127.547 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.061 * * * [progress]: [2/2] Setting up program. 0.064 * [progress]: [Phase 2 of 3] Improving. 0.064 * [simplify]: Simplifying using # : (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x)) 0.066 * * [simplify]: iteration 0 : 20 enodes (cost 9 ) 0.068 * * [simplify]: iteration 1 : 43 enodes (cost 9 ) 0.069 * * [simplify]: iteration 2 : 93 enodes (cost 9 ) 0.071 * * [simplify]: iteration 3 : 174 enodes (cost 9 ) 0.074 * * [simplify]: iteration 4 : 269 enodes (cost 9 ) 0.077 * * [simplify]: iteration 5 : 288 enodes (cost 9 ) 0.081 * * [simplify]: iteration 6 : 288 enodes (cost 9 ) 0.081 * [simplify]: Simplified to: (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x)) 0.081 * * [progress]: iteration 1 / 4 0.081 * * * [progress]: picking best candidate 0.083 * * * * [pick]: Picked # 0.083 * * * [progress]: localizing error 0.095 * * * [progress]: generating rewritten candidates 0.096 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.106 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.113 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.125 * * * [progress]: generating series expansions 0.125 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.125 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in (x) around 0 0.126 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.126 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.126 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 0.126 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.126 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.126 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.126 * [taylor]: Taking taylor expansion of 0.5 in x 0.126 * [taylor]: Taking taylor expansion of x in x 0.128 * [taylor]: Taking taylor expansion of (sin x) in x 0.128 * [taylor]: Taking taylor expansion of x in x 0.129 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.129 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.129 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 0.129 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.129 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.129 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.129 * [taylor]: Taking taylor expansion of 0.5 in x 0.129 * [taylor]: Taking taylor expansion of x in x 0.132 * [taylor]: Taking taylor expansion of (sin x) in x 0.132 * [taylor]: Taking taylor expansion of x in x 0.170 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in (x) around 0 0.170 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 0.170 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.170 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 0.171 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.171 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.171 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.171 * [taylor]: Taking taylor expansion of 0.5 in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.171 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.171 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.171 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 0.171 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.171 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 0.172 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.172 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.172 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.172 * [taylor]: Taking taylor expansion of 0.5 in x 0.172 * [taylor]: Taking taylor expansion of x in x 0.172 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.172 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.172 * [taylor]: Taking taylor expansion of x in x 0.185 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in (x) around 0 0.185 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.185 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.185 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 0.186 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.186 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.186 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.186 * [taylor]: Taking taylor expansion of -0.5 in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.186 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.186 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.186 * [taylor]: Taking taylor expansion of -1 in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.186 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.187 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.187 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 0.187 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.187 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.187 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.187 * [taylor]: Taking taylor expansion of -0.5 in x 0.187 * [taylor]: Taking taylor expansion of x in x 0.187 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.187 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.187 * [taylor]: Taking taylor expansion of -1 in x 0.187 * [taylor]: Taking taylor expansion of x in x 0.200 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.200 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in (x) around 0 0.200 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 0.200 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.200 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.200 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.200 * [taylor]: Taking taylor expansion of 0.5 in x 0.200 * [taylor]: Taking taylor expansion of x in x 0.201 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 0.201 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.201 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.201 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.201 * [taylor]: Taking taylor expansion of 0.5 in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.222 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in (x) around 0 0.222 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 0.222 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.222 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.222 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.222 * [taylor]: Taking taylor expansion of 0.5 in x 0.222 * [taylor]: Taking taylor expansion of x in x 0.222 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 0.222 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.222 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.222 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.222 * [taylor]: Taking taylor expansion of 0.5 in x 0.222 * [taylor]: Taking taylor expansion of x in x 0.229 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in (x) around 0 0.229 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 0.229 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.229 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.229 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.229 * [taylor]: Taking taylor expansion of -0.5 in x 0.229 * [taylor]: Taking taylor expansion of x in x 0.229 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 0.229 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.229 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.229 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.229 * [taylor]: Taking taylor expansion of -0.5 in x 0.229 * [taylor]: Taking taylor expansion of x in x 0.235 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.235 