taylor expansion of x in x 0.214 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.214 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.214 * [taylor]: Taking taylor expansion of -1 in x 0.214 * [taylor]: Taking taylor expansion of x in x 0.228 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.229 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in (x) around 0 0.229 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 0.229 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.229 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.229 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.229 * [taylor]: Taking taylor expansion of 0.5 in x 0.229 * [taylor]: Taking taylor expansion of x in x 0.230 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 0.230 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.230 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.230 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.230 * [taylor]: Taking taylor expansion of 0.5 in x 0.230 * [taylor]: Taking taylor expansion of x in x 0.261 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in (x) around 0 0.262 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 0.262 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.262 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.262 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.262 * [taylor]: Taking taylor expansion of 0.5 in x 0.262 * [taylor]: Taking taylor expansion of x in x 0.262 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 0.262 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.262 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.262 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.262 * [taylor]: Taking taylor expansion of 0.5 in x 0.262 * [taylor]: Taking taylor expansion of x in x 0.269 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in (x) around 0 0.269 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 0.269 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.269 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.269 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.269 * [taylor]: Taking taylor expansion of -0.5 in x 0.269 * [taylor]: Taking taylor expansion of x in x 0.269 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 0.269 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.269 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.269 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.269 * [taylor]: Taking taylor expansion of -0.5 in x 0.269 * [taylor]: Taking taylor expansion of x in x 0.276 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.276 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (* 0.5 x)) 2)) in (x) around 0 0.277 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (* 0.5 x)) 2)) in x 0.277 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.277 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.277 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.277 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.277 * [taylor]: Taking taylor expansion of 0.5 in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.280 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (* 0.5 x)) 2)) in x 0.280 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.280 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.280 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.280 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.280 * [taylor]: Taking taylor expansion of 0.5 in x 0.280 * [taylor]: Taking taylor expansion of x in x 0.309 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ 0.5 x)) 2)) in (x) around 0 0.309 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ 0.5 x)) 2)) in x 0.310 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.310 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.310 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.310 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.310 * [taylor]: Taking taylor expansion of 0.5 in x 0.310 * [taylor]: Taking taylor expansion of x in x 0.310 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ 0.5 x)) 2)) in x 0.310 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.310 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.310 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.310 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.310 * [taylor]: Taking taylor expansion of 0.5 in x 0.310 * [taylor]: Taking taylor expansion of x in x 0.322 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ -0.5 x)) 2)) in (x) around 0 0.322 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ -0.5 x)) 2)) in x 0.322 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.322 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.322 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.322 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.322 * [taylor]: Taking taylor expansion of -0.5 in x 0.322 * [taylor]: Taking taylor expansion of x in x 0.322 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ -0.5 x)) 2)) in x 0.322 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.322 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.322 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.322 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.323 * [taylor]: Taking taylor expansion of -0.5 in x 0.323 * [taylor]: Taking taylor expansion of x in x 0.334 * * * [progress]: simplifying candidates 0.341 * [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)) 0.348 * * [simplify]: iteration 0 : 412 enodes (cost 862 ) 0.358 * * [simplify]: iteration 1 : 2127 enodes (cost 656 ) 0.396 * * [simplify]: iteration 2 : 5001 enodes (cost 637 ) 0.400 * [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)) 0.400 * * * [progress]: adding candidates to table 0.624 * * [progress]: iteration 2 / 4 0.624 * * * [progress]: picking best candidate 0.657 * * * * [pick]: Picked # 0.657 * * * [progress]: localizing error 0.671 * * * [progress]: generating rewritten candidates 0.671 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.681 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.685 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.700 * * * [progress]: generating series expansions 0.701 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.701 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in (x) around 0 0.701 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 0.701 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.701 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.701 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.701 * [taylor]: Taking taylor expansion of 0.5 in x 0.701 * [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 0.725 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in (x) around 0 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 0.725 * [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 0.732 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in (x) around 0 0.732 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 0.732 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.732 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.732 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.732 * [taylor]: Taking taylor expansion of -0.5 in x 0.732 * [taylor]: Taking taylor expansion of x in x 0.732 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 0.732 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.732 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.732 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.732 * [taylor]: Taking taylor expansion of -0.5 in x 0.732 * [taylor]: Taking taylor expansion of x in x 0.738 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.738 * [approximate]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in (x) around 0 0.738 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 0.738 * [taylor]: Taking taylor expansion of (sin x) in x 0.738 * [taylor]: Taking taylor expansion of x 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 0.742 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 0.742 * [taylor]: Taking taylor expansion of (sin x) in x 0.742 * [taylor]: Taking taylor expansion of x 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 0.799 * [approximate]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in (x) around 0 0.799 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 0.799 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.799 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.799 * [taylor]: Taking taylor expansion of x in x 0.800 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.800 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.800 * [taylor]: Taking taylor expansion of 0.5 in x 0.800 * [taylor]: Taking taylor expansion of x in x 0.800 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 0.800 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.800 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.800 * [taylor]: Taking taylor expansion of x in x 0.801 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.801 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.801 * [taylor]: Taking taylor expansion of 0.5 in x 0.801 * [taylor]: Taking taylor expansion of x in x 0.804 * [approximate]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in (x) around 0 0.804 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 0.804 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.804 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.804 * [taylor]: Taking taylor expansion of -1 in x 0.804 * [taylor]: Taking taylor expansion of x in x 0.805 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.805 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.805 * [taylor]: Taking taylor expansion of -0.5 in x 0.805 * [taylor]: Taking taylor expansion of x in x 0.805 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 0.805 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.805 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.805 * [taylor]: Taking taylor expansion of -1 in x 0.805 * [taylor]: Taking taylor expansion of x in x 0.805 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.806 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.806 * [taylor]: Taking taylor expansion of -0.5 in x 0.806 * [taylor]: Taking taylor expansion of x in x 0.808 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.809 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in (x) around 0 0.809 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.809 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.809 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 0.809 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.809 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.809 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.809 * [taylor]: Taking taylor expansion of 0.5 in x 0.809 * [taylor]: Taking taylor expansion of x in x 0.812 * [taylor]: Taking taylor expansion of (sin x) in x 0.812 * [taylor]: Taking taylor expansion of x in x 0.813 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.813 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.813 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 0.813 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.813 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.813 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.813 * [taylor]: Taking taylor expansion of 0.5 in x 0.813 * [taylor]: Taking taylor expansion of x in x 0.816 * [taylor]: Taking taylor expansion of (sin x) in x 0.816 * [taylor]: Taking taylor expansion of x in x 0.860 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in (x) around 0 0.860 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 0.860 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.860 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 0.860 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.860 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.860 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.860 * [taylor]: Taking taylor expansion of 0.5 in x 0.860 * [taylor]: Taking taylor expansion of x in x 0.861 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.861 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.861 * [taylor]: Taking taylor expansion of x in x 0.861 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 0.862 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.862 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 0.862 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.862 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.862 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.862 * [taylor]: Taking taylor expansion of 0.5 in x 0.862 * [taylor]: Taking taylor expansion of x in x 0.862 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.862 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.862 * [taylor]: Taking taylor expansion of x in x 0.877 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in (x) around 0 0.877 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.877 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.877 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 0.877 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.877 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.877 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.877 * [taylor]: Taking taylor expansion of -0.5 in x 0.877 * [taylor]: Taking taylor expansion of x in x 0.877 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.877 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.877 * [taylor]: Taking taylor expansion of -1 in x 0.877 * [taylor]: Taking taylor expansion of x in x 0.878 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.878 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.878 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 0.878 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.878 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.878 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.878 * [taylor]: Taking taylor expansion of -0.5 in x 0.878 * [taylor]: Taking taylor expansion of x in x 0.879 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.879 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.879 * [taylor]: Taking taylor expansion of -1 in x 0.879 * [taylor]: Taking taylor expansion of x in x 0.893 * * * [progress]: simplifying candidates 0.895 * [simplify]: Simplifying using # : (expm1 (* (/ 8.0 3.0) (sin (* x 0.5)))) (log1p (* (/ 8.0 3.0) (sin (* x 0.5)))) (* (/ 8.0 3.0) (sin (* x 0.5))) (+ (- (log 8.0) (log 3.0)) (log (sin (* x 0.5)))) (+ (log (/ 8.0 3.0)) (log (sin (* x 0.5)))) (log (* (/ 8.0 3.0) (sin (* x 0.5)))) (exp (* (/ 8.0 3.0) (sin (* x 0.5)))) (* (/ (* (* 8.0 8.0) 8.0) (* (* 3.0 3.0) 3.0)) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* (* (/ 8.0 3.0) (/ 8.0 3.0)) (/ 8.0 3.0)) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (cbrt (* (/ 8.0 3.0) (sin (* x 0.5)))) (cbrt (* (/ 8.0 3.0) (sin (* x 0.5))))) (cbrt (* (/ 8.0 3.0) (sin (* x 0.5)))) (* (* (* (/ 8.0 3.0) (sin (* x 0.5))) (* (/ 8.0 3.0) (sin (* x 0.5)))) (* (/ 8.0 3.0) (sin (* x 0.5)))) (sqrt (* (/ 8.0 3.0) (sin (* x 0.5)))) (sqrt (* (/ 8.0 3.0) (sin (* x 0.5)))) (* (sqrt (/ 8.0 3.0)) (sqrt (sin (* x 0.5)))) (* (sqrt (/ 8.0 3.0)) (sqrt (sin (* x 0.5)))) (* (/ (sqrt 8.0) (sqrt 3.0)) (sqrt (sin (* x 0.5)))) (* (/ (sqrt 8.0) (sqrt 3.0)) (sqrt (sin (* x 0.5)))) (* (/ 8.0 3.0) (* (cbrt (sin (* x 0.5))) (cbrt (sin (* x 0.5))))) (* (/ 8.0 3.0) (sqrt (sin (* x 0.5)))) (* (/ 8.0 3.0) 1) (* (cbrt (/ 8.0 3.0)) (sin (* x 0.5))) (* (sqrt (/ 8.0 3.0)) (sin (* x 0.5))) (* (/ (cbrt 8.0) (cbrt 3.0)) (sin (* x 0.5))) (* (/ (cbrt 8.0) (sqrt 3.0)) (sin (* x 0.5))) (* (/ (cbrt 8.0) 3.0) (sin (* x 0.5))) (* (/ (sqrt 8.0) (cbrt 3.0)) (sin (* x 0.5))) (* (/ (sqrt 8.0) (sqrt 3.0)) (sin (* x 0.5))) (* (/ (sqrt 8.0) 3.0) (sin (* x 0.5))) (* (/ 8.0 (cbrt 3.0)) (sin (* x 0.5))) (* (/ 8.0 (sqrt 3.0)) (sin (* x 0.5))) (* (/ 8.0 3.0) (sin (* x 0.5))) (* (/ 8.0 3.0) (sin (* x 0.5))) (* (/ 1 3.0) (sin (* x 0.5))) (* 8.0 (sin (* x 0.5))) (expm1 (/ (sin x) (sin (* 0.5 x)))) (log1p (/ (sin x) (sin (* 0.5 x)))) (- (log (sin x)) (log (sin (* 0.5 x)))) (log (/ (sin x) (sin (* 0.5 x)))) (exp (/ (sin x) (sin (* 0.5 x)))) (/ (* (* (sin x) (sin x)) (sin x)) (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x)))) (* (cbrt (/ (sin x) (sin (* 0.5 x)))) (cbrt (/ (sin x) (sin (* 0.5 x))))) (cbrt (/ (sin x) (sin (* 0.5 x)))) (* (* (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 x)))) (sqrt (/ (sin x) (sin (* 0.5 x)))) (sqrt (/ (sin x) (sin (* 0.5 x)))) (- (sin x)) (- (sin (* 0.5 x))) (/ (* (cbrt (sin x)) (cbrt 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(sin (* 0.5 x))))) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))))) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (sin (* 0.5 x))))) (/ (/ 8.0 3.0) (/ (* (cbrt (sin x)) (cbrt (sin x))) (sin (* x 0.5)))) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sqrt (sin x)) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))))) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x))))) (/ (/ 8.0 3.0) (/ (sqrt (sin x)) (sin (* x 0.5)))) (* (* (/ 8.0 3.0) (sin (* x 0.5))) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sqrt (sin (* 0.5 x)))) (* (/ 8.0 3.0) (sin (* x 0.5))) (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (sin x)) (/ (sin x) (pow (sin (* 0.5 