53.955 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.181 * * * [progress]: [2/2] Setting up program. 0.187 * [progress]: [Phase 2 of 3] Improving. 0.188 * [simplify]: Simplifying using # : (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x)) 0.191 * * [simplify]: iteration 0 : 20 enodes (cost 9 ) 0.193 * * [simplify]: iteration 1 : 43 enodes (cost 9 ) 0.195 * * [simplify]: iteration 2 : 93 enodes (cost 9 ) 0.198 * * [simplify]: iteration 3 : 174 enodes (cost 9 ) 0.202 * * [simplify]: iteration 4 : 269 enodes (cost 9 ) 0.207 * * [simplify]: iteration 5 : 288 enodes (cost 9 ) 0.212 * * [simplify]: iteration 6 : 288 enodes (cost 9 ) 0.212 * [simplify]: Simplified to: (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x)) 0.213 * * [progress]: iteration 1 / 4 0.213 * * * [progress]: picking best candidate 0.218 * * * * [pick]: Picked # 0.218 * * * [progress]: localizing error 0.239 * * * [progress]: generating rewritten candidates 0.239 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.260 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.273 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.294 * * * [progress]: generating series expansions 0.295 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.295 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in (x) around 0 0.295 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.295 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.295 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 0.295 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.295 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.295 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.295 * [taylor]: Taking taylor expansion of 0.5 in x 0.295 * [taylor]: Taking taylor expansion of x in x 0.295 * [taylor]: Taking taylor expansion of (sin x) in x 0.295 * [taylor]: Taking taylor expansion of x in x 0.296 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.296 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.296 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 0.296 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.296 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.296 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.296 * [taylor]: Taking taylor expansion of 0.5 in x 0.296 * [taylor]: Taking taylor expansion of x in x 0.296 * [taylor]: Taking taylor expansion of (sin x) in x 0.296 * [taylor]: Taking taylor expansion of x in x 0.301 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in (x) around 0 0.301 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 0.301 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.301 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 0.301 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.301 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.301 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.301 * [taylor]: Taking taylor expansion of 0.5 in x 0.301 * [taylor]: Taking taylor expansion of x in x 0.302 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.302 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.302 * [taylor]: Taking taylor expansion of x in x 0.302 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 0.302 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.302 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 0.302 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.302 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.302 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.302 * [taylor]: Taking taylor expansion of 0.5 in x 0.302 * [taylor]: Taking taylor expansion of x in x 0.302 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.302 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.302 * [taylor]: Taking taylor expansion of x in x 0.309 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in (x) around 0 0.309 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.309 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.309 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 0.309 * [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 (sin (/ -1 x)) in x 0.310 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.310 * [taylor]: Taking taylor expansion of -1 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) (sin (/ -1 x)))) 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) (sin (/ -1 x))) 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 0.311 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.311 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.311 * [taylor]: Taking taylor expansion of -1 in x 0.311 * [taylor]: Taking taylor expansion of x in x 0.317 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.318 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in (x) around 0 0.318 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 0.318 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.318 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.318 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.318 * [taylor]: Taking taylor expansion of 0.5 in x 0.318 * [taylor]: Taking taylor expansion of x in x 0.318 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 0.318 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.318 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.318 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.318 * [taylor]: Taking taylor expansion of 0.5 in x 0.318 * [taylor]: Taking taylor expansion of x in x 0.326 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in (x) around 0 0.326 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 0.326 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.326 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.326 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.326 * [taylor]: Taking taylor expansion of 0.5 in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.326 