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (* 0.5 x)) 2)) in (x) around 0 0.236 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (* 0.5 x)) 2)) in x 0.236 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.236 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.236 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.236 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.236 * [taylor]: Taking taylor expansion of 0.5 in x 0.236 * [taylor]: Taking taylor expansion of x in x 0.238 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (* 0.5 x)) 2)) in x 0.239 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.239 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.239 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.239 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.239 * [taylor]: Taking taylor expansion of 0.5 in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.269 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ 0.5 x)) 2)) in (x) around 0 0.270 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ 0.5 x)) 2)) in x 0.270 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.270 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.270 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.270 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.270 * [taylor]: Taking taylor expansion of 0.5 in x 0.270 * [taylor]: Taking taylor expansion of x in x 0.270 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ 0.5 x)) 2)) in x 0.270 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.270 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.270 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.270 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.270 * [taylor]: Taking taylor expansion of 0.5 in x 0.270 * [taylor]: Taking taylor expansion of x in x 0.281 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ -0.5 x)) 2)) in (x) around 0 0.281 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ -0.5 x)) 2)) in x 0.281 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.281 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) 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 0.281 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ -0.5 x)) 2)) in x 0.281 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.281 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.282 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.282 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.282 * [taylor]: Taking taylor expansion of -0.5 in x 0.282 * [taylor]: Taking taylor expansion of x in x 0.292 * * * [progress]: simplifying candidates 0.293 * [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))) (- (* (* (/ 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) (* (/ 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)) 0.299 * * [simplify]: iteration 0 : 402 enodes (cost 818 ) 0.308 * * [simplify]: iteration 1 : 2097 enodes (cost 614 ) 0.343 * * [simplify]: iteration 2 : 5002 enodes (cost 599 ) 0.346 * [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))) (* (- (/ 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) (* (/ 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)) 0.346 * * * [progress]: adding candidates to table 0.537 * * [progress]: iteration 2 / 4 0.537 * * * [progress]: picking best candidate 0.575 * * * * [pick]: Picked # 0.576 * * * [progress]: localizing error 0.591 * * * [progress]: generating rewritten candidates 0.591 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.598 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.602 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.616 * * * [progress]: generating series expansions 0.616 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.617 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in (x) around 0 0.617 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 0.617 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.617 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.617 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.617 * [taylor]: Taking taylor expansion of 0.5 in x 0.617 * [taylor]: Taking taylor expansion of x in x 0.618 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 0.618 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.618 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.618 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.618 * [taylor]: Taking taylor expansion of 0.5 in x 0.618 * [taylor]: Taking taylor expansion of x in x 0.642 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in (x) around 0 0.642 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 0.642 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.642 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.642 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.642 * [taylor]: Taking taylor expansion of 0.5 in x 0.642 * [taylor]: Taking taylor expansion of x in x 0.642 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 0.643 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.643 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.643 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.643 * [taylor]: Taking taylor expansion of 0.5 in x 0.643 * [taylor]: Taking taylor expansion of x in x 0.649 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in (x) around 0 0.649 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 0.649 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.649 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.649 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.649 * [taylor]: Taking taylor expansion of -0.5 in x 0.649 * [taylor]: Taking taylor expansion of x in x 0.649 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 0.649 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.649 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.649 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.649 * [taylor]: Taking taylor expansion of -0.5 in x 0.649 * [taylor]: Taking taylor expansion of x in x 0.655 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.655 * [approximate]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in (x) around 0 0.655 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 0.655 * [taylor]: Taking taylor expansion of (sin x) in x 0.655 * [taylor]: Taking taylor expansion of x in x 0.655 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.655 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.655 * [taylor]: Taking taylor expansion of 0.5 in x 0.655 * [taylor]: Taking taylor expansion of x in x 0.658 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 0.658 * [taylor]: Taking taylor expansion of (sin x) in x 0.659 * [taylor]: Taking taylor expansion of x in x 0.659 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.659 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.659 * [taylor]: Taking taylor expansion of 0.5 in x 0.659 * [taylor]: Taking taylor expansion of x in x 0.686 * [approximate]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in (x) around 0 0.686 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 0.686 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.686 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.686 * [taylor]: Taking taylor expansion of x in x 0.686 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.686 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.686 * [taylor]: Taking taylor expansion of 0.5 in x 0.686 * [taylor]: Taking taylor expansion of x in x 0.687 