x)) 2)) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (sin x)) (* (/ (sin x) (sin (* 0.5 x))) 3.0) (fma x 1.3333333333333333 (- (* 0.0006944444444444444 (pow x 5)) (* 0.05555555555555555 (pow x 3)))) (* 2.6666666666666665 (sin (* 0.5 x))) (* 2.6666666666666665 (sin (* 0.5 x))) (fma (pow x 4) 0.005208333333333334 (- 2.0 (* 0.25 (pow x 2)))) (/ (sin x) (sin (* x 0.5))) (/ (sin x) (sin (* x 0.5))) (fma 0.05555555555555555 (pow x 3) (fma 0.005555555555555554 (pow x 5) (* 0.6666666666666666 x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) 0.965 * * * [progress]: adding candidates to table 1.306 * * [progress]: iteration 3 / 4 1.306 * * * [progress]: picking best candidate 1.332 * * * * [pick]: Picked # 1.332 * * * [progress]: localizing error 1.345 * * * [progress]: generating rewritten candidates 1.345 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 1.353 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 1.357 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 1.370 * * * [progress]: generating series expansions 1.370 * * * * [progress]: [ 1 / 3 ] generating series at (2) 1.370 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in (x) around 0 1.370 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 1.370 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.370 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 1.370 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 1.370 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.370 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.370 * [taylor]: Taking taylor expansion of 0.5 in x 1.371 * [taylor]: Taking taylor expansion of x in x 1.374 * [taylor]: Taking taylor expansion of (sin x) in x 1.374 * [taylor]: Taking taylor expansion of x in x 1.375 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 1.375 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.375 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 1.375 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 1.375 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.375 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.375 * [taylor]: Taking taylor expansion of 0.5 in x 1.375 * [taylor]: Taking taylor expansion of x in x 1.377 * [taylor]: Taking taylor expansion of (sin x) in x 1.377 * [taylor]: Taking taylor expansion of x in x 1.420 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in (x) around 0 1.420 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 1.420 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.420 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 1.420 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 1.420 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.420 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.420 * [taylor]: Taking taylor expansion of 0.5 in x 1.420 * [taylor]: Taking taylor expansion of x in x 1.420 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.420 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.420 * [taylor]: Taking taylor expansion of x in x 1.421 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 1.421 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.421 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 1.421 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 1.421 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.421 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.421 * [taylor]: Taking taylor expansion of 0.5 in x 1.421 * [taylor]: Taking taylor expansion of x in x 1.421 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.421 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.421 * [taylor]: Taking taylor expansion of x in x 1.435 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in (x) around 0 1.435 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 1.435 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.435 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 1.435 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 1.435 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.435 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.435 * [taylor]: Taking taylor expansion of -0.5 in x 1.435 * [taylor]: Taking taylor expansion of x in x 1.436 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.436 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.436 * [taylor]: Taking taylor expansion of -1 in x 1.436 * [taylor]: Taking taylor expansion of x in x 1.436 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 1.436 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.436 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 1.436 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 1.436 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.436 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.437 * [taylor]: Taking taylor expansion of -0.5 in x 1.437 * [taylor]: Taking taylor expansion of x in x 1.437 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.437 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.437 * [taylor]: Taking taylor expansion of -1 in x 1.437 * [taylor]: Taking taylor expansion of x in x 1.450 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 1.450 * [approximate]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in (x) around 0 1.451 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 1.451 * [taylor]: Taking taylor expansion of (sin x) in x 1.451 * [taylor]: Taking taylor expansion of x in x 1.451 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.451 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.451 * [taylor]: Taking taylor expansion of 0.5 in x 1.451 * [taylor]: Taking taylor expansion of x in x 1.454 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 1.454 * [taylor]: Taking taylor expansion of (sin x) in x 1.454 * [taylor]: Taking taylor expansion of x in x 1.454 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.454 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.454 * [taylor]: Taking taylor expansion of 0.5 in x 1.454 * [taylor]: Taking taylor expansion of x in x 1.483 * [approximate]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in (x) around 0 1.483 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 1.483 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.483 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.483 * [taylor]: Taking taylor expansion of x in x 1.484 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.484 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.484 * [taylor]: Taking taylor expansion of 0.5 in x 1.484 * [taylor]: Taking taylor expansion of x in x 1.484 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 1.484 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.484 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.484 * [taylor]: Taking taylor expansion of x in x 1.484 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.484 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.484 * [taylor]: Taking taylor expansion of 0.5 in x 1.484 * [taylor]: Taking taylor expansion of x in x 1.487 * [approximate]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in (x) around 0 1.487 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 1.487 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.487 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.487 * [taylor]: Taking taylor expansion of -1 in x 1.487 * [taylor]: Taking taylor expansion of x in x 1.487 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.487 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.487 * [taylor]: Taking taylor expansion of -0.5 in x 1.487 * [taylor]: Taking taylor expansion of x in x 1.488 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 1.488 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.488 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.488 * [taylor]: Taking taylor expansion of -1 in x 1.488 * [taylor]: Taking taylor expansion of x in x 1.488 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.488 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.488 * [taylor]: Taking taylor expansion of -0.5 in x 1.488 * [taylor]: Taking taylor expansion of x in x 1.491 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 1.491 * [approximate]: Taking taylor expansion of (* 3.0 (/ (sin x) (sin (* 0.5 x)))) in (x) around 0 1.491 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sin x) (sin (* 0.5 x)))) in x 1.491 * [taylor]: Taking taylor expansion of 3.0 in x 1.491 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 1.491 * [taylor]: Taking taylor expansion of (sin x) in x 1.491 * [taylor]: Taking taylor expansion of x in x 1.491 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.491 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.491 * [taylor]: Taking taylor expansion of 0.5 in x 1.491 * [taylor]: Taking taylor expansion of x in x 1.494 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sin x) (sin (* 0.5 x)))) in x 1.494 * [taylor]: Taking taylor expansion of 3.0 in x 1.494 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 1.494 * [taylor]: Taking taylor expansion of (sin x) in x 1.494 * [taylor]: Taking taylor expansion of x in x 1.494 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.495 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.495 * [taylor]: Taking taylor expansion of 0.5 in x 1.495 * [taylor]: Taking taylor expansion of x in x 1.536 * [approximate]: Taking taylor expansion of (* 3.0 (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) in (x) around 0 1.536 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) in x 1.536 * [taylor]: Taking taylor expansion of 3.0 in x 1.536 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 1.536 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.536 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.536 * [taylor]: Taking taylor expansion of x in x 1.536 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.536 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.536 * [taylor]: Taking taylor expansion of 0.5 in x 1.536 * [taylor]: Taking taylor expansion of x in x 1.537 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) in x 1.537 * [taylor]: Taking taylor expansion of 3.0 in x 1.537 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 1.537 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.537 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.537 * [taylor]: Taking taylor expansion of x in x 1.537 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.537 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.537 * [taylor]: Taking taylor expansion of 0.5 in x 1.537 * [taylor]: Taking taylor expansion of x in x 1.545 * [approximate]: Taking taylor expansion of (* 3.0 (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) in (x) around 0 1.546 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) in x 1.546 * [taylor]: Taking taylor expansion of 3.0 in x 1.546 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 1.546 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.546 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.546 * [taylor]: Taking taylor expansion of -1 in x 1.546 * [taylor]: Taking taylor expansion of x in x 1.546 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.546 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.546 * [taylor]: Taking taylor expansion of -0.5 in x 1.546 * [taylor]: Taking taylor expansion of x in x 1.547 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) in x 1.547 * [taylor]: Taking taylor expansion of 3.0 in x 1.547 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 1.547 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.547 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.547 * [taylor]: Taking taylor expansion of -1 in x 1.547 * [taylor]: Taking taylor expansion of x in x 1.547 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.547 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.547 * [taylor]: Taking taylor expansion of -0.5 in x 1.547 * [taylor]: Taking taylor expansion of x in x 1.555 * * * [progress]: simplifying candidates 1.557 * [simplify]: Simplifying using # : (expm1 (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (log1p (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (- (+ (log 8.0) (log (sin (* x 0.5)))) (+ (- (log (sin x)) (log (sin (* 0.5 x)))) (log 3.0))) (- (+ (log 8.0) (log (sin (* x 0.5)))) (+ (log (/ (sin x) (sin (* 0.5 x)))) (log 3.0))) (- (+ (log 8.0) (log (sin (* x 0.5)))) (log (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (- (log (* 8.0 (sin (* x 0.5)))) (+ (- (log (sin x)) (log (sin (* 0.5 x)))) (log 3.0))) (- (log (* 8.0 (sin (* x 0.5)))) (+ (log (/ (sin x) (sin (* 0.5 x)))) (log 3.0))) (- (log (* 8.0 (sin (* x 0.5)))) (log (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (log (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (exp (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (/ (* (* (* 8.0 8.0) 8.0) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (/ (* (* (sin x) (sin x)) (sin x)) (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x)))) (* (* 3.0 3.0) 3.0))) (/ (* (* (* 8.0 8.0) 8.0) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* (* (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 x)))) (* (* 3.0 3.0) 3.0))) (/ (* (* (* 8.0 8.0) 8.0) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* (* (/ (sin x) (sin (* 0.5 x))) 3.0) (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (/ (* (* (* 8.0 (sin (* x 0.5))) (* 8.0 (sin (* x 0.5)))) (* 8.0 (sin (* x 0.5)))) (* (/ (* (* (sin x) (sin x)) (sin x)) (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x)))) (* (* 3.0 3.0) 3.0))) (/ (* (* (* 8.0 (sin (* x 0.5))) (* 8.0 (sin (* x 0.5)))) (* 8.0 (sin (* x 0.5)))) (* (* (* (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 x)))) (* (* 3.0 3.0) 3.0))) (/ (* (* (* 8.0 (sin (* x 0.5))) (* 8.0 (sin (* x 0.5)))) (* 8.0 (sin (* x 0.5)))) (* (* (* (/ (sin x) (sin (* 0.5 x))) 3.0) (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (* (cbrt (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (cbrt (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0)))) (cbrt (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (* (* (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (sqrt (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (sqrt (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (- (* 8.0 (sin (* x 0.5)))) (- (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (/ 8.0 (/ (sin x) (sin (* 0.5 x)))) (/ (sin (* x 0.5)) 3.0) (/ 1 (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (/ (* (/ (sin x) (sin (* 0.5 x))) 3.0) (* 8.0 (sin (* x 0.5)))) (/ (* 8.0 (sin (* x 0.5))) (/ (sin x) (sin (* 0.5 x)))) (/ (* (/ (sin x) (sin (* 0.5 x))) 3.0) (sin (* x 0.5))) (/ (* 8.0 (sin (* x 0.5))) (* (sin x) 3.0)) (expm1 (/ (sin x) (sin (* 0.5 x)))) (log1p (/ (sin x) (sin (* 0.5 x)))) (- (log (sin x)) (log (sin (* 0.5 x)))) (log (/ (sin x) (sin (* 0.5 x)))) (exp (/ (sin x) (sin (* 0.5 x)))) (/ (* (* (sin x) (sin x)) (sin x)) (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x)))) (* (cbrt (/ (sin x) (sin (* 0.5 x)))) (cbrt (/ (sin x) (sin (* 0.5 x))))) (cbrt (/ (sin x) (sin (* 0.5 x)))) (* (* (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 x)))) (sqrt (/ (sin x) (sin (* 0.5 x)))) (sqrt (/ (sin x) (sin (* 0.5 x)))) (- (sin x)) (- (sin (* 0.5 x))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (cbrt (sin x)) (cbrt (sin (* 0.5 x)))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (sin (* 0.5 x)))) (/ (cbrt (sin x)) (sqrt (sin (* 0.5 x)))) (/ (* (cbrt (sin x)) (cbrt (sin x))) 1) (/ (cbrt (sin x)) (sin (* 0.5 x))) (/ (sqrt (sin x)) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (sqrt (sin x)) (cbrt (sin (* 0.5 x)))) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (/ (sqrt (sin x)) 1) (/ (sqrt (sin x)) (sin (* 0.5 x))) (/ 1 (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (sin x) (cbrt (sin (* 0.5 x)))) (/ 1 (sqrt (sin (* 0.5 x)))) (/ (sin x) (sqrt (sin (* 0.5 x)))) (/ 1 1) (/ (sin x) (sin (* 0.5 x))) (/ 1 (sin (* 0.5 x))) (/ (sin (* 0.5 x)) (sin x)) (/ (sin x) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (sin x) (sqrt (sin (* 0.5 x)))) (/ (sin x) 1) (/ (sin (* 0.5 x)) (cbrt (sin x))) (/ (sin (* 0.5 x)) (sqrt (sin x))) (/ (sin (* 0.5 x)) (sin x)) (expm1 (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (log1p (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (* (/ (sin x) (sin (* 0.5 x))) 3.0) (+ (- (log (sin x)) (log (sin (* 0.5 x)))) (log 3.0)) (+ (log (/ (sin x) (sin (* 0.5 x)))) (log 3.0)) (log (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (exp (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (* (/ (* (* (sin x) (sin x)) (sin x)) (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x)))) (* (* 3.0 3.0) 3.0)) (* (* (* (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 x)))) (* (* 3.0 3.0) 3.0)) (* (cbrt (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (cbrt (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (cbrt (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (* (* (* (/ (sin x) (sin (* 0.5 x))) 3.0) (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (sqrt (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (sqrt (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (* (sqrt (/ (sin x) (sin (* 0.5 x)))) (sqrt 3.0)) (* (sqrt (/ (sin x) (sin (* 0.5 x)))) (sqrt 3.0)) (* (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (sqrt 