9.049 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.064 * * * [progress]: [2/2] Setting up program. 0.067 * [progress]: [Phase 2 of 3] Improving. 0.067 * [simplify]: Simplifying using # : (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x)) 0.071 * * [simplify]: iteration 0 : 20 enodes (cost 9 ) 0.073 * * [simplify]: iteration 1 : 43 enodes (cost 9 ) 0.076 * * [simplify]: iteration 2 : 93 enodes (cost 9 ) 0.079 * * [simplify]: iteration 3 : 174 enodes (cost 9 ) 0.083 * * [simplify]: iteration 4 : 269 enodes (cost 9 ) 0.087 * * [simplify]: iteration 5 : 288 enodes (cost 9 ) 0.092 * * [simplify]: iteration 6 : 288 enodes (cost 9 ) 0.092 * [simplify]: Simplified to: (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x)) 0.092 * * [progress]: iteration 1 / 4 0.093 * * * [progress]: picking best candidate 0.095 * * * * [pick]: Picked # 0.095 * * * [progress]: localizing error 0.106 * * * [progress]: generating rewritten candidates 0.106 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.126 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.137 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.159 * * * [progress]: generating series expansions 0.159 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.160 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in (x) around 0 0.160 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.160 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.160 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 0.160 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.161 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.161 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.161 * [taylor]: Taking taylor expansion of 0.5 in x 0.161 * [taylor]: Taking taylor expansion of x in x 0.164 * [taylor]: Taking taylor expansion of (sin x) in x 0.164 * [taylor]: Taking taylor expansion of x in x 0.165 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.165 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.165 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 0.165 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.165 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.165 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.165 * [taylor]: Taking taylor expansion of 0.5 in x 0.165 * [taylor]: Taking taylor expansion of x in x 0.172 * [taylor]: Taking taylor expansion of (sin x) in x 0.172 * [taylor]: Taking taylor expansion of x in x 0.213 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in (x) around 0 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 0.213 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.213 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.214 * [taylor]: Taking taylor expansion of x in x 0.214 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 0.214 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.214 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 0.214 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.214 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.214 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.214 * [taylor]: Taking taylor expansion of 0.5 in x 0.214 * [taylor]: Taking taylor expansion of x in x 0.215 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.215 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.229 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in (x) around 0 0.229 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.229 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.229 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 0.230 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) 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 0.230 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.230 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.230 * [taylor]: Taking taylor expansion of -1 in x 0.230 * [taylor]: Taking taylor expansion of x in x 0.231 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.231 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.231 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 0.231 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.231 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.231 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.231 * [taylor]: Taking taylor expansion of -0.5 in x 0.231 * [taylor]: Taking taylor expansion of x in x 0.231 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.231 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.231 * [taylor]: Taking taylor expansion of -1 in x 0.231 * [taylor]: Taking taylor expansion of x in x 0.245 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.246 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in (x) around 0 0.246 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 0.246 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.246 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.246 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.246 * [taylor]: Taking taylor expansion of 0.5 in x 0.246 * [taylor]: Taking taylor expansion of x in x 0.247 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 0.247 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.247 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.247 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.247 * [taylor]: Taking taylor expansion of 0.5 in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.273 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in (x) around 0 0.273 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 0.274 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.274 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.274 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.274 * [taylor]: Taking taylor expansion of 0.5 in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.274 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 0.274 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.274 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.274 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.274 * [taylor]: Taking taylor expansion of 0.5 in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.280 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in (x) around 0 0.280 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 0.280 * [taylor]: Taking taylor expansion of 2.6666666666666665 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 0.281 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 0.281 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.281 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.281 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.281 * [taylor]: Taking taylor expansion of -0.5 in x 0.281 * [taylor]: Taking taylor expansion of x in x 0.287 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.287 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (* 0.5 x)) 2)) in (x) around 0 0.287 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (* 0.5 x)) 2)) in x 0.287 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.287 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.287 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.287 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.287 * [taylor]: Taking taylor expansion of 0.5 in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.290 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (* 0.5 x)) 2)) in x 0.290 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.290 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.290 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.290 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.290 * [taylor]: Taking taylor expansion of 0.5 in x 0.290 * [taylor]: Taking taylor expansion of x in x 0.321 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ 0.5 x)) 2)) in (x) around 0 0.321 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ 0.5 x)) 2)) in x 0.321 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.321 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.321 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.321 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.321 * [taylor]: Taking taylor expansion of 0.5 in x 0.321 * [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 0.322 * [taylor]: Taking taylor expansion of 0.5 in x 0.322 * [taylor]: Taking taylor expansion of x in x 0.334 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ -0.5 x)) 2)) in (x) around 0 0.334 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ -0.5 x)) 2)) in x 0.334 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.334 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.334 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.334 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.334 * [taylor]: Taking taylor expansion of -0.5 in x 0.334 * [taylor]: Taking taylor expansion of x in x 0.335 