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 0.687 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.687 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.687 * [taylor]: Taking taylor expansion of x in x 0.687 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.687 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.687 * [taylor]: Taking taylor expansion of 0.5 in x 0.687 * [taylor]: Taking taylor expansion of x in x 0.690 * [approximate]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in (x) around 0 0.690 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 0.690 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.690 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.690 * [taylor]: Taking taylor expansion of -1 in x 0.690 * [taylor]: Taking taylor expansion of x in x 0.690 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.690 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.690 * [taylor]: Taking taylor expansion of -0.5 in x 0.690 * [taylor]: Taking taylor expansion of x in x 0.690 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 0.691 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.691 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.691 * [taylor]: Taking taylor expansion of -1 in x 0.691 * [taylor]: Taking taylor expansion of x in x 0.691 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.691 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.691 * [taylor]: Taking taylor expansion of -0.5 in x 0.691 * [taylor]: Taking taylor expansion of x in x 0.693 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.694 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in (x) around 0 0.694 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.694 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.694 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 0.694 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.694 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.694 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.694 * [taylor]: Taking taylor expansion of 0.5 in x 0.694 * [taylor]: Taking taylor expansion of x in x 0.696 * [taylor]: Taking taylor expansion of (sin x) in x 0.696 * [taylor]: Taking taylor expansion of x in x 0.697 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.697 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.697 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 0.697 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.697 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.697 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.697 * [taylor]: Taking taylor expansion of 0.5 in x 0.697 * [taylor]: Taking taylor expansion of x in x 0.700 * [taylor]: Taking taylor expansion of (sin x) in x 0.700 * [taylor]: Taking taylor expansion of x in x 0.739 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in (x) around 0 0.739 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 0.739 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.739 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 0.739 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.739 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.739 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.739 * [taylor]: Taking taylor expansion of 0.5 in x 0.739 * [taylor]: Taking taylor expansion of x in x 0.739 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.739 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.739 * [taylor]: Taking taylor expansion of x in x 0.740 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 0.740 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.740 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 0.740 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.740 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.740 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.740 * [taylor]: Taking taylor expansion of 0.5 in x 0.740 * [taylor]: Taking taylor expansion of x in x 0.740 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.740 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.740 * [taylor]: Taking taylor expansion of x in x 0.754 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in (x) around 0 0.754 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.754 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.754 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 0.754 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.754 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.754 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.754 * [taylor]: Taking taylor expansion of -0.5 in x 0.754 * [taylor]: Taking taylor expansion of x in x 0.754 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.755 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.755 * [taylor]: Taking taylor expansion of -1 in x 0.755 * [taylor]: Taking taylor expansion of x in x 0.755 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.755 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.755 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 0.755 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.755 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.755 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.755 * [taylor]: Taking taylor expansion of -0.5 in x 0.755 * [taylor]: Taking taylor expansion of x in x 0.755 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.756 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.756 * [taylor]: Taking taylor expansion of -1 in x 0.756 * [taylor]: Taking taylor expansion of x in x 0.768 * * * [progress]: simplifying candidates 0.770 * [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)))) (- (sin x)) (- (sin (* 0.5 x))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (cbrt (sin x)) (cbrt (sin (* 0.5 x)))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (sin (* 0.5 x)))) (/ (cbrt (sin x)) (sqrt (sin (* 0.5 x)))) (/ (* (cbrt (sin x)) (cbrt (sin x))) 1) (/ (cbrt (sin x)) (sin (* 0.5 x))) (/ (sqrt (sin x)) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (sqrt (sin x)) (cbrt (sin (* 0.5 x)))) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (/ (sqrt (sin x)) 1) (/ (sqrt (sin x)) (sin (* 0.5 x))) (/ 1 (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (sin x) (cbrt (sin (* 0.5 x)))) (/ 1 (sqrt (sin (* 0.5 x)))) (/ (sin x) (sqrt (sin (* 0.5 x)))) (/ 1 1) (/ (sin x) (sin (* 0.5 x))) (/ 1 (sin (* 0.5 x))) (/ (sin (* 0.5 x)) (sin x)) (/ (sin x) (* (cbrt (sin (* 0.5 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(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))) 0.777 * * [simplify]: iteration 0 : 540 enodes (cost 1166 ) 0.787 * * [simplify]: iteration 1 : 2701 enodes (cost 980 ) 0.827 * * 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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))) 0.832 * * * [progress]: adding candidates to table 1.136 * * [progress]: iteration 3 / 4 1.136 * * * [progress]: picking best candidate 1.164 * * * * [pick]: Picked # 1.164 * * * [progress]: localizing error 1.175 * * * [progress]: generating rewritten candidates 1.176 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 1.180 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 2) 1.184 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 1.197 * * * [progress]: generating series expansions 1.197 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 1.197 * [approximate]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in (x) around 0 1.197 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 