3.0)) (* (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (sqrt 3.0)) (* (/ (sin x) (sin (* 0.5 x))) (* (cbrt 3.0) (cbrt 3.0))) (* (/ (sin x) (sin (* 0.5 x))) (sqrt 3.0)) (* (/ (sin x) (sin (* 0.5 x))) 1) (* (cbrt (/ (sin x) (sin (* 0.5 x)))) 3.0) (* (sqrt (/ (sin x) (sin (* 0.5 x)))) 3.0) (* (/ (cbrt (sin x)) (cbrt (sin (* 0.5 x)))) 3.0) (* (/ (cbrt (sin x)) (sqrt (sin (* 0.5 x)))) 3.0) (* (/ (cbrt (sin x)) (sin (* 0.5 x))) 3.0) (* (/ (sqrt (sin x)) (cbrt (sin (* 0.5 x)))) 3.0) (* (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) 3.0) (* (/ (sqrt (sin x)) (sin (* 0.5 x))) 3.0) (* (/ (sin x) (cbrt (sin (* 0.5 x)))) 3.0) (* (/ (sin x) (sqrt (sin (* 0.5 x)))) 3.0) (* (/ (sin x) (sin (* 0.5 x))) 3.0) (* (/ (sin x) (sin (* 0.5 x))) 3.0) (* (/ 1 (sin (* 0.5 x))) 3.0) (* (sin x) 3.0) (+ (* 0.05555555555555555 (pow x 3)) (+ (* 0.005555555555555554 (pow x 5)) (* 0.6666666666666666 x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (- (+ (* 0.005208333333333334 (pow x 4)) 2.0) (* 0.25 (pow x 2))) (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x))) (- (+ (* 0.015625 (pow x 4)) 6.0) (* 0.75 (pow x 2))) (* 3.0 (/ (sin x) (sin (* 0.5 x)))) (* 3.0 (/ (sin x) (sin (* 0.5 x)))) 1.564 * * [simplify]: iteration 0 : 433 enodes (cost 924 ) 1.573 * * [simplify]: iteration 1 : 2247 enodes (cost 743 ) 1.610 * * [simplify]: iteration 2 : 5001 enodes (cost 724 ) 1.614 * [simplify]: Simplified to: (expm1 (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (log1p (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (+ (log (/ (pow (sin (* 0.5 x)) 2) (sin x))) (log (/ 8.0 3.0))) (+ (log (/ (pow (sin (* 0.5 x)) 2) (sin x))) (log (/ 8.0 3.0))) (+ (log (/ (pow (sin (* 0.5 x)) 2) (sin x))) (log (/ 8.0 3.0))) (+ (log (/ (pow (sin (* 0.5 x)) 2) (sin x))) (log (/ 8.0 3.0))) (+ (log (/ (pow (sin (* 0.5 x)) 2) (sin x))) (log (/ 8.0 3.0))) (+ (log (/ (pow (sin (* 0.5 x)) 2) (sin x))) (log (/ 8.0 3.0))) (+ (log (/ (pow (sin (* 0.5 x)) 2) (sin x))) (log (/ 8.0 3.0))) (pow (exp (/ (pow (sin (* 0.5 x)) 2) (sin x))) (/ 8.0 3.0)) (* (pow (/ (pow (sin (* 0.5 x)) 2) (sin x)) 3) (pow (/ 8.0 3.0) 3)) (* (pow (/ (pow (sin (* 0.5 x)) 2) (sin x)) 3) (pow (/ 8.0 3.0) 3)) (* (pow (/ (pow (sin (* 0.5 x)) 2) (sin x)) 3) (pow (/ 8.0 3.0) 3)) (* (pow (/ (pow (sin (* 0.5 x)) 2) (sin x)) 3) (pow (/ 8.0 3.0) 3)) (* (pow (/ (pow (sin (* 0.5 x)) 2) (sin x)) 3) (pow (/ 8.0 3.0) 3)) (* (pow (/ (pow (sin (* 0.5 x)) 2) (sin x)) 3) (pow (/ 8.0 3.0) 3)) (* (cbrt (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (cbrt (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0)))) (cbrt (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (* (pow (/ (pow (sin (* 0.5 x)) 2) (sin x)) 3) (pow (/ 8.0 3.0) 3)) (sqrt (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (sqrt (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (- (* 8.0 (sin (* x 0.5)))) (- (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (/ 8.0 (/ (sin x) (sin (* 0.5 x)))) (/ (sin (* 0.5 x)) 3.0) (/ 1 (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (* (/ 3.0 8.0) (/ (sin x) (pow (sin (* 0.5 x)) 2))) (* (/ (pow (sin (* 0.5 x)) 2) (sin x)) (/ 8.0 1)) (/ (* (sin x) 3.0) (pow (sin (* 0.5 x)) 2)) (/ (* 8.0 (sin (* x 0.5))) (* (sin x) 3.0)) (expm1 (/ (sin x) (sin (* 0.5 x)))) (log1p (/ (sin x) (sin (* 0.5 x)))) (log (/ (sin x) (sin (* 0.5 x)))) (log (/ (sin x) (sin (* 0.5 x)))) (exp (/ (sin x) (sin (* 0.5 x)))) (pow (/ (sin x) (sin (* 0.5 x))) 3) (* (cbrt (/ (sin x) (sin (* 0.5 x)))) (cbrt (/ (sin x) (sin (* 0.5 x))))) (cbrt (/ (sin x) (sin (* 0.5 x)))) (pow (/ (sin x) (sin (* 0.5 x))) 3) (sqrt (/ (sin x) (sin (* 0.5 x)))) (sqrt (/ (sin x) (sin (* 0.5 x)))) (- (sin x)) (- (sin (* x 0.5))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (cbrt (sin x)) (cbrt (sin (* 0.5 x)))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (sin (* 0.5 x)))) (/ (cbrt (sin x)) (sqrt (sin (* 0.5 x)))) (* (cbrt (sin x)) (cbrt (sin x))) (/ (cbrt (sin x)) (sin (* 0.5 x))) (/ (sqrt (sin x)) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (sqrt (sin x)) (cbrt (sin (* 0.5 x)))) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (sqrt (sin x)) (/ (sqrt (sin x)) (sin (* 0.5 x))) (/ 1 (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (sin x) (cbrt (sin (* 0.5 x)))) (/ 1 (sqrt (sin (* 0.5 x)))) (/ (sin x) (sqrt (sin (* 0.5 x)))) 1 (/ (sin x) (sin (* 0.5 x))) (/ 1 (sin (* 0.5 x))) (/ (sin (* 0.5 x)) (sin x)) (/ (sin x) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (sin x) (sqrt (sin (* 0.5 x)))) (sin x) (/ (sin (* 0.5 x)) (cbrt (sin x))) (/ (sin (* 0.5 x)) (sqrt (sin x))) (/ (sin (* 0.5 x)) (sin x)) (expm1 (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (log1p (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (* (/ (sin x) (sin (* 0.5 x))) 3.0) (log (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (log (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (log (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (exp (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (pow (* (/ (sin x) (sin (* 0.5 x))) 3.0) 3) (pow (* (/ (sin x) (sin (* 0.5 x))) 3.0) 3) (* (cbrt (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (cbrt (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (cbrt (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (pow (* (/ (sin x) (sin (* 0.5 x))) 3.0) 3) (sqrt (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (sqrt (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (* (sqrt (/ (sin x) (sin (* 0.5 x)))) (sqrt 3.0)) (* (sqrt (/ (sin x) (sin (* 0.5 x)))) (sqrt 3.0)) (* (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (sqrt 3.0)) (* (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (sqrt 3.0)) (* (/ (sin x) (sin (* 0.5 x))) (* (cbrt 3.0) (cbrt 3.0))) (* (/ (sin x) (sin (* 0.5 x))) (sqrt 3.0)) (/ (sin x) (sin (* 0.5 x))) (* (cbrt (/ (sin x) (sin (* 0.5 x)))) 3.0) (* (sqrt (/ (sin x) (sin (* 0.5 x)))) 3.0) (* (/ (cbrt (sin x)) (cbrt (sin (* 0.5 x)))) 3.0) (* (/ (cbrt (sin x)) (sqrt (sin (* 0.5 x)))) 3.0) (* (/ (cbrt (sin x)) (sin (* 0.5 x))) 3.0) (* (/ (sqrt (sin x)) (cbrt (sin (* 0.5 x)))) 3.0) (* (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) 3.0) (* (/ (sqrt (sin x)) (sin (* 0.5 x))) 3.0) (* (/ (sin x) (cbrt (sin (* 0.5 x)))) 3.0) (* (/ (sin x) (sqrt (sin (* 0.5 x)))) 3.0) (* (/ (sin x) (sin (* 0.5 x))) 3.0) (* (/ (sin x) (sin (* 0.5 x))) 3.0) (/ 3.0 (sin (* x 0.5))) (* (sin x) 3.0) (fma 0.05555555555555555 (pow x 3) (fma 0.005555555555555554 (pow x 5) (* 0.6666666666666666 x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (fma (pow x 4) 0.005208333333333334 (- 2.0 (* 0.25 (pow x 2)))) (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x))) (fma (pow x 4) 0.015625 (- 6.0 (* 0.75 (pow x 2)))) (* (/ (sin x) (sin (* 0.5 x))) 3.0) (* (/ (sin x) (sin (* 0.5 x))) 3.0) 1.615 * * * [progress]: adding candidates to table 1.872 * * [progress]: iteration 4 / 4 1.872 * * * [progress]: picking best candidate 1.896 * * * * [pick]: Picked # 1.896 * * * [progress]: localizing error 1.913 * * * [progress]: generating rewritten candidates 1.913 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.920 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1) 1.924 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 1.924 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 1.926 * * * [progress]: generating series expansions 1.926 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.926 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (sin (* 0.5 x)) (log1p (expm1 (/ (sin x) (sin (* 0.5 x))))))) in (x) around 0 1.926 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (sin (* 0.5 x)) (log1p (expm1 (/ (sin x) (sin (* 0.5 x))))))) in x 1.926 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.926 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 x)) (log1p (expm1 (/ (sin x) (sin (* 0.5 x)))))) in x 1.926 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.926 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.926 * [taylor]: Taking taylor expansion of 0.5 in x 1.926 * [taylor]: Taking taylor expansion of x in x 1.928 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (sin x) (sin (* 0.5 x))))) in x 1.928 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (sin x) (sin (* 0.5 x)))))) 1.928 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (sin x) (sin (* 0.5 x))))) in x 1.928 * [taylor]: Taking taylor expansion of 1 in x 1.928 * [taylor]: Taking taylor expansion of (expm1 (/ (sin x) (sin (* 0.5 x)))) in x 1.928 * [taylor]: Rewrote expression to (- (exp (/ (sin x) (sin (* 0.5 x)))) 1) 1.928 * [taylor]: Taking taylor expansion of (exp (/ (sin x) (sin (* 0.5 x)))) in x 1.928 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 1.928 * [taylor]: Taking taylor expansion of (sin x) in x 1.928 * [taylor]: Taking taylor expansion of x in x 1.928 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.928 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.928 * [taylor]: Taking taylor expansion of 0.5 in x 1.928 * [taylor]: Taking taylor expansion of x in x 1.932 * [taylor]: Taking taylor expansion of 1 in x 1.936 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (sin (* 0.5 x)) (log1p (expm1 (/ (sin x) (sin (* 0.5 x))))))) in x 1.936 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.936 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 x)) (log1p (expm1 (/ (sin x) (sin (* 0.5 x)))))) in x 1.936 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.936 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.936 * [taylor]: Taking taylor expansion of 0.5 in x 1.936 * [taylor]: Taking taylor expansion of x in x 1.937 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (sin x) (sin (* 0.5 x))))) in x 1.937 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (sin x) (sin (* 0.5 x)))))) 1.938 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (sin x) (sin (* 0.5 x))))) in x 1.938 * [taylor]: Taking taylor expansion of 1 in x 1.938 * [taylor]: Taking taylor expansion of (expm1 (/ (sin x) (sin (* 0.5 x)))) in x 1.938 * [taylor]: Rewrote expression to (- (exp (/ (sin x) (sin (* 0.5 x)))) 1) 1.938 * [taylor]: Taking taylor expansion of (exp (/ (sin x) (sin (* 0.5 x)))) in x 1.938 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 1.938 * [taylor]: Taking taylor expansion of (sin x) in x 1.938 * [taylor]: Taking taylor expansion of x in x 1.938 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.938 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.938 * [taylor]: Taking taylor expansion of 0.5 in x 1.938 * [taylor]: Taking taylor expansion of x in x 1.941 * [taylor]: Taking taylor expansion of 1 in x 2.070 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (sin (/ 0.5 x)) (log1p (expm1 (/ (sin (/ 1 x)) (sin (/ 0.5 x))))))) in (x) around 0 2.070 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (sin (/ 0.5 x)) (log1p (expm1 (/ (sin (/ 1 x)) (sin (/ 0.5 x))))))) in x 2.070 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 2.070 * [taylor]: Taking taylor expansion of (/ (sin (/ 0.5 x)) (log1p (expm1 (/ (sin (/ 1 x)) (sin (/ 0.5 x)))))) in x 2.070 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.070 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.070 * [taylor]: Taking taylor expansion of 0.5 in x 2.070 * [taylor]: Taking taylor expansion of x in x 2.071 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (sin (/ 1 x)) (sin (/ 0.5 x))))) in x 2.071 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (sin (/ 1 x)) (sin (/ 0.5 x)))))) 2.071 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (sin (/ 1 x)) (sin (/ 0.5 x))))) in x 2.071 * [taylor]: Taking taylor expansion of 1 in x 2.071 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) in x 2.071 * [taylor]: Rewrote expression to (- (exp (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) 1) 2.071 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) in x 2.071 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 2.071 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.071 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.071 * [taylor]: Taking taylor expansion of x in x 2.071 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.071 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.071 * [taylor]: Taking taylor expansion of 0.5 in x 2.071 * [taylor]: Taking taylor expansion of x in x 2.072 * [taylor]: Taking taylor expansion of 1 in x 2.072 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (sin (/ 0.5 x)) (log1p (expm1 (/ (sin (/ 1 x)) (sin (/ 0.5 x))))))) in x 2.073 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 2.073 * [taylor]: Taking taylor expansion of (/ (sin (/ 0.5 x)) (log1p (expm1 (/ (sin (/ 1 x)) (sin (/ 0.5 x)))))) in x 2.073 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.073 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.073 * [taylor]: Taking taylor expansion of 0.5 in x 2.073 * [taylor]: Taking taylor expansion of x in x 2.073 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (sin (/ 1 x)) (sin (/ 0.5 x))))) in x 2.073 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (sin (/ 1 x)) (sin (/ 0.5 x)))))) 2.073 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (sin (/ 1 x)) (sin (/ 0.5 x))))) in x 2.073 * [taylor]: Taking taylor expansion of 1 in x 2.073 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) in x 2.073 * [taylor]: Rewrote expression to (- (exp (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) 1) 2.073 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) in x 2.073 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 2.073 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.073 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.073 * [taylor]: Taking taylor expansion of x in x 2.074 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.074 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.074 * [taylor]: Taking taylor expansion of 0.5 in x 2.074 * [taylor]: Taking taylor expansion of x in x 2.074 * [taylor]: Taking taylor expansion of 1 in x 2.122 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (sin (/ -0.5 x)) (log1p (expm1 (/ (sin (/ -1 x)) (sin (/ -0.5 x))))))) in (x) around 0 2.122 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (sin (/ -0.5 x)) (log1p (expm1 (/ (sin (/ -1 x)) (sin (/ -0.5 x))))))) in x 2.122 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 2.122 * [taylor]: Taking taylor expansion of (/ (sin (/ -0.5 x)) (log1p (expm1 (/ (sin (/ -1 x)) (sin (/ -0.5 x)))))) in x 2.122 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.122 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.122 * [taylor]: Taking taylor expansion of -0.5 in x 2.122 * [taylor]: Taking taylor expansion of x in x 2.122 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (sin (/ -1 x)) (sin (/ -0.5 x))))) in x 2.122 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (sin (/ -1 x)) (sin (/ -0.5 x)))))) 2.122 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (sin (/ -1 x)) (sin (/ -0.5 x))))) in x 2.122 * [taylor]: Taking taylor expansion of 1 in x 2.122 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) in x 2.122 * [taylor]: Rewrote expression to (- (exp (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) 1) 2.122 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) in x 2.122 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 2.122 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.122 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.123 * [taylor]: Taking taylor expansion of -1 in x 2.123 * [taylor]: Taking taylor expansion of x in x 2.123 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.123 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.123 * [taylor]: Taking taylor expansion of -0.5 in x 2.123 * [taylor]: Taking taylor expansion of x in x 2.123 * [taylor]: Taking taylor expansion of 1 in x 2.124 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (sin (/ -0.5 x)) (log1p (expm1 (/ (sin (/ -1 x)) (sin (/ -0.5 x))))))) in x 2.124 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 2.124 * [taylor]: Taking taylor expansion of (/ (sin (/ -0.5 x)) (log1p (expm1 (/ (sin (/ -1 x)) (sin (/ -0.5 x)))))) in x 2.124 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.124 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.124 * [taylor]: Taking taylor expansion of -0.5 in x 2.124 * [taylor]: Taking taylor expansion of x in x 2.125 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (sin (/ -1 x)) (sin (/ -0.5 x))))) in x 2.125 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (sin (/ -1 x)) (sin (/ -0.5 x)))))) 2.125 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (sin (/ -1 x)) (sin (/ -0.5 x))))) in x 2.125 * [taylor]: Taking taylor expansion of 1 in x 2.125 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) in x 2.125 * [taylor]: Rewrote expression to (- (exp (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) 1) 2.125 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) in x 2.125 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 2.125 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.125 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.125 * [taylor]: Taking taylor expansion of -1 in x 2.125 * [taylor]: Taking taylor expansion of x in x 2.125 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.125 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.126 * [taylor]: Taking taylor expansion of -0.5 in x 2.126 * [taylor]: Taking taylor expansion of x in x 2.126 * [taylor]: Taking taylor expansion of 1 in x 2.179 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1) 2.179 * [approximate]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in (x) around 0 2.180 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 2.180 * [taylor]: Taking taylor expansion of (sin x) in x 2.180 * [taylor]: Taking taylor expansion of x in x 2.180 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 2.180 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 2.180 * [taylor]: Taking taylor expansion of 0.5 in x 2.180 * [taylor]: Taking taylor expansion of x in x 2.183 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 2.183 * [taylor]: Taking taylor expansion of (sin x) in x 2.183 * [taylor]: Taking taylor expansion of x in x 2.183 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 2.183 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 2.183 * [taylor]: Taking taylor expansion of 0.5 in x 2.183 * [taylor]: Taking taylor expansion of x in x 2.214 * [approximate]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in (x) around 0 2.214 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 2.214 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.214 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.214 * [taylor]: Taking taylor expansion of x in x 2.214 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.214 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.214 * [taylor]: Taking taylor expansion of 0.5 in x 2.214 * [taylor]: Taking taylor expansion of x in x 2.215 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 2.215 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.215 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.215 * [taylor]: Taking taylor expansion of x in x 2.215 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.215 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.215 * [taylor]: Taking taylor expansion of 0.5 in x 2.215 * [taylor]: Taking taylor expansion of x in x 2.217 * [approximate]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in (x) around 0 2.217 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 2.217 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.218 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.218 * [taylor]: Taking taylor expansion of -1 in x 2.218 * [taylor]: Taking taylor expansion of x in x 2.218 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.218 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.218 * [taylor]: Taking taylor expansion of -0.5 in x 2.218 * [taylor]: Taking taylor expansion of x in x 2.219 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 2.219 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.219 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.219 * [taylor]: Taking taylor expansion of -1 in x 2.219 * [taylor]: Taking taylor expansion of x in x 2.219 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.219 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.219 * [taylor]: Taking taylor expansion of -0.5 in x 2.219 * [taylor]: Taking taylor expansion of x in x 2.221 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 2.221 * [approximate]: Taking taylor expansion of (expm1 (/ (sin x) (sin (* 0.5 x)))) in (x) around 0 2.221 * [taylor]: Taking taylor expansion of (expm1 (/ (sin x) (sin (* 0.5 x)))) in x 2.222 * [taylor]: Rewrote expression to (- (exp (/ (sin x) (sin (* 0.5 x)))) 1) 2.222 * [taylor]: Taking taylor expansion of (exp (/ (sin x) (sin (* 0.5 x)))) in x 2.222 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 2.222 * [taylor]: Taking taylor expansion of (sin x) in x 2.222 * [taylor]: Taking taylor expansion of x in x 2.222 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 2.222 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 2.222 * [taylor]: Taking taylor expansion of 0.5 in x 2.222 * [taylor]: Taking taylor expansion of x in x 2.226 * [taylor]: Taking taylor expansion of 1 in x 2.226 * [taylor]: Taking taylor expansion of (expm1 (/ (sin x) (sin (* 0.5 x)))) in x 2.226 * [taylor]: Rewrote expression to (- (exp (/ (sin x) (sin (* 0.5 x)))) 1) 2.226 * [taylor]: Taking taylor expansion of (exp (/ (sin x) (sin (* 0.5 x)))) in x 2.226 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 2.226 * [taylor]: Taking taylor expansion of (sin x) in x 2.226 * [taylor]: Taking taylor expansion of x in x 2.226 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 2.226 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 2.226 * [taylor]: Taking taylor expansion of 0.5 in x 2.226 * [taylor]: Taking taylor expansion of x in x 2.230 * [taylor]: Taking taylor expansion of 1 in x 2.286 * [approximate]: Taking taylor expansion of (expm1 (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) in (x) around 0 2.286 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) in x 2.286 * [taylor]: Rewrote expression to (- (exp (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) 1) 2.286 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) in x 2.286 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 2.286 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.286 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.286 * [taylor]: Taking taylor expansion of x in x 2.287 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.287 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.287 * [taylor]: Taking taylor expansion of 0.5 in x 2.287 * [taylor]: Taking taylor expansion of x in x 2.287 * [taylor]: Taking taylor expansion of 1 in x 2.287 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) in x 2.287 * [taylor]: Rewrote expression to (- (exp (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) 1) 2.287 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) in x 2.287 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 2.287 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.287 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.287 * [taylor]: Taking taylor expansion of x in x 2.288 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.288 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.288 * [taylor]: Taking taylor expansion of 0.5 in x 2.288 * [taylor]: Taking taylor expansion of x in x 2.288 * [taylor]: Taking taylor expansion of 1 in x 2.303 * [approximate]: Taking taylor expansion of (expm1 (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) in (x) around 0 2.303 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) in x 2.303 * [taylor]: Rewrote expression to (- (exp (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) 1) 2.303 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) in x 2.303 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 2.303 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.303 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.303 * [taylor]: Taking taylor expansion of -1 in x 2.303 * [taylor]: Taking taylor expansion of x in x 2.303 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.303 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.303 * [taylor]: Taking taylor expansion of -0.5 in x 2.303 * [taylor]: Taking taylor expansion of x in x 2.304 * [taylor]: Taking taylor expansion of 1 in x 2.304 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) in x 2.304 * [taylor]: Rewrote expression to (- (exp (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) 1) 2.304 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) in x 2.304 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 2.304 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.304 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.304 * [taylor]: Taking taylor expansion of -1 in x 2.304 * [taylor]: Taking taylor expansion of x in x 2.304 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.304 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.304 * [taylor]: Taking taylor expansion of -0.5 in x 2.304 * [taylor]: Taking taylor expansion of x in x 2.306 * [taylor]: Taking taylor expansion of 1 in x 2.321 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 2.321 * [approximate]: Taking taylor expansion of (log1p (expm1 (/ (sin x) (sin (* 0.5 x))))) in (x) around 0 2.321 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (sin x) (sin (* 0.5 x))))) in x 2.321 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (sin x) (sin (* 0.5 x)))))) 2.321 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (sin x) (sin (* 0.5 x))))) in x 2.321 * [taylor]: Taking taylor expansion of 1 in x 2.321 * [taylor]: Taking taylor expansion of (expm1 (/ (sin x) (sin (* 0.5 x)))) in x 2.321 * [taylor]: Rewrote expression to (- (exp (/ (sin x) (sin (* 0.5 x)))) 1) 2.321 * [taylor]: Taking taylor expansion of (exp (/ (sin x) (sin (* 0.5 x)))) in