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ -0.5 x)) 2)) in x 0.335 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.335 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.335 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.335 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.335 * [taylor]: Taking taylor expansion of -0.5 in x 0.335 * [taylor]: Taking taylor expansion of x in x 0.345 * * * [progress]: simplifying candidates 0.347 * [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)) 0.359 * * [simplify]: iteration 0 : 412 enodes (cost 862 ) 0.371 * * [simplify]: iteration 1 : 2127 enodes (cost 656 ) 0.410 * * [simplify]: iteration 2 : 5001 enodes (cost 637 ) 0.414 * [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)) 0.415 * * * [progress]: adding candidates to table 0.645 * * [progress]: iteration 2 / 4 0.646 * * * [progress]: picking best candidate 0.674 * * * * [pick]: Picked # 0.674 * * * [progress]: localizing error 0.688 * * * [progress]: generating rewritten candidates 0.688 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.698 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.720 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.726 * * * [progress]: generating series expansions 0.727 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.727 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in (x) around 0 0.727 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 0.727 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.727 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.728 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.728 * [taylor]: Taking taylor expansion of 0.5 in x 0.728 * [taylor]: Taking taylor expansion of x in x 0.729 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 0.729 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.729 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.729 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.729 * [taylor]: Taking taylor expansion of 0.5 in x 0.729 * [taylor]: Taking taylor expansion of x in x 0.752 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in (x) around 0 0.752 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 0.752 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.752 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.752 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.752 * [taylor]: Taking taylor expansion of 0.5 in x 0.752 * [taylor]: Taking taylor expansion of x in x 0.752 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 0.752 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.752 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.752 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.752 * [taylor]: Taking taylor expansion of 0.5 in x 0.752 * [taylor]: Taking taylor expansion of x in x 0.758 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in (x) around 0 0.758 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 0.758 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.758 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.758 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.759 * [taylor]: Taking taylor expansion of -0.5 in x 0.759 * [taylor]: Taking taylor expansion of x in x 0.759 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 0.759 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.759 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.759 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.759 * [taylor]: Taking taylor expansion of -0.5 in x 0.759 * [taylor]: Taking taylor expansion of x in x 0.769 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.769 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in (x) around 0 0.770 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.770 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.770 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 0.770 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.770 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.770 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.770 * [taylor]: Taking taylor expansion of 0.5 in x 0.770 * [taylor]: Taking taylor expansion of x in x 0.772 * [taylor]: Taking taylor expansion of (sin x) in x 0.773 * [taylor]: Taking taylor expansion of x in x 0.774 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.774 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.774 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 0.774 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.774 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.774 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.774 * [taylor]: Taking taylor expansion of 0.5 in x 0.774 * [taylor]: Taking taylor expansion of x in x 0.776 * [taylor]: Taking taylor expansion of (sin x) in x 0.776 * [taylor]: Taking taylor expansion of x in x 0.813 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in (x) around 0 0.813 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 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 (/ 1 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 0.814 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.814 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.814 * [taylor]: Taking taylor expansion of x in x 0.814 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 0.814 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.814 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 0.814 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.814 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.814 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.815 * [taylor]: Taking taylor expansion of 0.5 in x 0.815 * [taylor]: Taking taylor expansion of x in x 0.815 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.815 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.815 * [taylor]: Taking taylor expansion of x in x 0.829 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in (x) around 0 0.829 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.829 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.829 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 0.829 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.829 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.829 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.830 * [taylor]: Taking taylor expansion of -0.5 in x 0.830 * [taylor]: Taking taylor expansion of x in x 0.830 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.830 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.830 * [taylor]: Taking taylor expansion of -1 in x 0.830 * [taylor]: Taking taylor expansion of x in x 0.831 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.831 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.831 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 0.831 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.831 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.831 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.831 * [taylor]: Taking taylor expansion of -0.5 in x 0.831 * [taylor]: Taking taylor expansion of x in x 0.831 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.831 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.831 * [taylor]: Taking taylor expansion of -1 in x 0.831 * [taylor]: Taking taylor expansion of x in x 0.845 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.845 * [approximate]: Taking taylor expansion of (/ (sin (* 0.5 x)) (sin x)) in (x) around 0 0.845 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 x)) (sin x)) in x 0.845 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.846 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.846 * [taylor]: Taking taylor expansion of 0.5 in x 0.846 * [taylor]: Taking taylor expansion of x in x 0.847 * [taylor]: Taking taylor expansion of (sin x) in x 0.847 * [taylor]: Taking taylor expansion of x in x 0.849 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 x)) (sin x)) in x 0.849 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.849 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.849 * [taylor]: Taking taylor expansion of 0.5 in x 0.849 * [taylor]: Taking taylor expansion of x in x 0.854 * [taylor]: Taking taylor expansion of (sin x) in x 0.854 * [taylor]: Taking taylor expansion of x in x 0.880 * [approximate]: Taking taylor expansion of (/ (sin (/ 0.5 x)) (sin (/ 1 x))) in (x) around 0 0.881 * [taylor]: Taking taylor expansion of (/ (sin (/ 0.5 x)) (sin (/ 1 x))) in x 0.881 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.881 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.881 * [taylor]: Taking taylor expansion of 0.5 in x 0.881 * [taylor]: Taking taylor expansion of x in x 0.881 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.881 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.881 * [taylor]: Taking taylor expansion of x in x 0.881 * [taylor]: Taking taylor expansion of (/ (sin (/ 0.5 x)) (sin (/ 1 x))) in x 0.881 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.881 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.881 * [taylor]: Taking taylor expansion of 0.5 in x 0.881 * [taylor]: Taking taylor expansion of x in x 0.882 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.882 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.882 * [taylor]: Taking taylor expansion of x in x 0.884 * [approximate]: Taking taylor expansion of (/ (sin (/ -0.5 x)) (sin (/ -1 x))) in (x) around 0 0.884 * [taylor]: Taking taylor expansion of (/ (sin (/ -0.5 x)) (sin (/ -1 x))) in x 0.884 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.884 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.884 * [taylor]: Taking taylor expansion of -0.5 in x 0.884 * [taylor]: Taking taylor expansion of x in x 0.885 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.885 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.885 * [taylor]: Taking taylor expansion of -1 in x 0.885 * [taylor]: Taking taylor expansion of x in x 0.885 * [taylor]: Taking taylor expansion of (/ (sin (/ -0.5 x)) (sin (/ -1 x))) in x 0.885 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.885 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.885 * [taylor]: Taking taylor expansion of -0.5 in x 0.885 * [taylor]: Taking taylor expansion of x in x 0.886 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.886 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.886 * [taylor]: Taking taylor expansion of -1 in x 0.886 * [taylor]: Taking taylor expansion of x in x 0.888 * * * [progress]: simplifying candidates 0.890 * [simplify]: Simplifying using # : (expm1 (* (/ 8.0 3.0) (sin (* x 0.5)))) (log1p (* (/ 8.0 3.0) (sin (* x 0.5)))) (* (/ 8.0 3.0) (sin (* x 0.5))) (+ (- (log 8.0) (log 3.0)) (log (sin (* x 0.5)))) (+ (log (/ 8.0 3.0)) (log (sin (* x 0.5)))) (log (* (/ 8.0 3.0) (sin (* x 0.5)))) (exp (* (/ 8.0 3.0) (sin (* x 0.5)))) (* (/ (* (* 8.0 8.0) 8.0) (* (* 3.0 3.0) 3.0)) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* (* (/ 8.0 3.0) (/ 8.0 3.0)) (/ 8.0 3.0)) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (cbrt (* (/ 8.0 3.0) (sin (* x 0.5)))) (cbrt (* (/ 8.0 3.0) (sin (* x 0.5))))) (cbrt (* (/ 8.0 3.0) (sin (* x 0.5)))) (* (* (* (/ 8.0 3.0) (sin (* x 0.5))) (* (/ 8.0 3.0) (sin (* x 0.5)))) (* (/ 8.0 3.0) (sin (* x 0.5)))) (sqrt (* (/ 8.0 3.0) (sin (* x 0.5)))) (sqrt (* (/ 8.0 3.0) (sin (* x 0.5)))) (* (sqrt (/ 8.0 3.0)) (sqrt (sin (* x 0.5)))) (* (sqrt (/ 8.0 3.0)) (sqrt (sin (* x 0.5)))) (* (/ (sqrt 8.0) (sqrt 3.0)) (sqrt (sin (* x 0.5)))) (* (/ (sqrt 8.0) (sqrt 3.0)) (sqrt (sin (* x 0.5)))) (* (/ 8.0 3.0) (* (cbrt (sin (* x 0.5))) (cbrt (sin (* x 0.5))))) (* (/ 8.0 3.0) (sqrt (sin (* x 0.5)))) (* (/ 8.0 3.0) 1) (* (cbrt (/ 8.0 3.0)) (sin (* x 0.5))) (* (sqrt (/ 8.0 3.0)) (sin (* x 0.5))) (* (/ (cbrt 8.0) (cbrt 3.0)) (sin (* x 0.5))) (* (/ (cbrt 8.0) (sqrt 3.0)) (sin (* x 0.5))) (* (/ (cbrt 8.0) 3.0) (sin (* x 0.5))) (* (/ (sqrt 8.0) (cbrt 3.0)) (sin (* x 0.5))) (* (/ (sqrt 8.0) (sqrt 3.0)) (sin (* x 0.5))) (* (/ (sqrt 8.0) 3.0) (sin (* x 0.5))) (* (/ 8.0 (cbrt 3.0)) (sin (* x 0.5))) (* (/ 8.0 (sqrt 3.0)) (sin (* x 0.5))) (* (/ 8.0 3.0) (sin (* x 0.5))) (* (/ 8.0 3.0) (sin (* x 0.5))) (* (/ 1 3.0) (sin (* x 0.5))) (* 8.0 (sin (* x 0.5))) (expm1 (* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))) (log1p (* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))) (* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x))) (* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x))) (+ (+ (- (log 8.0) (log 3.0)) (log (sin (* x 0.5)))) (- (log (sin (* 0.5 x))) (log (sin x)))) (+ (+ (- (log 8.0) (log 3.0)) (log (sin (* x 0.5)))) (log (/ (sin (* 0.5 x)) (sin x)))) (+ (+ (log (/ 8.0 3.0)) (log (sin (* x 0.5)))) (- (log (sin (* 0.5 x))) (log (sin x)))) (+ (+ (log (/ 8.0 3.0)) (log (sin (* x 0.5)))) (log (/ 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(cbrt (sin x))) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (sqrt (sin x))) (/ (cbrt (sin (* 0.5 x))) (sqrt (sin x))) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) 1) (/ (cbrt (sin (* 0.5 x))) (sin x)) (/ (sqrt (sin (* 0.5 x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (sin (* 0.5 x))) (cbrt (sin x))) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x))) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x))) (/ (sqrt (sin (* 0.5 x))) 1) (/ (sqrt (sin (* 0.5 x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sin (* 0.5 x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (sin (* 0.5 x)) (sqrt (sin x))) (/ 1 1) (/ (sin (* 0.5 x)) (sin x)) (/ 1 (sin x)) (/ (sin x) (sin (* 0.5 x))) (/ (sin (* 0.5 x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sin (* 0.5 x)) (sqrt (sin x))) (/ (sin (* 0.5 x)) 1) (/ (sin x) (cbrt (sin (* 0.5 x)))) (/ (sin x) (sqrt (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 x))) (- (+ (* 1.3333333333333333 x) (* 0.0006944444444444444 (pow x 5))) (* 0.05555555555555555 (pow x 3))) (* 2.6666666666666665 (sin (* 0.5 x))) (* 2.6666666666666665 (sin (* 0.5 x))) (+ (* 0.05555555555555555 (pow x 3)) (+ (* 0.005555555555555554 (pow x 5)) (* 0.6666666666666666 x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (+ (* 0.0625 (pow x 2)) (+ (* 0.006510416666666666 (pow x 4)) 0.5)) (/ (sin (* 0.5 x)) (sin x)) (/ (sin (* 0.5 x)) (sin x)) 0.898 * * [simplify]: iteration 0 : 474 enodes (cost 1006 ) 0.911 * * [simplify]: iteration 1 : 2505 enodes (cost 814 ) 0.953 * * [simplify]: iteration 2 : 5001 enodes (cost 799 ) 0.957 * [simplify]: Simplified to: (expm1 (* (/ 8.0 3.0) (sin (* x 0.5)))) (log1p (* (/ 8.0 3.0) (sin (* x 0.5)))) (* (/ 8.0 3.0) (sin (* x 0.5))) (log (* (/ 8.0 3.0) (sin (* x 0.5)))) (log (* (/ 8.0 3.0) (sin (* x 0.5)))) (log (* (/ 8.0 3.0) (sin (* x 0.5)))) (exp (* (/ 8.0 3.0) (sin (* x 0.5)))) (pow (* (/ 8.0 3.0) (sin (* x 0.5))) 3) (pow (* (/ 8.0 3.0) (sin (* x 0.5))) 3) (* (cbrt (* (/ 8.0 3.0) (sin (* x 0.5)))) (cbrt (* (/ 8.0 3.0) (sin (* x 0.5))))) (cbrt (* (/ 8.0 3.0) (sin (* x 0.5)))) (pow (* (/ 8.0 3.0) (sin (* x 0.5))) 3) (sqrt (* (/ 8.0 3.0) (sin (* x 0.5)))) (sqrt (* (/ 8.0 3.0) (sin (* x 0.5)))) (* (sqrt (/ 8.0 3.0)) (sqrt (sin (* x 0.5)))) (* (sqrt (/ 8.0 3.0)) (sqrt (sin (* x 0.5)))) (* (/ (sqrt 8.0) (sqrt 3.0)) (sqrt (sin (* x 0.5)))) (* (/ (sqrt 8.0) (sqrt 3.0)) (sqrt (sin (* x 0.5)))) (* (/ 8.0 3.0) (* (cbrt (sin (* x 0.5))) (cbrt (sin (* x 0.5))))) (* (/ 8.0 3.0) (sqrt (sin (* x 0.5)))) (/ 8.0 3.0) (* (cbrt (/ 8.0 3.0)) (sin (* x 0.5))) (* (sqrt (/ 8.0 3.0)) (sin (* x 0.5))) (* (/ (cbrt 8.0) (cbrt 3.0)) (sin (* x 0.5))) (* (/ (cbrt 8.0) (sqrt 3.0)) (sin (* x 0.5))) (* (/ (cbrt 8.0) 3.0) (sin (* x 0.5))) (* (/ (sqrt 8.0) (cbrt 3.0)) (sin (* x 0.5))) (* (/ (sqrt 8.0) (sqrt 3.0)) (sin (* x 0.5))) (* (/ (sqrt 8.0) 3.0) (sin (* x 0.5))) (* (/ 8.0 (cbrt 3.0)) (sin (* x 0.5))) (* (/ 8.0 (sqrt 3.0)) (sin (* x 0.5))) (* (/ 8.0 3.0) (sin (* x 0.5))) (* (/ 8.0 3.0) 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x)))) (cbrt (/ (sin (* 0.5 x)) (sin x))) (pow (/ (sin (* 0.5 x)) (sin x)) 3) (sqrt (/ (sin (* 0.5 x)) (sin x))) (sqrt (/ (sin (* 0.5 x)) (sin x))) (- (sin (* 0.5 x))) (- (sin x)) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt (sin (* 0.5 x))) (cbrt (sin x))) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (sqrt (sin x))) (/ (cbrt (sin (* 0.5 x))) (sqrt (sin x))) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (/ (cbrt (sin (* 0.5 x))) (sin x)) (/ (sqrt (sin (* 0.5 x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (sin (* 0.5 x))) (cbrt (sin x))) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x))) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x))) (sqrt (sin (* 0.5 x))) (/ (sqrt (sin (* 0.5 x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sin (* 0.5 x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (sin (* 0.5 x)) (sqrt (sin x))) 1 (/ (sin (* 0.5 x)) (sin x)) (/ 1 (sin x)) (/ (sin x) (sin (* 0.5 x))) (/ (sin (* 0.5 x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sin (* 0.5 x)) (sqrt (sin x))) (sin (* 0.5 x)) (/ (sin x) (cbrt (sin (* 0.5 x)))) (/ (sin x) (sqrt (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 x))) (fma x 1.3333333333333333 (- (* 0.0006944444444444444 (pow x 5)) (* 0.05555555555555555 (pow x 3)))) (* 2.6666666666666665 (sin (* 0.5 x))) (* 2.6666666666666665 (sin (* 0.5 x))) (fma 0.05555555555555555 (pow x 3) (fma 0.005555555555555554 (pow x 5) (* 0.6666666666666666 x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (fma 0.0625 (pow x 2) (fma 0.006510416666666666 (pow x 4) 0.5)) (/ (sin (* 0.5 x)) (sin x)) (/ (sin (* 0.5 x)) (sin x)) 0.957 * * * [progress]: adding candidates to table 1.232 * * [progress]: iteration 3 / 4 1.232 * * * [progress]: picking best candidate 1.252 * * * * [pick]: Picked # 1.252 * * * [progress]: localizing error 1.263 * * * [progress]: generating rewritten candidates 1.263 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 1.279 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 2) 1.283 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 1.290 * * * [progress]: generating series expansions 1.290 * * * * [progress]: [ 1 / 3 ] generating series at (2) 1.290 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in (x) around 0 1.290 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 1.290 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.290 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 1.290 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 1.290 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.290 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.290 * [taylor]: Taking taylor expansion of 0.5 in x 1.290 * [taylor]: Taking taylor expansion of x in x 1.294 * [taylor]: Taking taylor expansion of (sin x) in x 1.294 * [taylor]: Taking taylor expansion of x in x 1.295 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 1.295 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.295 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 1.295 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 1.295 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.295 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.295 * [taylor]: Taking taylor expansion of 0.5 in x 1.295 * [taylor]: Taking taylor expansion of x in x 1.298 * [taylor]: Taking taylor expansion of (sin x) in x 1.298 * [taylor]: Taking taylor expansion of x in x 1.342 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in (x) around 0 1.342 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 1.342 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.342 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 1.342 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 1.342 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.342 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.342 * [taylor]: Taking taylor expansion of 0.5 in x 1.342 * [taylor]: Taking taylor expansion of x in x 1.342 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.342 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.342 * [taylor]: Taking taylor expansion of x in x 1.343 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 1.343 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.343 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 1.343 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 1.343 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.343 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.343 * [taylor]: Taking taylor expansion of 0.5 in x 1.343 * [taylor]: Taking taylor expansion of x in x 1.343 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.344 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.344 * [taylor]: Taking taylor expansion of x in x 1.358 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in (x) around 0 1.358 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 1.358 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.358 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 1.358 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 1.358 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.358 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.358 * [taylor]: Taking taylor expansion of -0.5 in x 1.358 * [taylor]: Taking taylor expansion of x in x 1.359 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.359 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.359 * [taylor]: Taking taylor expansion of -1 in x 1.359 * [taylor]: Taking taylor expansion of x in x 1.359 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 1.359 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.359 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 1.359 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 1.359 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.359 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.359 * [taylor]: Taking taylor expansion of -0.5 in x 1.359 * [taylor]: Taking taylor expansion of x in x 1.360 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.360 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.360 * [taylor]: Taking taylor expansion of -1 in x 1.360 * [taylor]: Taking taylor expansion of x in x 1.374 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 2) 1.374 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (sin (* 0.5 x))) in (x) around 0 1.374 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (* 0.5 x))) in x 1.374 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.374 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.374 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.374 * [taylor]: Taking taylor expansion of 0.5 in x 1.374 * [taylor]: Taking taylor expansion of x in x 1.375 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (* 0.5 x))) in x 1.376 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.376 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.376 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.376 * [taylor]: Taking taylor expansion of 0.5 in x 1.376 * [taylor]: Taking taylor expansion of x in x 1.399 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ 0.5 x))) in (x) around 0 1.399 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ 0.5 x))) in x 1.400 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.400 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.400 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.400 * [taylor]: Taking taylor expansion of 0.5 in x 1.400 * [taylor]: Taking taylor expansion of x in x 1.400 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ 0.5 x))) in x 1.400 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.400 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.400 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.400 * [taylor]: Taking taylor expansion of 0.5 in x 1.400 * [taylor]: Taking taylor expansion of x in x 1.411 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ -0.5 x))) in (x) around 0 1.411 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ -0.5 x))) in x 1.411 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.411 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.411 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.411 * [taylor]: Taking taylor expansion of -0.5 in x 1.411 * [taylor]: Taking taylor expansion of x in x 1.412 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ -0.5 x))) in x 1.412 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.412 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.412 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.412 * [taylor]: Taking taylor expansion of -0.5 in x 1.412 * [taylor]: Taking taylor expansion of x in x 1.418 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 1.419 * [approximate]: Taking taylor expansion of (/ (sin (* 0.5 x)) (sin x)) in (x) around 0 1.419 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 x)) (sin x)) in x 1.419 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.419 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.419 * [taylor]: Taking taylor expansion of 0.5 in x 1.419 * [taylor]: Taking taylor expansion of x in x 1.420 * [taylor]: Taking taylor expansion of (sin x) in x 1.420 * [taylor]: Taking taylor expansion of x in x 1.422 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 x)) (sin x)) in x 1.422 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.422 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.423 * [taylor]: Taking taylor expansion of 0.5 in x 1.423 * [taylor]: Taking taylor expansion of x in x 1.424 * [taylor]: Taking taylor expansion of (sin x) in x 1.424 * [taylor]: Taking taylor expansion of x in x 1.452 * [approximate]: Taking taylor expansion of (/ (sin (/ 0.5 x)) (sin (/ 1 x))) in (x) around 0 1.452 * [taylor]: Taking taylor expansion of (/ (sin (/ 0.5 x)) (sin (/ 1 x))) in x 1.452 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.452 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.452 * [taylor]: Taking taylor expansion of 0.5 in x 1.452 * [taylor]: Taking taylor expansion of x in x 1.452 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.452 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.452 * [taylor]: Taking taylor expansion of x in x 1.453 * [taylor]: Taking taylor expansion of (/ (sin (/ 0.5 x)) (sin (/ 1 x))) in x 1.453 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.453 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.453 * [taylor]: Taking taylor expansion of 0.5 in x 1.453 * [taylor]: Taking taylor expansion of x in x 1.453 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.453 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.453 * [taylor]: Taking taylor expansion of x in x 1.455 * [approximate]: Taking taylor expansion of (/ (sin (/ -0.5 x)) (sin (/ -1 x))) in (x) around 0 1.456 * [taylor]: Taking taylor expansion of (/ (sin (/ -0.5 x)) (sin (/ -1 x))) in x 1.456 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.456 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.456 * [taylor]: Taking taylor expansion of -0.5 in x 1.456 * [taylor]: Taking taylor expansion of x in x 1.456 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.456 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.456 * [taylor]: Taking taylor expansion of -1 in x 1.456 * [taylor]: Taking taylor expansion of x in x 1.457 * [taylor]: Taking taylor expansion of (/ (sin (/ -0.5 x)) (sin (/ -1 x))) in x 1.457 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.457 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.457 * [taylor]: Taking taylor expansion of -0.5 in x 1.457 * [taylor]: Taking taylor expansion of x in x 1.457 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.457 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.457 * [taylor]: Taking taylor expansion of -1 in x 1.457 * [taylor]: Taking taylor expansion of x in x 1.460 * * * [progress]: simplifying candidates 1.462 * [simplify]: Simplifying using # : (expm1 (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))) (log1p (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x))) (+ (+ (log 8.0) (- (log (sin (* 0.5 x))) (log 3.0))) (- (log (sin (* 0.5 x))) (log (sin x)))) (+ (+ (log 8.0) (- (log (sin (* 0.5 x))) (log 3.0))) (log (/ (sin (* 0.5 x)) (sin x)))) (+ (+ (log 8.0) (log (/ (sin (* 0.5 x)) 3.0))) (- (log (sin (* 0.5 x))) (log (sin x)))) (+ (+ (log 8.0) (log (/ (sin (* 0.5 x)) 3.0))) (log (/ (sin (* 0.5 x)) (sin x)))) (+ (log (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (- (log (sin (* 0.5 x))) (log (sin x)))) (+ (log (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (log (/ (sin (* 0.5 x)) (sin x)))) (log (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))) (exp (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))) (* (* (* (* 8.0 8.0) 8.0) (/ (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x))) (* (* 3.0 3.0) 3.0))) (/ (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x))) (* (* (sin x) (sin x)) (sin x)))) (* (* (* (* 8.0 8.0) 8.0) (/ (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x))) (* (* 3.0 3.0) 3.0))) (* (* (/ (sin (* 0.5 x)) (sin x)) (/ (sin (* 0.5 x)) (sin x))) (/ (sin (* 0.5 x)) (sin x)))) (* (* (* (* 8.0 8.0) 8.0) (* (* (/ (sin (* 0.5 x)) 3.0) (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) 3.0))) (/ (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x))) (* (* (sin x) (sin x)) (sin x)))) (* (* (* (* 8.0 8.0) 8.0) (* (* (/ (sin (* 0.5 x)) 3.0) (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) 3.0))) (* (* (/ (sin (* 0.5 x)) (sin x)) (/ (sin (* 0.5 x)) (sin x))) (/ (sin (* 0.5 x)) (sin x)))) (* (* (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (/ (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x))) (* (* (sin x) (sin x)) (sin x)))) (* (* (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (* (* (/ (sin (* 0.5 x)) (sin x)) (/ (sin (* 0.5 x)) (sin x))) (/ (sin (* 0.5 x)) (sin x)))) (* (cbrt (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))) (cbrt (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x))))) (cbrt (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))) (* (* (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))) (sqrt (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))) (sqrt (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))) (* (* 8.0 (sin (* 0.5 x))) (sin (* 0.5 x))) (* 3.0 (sin x)) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (* (cbrt (/ (sin (* 0.5 x)) (sin x))) (cbrt (/ (sin (* 0.5 x)) (sin x))))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sqrt (/ (sin (* 0.5 x)) (sin x)))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (* (cbrt (sin x)) (cbrt (sin x))))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (sqrt (sin x)))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) 1)) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sqrt (sin (* 0.5 x))) (* (cbrt (sin x)) (cbrt (sin x))))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x)))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sqrt (sin (* 0.5 x))) 1)) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x))))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ 1 (sqrt (sin x)))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ 1 1)) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) 1) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin (* 0.5 x))) (* (/ (sin (* 0.5 x)) 3.0) (/ (sin (* 0.5 x)) (sin x))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin (* 0.5 x))) (* (* 8.0 (sin (* 0.5 x))) (/ (sin (* 0.5 x)) (sin x))) (expm1 (/ (sin (* 0.5 x)) 3.0)) (log1p (/ (sin (* 0.5 x)) 3.0)) (- (log (sin (* 0.5 x))) (log 3.0)) (log (/ (sin (* 0.5 x)) 3.0)) (exp (/ (sin (* 0.5 x)) 3.0)) (/ (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x))) (* (* 3.0 3.0) 3.0)) (* (cbrt (/ (sin (* 0.5 x)) 3.0)) (cbrt (/ (sin (* 0.5 x)) 3.0))) (cbrt (/ (sin (* 0.5 x)) 3.0)) (* (* (/ (sin (* 0.5 x)) 3.0) (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) 3.0)) (sqrt (/ (sin (* 0.5 x)) 3.0)) (sqrt (/ (sin (* 0.5 x)) 3.0)) (- (sin (* 0.5 x))) (- 3.0) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (* (cbrt 3.0) (cbrt 3.0))) (/ (cbrt (sin (* 0.5 x))) (cbrt 3.0)) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (sqrt 3.0)) (/ (cbrt (sin (* 0.5 x))) (sqrt 3.0)) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) 1) (/ (cbrt (sin (* 0.5 x))) 3.0) (/ (sqrt (sin (* 0.5 x))) (* (cbrt 3.0) (cbrt 3.0))) (/ (sqrt (sin (* 0.5 x))) (cbrt 3.0)) (/ (sqrt (sin (* 0.5 x))) (sqrt 3.0)) (/ (sqrt (sin (* 0.5 x))) (sqrt 3.0)) (/ (sqrt (sin (* 0.5 x))) 1) (/ (sqrt (sin (* 0.5 x))) 3.0) (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (sin (* 0.5 x)) (cbrt 3.0)) (/ 1 (sqrt 3.0)) (/ (sin (* 0.5 x)) (sqrt 3.0)) (/ 1 1) (/ (sin (* 0.5 x)) 3.0) (/ 1 3.0) (/ 3.0 (sin (* 0.5 x))) (/ (sin (* 0.5 x)) (* (cbrt 3.0) (cbrt 3.0))) (/ (sin (* 0.5 x)) (sqrt 3.0)) (/ (sin (* 0.5 x)) 1) (/ 3.0 (cbrt (sin (* 0.5 x)))) (/ 3.0 (sqrt (sin (* 0.5 x)))) (/ 3.0 (sin (* 0.5 x))) (expm1 (/ (sin (* 0.5 x)) (sin x))) (log1p (/ (sin (* 0.5 x)) (sin x))) (- (log (sin (* 0.5 x))) (log (sin x))) (log (/ (sin (* 0.5 x)) (sin x))) (exp (/ (sin (* 0.5 x)) (sin x))) (/ (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x))) (* (* (sin x) (sin x)) (sin x))) (* (cbrt (/ (sin (* 0.5 x)) (sin x))) (cbrt (/ (sin (* 0.5 x)) (sin x)))) (cbrt (/ (sin (* 0.5 x)) (sin x))) (* (* (/ (sin (* 0.5 x)) (sin x)) (/ (sin (* 0.5 x)) (sin x))) (/ (sin (* 0.5 x)) (sin x))) (sqrt (/ (sin (* 0.5 x)) (sin x))) (sqrt (/ (sin (* 0.5 x)) (sin x))) (- (sin (* 0.5 x))) (- (sin x)) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt (sin (* 0.5 x))) (cbrt (sin x))) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (sqrt (sin x))) (/ (cbrt (sin (* 0.5 x))) (sqrt (sin x))) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) 1) (/ (cbrt (sin (* 0.5 x))) (sin x)) (/ (sqrt (sin (* 0.5 x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (sin (* 0.5 x))) (cbrt (sin x))) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x))) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x))) (/ (sqrt (sin (* 0.5 x))) 1) (/ (sqrt (sin (* 0.5 x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sin (* 0.5 x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (sin (* 0.5 x)) (sqrt (sin x))) (/ 1 1) (/ (sin (* 0.5 x)) (sin x)) (/ 1 (sin x)) (/ (sin x) (sin (* 0.5 x))) (/ (sin (* 0.5 x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sin (* 0.5 x)) (sqrt (sin x))) (/ (sin (* 0.5 x)) 1) (/ (sin x) (cbrt (sin (* 0.5 x)))) (/ (sin x) (sqrt (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 x))) (+ (* 0.05555555555555555 (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))) (- (+ (* 0.16666666666666666 x) (* 8.680555555555555e-05 (pow x 5))) (* 0.006944444444444444 (pow x 3))) (* 0.3333333333333333 (sin (* 0.5 x))) (* 0.3333333333333333 (sin (* 0.5 x))) (+ (* 0.0625 (pow x 2)) (+ (* 0.006510416666666666 (pow x 4)) 0.5)) (/ (sin (* 0.5 x)) (sin x)) (/ (sin (* 0.5 x)) (sin x)) 1.470 * * [simplify]: iteration 0 : 437 enodes (cost 968 ) 1.483 * * [simplify]: iteration 1 : 2144 enodes (cost 808 ) 1.526 * * [simplify]: iteration 2 : 5001 enodes (cost 786 ) 1.531 * [simplify]: Simplified to: (expm1 (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))) (log1p (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))) (/ (/ (* 8.0 (pow (sin (* 0.5 x)) 2)) (sin x)) 3.0) (/ (/ (* 8.0 (pow (sin (* 0.5 x)) 2)) (sin x)) 3.0) (- (log (/ (* 8.0 (pow (sin (* 0.5 x)) 2)) (sin x))) (log 3.0)) (- (log (/ (* 8.0 (pow (sin (* 0.5 x)) 2)) (sin x))) (log 3.0)) (- (log (/ (* 8.0 (pow (sin (* 0.5 x)) 2)) (sin x))) (log 3.0)) (- (log (/ (* 8.0 (pow (sin (* 0.5 x)) 2)) (sin x))) (log 