1.197 * [taylor]: Taking taylor expansion of (sin x) in x 1.198 * [taylor]: Taking taylor expansion of x in x 1.198 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.198 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.198 * [taylor]: Taking taylor expansion of 0.5 in x 1.198 * [taylor]: Taking taylor expansion of x in x 1.201 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 1.201 * [taylor]: Taking taylor expansion of (sin x) in x 1.201 * [taylor]: Taking taylor expansion of x in x 1.201 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.201 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.201 * [taylor]: Taking taylor expansion of 0.5 in x 1.201 * [taylor]: Taking taylor expansion of x in x 1.228 * [approximate]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in (x) around 0 1.228 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 1.228 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.228 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.228 * [taylor]: Taking taylor expansion of x in x 1.228 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.228 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.228 * [taylor]: Taking taylor expansion of 0.5 in x 1.228 * [taylor]: Taking taylor expansion of x in x 1.229 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 1.229 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.229 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.229 * [taylor]: Taking taylor expansion of x in x 1.229 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.229 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.229 * [taylor]: Taking taylor expansion of 0.5 in x 1.229 * [taylor]: Taking taylor expansion of x in x 1.232 * [approximate]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in (x) around 0 1.232 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 1.232 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.232 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.232 * [taylor]: Taking taylor expansion of -1 in x 1.232 * [taylor]: Taking taylor expansion of x in x 1.232 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.232 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.232 * [taylor]: Taking taylor expansion of -0.5 in x 1.232 * [taylor]: Taking taylor expansion of x in x 1.232 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 1.232 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.232 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.232 * [taylor]: Taking taylor expansion of -1 in x 1.233 * [taylor]: Taking taylor expansion of x in x 1.233 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.233 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.233 * [taylor]: Taking taylor expansion of -0.5 in x 1.233 * [taylor]: Taking taylor expansion of x in x 1.235 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 2) 1.235 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (sin (* 0.5 x))) in (x) around 0 1.235 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (* 0.5 x))) in x 1.235 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.235 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.235 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.235 * [taylor]: Taking taylor expansion of 0.5 in x 1.235 * [taylor]: Taking taylor expansion of x in x 1.236 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (* 0.5 x))) in x 1.237 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.237 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.237 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.237 * [taylor]: Taking taylor expansion of 0.5 in x 1.237 * [taylor]: Taking taylor expansion of x in x 1.261 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ 0.5 x))) in (x) around 0 1.261 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ 0.5 x))) in x 1.261 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.261 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.261 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.261 * [taylor]: Taking taylor expansion of 0.5 in x 1.261 * [taylor]: Taking taylor expansion of x in x 1.261 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ 0.5 x))) in x 1.261 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.261 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.261 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.261 * [taylor]: Taking taylor expansion of 0.5 in x 1.261 * [taylor]: Taking taylor expansion of x in x 1.267 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ -0.5 x))) in (x) around 0 1.267 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ -0.5 x))) in x 1.267 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.267 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.267 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.267 * [taylor]: Taking taylor expansion of -0.5 in x 1.267 * [taylor]: Taking taylor expansion of x in x 1.268 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ -0.5 x))) in x 1.268 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.268 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.268 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.268 * [taylor]: Taking taylor expansion of -0.5 in x 1.268 * [taylor]: Taking taylor expansion of x in x 1.273 * * * * [progress]: [ 3 / 3 ] generating series at (2) 1.273 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in (x) around 0 1.273 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 1.274 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.274 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 1.274 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 1.274 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.274 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.274 * [taylor]: Taking taylor expansion of 0.5 in x 1.274 * [taylor]: Taking taylor expansion of x in x 1.276 * [taylor]: Taking taylor expansion of (sin x) in x 1.276 * [taylor]: Taking taylor expansion of x in x 1.277 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 1.277 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.277 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 1.277 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 1.277 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.277 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.277 * [taylor]: Taking taylor expansion of 0.5 in x 1.277 * [taylor]: Taking taylor expansion of x in x 1.280 * [taylor]: Taking taylor expansion of (sin x) in x 1.280 * [taylor]: Taking taylor expansion of x in x 1.314 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in (x) around 0 1.314 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 1.314 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.314 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 1.315 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 1.315 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.315 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.315 * [taylor]: Taking taylor expansion of 0.5 in x 1.315 * [taylor]: Taking taylor expansion of x in x 1.315 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.315 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.315 * [taylor]: Taking taylor expansion of x in x 1.315 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 1.315 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.315 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 1.316 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 1.316 