x 2.321 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 2.321 * [taylor]: Taking taylor expansion of (sin x) in x 2.321 * [taylor]: Taking taylor expansion of x in x 2.321 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 2.321 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 2.321 * [taylor]: Taking taylor expansion of 0.5 in x 2.321 * [taylor]: Taking taylor expansion of x in x 2.332 * [taylor]: Taking taylor expansion of 1 in x 2.334 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (sin x) (sin (* 0.5 x))))) in x 2.334 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (sin x) (sin (* 0.5 x)))))) 2.334 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (sin x) (sin (* 0.5 x))))) in x 2.335 * [taylor]: Taking taylor expansion of 1 in x 2.335 * [taylor]: Taking taylor expansion of (expm1 (/ (sin x) (sin (* 0.5 x)))) in x 2.335 * [taylor]: Rewrote expression to (- (exp (/ (sin x) (sin (* 0.5 x)))) 1) 2.335 * [taylor]: Taking taylor expansion of (exp (/ (sin x) (sin (* 0.5 x)))) in x 2.335 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 2.335 * [taylor]: Taking taylor expansion of (sin x) in x 2.335 * [taylor]: Taking taylor expansion of x in x 2.335 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 2.335 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 2.335 * [taylor]: Taking taylor expansion of 0.5 in x 2.335 * [taylor]: Taking taylor expansion of x in x 2.339 * [taylor]: Taking taylor expansion of 1 in x 2.437 * [approximate]: Taking taylor expansion of (log1p (expm1 (/ (sin (/ 1 x)) (sin (/ 0.5 x))))) in (x) around 0 2.437 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (sin (/ 1 x)) (sin (/ 0.5 x))))) in x 2.437 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (sin (/ 1 x)) (sin (/ 0.5 x)))))) 2.437 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (sin (/ 1 x)) (sin (/ 0.5 x))))) in x 2.437 * [taylor]: Taking taylor expansion of 1 in x 2.437 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) in x 2.437 * [taylor]: Rewrote expression to (- (exp (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) 1) 2.437 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) in x 2.437 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 2.437 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.437 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.437 * [taylor]: Taking taylor expansion of x in x 2.437 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.437 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.437 * [taylor]: Taking taylor expansion of 0.5 in x 2.438 * [taylor]: Taking taylor expansion of x in x 2.438 * [taylor]: Taking taylor expansion of 1 in x 2.439 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (sin (/ 1 x)) (sin (/ 0.5 x))))) in x 2.439 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (sin (/ 1 x)) (sin (/ 0.5 x)))))) 2.439 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (sin (/ 1 x)) (sin (/ 0.5 x))))) in x 2.439 * [taylor]: Taking taylor expansion of 1 in x 2.439 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) in x 2.439 * [taylor]: Rewrote expression to (- (exp (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) 1) 2.439 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) in x 2.439 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 2.439 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.439 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.439 * [taylor]: Taking taylor expansion of x in x 2.439 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.439 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.439 * [taylor]: Taking taylor expansion of 0.5 in x 2.439 * [taylor]: Taking taylor expansion of x in x 2.440 * [taylor]: Taking taylor expansion of 1 in x 2.476 * [approximate]: Taking taylor expansion of (log1p (expm1 (/ (sin (/ -1 x)) (sin (/ -0.5 x))))) in (x) around 0 2.476 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (sin (/ -1 x)) (sin (/ -0.5 x))))) in x 2.476 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (sin (/ -1 x)) (sin (/ -0.5 x)))))) 2.476 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (sin (/ -1 x)) (sin (/ -0.5 x))))) in x 2.476 * [taylor]: Taking taylor expansion of 1 in x 2.476 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) in x 2.477 * [taylor]: Rewrote expression to (- (exp (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) 1) 2.477 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) in x 2.477 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 2.477 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.477 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.477 * [taylor]: Taking taylor expansion of -1 in x 2.477 * [taylor]: Taking taylor expansion of x in x 2.477 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.477 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.477 * [taylor]: Taking taylor expansion of -0.5 in x 2.477 * [taylor]: Taking taylor expansion of x in x 2.478 * [taylor]: Taking taylor expansion of 1 in x 2.478 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (sin (/ -1 x)) (sin (/ -0.5 x))))) in x 2.478 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (sin (/ -1 x)) (sin (/ -0.5 x)))))) 2.478 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (sin (/ -1 x)) (sin (/ -0.5 x))))) in x 2.478 * [taylor]: Taking taylor expansion of 1 in x 2.478 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) in x 2.478 * [taylor]: Rewrote expression to (- (exp (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) 1) 2.478 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) in x 2.478 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 2.478 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.478 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.478 * [taylor]: Taking taylor expansion of -1 in x 2.478 * [taylor]: Taking taylor expansion of x in x 2.479 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.479 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.479 * [taylor]: Taking taylor expansion of -0.5 in x 2.479 * [taylor]: Taking taylor expansion of x in x 2.479 * [taylor]: Taking taylor expansion of 1 in x 2.523 * * * [progress]: simplifying candidates 2.524 * [simplify]: Simplifying using # : (expm1 (/ (* 8.0 (sin (* x 0.5))) (* (log1p (expm1 (/ (sin x) (sin (* 0.5 x))))) 3.0))) (log1p (/ (* 8.0 (sin (* x 0.5))) (* (log1p (expm1 (/ (sin x) (sin (* 0.5 x))))) 3.0))) (- (+ (log 8.0) (log (sin (* x 0.5)))) (+ (log (log1p (expm1 (/ (sin x) (sin (* 0.5 x)))))) (log 3.0))) (- (+ (log 8.0) (log (sin (* x 0.5)))) (log (* (log1p (expm1 (/ (sin x) (sin (* 0.5 x))))) 3.0))) (- (log (* 8.0 (sin (* x 0.5)))) (+ (log (log1p (expm1 (/ (sin x) (sin (* 0.5 x)))))) (log 3.0))) (- (log (* 8.0 (sin (* x 0.5)))) (log (* (log1p (expm1 (/ (sin x) (sin (* 0.5 x))))) 3.0))) (log (/ (* 8.0 (sin (* x 0.5))) (* (log1p (expm1 (/ (sin x) (sin (* 0.5 x))))) 3.0))) (exp (/ (* 8.0 (sin (* x 0.5))) (* (log1p (expm1 (/ (sin x) (sin (* 0.5 x))))) 3.0))) (/ (* (* (* 8.0 8.0) 8.0) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* (* (log1p (expm1 (/ (sin x) (sin (* 0.5 x))))) (log1p (expm1 (/ (sin x) (sin (* 0.5 x)))))) (log1p (expm1 (/ (sin x) (sin (* 0.5 x)))))) (* (* 3.0 3.0) 3.0))) (/ (* (* (* 8.0 8.0) 8.0) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* (* (log1p (expm1 (/ (sin x) (sin (* 0.5 x))))) 3.0) (* (log1p (expm1 (/ (sin x) (sin (* 0.5 x))))) 3.0)) (* (log1p (expm1 (/ (sin x) (sin (* 0.5 x))))) 3.0))) (/ (* (* (* 8.0 (sin (* x 0.5))) (* 8.0 (sin (* x 0.5)))) (* 8.0 (sin (* x 0.5)))) (* (* (* (log1p (expm1 (/ (sin x) (sin (* 0.5 x))))) (log1p (expm1 (/ (sin x) (sin (* 0.5 x)))))) (log1p (expm1 (/ (sin x) (sin (* 0.5 x)))))) (* (* 3.0 3.0) 3.0))) (/ (* (* (* 8.0 (sin (* x 0.5))) (* 8.0 (sin (* x 0.5)))) (* 8.0 (sin (* x 0.5)))) (* (* (* (log1p (expm1 (/ (sin x) (sin (* 0.5 x))))) 3.0) (* (log1p (expm1 (/ (sin x) (sin (* 0.5 x))))) 3.0)) (* (log1p (expm1 (/ (sin x) (sin (* 0.5 x))))) 3.0))) (* (cbrt (/ (* 8.0 (sin (* x 0.5))) (* (log1p (expm1 (/ (sin x) (sin (* 0.5 x))))) 3.0))) (cbrt (/ (* 8.0 (sin (* x 0.5))) (* (log1p (expm1 (/ (sin x) (sin (* 0.5 x))))) 3.0)))) (cbrt (/ (* 8.0 (sin (* x 0.5))) (* (log1p (expm1 (/ (sin x) (sin (* 0.5 x))))) 3.0))) (* (* (/ (* 8.0 (sin (* x 0.5))) (* (log1p 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x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x))) 2.570 * * * [progress]: adding candidates to table 2.826 * [progress]: [Phase 3 of 3] Extracting. 2.826 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 2.827 * * * [regime-changes]: Trying 1 branch expressions: (x) 2.827 * * * * [regimes]: Trying to branch on x from (# # # # # # # # #) 2.865 * * * [regime]: Found split indices: #