3.0)) (- (log (/ (* 8.0 (pow (sin (* 0.5 x)) 2)) (sin x))) (log 3.0)) (- (log (/ (* 8.0 (pow (sin (* 0.5 x)) 2)) (sin x))) (log 3.0)) (- (log (/ (* 8.0 (pow (sin (* 0.5 x)) 2)) (sin x))) (log 3.0)) (pow (exp 1) (/ (/ (* 8.0 (pow (sin (* 0.5 x)) 2)) (sin x)) 3.0)) (pow (/ (/ (* 8.0 (pow (sin (* 0.5 x)) 2)) (sin x)) 3.0) 3) (pow (/ (/ (* 8.0 (pow (sin (* 0.5 x)) 2)) (sin x)) 3.0) 3) (pow (/ (/ (* 8.0 (pow (sin (* 0.5 x)) 2)) (sin x)) 3.0) 3) (pow (/ (/ (* 8.0 (pow (sin (* 0.5 x)) 2)) (sin x)) 3.0) 3) (pow (/ (/ (* 8.0 (pow (sin (* 0.5 x)) 2)) (sin x)) 3.0) 3) (pow (/ (/ (* 8.0 (pow (sin (* 0.5 x)) 2)) (sin x)) 3.0) 3) (* (cbrt (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))) (cbrt (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x))))) (cbrt (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))) (pow (/ (/ (* 8.0 (pow (sin (* 0.5 x)) 2)) (sin x)) 3.0) 3) (sqrt (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))) (sqrt (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))) (* 8.0 (pow (sin (* 0.5 x)) 2)) (* 3.0 (sin x)) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (* (cbrt (/ (sin (* 0.5 x)) (sin x))) (cbrt (/ (sin (* 0.5 x)) (sin x))))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sqrt (/ (sin (* 0.5 x)) (sin x)))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (* (cbrt (sin x)) (cbrt (sin x))))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (sqrt (sin x)))) (* 8.0 (* (/ (sin (* 0.5 x)) 3.0) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sqrt (sin (* 0.5 x))) (* (cbrt (sin x)) (cbrt (sin x))))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x)))) (* 8.0 (* (/ (sin (* 0.5 x)) 3.0) (sqrt (sin (* 0.5 x))))) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sqrt (sin x))) (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (* (/ (pow (sin (* 0.5 x)) 2) 3.0) 8.0) (* (/ (sin (* 0.5 x)) 3.0) (/ (sin (* 0.5 x)) (sin x))) (* (/ (pow (sin (* 0.5 x)) 2) 3.0) 8.0) (/ (* 8.0 (pow (sin (* 0.5 x)) 2)) (sin x)) (expm1 (/ (sin (* 0.5 x)) 3.0)) (log1p (/ (sin (* 0.5 x)) 3.0)) (log (/ (sin (* 0.5 x)) 3.0)) (log (/ (sin (* 0.5 x)) 3.0)) (exp (/ (sin (* 0.5 x)) 3.0)) (pow (/ (sin (* 0.5 x)) 3.0) 3) (* (cbrt (/ (sin (* 0.5 x)) 3.0)) (cbrt (/ (sin (* 0.5 x)) 3.0))) (cbrt (/ (sin (* 0.5 x)) 3.0)) (pow (/ (sin (* 0.5 x)) 3.0) 3) (sqrt (/ (sin (* 0.5 x)) 3.0)) (sqrt (/ (sin (* 0.5 x)) 3.0)) (- (sin (* 0.5 x))) (- 3.0) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (* (cbrt 3.0) (cbrt 3.0))) (/ (cbrt (sin (* 0.5 x))) (cbrt 3.0)) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (sqrt 3.0)) (/ (cbrt (sin (* 0.5 x))) (sqrt 3.0)) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (/ (cbrt (sin (* 0.5 x))) 3.0) (/ (sqrt (sin (* 0.5 x))) (* (cbrt 3.0) (cbrt 3.0))) (/ (sqrt (sin (* 0.5 x))) (cbrt 3.0)) (/ (sqrt (sin (* 0.5 x))) (sqrt 3.0)) (/ (sqrt (sin (* 0.5 x))) (sqrt 3.0)) (sqrt (sin (* 0.5 x))) (/ (sqrt (sin (* 0.5 x))) 3.0) (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (sin (* 0.5 x)) (cbrt 3.0)) (/ 1 (sqrt 3.0)) (/ (sin (* 0.5 x)) (sqrt 3.0)) 1 (/ (sin (* 0.5 x)) 3.0) (/ 1 3.0) (/ 3.0 (sin (* 0.5 x))) (/ (sin (* 0.5 x)) (* (cbrt 3.0) (cbrt 3.0))) (/ (sin (* 0.5 x)) (sqrt 3.0)) (sin (* 0.5 x)) (/ 3.0 (cbrt (sin (* 0.5 x)))) (/ 3.0 (sqrt (sin (* 0.5 x)))) (/ 3.0 (sin (* 0.5 x))) (expm1 (/ (sin (* 0.5 x)) (sin x))) (log1p (/ (sin (* 0.5 x)) (sin x))) (log (/ (sin (* 0.5 x)) (sin x))) (log (/ (sin (* 0.5 x)) (sin x))) (exp (/ (sin (* 0.5 x)) (sin x))) (pow (/ (sin (* 0.5 x)) (sin x)) 3) (* (cbrt (/ (sin (* 0.5 x)) (sin x))) (cbrt (/ (sin (* 0.5 x)) (sin x)))) (cbrt (/ (sin (* 0.5 x)) (sin x))) (pow (/ (sin (* 0.5 x)) (sin x)) 3) (sqrt (/ (sin (* 0.5 x)) (sin x))) (sqrt (/ (sin (* 0.5 x)) (sin x))) (- (sin (* 0.5 x))) (- (sin x)) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt (sin (* 0.5 x))) (cbrt (sin x))) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (sqrt (sin x))) (/ (cbrt (sin (* 0.5 x))) (sqrt (sin x))) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (/ (cbrt (sin (* 0.5 x))) (sin x)) (/ (sqrt (sin (* 0.5 x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (sin (* 0.5 x))) (cbrt (sin x))) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x))) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x))) (sqrt (sin (* 0.5 x))) (/ (sqrt (sin (* 0.5 x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sin (* 0.5 x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (sin (* 0.5 x)) (sqrt (sin x))) 1 (/ (sin (* 0.5 x)) (sin x)) (/ 1 (sin x)) (/ (sin x) (sin (* 0.5 x))) (/ (sin (* 0.5 x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sin (* 0.5 x)) (sqrt (sin x))) (sin (* 0.5 x)) (/ (sin x) (cbrt (sin (* 0.5 x)))) (/ (sin x) (sqrt (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 x))) (fma 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 0.16666666666666666 (- (* 8.680555555555555e-05 (pow x 5)) (* 0.006944444444444444 (pow x 3)))) (* 0.3333333333333333 (sin (* 0.5 x))) (* 0.3333333333333333 (sin (* 0.5 x))) (fma 0.0625 (pow x 2) (fma 0.006510416666666666 (pow x 4) 0.5)) (/ (sin (* 0.5 x)) (sin x)) (/ (sin (* 0.5 x)) (sin x)) 1.531 * * * [progress]: adding candidates to table 1.799 * * [progress]: iteration 4 / 4 1.799 * * * [progress]: picking best candidate 1.821 * * * * [pick]: Picked # 1.821 * * * [progress]: localizing error 1.839 * * * [progress]: generating rewritten candidates 1.839 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1) 1.842 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.873 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.959 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 1.985 * * * [progress]: generating series expansions 1.986 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1) 1.986 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.988 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (* (sin (* 0.5 x)) (pow (sqrt 8.0) 2))) in (x) around 0 1.988 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (* (sin (* 0.5 x)) (pow (sqrt 8.0) 2))) in x 1.988 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.988 * [taylor]: Taking taylor expansion of (* (sin (* 0.5 x)) (pow (sqrt 8.0) 2)) in x 1.988 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.988 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.988 * [taylor]: Taking taylor expansion of 0.5 in x 1.988 * [taylor]: Taking taylor expansion of x in x 1.989 * [taylor]: Taking taylor expansion of (pow (sqrt 8.0) 2) in x 1.989 * [taylor]: Taking taylor expansion of (sqrt 8.0) in x 1.989 * [taylor]: Taking taylor expansion of 8.0 in x 1.990 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (* (sin (* 0.5 x)) (pow (sqrt 8.0) 2))) in x 1.990 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.990 * [taylor]: Taking taylor expansion of (* (sin (* 0.5 x)) (pow (sqrt 8.0) 2)) in x 1.990 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.990 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.990 * [taylor]: Taking taylor expansion of 0.5 in x 1.990 * [taylor]: Taking taylor expansion of x in x 1.992 * [taylor]: Taking taylor expansion of (pow (sqrt 8.0) 2) in x 1.992 * [taylor]: Taking taylor expansion of (sqrt 8.0) in x 1.992 * [taylor]: Taking taylor expansion of 8.0 in x 2.056 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (* (pow (sqrt 8.0) 2) (sin (/ 0.5 x)))) in (x) around 0 2.056 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (* (pow (sqrt 8.0) 2) (sin (/ 0.5 x)))) in x 2.056 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.056 * [taylor]: Taking taylor expansion of (* (pow (sqrt 8.0) 2) (sin (/ 0.5 x))) in x 2.056 * [taylor]: Taking taylor expansion of (pow (sqrt 8.0) 2) in x 2.056 * [taylor]: Taking taylor expansion of (sqrt 8.0) in x 2.056 * [taylor]: Taking taylor expansion of 8.0 in x 2.057 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.057 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.057 * [taylor]: Taking taylor expansion of 0.5 in x 2.057 * [taylor]: Taking taylor expansion of x in x 2.057 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (* (pow (sqrt 8.0) 2) (sin (/ 0.5 x)))) in x 2.057 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.057 * [taylor]: Taking taylor expansion of (* (pow (sqrt 8.0) 2) (sin (/ 0.5 x))) in x 2.057 * [taylor]: Taking taylor expansion of (pow (sqrt 8.0) 2) in x 2.057 * [taylor]: Taking taylor expansion of (sqrt 8.0) in x 2.057 * [taylor]: Taking taylor expansion of 8.0 in x 2.058 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.058 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.058 * [taylor]: Taking taylor expansion of 0.5 in x 2.058 * [taylor]: Taking taylor expansion of x in x 2.094 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (* (pow (sqrt 8.0) 2) (sin (/ -0.5 x)))) in (x) around 0 2.094 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (* (pow (sqrt 8.0) 2) (sin (/ -0.5 x)))) in x 2.094 