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 0.326 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.326 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.326 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.326 * [taylor]: Taking taylor expansion of 0.5 in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.328 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in (x) around 0 0.328 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 0.328 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.328 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.328 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.328 * [taylor]: Taking taylor expansion of -0.5 in x 0.328 * [taylor]: Taking taylor expansion of x in x 0.329 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 0.329 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.329 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.329 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.329 * [taylor]: Taking taylor expansion of -0.5 in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.330 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.330 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (* 0.5 x)) 2)) in (x) around 0 0.330 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (* 0.5 x)) 2)) in x 0.330 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.330 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.330 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.330 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.330 * [taylor]: Taking taylor expansion of 0.5 in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.331 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (* 0.5 x)) 2)) in x 0.331 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.331 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.331 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.331 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.331 * [taylor]: Taking taylor expansion of 0.5 in x 0.331 * [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 0.338 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ -0.5 x)) 2)) in (x) around 0 0.338 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ -0.5 x)) 2)) in x 0.338 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.338 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.338 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.338 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.338 * [taylor]: Taking taylor expansion of -0.5 in x 0.338 * [taylor]: Taking taylor expansion of x in x 0.338 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ -0.5 x)) 2)) in x 0.338 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.338 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.338 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.338 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.338 * [taylor]: Taking taylor expansion of -0.5 in x 0.339 * [taylor]: Taking taylor expansion of x in x 0.342 * * * [progress]: simplifying candidates 0.344 * [simplify]: Simplifying using # : (- (+ (+ (- (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))) (neg (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))) (neg (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) (* (/ 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))) (* (* (/ 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)) 0.354 * * [simplify]: iteration 0 : 402 enodes (cost 818 ) 0.368 * * [simplify]: iteration 1 : 2097 enodes (cost 614 ) 0.426 * * [simplify]: iteration 2 : 5002 enodes (cost 599 ) 0.433 * [simplify]: Simplified to: (- (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))) (* (neg (/ 8.0 3.0)) (pow (sin (* 0.5 x)) 2)) (neg (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) (* (/ 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))) (* (pow (sin (* 0.5 x)) 2) (/ 8.0 3.0)) (* (pow (sin (* 0.5 x)) 2) (/ 8.0 3.0)) (+ (log (/ 8.0 3.0)) (log (pow (sin (* 0.5 x)) 2))) (+ (log (/ 8.0 3.0)) (log (pow (sin (* 0.5 x)) 2))) (+ (log (/ 8.0 3.0)) (log (pow (sin (* 0.5 x)) 2))) (+ (log (/ 8.0 3.0)) (log (pow (sin (* 0.5 x)) 2))) (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) (+ (* 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)) 0.434 * * * [progress]: adding candidates to table 0.740 * * [progress]: iteration 2 / 4 0.740 * * * [progress]: picking best candidate 0.814 * * * * [pick]: Picked # 0.814 * * * [progress]: localizing error 0.840 * * * [progress]: generating rewritten candidates 0.840 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.853 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.861 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.896 * * * [progress]: generating series expansions 0.896 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.896 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in (x) around 0 0.896 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 0.896 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.896 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.896 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.896 * [taylor]: Taking taylor expansion of 0.5 in x 0.896 * [taylor]: Taking taylor expansion of x in x 0.896 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 0.896 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.896 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.896 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.896 * [taylor]: Taking taylor expansion of 0.5 in x 0.896 * [taylor]: Taking taylor expansion of x in x 0.899 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in (x) around 0 0.899 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 0.899 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.899 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.899 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.899 * [taylor]: Taking