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.316 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.316 * [taylor]: Taking taylor expansion of 0.5 in x 1.316 * [taylor]: Taking taylor expansion of x in x 1.316 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.316 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.316 * [taylor]: Taking taylor expansion of x in x 1.334 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in (x) around 0 1.334 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 1.334 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.335 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 1.335 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 1.335 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.335 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.335 * [taylor]: Taking taylor expansion of -0.5 in x 1.335 * [taylor]: Taking taylor expansion of x in x 1.335 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.335 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.335 * [taylor]: Taking taylor expansion of -1 in x 1.335 * [taylor]: Taking taylor expansion of x in x 1.335 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 1.336 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.336 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 1.336 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 1.336 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.336 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.336 * [taylor]: Taking taylor expansion of -0.5 in x 1.336 * [taylor]: Taking taylor expansion of x in x 1.336 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.336 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.336 * [taylor]: Taking taylor expansion of -1 in x 1.336 * [taylor]: Taking taylor expansion of x in x 1.349 * * * [progress]: simplifying candidates 1.350 * [simplify]: Simplifying using # : (- (log (sin x)) (log (sin (* 0.5 x)))) (log (/ (sin x) (sin (* 0.5 x)))) (exp (/ (sin x) (sin (* 0.5 x)))) (/ (* (* (sin x) (sin x)) (sin x)) (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x)))) (* (cbrt (/ (sin x) (sin (* 0.5 x)))) (cbrt (/ (sin x) (sin (* 0.5 x))))) (cbrt (/ (sin x) (sin (* 0.5 x)))) (* (* (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 x)))) (sqrt (/ (sin x) (sin (* 0.5 x)))) (sqrt (/ (sin x) (sin (* 0.5 x)))) (- (sin x)) (- (sin (* 0.5 x))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (cbrt (sin x)) (cbrt (sin (* 0.5 x)))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (sin (* 0.5 x)))) (/ (cbrt (sin x)) (sqrt (sin (* 0.5 x)))) (/ (* (cbrt (sin x)) (cbrt (sin x))) 1) (/ (cbrt (sin x)) (sin (* 0.5 x))) (/ (sqrt (sin x)) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (sqrt (sin x)) (cbrt (sin (* 0.5 x)))) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (/ (sqrt (sin x)) 1) (/ (sqrt (sin x)) (sin (* 0.5 x))) (/ 1 (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (sin x) (cbrt (sin (* 0.5 x)))) (/ 1 (sqrt (sin (* 0.5 x)))) (/ (sin x) (sqrt (sin (* 0.5 x)))) (/ 1 1) (/ (sin x) (sin (* 0.5 x))) (/ 1 (sin (* 0.5 x))) (/ (sin (* 0.5 x)) (sin x)) (/ (sin x) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (sin x) (sqrt (sin (* 0.5 x)))) (/ (sin x) 1) (/ (sin (* 0.5 x)) (cbrt (sin x))) (/ (sin (* 0.5 x)) (sqrt (sin x))) (/ (sin (* 0.5 x)) (sin x)) (- (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))) (- (+ (log 8.0) (- (log (sin (* 0.5 x))) (log 3.0))) (- (log (sin x)) (log (sin (* 0.5 x))))) (- (+ (log 8.0) (- (log (sin (* 0.5 x))) (log 3.0))) (log (/ (sin x) (sin (* 0.5 x))))) (- (+ (log 8.0) (log (/ (sin (* 0.5 x)) 3.0))) (- (log (sin x)) (log (sin (* 0.5 x))))) (- (+ (log 8.0) (log (/ (sin (* 0.5 x)) 3.0))) (log (/ (sin x) (sin (* 0.5 x))))) (- (log (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (- (log (sin x)) (log (sin (* 0.5 x))))) (- (log (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (log (/ (sin x) (sin (* 0.5 x))))) (log (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin x) (sin (* 0.5 x))))) (exp (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin x) (sin (* 0.5 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 x) (sin x)) (sin x)) (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 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 x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 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 x) (sin x)) (sin x)) (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 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 x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 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 x) (sin x)) (sin x)) (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 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 x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 x))))) (* (cbrt (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin x) (sin (* 0.5 x))))) (cbrt (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin x) (sin (* 0.5 x)))))) (cbrt (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin x) (sin (* 0.5 x))))) (* (* (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin x) (sin (* 0.5 x)))) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin x) (sin (* 0.5 x))))) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin x) (sin (* 0.5 x))))) (sqrt (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin x) (sin (* 0.5 x))))) (sqrt (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin x) (sin (* 0.5 x))))) (- (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (- (/ (sin x) (sin (* 0.5 x)))) (/ 8.0 (* (cbrt (/ (sin x) (sin (* 0.5 x)))) (cbrt (/ (sin x) (sin (* 0.5 x)))))) (/ (/ (sin (* 0.5 x)) 3.0) (cbrt (/ (sin x) (sin (* 0.5 x))))) (/ 8.0 (sqrt (/ (sin x) (sin (* 0.5 x))))) (/ (/ (sin (* 0.5 x)) 3.0) (sqrt (/ (sin x) (sin (* 0.5 x))))) (/ 8.0 (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))))) (/ (/ (sin (* 0.5 x)) 3.0) (/ (cbrt (sin x)) (cbrt (sin (* 0.5 x))))) (/ 8.0 (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (sin (* 0.5 x))))) (/ (/ (sin (* 0.5 x)) 3.0) (/ (cbrt (sin x)) (sqrt (sin (* 0.5 x))))) (/ 8.0 (/ (* (cbrt (sin x)) (cbrt (sin x))) 1)) (/ (/ (sin (* 0.5 x)) 3.0) (/ (cbrt (sin x)) (sin (* 0.5 x)))) (/ 8.0 (/ (sqrt (sin x)) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))))) (/ (/ (sin (* 0.5 x)) 3.0) (/ (sqrt (sin x)) (cbrt (sin (* 0.5 x))))) (/ 8.0 (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x))))) (/ (/ (sin (* 0.5 x)) 3.0) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x))))) (/ 8.0 (/ (sqrt (sin x)) 1)) (/ (/ (sin (* 0.5 x)) 3.0) (/ (sqrt (sin x)) (sin (* 0.5 x)))) (/ 8.0 (/ 1 (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))))) (/ (/ (sin (* 0.5 x)) 3.0) (/ (sin x) (cbrt (sin (* 0.5 x))))) (/ 8.0 (/ 1 (sqrt (sin (* 0.5 x))))) (/ (/ (sin (* 0.5 x)) 3.0) (/ (sin x) (sqrt (sin (* 0.5 x))))) (/ 8.0 (/ 1 1)) (/ (/ (sin (* 0.5 x)) 3.0) (/ (sin x) (sin (* 0.5 x)))) (/ 8.0 1) (/ (/ (sin (* 0.5 x)) 3.0) (/ (sin x) (sin (* 0.5 x)))) (/ 8.0 (sin x)) (/ (/ (sin (* 0.5 x)) 3.0) (/ 1 (sin (* 0.5 x)))) (/ 1 (/ (sin x) (sin (* 0.5 x)))) (/ (/ (sin x) (sin (* 0.5 x))) (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (* (cbrt (/ (sin x) (sin (* 0.5 x)))) (cbrt (/ (sin x) (sin (* 0.5 x)))))) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sqrt (/ (sin x) (sin (* 0.5 x))))) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))))) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (sin (* 0.5 x))))) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (* (cbrt (sin x)) (cbrt (sin x))) 1)) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sqrt (sin x)) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))))) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x))))) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sqrt (sin x)) 1)) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ 1 (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))))) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ 1 (sqrt (sin (* 0.5 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 x)) (/ (/ (sin x) (sin (* 0.5 x))) (/ (sin (* 0.5 x)) 3.0)) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x)) (* (/ (sin x) (sin (* 0.5 x))) 3.0) (- (+ (* 0.005208333333333334 (pow x 4)) 2.0) (* 0.25 (pow x 2))) (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x))) (- (+ (* 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))) (+ (* 0.05555555555555555 (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))) 1.358 * * [simplify]: iteration 0 : 504 enodes (cost 1132 ) 1.369 * * [simplify]: iteration 1 : 2553 enodes (cost 976 ) 1.409 * * [simplify]: iteration 2 : 5001 enodes (cost 950 ) 1.413 * [simplify]: Simplified to: (log (/ (sin x) (sin (* 0.5 x)))) (log (/ (sin x) (sin (* 0.5 x)))) (exp (/ (sin x) (sin (* 0.5 x)))) (pow (/ (sin x) (sin (* 0.5 x))) 3) (* (cbrt (/ (sin x) (sin (* 0.5 x)))) (cbrt (/ (sin x) (sin (* 0.5 x))))) (cbrt (/ (sin x) (sin (* 0.5 x)))) (pow (/ (sin x) (sin (* 0.5 x))) 3) (sqrt (/ (sin x) (sin (* 0.5 x)))) (sqrt (/ (sin x) (sin (* 0.5 x)))) (- (sin x)) (- (sin (* 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))) (/ (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)) (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))) (+ (log (/ 8.0 (sin x))) (log (/ (pow (sin (* 0.5 x)) 2) 3.0))) (+ (log (/ 8.0 (sin x))) (log (/ (pow (sin (* 0.5 x)) 2) 3.0))) (+ (log (/ 8.0 (sin x))) (log (/ (pow (sin (* 0.5 x)) 2) 3.0))) (+ (log (/ 8.0 (sin x))) (log (/ (pow (sin (* 0.5 x)) 2) 3.0))) (+ (log (/ 8.0 (sin x))) (log (/ (pow (sin (* 0.5 x)) 2) 3.0))) (+ (log (/ 8.0 (sin x))) (log (/ (pow (sin (* 0.5 x)) 2) 3.0))) (+ (log (/ 8.0 (sin x))) (log (/ (pow (sin (* 0.5 x)) 2) 3.0))) (pow (exp (/ 8.0 (sin x))) (/ (pow (sin (* 0.5 x)) 2) 3.0)) (pow (* (/ 8.0 (sin x)) (/ (pow (sin (* 0.5 x)) 2) 3.0)) 3) (pow (* (/ 8.0 (sin x)) (/ (pow (sin (* 0.5 x)) 2) 3.0)) 3) (pow (* (/ 8.0 (sin x)) (/ (pow (sin (* 0.5 x)) 2) 3.0)) 3) (pow (* (/ 8.0 (sin x)) (/ (pow (sin (* 0.5 x)) 2) 3.0)) 3) (pow (* (/ 8.0 (sin x)) (/ (pow (sin (* 0.5 x)) 2) 3.0)) 3) (pow (* (/ 8.0 (sin x)) (/ (pow (sin (* 0.5 x)) 2) 3.0)) 3) (* (cbrt (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin x) (sin (* 0.5 x))))) (cbrt (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin x) (sin (* 0.5 x)))))) (cbrt (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin x) (sin (* 0.5 x))))) (pow (* (/ 8.0 (sin x)) (/ (pow (sin (* 0.5 x)) 2) 3.0)) 3) (sqrt (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin x) (sin (* 0.5 x))))) (sqrt (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin x) (sin (* 0.5 x))))) (- (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (- (/ (sin x) (sin (* 0.5 x)))) (/ 8.0 (* (cbrt (/ (sin x) (sin (* 0.5 x)))) (cbrt (/ (sin x) (sin (* 0.5 x)))))) (/ (/ (sin (* 0.5 x)) 3.0) (cbrt (/ (sin x) (sin (* 0.5 x))))) (/ 8.0 (sqrt (/ (sin x) (sin (* 0.5 x))))) (/ (/ (sin (* 0.5 x)) 3.0) (sqrt (/ (sin x) (sin (* 0.5 x))))) (/ 8.0 (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))))) (/ (/ (sin (* 0.5 x)) 3.0) (/ (cbrt (sin x)) (cbrt (sin (* 0.5 x))))) (/ 8.0 (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (sin (* 0.5 x))))) (/ (/ (sin (* 0.5 x)) 3.0) (/ (cbrt (sin x)) (sqrt (sin (* 0.5 x))))) (/ 8.0 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (/ (sin (* 0.5 x)) 3.0) (/ (cbrt (sin x)) (sin (* 0.5 x)))) (/ 8.0 (/ (sqrt (sin x)) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))))) (/ (/ (sin (* 0.5 x)) 3.0) (/ (sqrt (sin x)) (cbrt (sin (* 0.5 x))))) (/ 8.0 (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x))))) (/ (/ (sin (* 0.5 x)) 3.0) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x))))) (/ 8.0 (sqrt (sin x))) (/ (/ (sin (* 0.5 x)) 3.0) (/ (sqrt (sin x)) (sin (* 0.5 x)))) (* 8.0 (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (/ (sin (* 0.5 x)) 3.0) (/ (sin x) (cbrt (sin (* 0.5 x))))) (* 8.0 (sqrt (sin (* 0.5 x)))) (/ (/ (sin (* 0.5 x)) 3.0) (/ (sin x) (sqrt (sin (* 0.5 x))))) 8.0 (* (/ (pow (sin (* 0.5 x)) 2) (sin x)) (/ 1 3.0)) 8.0 (* (/ (pow (sin (* 0.5 x)) 2) (sin x)) (/ 1 3.0)) (/ 8.0 (sin x)) (/ (pow (sin (* 0.5 x)) 2) 3.0) (/ 1 (/ (sin x) (sin (* 0.5 x)))) (* (/ (sin x) 8.0) (/ 1 (/ (pow (sin (* 0.5 x)) 2) 3.0))) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (* (cbrt (/ (sin x) (sin (* 0.5 x)))) (cbrt (/ (sin x) (sin (* 0.5 x)))))) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sqrt (/ (sin x) (sin (* 0.5 x))))) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))))) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (sin (* 0.5 x))))) (/ 8.0 (/ (* (cbrt (sin x)) (cbrt (sin x))) (/ (sin (* 0.5 x)) 3.0))) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sqrt (sin x)) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))))) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x))))) (/ 8.0 (/ (sqrt (sin x)) (/ (sin (* 0.5 x)) 3.0))) (* (* 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)))) (* 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 x)) (* 3.0 (/ (sin x) (pow (sin (* 0.5 x)) 2))) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x)) (* (/ (sin x) (sin (* 0.5 x))) 3.0) (- (+ (* 0.005208333333333334 (pow x 4)) 2.0) (* 0.25 (pow x 2))) (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x))) (- (+ (* 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))) (+ (* 0.05555555555555555 (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))) 1.414 * * * [progress]: adding candidates to table 1.674 * * [progress]: iteration 4 / 4 1.674 * * * [progress]: picking best candidate 1.700 * * * * [pick]: Picked # 1.700 * * * [progress]: localizing error 1.713 * * * [progress]: generating rewritten candidates 1.713 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 1.722 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 1.726 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 1.736 * * * [progress]: generating series expansions 1.736 * * * * [progress]: [ 1 / 3 ] generating series at (2) 1.736 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in (x) around 0 1.736 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 1.736 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.736 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 1.736 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 1.736 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.736 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.736 * [taylor]: Taking taylor expansion of 0.5 in x 1.736 * [taylor]: Taking taylor expansion of x in x 1.739 * [taylor]: Taking taylor expansion of (sin x) in x 1.739 * [taylor]: Taking taylor expansion of x in x 1.740 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 1.740 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.740 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 1.740 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 1.740 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.740 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.740 * [taylor]: Taking taylor expansion of 0.5 in x 1.740 * [taylor]: Taking taylor expansion