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.094 * [taylor]: Taking taylor expansion of (* (pow (sqrt 8.0) 2) (sin (/ -0.5 x))) in x 2.094 * [taylor]: Taking taylor expansion of (pow (sqrt 8.0) 2) in x 2.094 * [taylor]: Taking taylor expansion of (sqrt 8.0) in x 2.094 * [taylor]: Taking taylor expansion of 8.0 in x 2.094 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.095 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.095 * [taylor]: Taking taylor expansion of -0.5 in x 2.095 * [taylor]: Taking taylor expansion of x in x 2.095 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (* (pow (sqrt 8.0) 2) (sin (/ -0.5 x)))) in x 2.095 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.095 * [taylor]: Taking taylor expansion of (* (pow (sqrt 8.0) 2) (sin (/ -0.5 x))) in x 2.095 * [taylor]: Taking taylor expansion of (pow (sqrt 8.0) 2) in x 2.095 * [taylor]: Taking taylor expansion of (sqrt 8.0) in x 2.095 * [taylor]: Taking taylor expansion of 8.0 in x 2.096 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.096 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.096 * [taylor]: Taking taylor expansion of -0.5 in x 2.096 * [taylor]: Taking taylor expansion of x in x 2.125 * * * * [progress]: [ 3 / 4 ] generating series at (2) 2.126 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (/ (* (pow (sin (* 0.5 x)) 2) (pow (sqrt 8.0) 2)) (sin x))) in (x) around 0 2.126 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ (* (pow (sin (* 0.5 x)) 2) (pow (sqrt 8.0) 2)) (sin x))) in x 2.126 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.126 * [taylor]: Taking taylor expansion of (/ (* (pow (sin (* 0.5 x)) 2) (pow (sqrt 8.0) 2)) (sin x)) in x 2.126 * [taylor]: Taking taylor expansion of (* (pow (sin (* 0.5 x)) 2) (pow (sqrt 8.0) 2)) in x 2.127 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 2.127 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 2.127 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 2.127 * [taylor]: Taking taylor expansion of 0.5 in x 2.127 * [taylor]: Taking taylor expansion of x in x 2.129 * [taylor]: Taking taylor expansion of (pow (sqrt 8.0) 2) in x 2.129 * [taylor]: Taking taylor expansion of (sqrt 8.0) in x 2.129 * [taylor]: Taking taylor expansion of 8.0 in x 2.130 * [taylor]: Taking taylor expansion of (sin x) in x 2.130 * [taylor]: Taking taylor expansion of x in x 2.135 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ (* (pow (sin (* 0.5 x)) 2) (pow (sqrt 8.0) 2)) (sin x))) in x 2.135 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.135 * [taylor]: Taking taylor expansion of (/ (* (pow (sin (* 0.5 x)) 2) (pow (sqrt 8.0) 2)) (sin x)) in x 2.135 * [taylor]: Taking taylor expansion of (* (pow (sin (* 0.5 x)) 2) (pow (sqrt 8.0) 2)) in x 2.135 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 2.135 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 2.135 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 2.135 * [taylor]: Taking taylor expansion of 0.5 in x 2.135 * [taylor]: Taking taylor expansion of x in x 2.138 * [taylor]: Taking taylor expansion of (pow (sqrt 8.0) 2) in x 2.138 * [taylor]: Taking taylor expansion of (sqrt 8.0) in x 2.138 * [taylor]: Taking taylor expansion of 8.0 in x 2.139 * [taylor]: Taking taylor expansion of (sin x) in x 2.139 * [taylor]: Taking taylor expansion of x in x 2.224 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (/ (* (pow (sqrt 8.0) 2) (pow (sin (/ 0.5 x)) 2)) (sin (/ 1 x)))) in (x) around 0 2.224 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ (* (pow (sqrt 8.0) 2) (pow (sin (/ 0.5 x)) 2)) (sin (/ 1 x)))) in x 2.224 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.224 * [taylor]: Taking taylor expansion of (/ (* (pow (sqrt 8.0) 2) (pow (sin (/ 0.5 x)) 2)) (sin (/ 1 x))) in x 2.224 * [taylor]: Taking taylor expansion of (* (pow (sqrt 8.0) 2) (pow (sin (/ 0.5 x)) 2)) in x 2.224 * [taylor]: Taking taylor expansion of (pow (sqrt 8.0) 2) in x 2.224 * [taylor]: Taking taylor expansion of (sqrt 8.0) in x 2.224 * [taylor]: Taking taylor expansion of 8.0 in x 2.225 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 2.225 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.225 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.225 * [taylor]: Taking taylor expansion of 0.5 in x 2.225 * [taylor]: Taking taylor expansion of x in x 2.225 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.225 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.225 * [taylor]: Taking taylor expansion of x in x 2.228 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ (* (pow (sqrt 8.0) 2) (pow (sin (/ 0.5 x)) 2)) (sin (/ 1 x)))) in x 2.228 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.228 * [taylor]: Taking taylor expansion of (/ (* (pow (sqrt 8.0) 2) (pow (sin (/ 0.5 x)) 2)) (sin (/ 1 x))) in x 2.228 * [taylor]: Taking taylor expansion of (* (pow (sqrt 8.0) 2) (pow (sin (/ 0.5 x)) 2)) in x 2.228 * [taylor]: Taking taylor expansion of (pow (sqrt 8.0) 2) in x 2.228 * [taylor]: Taking taylor expansion of (sqrt 8.0) in x 2.228 * [taylor]: Taking taylor expansion of 8.0 in x 2.228 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 2.228 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.229 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.229 * [taylor]: Taking taylor expansion of 0.5 in x 2.229 * [taylor]: Taking taylor expansion of x in x 2.229 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.229 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.229 * [taylor]: Taking taylor expansion of x in x 2.275 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (/ (* (pow (sqrt 8.0) 2) (pow (sin (/ -0.5 x)) 2)) (sin (/ -1 x)))) in (x) around 0 2.275 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ (* (pow (sqrt 8.0) 2) (pow (sin (/ -0.5 x)) 2)) (sin (/ -1 x)))) in x 2.275 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.275 * [taylor]: Taking taylor expansion of (/ (* (pow (sqrt 8.0) 2) (pow (sin (/ -0.5 x)) 2)) (sin (/ -1 x))) in x 2.275 * [taylor]: Taking taylor expansion of (* (pow (sqrt 8.0) 2) (pow (sin (/ -0.5 x)) 2)) in x 2.275 * [taylor]: Taking taylor expansion of (pow (sqrt 8.0) 2) in x 2.275 * [taylor]: Taking taylor expansion of (sqrt 8.0) in x 2.275 * [taylor]: Taking taylor expansion of 8.0 in x 2.276 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 2.276 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.276 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.276 * [taylor]: Taking taylor expansion of -0.5 in x 2.276 * [taylor]: Taking taylor expansion of x in x 2.277 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.277 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.277 * [taylor]: Taking taylor expansion of -1 in x 2.277 * [taylor]: Taking taylor expansion of x in x 2.279 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ (* (pow (sqrt 8.0) 2) (pow (sin (/ -0.5 x)) 2)) (sin (/ -1 x)))) in x 2.279 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.279 * [taylor]: Taking taylor expansion of (/ (* (pow (sqrt 8.0) 2) (pow (sin (/ -0.5 x)) 2)) (sin (/ -1 x))) in x 2.280 * [taylor]: Taking taylor expansion of (* (pow (sqrt 8.0) 2) (pow (sin (/ -0.5 x)) 2)) in x 2.280 * [taylor]: Taking taylor expansion of (pow (sqrt 8.0) 2) in x 2.280 * [taylor]: Taking taylor expansion of (sqrt 8.0) in x 2.280 * [taylor]: Taking taylor expansion of 8.0 in x 2.280 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 2.280 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.280 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.280 * [taylor]: Taking taylor expansion of -0.5 in x 2.280 * [taylor]: Taking taylor expansion of x in x 2.281 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.281 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.281 * [taylor]: Taking taylor expansion of -1 in x 2.281 * [taylor]: Taking taylor expansion of x in x 2.323 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 2.324 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (* (sin (* 0.5 x)) (sqrt 8.0))) in (x) around 0 2.324 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (* (sin (* 0.5 x)) (sqrt 8.0))) in x 2.324 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.324 * [taylor]: Taking taylor expansion of (* (sin (* 0.5 x)) (sqrt 8.0)) in x 2.324 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 2.324 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 2.324 * [taylor]: Taking taylor expansion of 0.5 in x 2.324 * [taylor]: Taking taylor expansion of x in x 2.325 * [taylor]: Taking taylor expansion of (sqrt 8.0) in x 2.325 * [taylor]: Taking taylor expansion of 8.0 in x 2.326 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (* (sin (* 0.5 x)) (sqrt 8.0))) in x 2.326 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.326 * [taylor]: Taking taylor expansion of (* (sin (* 0.5 x)) (sqrt 8.0)) in x 2.326 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 