taylor expansion of 0.5 in x 0.899 * [taylor]: Taking taylor expansion of x in x 0.899 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 0.899 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.899 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.899 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.899 * [taylor]: Taking taylor expansion of 0.5 in x 0.899 * [taylor]: Taking taylor expansion of x in x 0.901 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in (x) around 0 0.901 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 0.901 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.901 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.901 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.901 * [taylor]: Taking taylor expansion of -0.5 in x 0.901 * [taylor]: Taking taylor expansion of x in x 0.901 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 0.901 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.901 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.901 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.901 * [taylor]: Taking taylor expansion of -0.5 in x 0.901 * [taylor]: Taking taylor expansion of x in x 0.902 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.902 * [approximate]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in (x) around 0 0.902 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 0.902 * [taylor]: Taking taylor expansion of (sin x) in x 0.902 * [taylor]: Taking taylor expansion of x in x 0.902 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.902 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.902 * [taylor]: Taking taylor expansion of 0.5 in x 0.902 * [taylor]: Taking taylor expansion of x in x 0.903 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 0.903 * [taylor]: Taking taylor expansion of (sin x) in x 0.903 * [taylor]: Taking taylor expansion of x in x 0.903 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.903 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.903 * [taylor]: Taking taylor expansion of 0.5 in x 0.903 * [taylor]: Taking taylor expansion of x in x 0.906 * [approximate]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in (x) around 0 0.906 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 0.906 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.906 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.906 * [taylor]: Taking taylor expansion of x in x 0.906 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.906 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.906 * [taylor]: Taking taylor expansion of 0.5 in x 0.907 * [taylor]: Taking taylor expansion of x in x 0.907 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 0.907 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.907 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.907 * [taylor]: Taking taylor expansion of x in x 0.907 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.907 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.907 * [taylor]: Taking taylor expansion of 0.5 in x 0.907 * [taylor]: Taking taylor expansion of x in x 0.910 * [approximate]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in (x) around 0 0.910 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 0.910 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.910 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.910 * [taylor]: Taking taylor expansion of -1 in x 0.910 * [taylor]: Taking taylor expansion of x in x 0.910 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.910 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.910 * [taylor]: Taking taylor expansion of -0.5 in x 0.910 * [taylor]: Taking taylor expansion of x in x 0.910 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 0.910 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.911 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.911 * [taylor]: Taking taylor expansion of -1 in x 0.911 * [taylor]: Taking taylor expansion of x in x 0.911 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.911 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.911 * [taylor]: Taking taylor expansion of -0.5 in x 0.911 * [taylor]: Taking taylor expansion of x in x 0.913 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.914 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in (x) around 0 0.914 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.914 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.914 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 0.914 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.914 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.914 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.914 * [taylor]: Taking taylor expansion of 0.5 in x 0.914 * [taylor]: Taking taylor expansion of x in x 0.914 * [taylor]: Taking taylor expansion of (sin x) in x 0.914 * [taylor]: Taking taylor expansion of x in x 0.914 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.914 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.914 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 0.914 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.914 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.914 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.914 * [taylor]: Taking taylor expansion of 0.5 in x 0.914 * [taylor]: Taking taylor expansion of x in x 0.915 * [taylor]: Taking taylor expansion of (sin x) in x 0.915 * [taylor]: Taking taylor expansion of x in x 0.919 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in (x) around 0 0.919 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 0.919 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.919 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 0.919 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.919 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.919 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.919 * [taylor]: Taking taylor expansion of 0.5 in x 0.919 * [taylor]: Taking taylor expansion of x in x 0.919 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.919 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.919 * [taylor]: Taking taylor expansion of x in x 0.919 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 0.919 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.920 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 0.920 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.920 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.920 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.920 * [taylor]: Taking taylor expansion of 0.5 in x 0.920 * [taylor]: Taking taylor expansion of x in x 0.920 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.920 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.920 * [taylor]: Taking taylor expansion of x in x 0.926 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in (x) around 0 0.926 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.926 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.926 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 0.926 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.926 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.926 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.926 * [taylor]: Taking taylor expansion of -0.5 in x 0.926 * [taylor]: Taking taylor expansion of x in x 0.926 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.926 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.926 * [taylor]: Taking taylor expansion of -1 in x 0.926 * [taylor]: Taking taylor expansion of x in x 0.926 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.926 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.926 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 0.926 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.927 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.927 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.927 * [taylor]: Taking taylor expansion of -0.5 in x 0.927 * [taylor]: Taking taylor expansion of x in x 0.927 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.927 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.927 * [taylor]: Taking taylor expansion of -1 in x 0.927 * [taylor]: Taking taylor expansion of x in x 0.932 * * * [progress]: simplifying candidates 0.935 * [simplify]: Simplifying using # : (* (/ 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))) (- (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)))) (neg (sin x)) (neg (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 (* 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(/ (sin x) (sin (* 0.5 x))))) (* (cbrt (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* 0.5 x))))) (cbrt (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* 0.5 x)))))) (cbrt (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* 0.5 x))))) (* (* (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* 0.5 x)))) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* 0.5 x))))) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* 0.5 x))))) (sqrt (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* 0.5 x))))) (sqrt (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* 0.5 x))))) (neg (* (/ 8.0 3.0) (sin (* x 0.5)))) (neg (/ (sin x) (sin (* 0.5 x)))) (/ (/ 8.0 3.0) (* (cbrt (/ (sin x) (sin (* 0.5 x)))) (cbrt (/ (sin x) (sin (* 0.5 x)))))) (/ (sin (* x 0.5)) (cbrt (/ (sin x) (sin (* 0.5 x))))) (/ (/ 8.0 3.0) (sqrt (/ (sin x) (sin (* 0.5 x))))) (/ (sin (* x 0.5)) (sqrt (/ (sin x) (sin (* 0.5 x))))) (/ (/ 8.0 3.0) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin (* 0.5 x))) (cbrt (sin 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1) (/ (sin (* x 0.5)) (/ (sin x) (sin (* 0.5 x)))) (/ (/ 8.0 3.0) (sin x)) (/ (sin (* x 0.5)) (/ 1 (sin (* 0.5 x)))) (/ 1 (/ (sin x) (sin (* 0.5 x)))) (/ (/ (sin x) (sin (* 0.5 x))) (* (/ 8.0 3.0) (sin (* x 0.5)))) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (* (cbrt (/ (sin x) (sin (* 0.5 x)))) (cbrt (/ (sin x) (sin (* 0.5 x)))))) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (sqrt (/ (sin x) (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) (sin (* x 0.5))) (/ (* (cbrt (sin x)) (cbrt (sin x))) 1)) (/ (* (/ 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) (sin (* x 0.5))) (/ (sqrt (sin x)) 1)) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ 1 (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))))) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ 1 (sqrt (sin (* 0.5 x))))) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ 1 1)) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) 1) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (sin x)) (/ (/ (sin x) (sin (* 0.5 x))) (sin (* x 0.5))) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (sin x)) (* (/ (sin x) (sin (* 0.5 x))) 3.0) (- (+ (* 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))) (- (+ (* 0.005208333333333334 (pow x 4)) 2.0) (* 0.25 (pow x 2))) (/ (sin x) (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))) 0.947 * * [simplify]: iteration 0 : 540 enodes (cost 1166 ) 0.964 * * [simplify]: iteration 1 : 2701 enodes (cost 980 ) 1.027 * * [simplify]: iteration 2 : 5001 enodes (cost 956 ) 1.036 * [simplify]: Simplified to: (* (/ 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 (* 0.5 x)))) (/ 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) 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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) (- (+ (* 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))) (- (+ (* 0.005208333333333334 (pow x 4)) 2.0) (* 0.25 (pow x 2))) (/ (sin x) (sin (* x 0.5))) (/ (sin x) (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))) 1.038 * * * [progress]: adding candidates to table 1.409 * * [progress]: iteration 3 / 4 1.409 * * * [progress]: picking best candidate 1.467 * * * * [pick]: Picked # 1.467 * * * [progress]: localizing error 1.491 * * * [progress]: generating rewritten candidates 1.491 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 1.506 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 1.513 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 1.532 * * * [progress]: generating series expansions 1.532 * * * * [progress]: [ 1 / 3 ] generating series at (2) 1.532 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in (x) around 0 1.532 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 1.532 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.532 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 1.532 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 1.532 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.532 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.532 * [taylor]: Taking taylor expansion of 0.5 in x 1.532 * [taylor]: Taking taylor expansion of x in x 1.532 * [taylor]: Taking taylor expansion of (sin x) in x 1.532 * [taylor]: Taking taylor expansion of x in x 1.533 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 1.533 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.533 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 1.533 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 1.533 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.533 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.533 * [taylor]: Taking taylor expansion of 0.5 in x 1.533 * [taylor]: Taking taylor expansion of x in x 1.533 * [taylor]: Taking taylor expansion of (sin x) in x 1.533 * [taylor]: Taking taylor expansion of x in x 1.537 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in (x) around 0 1.537 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 1.537 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.537 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 1.537 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) 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 1.537 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.537 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.538 * [taylor]: Taking taylor expansion of x in x 1.538 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 1.538 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.538 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 1.538 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 1.538 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.538 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.538 * [taylor]: Taking taylor expansion of 0.5 in x 1.538 * [taylor]: Taking taylor expansion of x in x 1.538 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.538 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.538 * [taylor]: Taking taylor expansion of x in x 1.544 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in (x) around 0 1.544 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 1.544 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.544 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 1.544 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 1.544 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.544 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.544 * [taylor]: Taking taylor expansion of -0.5 in x 1.544 * [taylor]: Taking taylor expansion of x in x 1.544 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.544 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.544 * [taylor]: Taking taylor expansion of -1 in x 1.544 * [taylor]: Taking taylor expansion of x in x 1.545 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 1.545 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.545 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 1.545 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 1.545 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.545 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.545 * [taylor]: Taking taylor expansion of -0.5 in x 1.545 * [taylor]: Taking taylor expansion of x in x 1.545 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.545 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.545 * [taylor]: Taking taylor expansion of -1 in x 1.545 * [taylor]: Taking taylor expansion of x in x 1.551 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 1.551 * [approximate]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in (x) around 0 1.551 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 1.551 * [taylor]: Taking taylor expansion of (sin x) in x 1.551 * [taylor]: Taking taylor expansion of x in x 1.551 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.551 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.552 * [taylor]: Taking taylor expansion of 0.5 in x 1.552 * [taylor]: Taking taylor expansion of x in x 1.552 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 1.552 * [taylor]: Taking taylor expansion of (sin x) in x 1.552 * [taylor]: Taking taylor expansion of x in x 1.552 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.552 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.552 * [taylor]: Taking taylor expansion of 0.5 in x 1.552 * [taylor]: Taking taylor expansion of x in x 1.555 * [approximate]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in (x) around 0 1.556 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 1.556 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.556 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.556 * [taylor]: Taking taylor expansion of x in x 1.556 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.556 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.556 * [taylor]: Taking taylor expansion of 0.5 in x 1.556 * [taylor]: Taking taylor expansion of x in x 1.556 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 1.556 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.556 