of x in x 1.743 * [taylor]: Taking taylor expansion of (sin x) in x 1.743 * [taylor]: Taking taylor expansion of x in x 1.777 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in (x) around 0 1.777 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 1.777 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.777 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 1.777 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 1.777 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.777 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.777 * [taylor]: Taking taylor expansion of 0.5 in x 1.777 * [taylor]: Taking taylor expansion of x in x 1.778 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.778 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.778 * [taylor]: Taking taylor expansion of x in x 1.778 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 1.778 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.778 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 1.778 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 1.778 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.778 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.778 * [taylor]: Taking taylor expansion of 0.5 in x 1.778 * [taylor]: Taking taylor expansion of x in x 1.779 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.779 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.779 * [taylor]: Taking taylor expansion of x in x 1.797 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in (x) around 0 1.797 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 1.798 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.798 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 1.798 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 1.798 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.798 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.798 * [taylor]: Taking taylor expansion of -0.5 in x 1.798 * [taylor]: Taking taylor expansion of x in x 1.798 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.798 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.798 * [taylor]: Taking taylor expansion of -1 in x 1.798 * [taylor]: Taking taylor expansion of x in x 1.799 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 1.799 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.799 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 1.799 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 1.799 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.799 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.799 * [taylor]: Taking taylor expansion of -0.5 in x 1.799 * [taylor]: Taking taylor expansion of x in x 1.799 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.799 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.799 * [taylor]: Taking taylor expansion of -1 in x 1.799 * [taylor]: Taking taylor expansion of x in x 1.812 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 1.812 * [approximate]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in (x) around 0 1.812 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 1.812 * [taylor]: Taking taylor expansion of (sin x) in x 1.812 * [taylor]: Taking taylor expansion of x in x 1.812 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.812 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.812 * [taylor]: Taking taylor expansion of 0.5 in x 1.812 * [taylor]: Taking taylor expansion of x in x 1.815 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 1.815 * [taylor]: Taking taylor expansion of (sin x) in x 1.815 * [taylor]: Taking taylor expansion of x in x 1.815 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.815 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.815 * [taylor]: Taking taylor expansion of 0.5 in x 1.816 * [taylor]: Taking taylor expansion of x in x 1.843 * [approximate]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in (x) around 0 1.843 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 1.843 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.843 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.843 * [taylor]: Taking taylor expansion of x in x 1.844 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.844 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.844 * [taylor]: Taking taylor expansion of 0.5 in x 1.844 * [taylor]: Taking taylor expansion of x in x 1.844 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 1.844 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.844 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.844 * [taylor]: Taking taylor expansion of x in x 1.844 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.844 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.844 * [taylor]: Taking taylor expansion of 0.5 in x 1.844 * [taylor]: Taking taylor expansion of x in x 1.847 * [approximate]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in (x) around 0 1.847 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 1.847 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.847 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.847 * [taylor]: Taking taylor expansion of -1 in x 1.847 * [taylor]: Taking taylor expansion of x in x 1.847 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.847 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.847 * [taylor]: Taking taylor expansion of -0.5 in x 1.847 * [taylor]: Taking taylor expansion of x in x 1.848 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 1.848 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.848 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.848 * [taylor]: Taking taylor expansion of -1 in x 1.848 * [taylor]: Taking taylor expansion of x in x 1.848 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.848 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.848 * [taylor]: Taking taylor expansion of -0.5 in x 1.848 * [taylor]: Taking taylor expansion of x in x 1.850 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 1.850 * [approximate]: Taking taylor expansion of (* 3.0 (/ (sin x) (sin (* 0.5 x)))) in (x) around 0 1.850 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sin x) (sin (* 0.5 x)))) in x 1.851 * [taylor]: Taking taylor expansion of 3.0 in x 1.851 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 1.851 * [taylor]: Taking taylor expansion of (sin x) in x 1.851 * [taylor]: Taking taylor expansion of x in x 1.851 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.851 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.851 * [taylor]: Taking taylor expansion of 0.5 in x 1.851 * [taylor]: Taking taylor expansion of x in x 1.854 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sin x) (sin (* 0.5 x)))) in x 1.854 * [taylor]: Taking taylor expansion of 3.0 in x 1.854 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 1.854 * [taylor]: Taking taylor expansion of (sin x) in x 1.854 * [taylor]: Taking taylor expansion of x in x 1.854 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.854 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.854 * [taylor]: Taking taylor expansion of 0.5 in x 1.854 * [taylor]: Taking taylor expansion of x in x 1.891 * [approximate]: Taking taylor expansion of (* 3.0 (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) in (x) around 0 1.892 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) in x 1.892 * [taylor]: Taking taylor expansion of 3.0 in x 1.892 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 1.892 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.892 