2.326 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 2.326 * [taylor]: Taking taylor expansion of 0.5 in x 2.326 * [taylor]: Taking taylor expansion of x in x 2.328 * [taylor]: Taking taylor expansion of (sqrt 8.0) in x 2.328 * [taylor]: Taking taylor expansion of 8.0 in x 2.381 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (* (sqrt 8.0) (sin (/ 0.5 x)))) in (x) around 0 2.381 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (* (sqrt 8.0) (sin (/ 0.5 x)))) in x 2.381 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.381 * [taylor]: Taking taylor expansion of (* (sqrt 8.0) (sin (/ 0.5 x))) in x 2.381 * [taylor]: Taking taylor expansion of (sqrt 8.0) in x 2.381 * [taylor]: Taking taylor expansion of 8.0 in x 2.382 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.382 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.382 * [taylor]: Taking taylor expansion of 0.5 in x 2.382 * [taylor]: Taking taylor expansion of x in x 2.382 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (* (sqrt 8.0) (sin (/ 0.5 x)))) in x 2.382 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.382 * [taylor]: Taking taylor expansion of (* (sqrt 8.0) (sin (/ 0.5 x))) in x 2.382 * [taylor]: Taking taylor expansion of (sqrt 8.0) in x 2.382 * [taylor]: Taking taylor expansion of 8.0 in x 2.383 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.383 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.383 * [taylor]: Taking taylor expansion of 0.5 in x 2.383 * [taylor]: Taking taylor expansion of x in x 2.403 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (* (sqrt 8.0) (sin (/ -0.5 x)))) in (x) around 0 2.403 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (* (sqrt 8.0) (sin (/ -0.5 x)))) in x 2.403 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.403 * [taylor]: Taking taylor expansion of (* (sqrt 8.0) (sin (/ -0.5 x))) in x 2.403 * [taylor]: Taking taylor expansion of (sqrt 8.0) in x 2.403 * [taylor]: Taking taylor expansion of 8.0 in x 2.404 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.404 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.404 * [taylor]: Taking taylor expansion of -0.5 in x 2.404 * [taylor]: Taking taylor expansion of x in x 2.404 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (* (sqrt 8.0) (sin (/ -0.5 x)))) in x 2.404 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.404 * [taylor]: Taking taylor expansion of (* (sqrt 8.0) (sin (/ -0.5 x))) in x 2.404 * [taylor]: Taking taylor expansion of (sqrt 8.0) in x 2.404 * [taylor]: Taking taylor expansion of 8.0 in x 2.405 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.405 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.405 * [taylor]: Taking taylor expansion of -0.5 in x 2.405 * [taylor]: Taking taylor expansion of x in x 2.428 * * * [progress]: simplifying candidates 2.432 * [simplify]: Simplifying using # : (expm1 (/ (sqrt 8.0) 3.0)) (log1p (/ (sqrt 8.0) 3.0)) (- (log (sqrt 8.0)) (log 3.0)) (log (/ (sqrt 8.0) 3.0)) (exp (/ (sqrt 8.0) 3.0)) (/ (* (* (sqrt 8.0) (sqrt 8.0)) (sqrt 8.0)) (* (* 3.0 3.0) 3.0)) (* (cbrt (/ (sqrt 8.0) 3.0)) (cbrt (/ (sqrt 8.0) 3.0))) (cbrt (/ (sqrt 8.0) 3.0)) (* (* (/ (sqrt 8.0) 3.0) (/ (sqrt 8.0) 3.0)) (/ (sqrt 8.0) 3.0)) (sqrt (/ (sqrt 8.0) 3.0)) (sqrt (/ (sqrt 8.0) 3.0)) (- (sqrt 8.0)) (- 3.0) (/ (* (cbrt (sqrt 8.0)) (cbrt (sqrt 8.0))) (* (cbrt 3.0) (cbrt 3.0))) (/ (cbrt (sqrt 8.0)) (cbrt 3.0)) (/ (* (cbrt (sqrt 8.0)) (cbrt (sqrt 8.0))) (sqrt 3.0)) (/ (cbrt (sqrt 8.0)) (sqrt 3.0)) (/ (* (cbrt (sqrt 8.0)) (cbrt (sqrt 8.0))) 1) (/ (cbrt (sqrt 8.0)) 3.0) (/ (sqrt (* (cbrt 8.0) (cbrt 8.0))) (* (cbrt 3.0) (cbrt 3.0))) (/ (sqrt (cbrt 8.0)) (cbrt 3.0)) (/ (sqrt (* (cbrt 8.0) (cbrt 8.0))) (sqrt 3.0)) (/ (sqrt (cbrt 8.0)) (sqrt 3.0)) (/ (sqrt (* 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x 0.5)))) (/ (sin (* 0.5 x)) (sin x))) 3) (sqrt (* (* (/ (sqrt 8.0) 1) (* (/ (sqrt 8.0) 3.0) (sin (* x 0.5)))) (/ (sin (* 0.5 x)) (sin x)))) (sqrt (* (* (/ (sqrt 8.0) 1) (* (/ (sqrt 8.0) 3.0) (sin (* x 0.5)))) (/ (sin (* 0.5 x)) (sin x)))) (* 8.0 (pow (sin (* 0.5 x)) 2)) (* (sin x) 3.0) (* 8.0 (pow (sin (* 0.5 x)) 2)) (* (sin x) 3.0) (* (/ (* (sqrt 8.0) (sqrt 8.0)) 3.0) (pow (sin (* 0.5 x)) 2)) (sin x) (* (sqrt 8.0) (* (* (/ (sqrt 8.0) 3.0) (sin (* x 0.5))) (* (cbrt (/ (sin (* 0.5 x)) (sin x))) (cbrt (/ (sin (* 0.5 x)) (sin x)))))) (* (sqrt 8.0) (* (* (/ (sqrt 8.0) 3.0) (sin (* x 0.5))) (sqrt (/ (sin (* 0.5 x)) (sin x))))) (/ (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))))) (/ (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sqrt (sin x)) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))))) (/ (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ 1 (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))))) (/ (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (sin (* 0.5 x))))) (/ (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x))))) (/ (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ 1 (sqrt (sin (* 0.5 x))))) (/ (/ 8.0 3.0) (/ (* (cbrt (sin x)) (cbrt (sin x))) (sin (* 0.5 x)))) (/ (/ 8.0 3.0) (/ (sqrt (sin x)) (sin (* 0.5 x)))) (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (* 8.0 (sin (* x 0.5))) 3.0) (* (/ (* (sqrt 8.0) (sqrt 8.0)) 3.0) (pow (sin (* 0.5 x)) 2)) (/ (* (sqrt 8.0) (/ (pow (sin (* 0.5 x)) 2) (sin x))) 3.0) (* (/ (* (sqrt 8.0) (sqrt 8.0)) 3.0) (pow (sin (* 0.5 x)) 2)) (/ (* 8.0 (pow (sin (* 0.5 x)) 2)) (sin x)) (/ (* 8.0 (pow (sin (* 0.5 x)) 2)) (sin x)) (/ (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin x) (sin (* 0.5 x)))) (expm1 (* (/ (sqrt 8.0) 3.0) (sin (* x 0.5)))) (log1p (* (/ (sqrt 8.0) 3.0) (sin (* x 0.5)))) (* (/ (sqrt 8.0) 3.0) (sin (* x 0.5))) (log (* (/ (sqrt 8.0) 3.0) (sin (* x 0.5)))) (log (* (/ (sqrt 8.0) 3.0) (sin (* x 0.5)))) (log (* (/ (sqrt 8.0) 3.0) (sin (* x 0.5)))) (exp (* (/ (sqrt 8.0) 3.0) (sin (* x 0.5)))) (pow (* (/ (sqrt 8.0) 3.0) (sin (* x 0.5))) 3) (pow (* (/ (sqrt 8.0) 3.0) (sin (* x 0.5))) 3) (* (cbrt (* (/ (sqrt 8.0) 3.0) (sin (* x 0.5)))) (cbrt (* (/ (sqrt 8.0) 3.0) (sin (* x 0.5))))) (cbrt (* (/ (sqrt 8.0) 3.0) (sin (* x 0.5)))) (pow (* (/ (sqrt 8.0) 3.0) (sin (* x 0.5))) 3) (sqrt (* (/ (sqrt 8.0) 3.0) (sin (* x 0.5)))) (sqrt (* (/ (sqrt 8.0) 3.0) (sin (* x 0.5)))) (* (sqrt (/ (sqrt 8.0) 3.0)) (sqrt (sin (* x 0.5)))) (* (sqrt (/ (sqrt 8.0) 3.0)) (sqrt (sin (* x 0.5)))) (* (/ (sqrt (sqrt 8.0)) (sqrt 3.0)) (sqrt (sin (* x 0.5)))) (* (/ (sqrt (sqrt 8.0)) (sqrt 3.0)) (sqrt (sin (* x 0.5)))) (* (/ (sqrt (sqrt 8.0)) (sqrt 3.0)) (sqrt (sin (* x 0.5)))) (* (/ (sqrt (sqrt 8.0)) (sqrt 3.0)) (sqrt (sin (* x 0.5)))) (* (/ (sqrt 8.0) 3.0) (* (cbrt (sin (* x 0.5))) (cbrt (sin (* x 0.5))))) (* (/ (sqrt 8.0) 3.0) (sqrt (sin (* x 0.5)))) (/ (sqrt 8.0) 3.0) (* (cbrt (/ (sqrt 8.0) 3.0)) (sin (* x 0.5))) (* (sqrt (/ (sqrt 8.0) 3.0)) (sin (* x 0.5))) (* (/ (cbrt (sqrt 8.0)) (cbrt 3.0)) (sin (* x 0.5))) (* (/ (cbrt (sqrt 8.0)) (sqrt 3.0)) (sin (* x 0.5))) (* (/ (cbrt (sqrt 8.0)) 3.0) (sin (* x 0.5))) (* (/ (sqrt (cbrt 8.0)) (cbrt 3.0)) (sin (* x 0.5))) (* (/ (sqrt (cbrt 8.0)) (sqrt 3.0)) (sin (* x 0.5))) (* (/ (sqrt (cbrt 8.0)) 3.0) (sin (* x 0.5))) (* (/ (sqrt (sqrt 8.0)) (cbrt 3.0)) (sin (* x 0.5))) (* (/ (sqrt (sqrt 8.0)) (sqrt 3.0)) (sin (* x 0.5))) (* (/ (sqrt (sqrt 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))) (* (/ (sqrt (sqrt 8.0)) (cbrt 3.0)) (sin (* x 0.5))) (* (/ (sqrt (sqrt 8.0)) (sqrt 3.0)) (sin (* x 0.5))) (* (/ (sqrt (sqrt 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))) (* (/ (sqrt 8.0) 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) 3.0) (* (sin (* 0.5 x)) (sqrt 8.0)) (* (/ (sqrt 8.0) 3.0) (sin (* x 0.5))) (fma (* 0.16666666666666666 8.0) x (* 8.0 (- (* 8.680555555555555e-05 (pow x 5)) (* 0.006944444444444444 (pow x 3))))) (* (* 0.3333333333333333 (sin (* 0.5 x))) 8.0) (* (* 0.3333333333333333 (sin (* 0.5 x))) 8.0) (fma (* 0.006944444444444444 (pow x 3)) 8.0 (fma (* 0.08333333333333333 x) 8.0 (* (* 0.0006944444444444443 (pow x 5)) 8.0))) (* (/ (pow (sin (* 0.5 x)) 2) (/ (sin x) 8.0)) 0.3333333333333333) (* (/ (pow (sin (* 0.5 x)) 2) (/ (sin x) 8.0)) 0.3333333333333333) (fma (* 0.16666666666666666 (sqrt 8.0)) x (* (sqrt 8.0) (- (* 8.680555555555555e-05 (pow x 5)) (* 0.006944444444444444 (pow x 3))))) (* 0.3333333333333333 (* (sin (* 0.5 x)) (sqrt 8.0))) (* 0.3333333333333333 (* (sin (* 0.5 x)) (sqrt 8.0))) 2.559 * * * [progress]: adding candidates to table 3.095 * [progress]: [Phase 3 of 3] Extracting. 3.095 * * [regime]: Finding splitpoints for: (# # # # # # # #) 3.097 * * * [regime-changes]: Trying 2 branch expressions: ((/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x)) x) 3.097 * * * * [regimes]: Trying to branch on (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x)) from (# # # # # # # #) 3.135 * * * * [regimes]: Trying to branch on x from (# # # # # # # #) 3.168 * * * [regime]: Found split indices: #