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.556 * [taylor]: Taking taylor expansion of x in x 1.556 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.556 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.556 * [taylor]: Taking taylor expansion of 0.5 in x 1.556 * [taylor]: Taking taylor expansion of x in x 1.559 * [approximate]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in (x) around 0 1.559 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 1.559 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.559 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.559 * [taylor]: Taking taylor expansion of -1 in x 1.559 * [taylor]: Taking taylor expansion of x in x 1.559 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.559 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.559 * [taylor]: Taking taylor expansion of -0.5 in x 1.559 * [taylor]: Taking taylor expansion of x in x 1.559 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 1.559 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.559 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.559 * [taylor]: Taking taylor expansion of -1 in x 1.560 * [taylor]: Taking taylor expansion of x in x 1.560 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.560 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.560 * [taylor]: Taking taylor expansion of -0.5 in x 1.560 * [taylor]: Taking taylor expansion of x in x 1.562 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 1.562 * [approximate]: Taking taylor expansion of (* 3.0 (/ (sin x) (sin (* 0.5 x)))) in (x) around 0 1.562 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sin x) (sin (* 0.5 x)))) in x 1.562 * [taylor]: Taking taylor expansion of 3.0 in x 1.562 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 1.562 * [taylor]: Taking taylor expansion of (sin x) in x 1.562 * [taylor]: Taking taylor expansion of x in x 1.562 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.562 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.562 * [taylor]: Taking taylor expansion of 0.5 in x 1.562 * [taylor]: Taking taylor expansion of x in x 1.563 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sin x) (sin (* 0.5 x)))) in x 1.563 * [taylor]: Taking taylor expansion of 3.0 in x 1.563 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 1.563 * [taylor]: Taking taylor expansion of (sin x) in x 1.563 * [taylor]: Taking taylor expansion of x in x 1.563 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.563 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.563 * [taylor]: Taking taylor expansion of 0.5 in x 1.563 * [taylor]: Taking taylor expansion of x in x 1.566 * [approximate]: Taking taylor expansion of (* 3.0 (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) in (x) around 0 1.567 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) in x 1.567 * [taylor]: Taking taylor expansion of 3.0 in x 1.567 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 1.567 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.567 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.567 * [taylor]: Taking taylor expansion of x in x 1.567 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.567 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.567 * [taylor]: Taking taylor expansion of 0.5 in x 1.567 * [taylor]: Taking taylor expansion of x in x 1.567 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) in x 1.567 * [taylor]: Taking taylor expansion of 3.0 in x 1.567 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 1.567 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.567 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.567 * [taylor]: Taking taylor expansion of x in x 1.567 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.567 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.567 * [taylor]: Taking taylor expansion of 0.5 in x 1.567 * [taylor]: Taking taylor expansion of x in x 1.571 * [approximate]: Taking taylor expansion of (* 3.0 (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) in (x) around 0 1.571 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) in x 1.571 * [taylor]: Taking taylor expansion of 3.0 in x 1.571 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 1.571 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.571 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.571 * [taylor]: Taking taylor expansion of -1 in x 1.571 * [taylor]: Taking taylor expansion of x in x 1.571 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.571 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.571 * [taylor]: Taking taylor expansion of -0.5 in x 1.571 * [taylor]: Taking taylor expansion of x in x 1.572 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) in x 1.572 * [taylor]: Taking taylor expansion of 3.0 in x 1.572 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 1.572 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.572 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.572 * [taylor]: Taking taylor expansion of -1 in x 1.572 * [taylor]: Taking taylor expansion of x in x 1.572 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.572 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.572 * [taylor]: Taking taylor expansion of -0.5 in x 1.572 * [taylor]: Taking taylor expansion of x in x 1.576 * * * [progress]: simplifying candidates 1.578 * [simplify]: Simplifying using # : (- (+ (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))) (neg (* 8.0 (sin (* x 0.5)))) (neg (* (/ (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)) (- (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)))) (neg (sin x)) (neg (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)) (* (/ (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)))) 1.588 * * [simplify]: iteration 0 : 423 enodes (cost 884 ) 1.603 * * [simplify]: iteration 1 : 2225 enodes (cost 705 ) 1.659 * * [simplify]: iteration 2 : 5001 enodes (cost 686 ) 1.666 * [simplify]: Simplified to: (+ (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))) (neg (* 8.0 (sin (* x 0.5)))) (neg (* (/ (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)) (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)))) (neg (sin x)) (neg (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)) (pow (sin (* 0.5 x)) 1/2)) (* (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)) (* (/ (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) (+ (* 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))) (* (/ (sin x) (sin (* 0.5 x))) 3.0) (* (/ (sin x) (sin (* 0.5 x))) 3.0) 1.667 * * * [progress]: adding candidates to table 1.910 * * [progress]: iteration 4 / 4 1.910 * * * [progress]: picking best candidate 1.964 * * * * [pick]: Picked # 1.964 * * * [progress]: localizing error 1.998 * * * [progress]: generating rewritten candidates 1.998 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1) 2.008 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 2.017 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 2.046 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 2.071 * * * [progress]: generating series expansions 2.071 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1) 2.071 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 2.071 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 2.072 * [approximate]: Taking taylor expansion of (/ (* (sin (* 0.5 x)) (pow (sqrt 8.0) 2)) (pow (sqrt 3.0) 2)) in (x) around 0 2.072 * [taylor]: Taking taylor expansion of (/ (* (sin (* 0.5 x)) (pow (sqrt 8.0) 2)) (pow (sqrt 3.0) 2)) in x 2.072 * [taylor]: Taking taylor expansion of (* (sin (* 0.5 x)) (pow (sqrt 8.0) 2)) in x 2.072 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 2.072 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 2.072 * [taylor]: Taking taylor expansion of 0.5 in x 2.072 * [taylor]: Taking taylor expansion of x in x 2.072 * [taylor]: Taking taylor expansion of (pow (sqrt 8.0) 2) in x 2.072 * [taylor]: Taking taylor expansion of (sqrt 8.0) in x 2.072 * [taylor]: Taking taylor expansion of 8.0 in x 2.072 * [taylor]: Taking taylor expansion of (pow (sqrt 3.0) 2) in x 2.072 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 2.072 * [taylor]: Taking taylor expansion of 3.0 in x 2.073 * [taylor]: Taking taylor expansion of (/ (* (sin (* 0.5 x)) (pow (sqrt 8.0) 2)) (pow (sqrt 3.0) 2)) in x 2.073 * [taylor]: Taking taylor expansion of (* (sin (* 0.5 x)) (pow (sqrt 8.0) 2)) 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 (pow (sqrt 8.0) 2) in x 2.073 * [taylor]: Taking taylor expansion of (sqrt 8.0) in x 2.073 * [taylor]: Taking taylor expansion of 8.0 in x 2.073 * [taylor]: Taking taylor expansion of (pow (sqrt 3.0) 2) in x 2.073 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 2.073 * [taylor]: Taking taylor expansion of 3.0 in x 2.083 * [approximate]: Taking taylor expansion of (/ (* (pow (sqrt 8.0) 2) (sin (/ 0.5 x))) (pow (sqrt 3.0) 2)) in (x) around 0 2.083 * [taylor]: Taking taylor expansion of (/ (* (pow (sqrt 8.0) 2) (sin (/ 0.5 x))) (pow (sqrt 3.0) 2)) in x 2.083 * [taylor]: Taking taylor expansion of (* (pow (sqrt 8.0) 2) (sin (/ 0.5 x))) in x 2.083 * [taylor]: Taking taylor expansion of (pow (sqrt 8.0) 2) in x 2.083 * [taylor]: Taking taylor expansion of (sqrt 8.0) in x 2.083 * [taylor]: Taking taylor expansion of 8.0 in x 2.083 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.083 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.083 * [taylor]: Taking taylor expansion of 0.5 in x 2.083 * [taylor]: Taking taylor expansion of x in x 2.084 * [taylor]: Taking taylor expansion of (pow (sqrt 3.0) 2) in x 2.084 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 2.084 * [taylor]: Taking taylor expansion of 3.0 in x 2.084 * [taylor]: Taking taylor expansion of (/ (* (pow (sqrt 8.0) 2) (sin (/ 0.5 x))) (pow (sqrt 3.0) 2)) in x 2.084 * [taylor]: Taking taylor expansion of (* (pow (sqrt 8.0) 2) (sin (/ 0.5 x))) in x 2.084 * [taylor]: Taking taylor expansion of (pow (sqrt 8.0) 2) in x 2.084 * [taylor]: Taking taylor expansion of (sqrt 8.0) in x 2.084 * [taylor]: Taking taylor expansion of 8.0 in x 2.084 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.084 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.084 * [taylor]: Taking taylor expansion of 0.5 in x 2.084 * [taylor]: Taking taylor expansion of x in x 2.085 * [taylor]: Taking taylor expansion of (pow (sqrt 3.0) 2) in x 2.085 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 2.085 * [taylor]: Taking taylor expansion of 3.0 in x 2.093 * [approximate]: Taking taylor expansion of (/ (* (pow (sqrt 8.0) 2) (sin (/ -0.5 x))) (pow (sqrt 3.0) 2)) in (x) around 0 2.093 * [taylor]: Taking taylor expansion of (/ (* (pow (sqrt 8.0) 2) (sin (/ -0.5 x))) (pow (sqrt 3.0) 2)) in x 2.093 * [taylor]: Taking taylor expansion of (* (pow (sqrt 8.0) 2) (sin (/ -0.5 x))) in x 2.093 * [taylor]: Taking taylor expansion of (pow (sqrt 8.0) 2) in x 2.093 * [taylor]: Taking taylor expansion of (sqrt 8.0) in x 2.093 * [taylor]: Taking taylor expansion of 8.0 in x 2.093 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.093 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.093 * [taylor]: Taking taylor expansion of -0.5 in x 2.093 * [taylor]: Taking taylor expansion of x in x 2.093 * [taylor]: Taking taylor expansion of (pow (sqrt 3.0) 2) in x 2.093 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 2.093 * [taylor]: Taking taylor expansion of 3.0 in x 2.094 * [taylor]: Taking taylor expansion of (/ (* (pow (sqrt 8.0) 2) (sin (/ -0.5 x))) (pow (sqrt 3.0) 2)) 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 2.094 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.094 * [taylor]: Taking taylor expansion of -0.5 in x 2.094 * [taylor]: Taking taylor expansion of x in x 2.094 * [taylor]: Taking