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.892 * [taylor]: Taking taylor expansion of x in x 1.892 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.892 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.892 * [taylor]: Taking taylor expansion of 0.5 in x 1.892 * [taylor]: Taking taylor expansion of x in x 1.893 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) in x 1.893 * [taylor]: Taking taylor expansion of 3.0 in x 1.893 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 1.893 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.893 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.893 * [taylor]: Taking taylor expansion of x in x 1.893 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.893 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.893 * [taylor]: Taking taylor expansion of 0.5 in x 1.893 * [taylor]: Taking taylor expansion of x in x 1.901 * [approximate]: Taking taylor expansion of (* 3.0 (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) in (x) around 0 1.901 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) in x 1.901 * [taylor]: Taking taylor expansion of 3.0 in x 1.901 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 1.901 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.901 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.901 * [taylor]: Taking taylor expansion of -1 in x 1.901 * [taylor]: Taking taylor expansion of x in x 1.901 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.901 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.901 * [taylor]: Taking taylor expansion of -0.5 in x 1.902 * [taylor]: Taking taylor expansion of x in x 1.902 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) in x 1.902 * [taylor]: Taking taylor expansion of 3.0 in x 1.902 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 1.902 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.902 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.902 * [taylor]: Taking taylor expansion of -1 in x 1.902 * [taylor]: Taking taylor expansion of x in x 1.902 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.902 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.902 * [taylor]: Taking taylor expansion of -0.5 in x 1.902 * [taylor]: Taking taylor expansion of x in x 1.910 * * * [progress]: simplifying candidates 1.912 * [simplify]: Simplifying using # : (- (+ (log 8.0) (log (sin (* 0.5 x)))) (+ (- (log (sin x)) (log (sin (* 0.5 x)))) (log 3.0))) (- (+ (log 8.0) (log (sin (* 0.5 x)))) (+ (log (/ (sin x) (sin (* 0.5 x)))) (log 3.0))) (- (+ (log 8.0) (log (sin (* 0.5 x)))) (log (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (- (log (* 8.0 (sin (* 0.5 x)))) (+ (- (log (sin x)) (log (sin (* 0.5 x)))) (log 3.0))) (- (log (* 8.0 (sin (* 0.5 x)))) (+ (log (/ (sin x) (sin (* 0.5 x)))) (log 3.0))) (- (log (* 8.0 (sin (* 0.5 x)))) (log (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (log (/ (* 8.0 (sin (* 0.5 x))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (exp (/ (* 8.0 (sin (* 0.5 x))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (/ (* (* (* 8.0 8.0) 8.0) (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x)))) (* (/ (* (* (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 (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x)))) (* (* (* (/ (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 (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x)))) (* (* (* (/ (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 (* 0.5 x))) (* 8.0 (sin (* 0.5 x)))) (* 8.0 (sin (* 0.5 x)))) (* (/ (* (* (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 (* 0.5 x))) (* 8.0 (sin (* 0.5 x)))) (* 8.0 (sin (* 0.5 x)))) (* (* (* (/ (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 (* 0.5 x))) (* 8.0 (sin (* 0.5 x)))) (* 8.0 (sin (* 0.5 x)))) (* (* (* (/ (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 (* 0.5 x))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (cbrt (/ (* 8.0 (sin (* 0.5 x))) (* (/ (sin x) (sin (* 0.5 x))) 3.0)))) (cbrt (/ (* 8.0 (sin (* 0.5 x))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (* (* (/ (* 8.0 (sin (* 0.5 x))) (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (/ (* 8.0 (sin (* 0.5 x))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (/ (* 8.0 (sin (* 0.5 x))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (sqrt (/ (* 8.0 (sin (* 0.5 x))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (sqrt (/ (* 8.0 (sin (* 0.5 x))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (- (* 8.0 (sin (* 0.5 x)))) (- (* (/ (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)) (/ (* (/ (sin x) (sin (* 0.5 x))) 3.0) (* 8.0 (sin (* 0.5 x)))) (/ (* 8.0 (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x)))) (/ (* (/ (sin x) (sin (* 0.5 x))) 3.0) (sin (* 0.5 x))) (/ (* 8.0 (sin (* 0.5 x))) (* (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)))) (- (sin x)) (- (sin (* 0.5 x))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (cbrt (sin x)) (cbrt (sin (* 0.5 x)))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (sin (* 0.5 x)))) (/ (cbrt (sin x)) (sqrt (sin (* 0.5 x)))) (/ (* (cbrt (sin x)) (cbrt (sin x))) 1) (/ (cbrt (sin x)) (sin (* 0.5 x))) (/ (sqrt (sin x)) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (sqrt (sin x)) (cbrt (sin (* 0.5 x)))) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (/ (sqrt (sin x)) 1) (/ (sqrt (sin x)) (sin (* 0.5 x))) (/ 1 (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (sin x) (cbrt (sin (* 0.5 x)))) (/ 1 (sqrt (sin (* 0.5 x)))) (/ (sin x) (sqrt (sin (* 0.5 x)))) (/ 1 1) (/ (sin x) (sin (* 0.5 x))) (/ 1 (sin (* 0.5 x))) (/ (sin (* 0.5 x)) (sin x)) (/ (sin x) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (sin x) (sqrt (sin (* 0.5 x)))) (/ (sin x) 1) (/ (sin (* 0.5 x)) (cbrt (sin x))) (/ (sin (* 0.5 x)) (sqrt (sin x))) (/ (sin (* 0.5 x)) (sin x)) (* (/ (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)))) 1.918 * * [simplify]: iteration 0 : 416 enodes (cost 872 ) 1.927 * * [simplify]: iteration 1 : 2168 enodes (cost 701 ) 1.961 * * [simplify]: iteration 2 : 5001 enodes (cost 685 ) 1.964 * [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 (* 0.5 x))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (cbrt (/ (* 8.0 (sin (* 0.5 x))) (* (/ (sin x) (sin (* 0.5 x))) 3.0)))) (cbrt (/ (* 8.0 (sin (* 0.5 x))) (* (/ (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 (* 0.5 x))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (sqrt (/ (* 8.0 (sin (* 0.5 x))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (- (* 8.0 (sin (* 0.5 x)))) (- (* (/ (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)) (/ (* (sin x) 3.0) (* (pow (sin (* 0.5 x)) 2) 8.0)) (/ (* (pow (sin (* 0.5 x)) 2) 8.0) (sin x)) (/ (* (sin x) 3.0) (pow (sin (* 0.5 x)) 2)) (/ (* 8.0 (sin (* 0.5 x))) (* (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)))) (- (sin x)) (- (sin (* 0.5 x))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (cbrt (sin x)) (cbrt (sin (* 0.5 x)))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (sin (* 0.5 x)))) (/ (cbrt (sin x)) (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 (* 0.5 x))) (* (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) 1.965 * * * [progress]: adding candidates to table 2.171 * [progress]: [Phase 3 of 3] Extracting. 2.172 * * [regime]: Finding splitpoints for: (# # # # # # # # # #) 2.173 * * * [regime-changes]: Trying 1 branch expressions: (x) 2.173 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # #) 2.207 * * * [regime]: Found split indices: #