taylor expansion of (pow (sqrt 3.0) 2) in x 2.094 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 2.094 * [taylor]: Taking taylor expansion of 3.0 in x 2.102 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 2.103 * [approximate]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in (x) around 0 2.103 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 2.103 * [taylor]: Taking taylor expansion of (sin x) in x 2.103 * [taylor]: Taking taylor expansion of x in x 2.103 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 2.103 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 2.103 * [taylor]: Taking taylor expansion of 0.5 in x 2.103 * [taylor]: Taking taylor expansion of x in x 2.103 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 2.103 * [taylor]: Taking taylor expansion of (sin x) in x 2.103 * [taylor]: Taking taylor expansion of x in x 2.103 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 2.103 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 2.103 * [taylor]: Taking taylor expansion of 0.5 in x 2.103 * [taylor]: Taking taylor expansion of x in x 2.107 * [approximate]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in (x) around 0 2.107 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 2.107 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.107 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.107 * [taylor]: Taking taylor expansion of x in x 2.107 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.107 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.107 * [taylor]: Taking taylor expansion of 0.5 in x 2.107 * [taylor]: Taking taylor expansion of x in x 2.107 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 2.107 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.107 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.107 * [taylor]: Taking taylor expansion of x in x 2.107 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.107 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.107 * [taylor]: Taking taylor expansion of 0.5 in x 2.108 * [taylor]: Taking taylor expansion of x in x 2.110 * [approximate]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in (x) around 0 2.110 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 2.110 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.110 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.110 * [taylor]: Taking taylor expansion of -1 in x 2.110 * [taylor]: Taking taylor expansion of x in x 2.110 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.110 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.111 * [taylor]: Taking taylor expansion of -0.5 in x 2.111 * [taylor]: Taking taylor expansion of x in x 2.111 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 2.111 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.111 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.111 * [taylor]: Taking taylor expansion of -1 in x 2.111 * [taylor]: Taking taylor expansion of x in x 2.111 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.111 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.111 * [taylor]: Taking taylor expansion of -0.5 in x 2.111 * [taylor]: Taking taylor expansion of x in x 2.114 * * * [progress]: simplifying candidates 2.119 * [simplify]: Simplifying using # : (- (log (sqrt 8.0)) (log (sqrt 3.0))) (log (/ (sqrt 8.0) (sqrt 3.0))) (exp (/ (sqrt 8.0) (sqrt 3.0))) (/ (* (* (sqrt 8.0) (sqrt 8.0)) (sqrt 8.0)) (* (* (sqrt 3.0) (sqrt 3.0)) (sqrt 3.0))) (* (cbrt (/ (sqrt 8.0) (sqrt 3.0))) (cbrt (/ (sqrt 8.0) (sqrt 3.0)))) (cbrt (/ (sqrt 8.0) (sqrt 3.0))) (* (* (/ (sqrt 8.0) (sqrt 3.0)) (/ (sqrt 8.0) (sqrt 3.0))) (/ (sqrt 8.0) (sqrt 3.0))) (/ 8.0 3.0) (sqrt (/ (sqrt 8.0) (sqrt 3.0))) (sqrt (/ (sqrt 8.0) (sqrt 3.0))) (neg (sqrt 8.0)) (neg (sqrt 3.0)) (/ (* (cbrt (sqrt 8.0)) (cbrt (sqrt 8.0))) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (/ (cbrt (sqrt 8.0)) (cbrt (sqrt 3.0))) (/ (* (cbrt (sqrt 8.0)) (cbrt (sqrt 8.0))) (sqrt (* (cbrt 3.0) (cbrt 3.0)))) (/ (cbrt (sqrt 8.0)) (sqrt 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8.0) (sqrt 3.0)) (sin (* x 0.5))) (* (/ (sqrt 8.0) (sqrt 3.0)) (sin (* x 0.5))) (- (+ (* 0.00026041666666666666 (/ (* (pow x 5) (pow (sqrt 8.0) 2)) (pow (sqrt 3.0) 2))) (* 0.5 (/ (* x (pow (sqrt 8.0) 2)) (pow (sqrt 3.0) 2)))) (* 0.020833333333333332 (/ (* (pow x 3) (pow (sqrt 8.0) 2)) (pow (sqrt 3.0) 2)))) (/ (* (sin (* 0.5 x)) (pow (sqrt 8.0) 2)) (pow (sqrt 3.0) 2)) (/ (* (sin (* 0.5 x)) (pow (sqrt 8.0) 2)) (pow (sqrt 3.0) 2)) (- (+ (* 0.005208333333333334 (pow x 4)) 2.0) (* 0.25 (pow x 2))) (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x))) 2.134 * * [simplify]: iteration 0 : 515 enodes (cost 2005 ) 2.150 * * [simplify]: iteration 1 : 2303 enodes (cost 1729 ) 2.205 * * [simplify]: iteration 2 : 5002 enodes (cost 1616 ) 2.222 * [simplify]: Simplified to: (log (/ (sqrt 8.0) (sqrt 3.0))) (log (/ (sqrt 8.0) (sqrt 3.0))) (exp (/ (sqrt 8.0) (sqrt 3.0))) (pow (/ (sqrt 8.0) (sqrt 3.0)) 3) (* (cbrt (/ (sqrt 8.0) (sqrt 3.0))) (cbrt (/ (sqrt 8.0) (sqrt 3.0)))) (cbrt (/ (sqrt 8.0) (sqrt 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0.5 x)) (sin x)) (* (/ (sqrt 8.0) (sqrt 3.0)) (sin (* x 0.5))) (* (/ (sqrt 8.0) (sqrt 3.0)) (sin (* x 0.5))) (+ (* (/ x (/ 3.0 8.0)) 0.5) (- (* (/ (pow x 5) (/ 3.0 8.0)) 0.00026041666666666666) (* (/ (pow x 3) (/ 3.0 8.0)) 0.020833333333333332))) (/ (sin (* 0.5 x)) (/ 3.0 8.0)) (/ (sin (* 0.5 x)) (/ 3.0 8.0)) (- (+ (* 0.005208333333333334 (pow x 4)) 2.0) (* 0.25 (pow x 2))) (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x))) 2.224 * * * [progress]: adding candidates to table 3.404 * [progress]: [Phase 3 of 3] Extracting. 3.404 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #) 3.407 * * * [regime-changes]: Trying 1 branch expressions: (x) 3.407 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # #) 3.510 * * * [regime]: Found split indices: #