6.999 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.055 * * * [progress]: [2/2] Setting up program. 0.057 * [progress]: [Phase 2 of 3] Improving. 0.057 * [simplify]: Simplifying using # : (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x)) 0.060 * * [simplify]: iteration 0 : 20 enodes (cost 9 ) 0.062 * * [simplify]: iteration 1 : 43 enodes (cost 9 ) 0.064 * * [simplify]: iteration 2 : 93 enodes (cost 9 ) 0.067 * * [simplify]: iteration 3 : 174 enodes (cost 9 ) 0.070 * * [simplify]: iteration 4 : 269 enodes (cost 9 ) 0.074 * * [simplify]: iteration 5 : 288 enodes (cost 9 ) 0.078 * * [simplify]: iteration 6 : 288 enodes (cost 9 ) 0.078 * [simplify]: Simplified to: (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x)) 0.078 * * [progress]: iteration 1 / 4 0.078 * * * [progress]: picking best candidate 0.081 * * * * [pick]: Picked # 0.081 * * * [progress]: localizing error 0.096 * * * [progress]: generating rewritten candidates 0.096 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.107 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.115 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.127 * * * [progress]: generating series expansions 0.127 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.128 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in (x) around 0 0.128 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.128 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.128 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 0.128 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.128 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.128 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.128 * [taylor]: Taking taylor expansion of 0.5 in x 0.128 * [taylor]: Taking taylor expansion of x in x 0.131 * [taylor]: Taking taylor expansion of (sin x) in x 0.131 * [taylor]: Taking taylor expansion of x in x 0.132 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.132 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.132 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 0.132 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.132 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.132 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.133 * [taylor]: Taking taylor expansion of 0.5 in x 0.133 * [taylor]: Taking taylor expansion of x in x 0.135 * [taylor]: Taking taylor expansion of (sin x) in x 0.135 * [taylor]: Taking taylor expansion of x in x 0.177 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in (x) around 0 0.177 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 0.177 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.177 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 0.177 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.177 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.177 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.177 * [taylor]: Taking taylor expansion of 0.5 in x 0.177 * [taylor]: Taking taylor expansion of x in x 0.178 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.178 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.178 * [taylor]: Taking taylor expansion of x in x 0.178 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 0.178 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.178 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 0.178 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.178 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.178 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.178 * [taylor]: Taking taylor expansion of 0.5 in x 0.178 * [taylor]: Taking taylor expansion of x in x 0.179 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.179 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.179 * [taylor]: Taking taylor expansion of x in x 0.198 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in (x) around 0 0.198 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.198 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.198 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 0.198 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.198 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.198 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.198 * [taylor]: Taking taylor expansion of -0.5 in x 0.198 * [taylor]: Taking taylor expansion of x in x 0.199 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.199 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.199 * [taylor]: Taking taylor expansion of -1 in x 0.199 * [taylor]: Taking taylor expansion of x in x 0.199 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.199 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.199 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 0.199 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.199 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.199 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.199 * [taylor]: Taking taylor expansion of -0.5 in x 0.199 * [taylor]: Taking taylor expansion of x in x 0.200 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.200 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.200 * [taylor]: Taking taylor expansion of -1 in x 0.200 * [taylor]: Taking taylor expansion of x in x 0.214 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.214 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in (x) around 0 0.214 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 0.215 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.215 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.215 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.215 * [taylor]: Taking taylor expansion of 0.5 in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.216 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 0.216 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.216 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.216 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.216 * [taylor]: Taking taylor expansion of 0.5 in x 0.216 * [taylor]: Taking taylor expansion of x in x 0.238 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in (x) around 0 0.238 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 0.238 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.238 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.238 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.238 * [taylor]: Taking taylor expansion of 0.5 in x 0.238 * [taylor]: Taking taylor expansion of x in x 0.239 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 0.239 * [taylor]: Taking taylor expansion of 2.6666666666666665 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 0.245 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in (x) around 0 0.246 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 0.246 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.246 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.246 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.246 * [taylor]: Taking taylor expansion of -0.5 in x 0.246 * [taylor]: Taking taylor expansion of x in x 0.246 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 0.246 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.246 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.246 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.246 * [taylor]: Taking taylor expansion of -0.5 in x 0.246 * [taylor]: Taking taylor expansion of x in x 0.252 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.253 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (* 0.5 x)) 2)) in (x) around 0 0.253 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (* 0.5 x)) 2)) in x 0.253 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.253 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.253 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.253 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.253 * [taylor]: Taking taylor expansion of 0.5 in x 0.253 * [taylor]: Taking taylor expansion of x in x 0.255 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (* 0.5 x)) 2)) in x 0.256 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.256 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.256 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.256 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.256 * [taylor]: Taking taylor expansion of 0.5 in x 0.256 * [taylor]: Taking taylor expansion of x in x 0.287 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ 0.5 x)) 2)) in (x) around 0 0.287 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ 0.5 x)) 2)) in x 0.287 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.287 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.288 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.288 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.288 * [taylor]: Taking taylor expansion of 0.5 in x 0.288 * [taylor]: Taking taylor expansion of x in x 0.288 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ 0.5 x)) 2)) in x 0.288 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.288 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.288 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.288 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.288 * [taylor]: Taking taylor expansion of 0.5 in x 0.288 * [taylor]: Taking taylor expansion of x in x 0.300 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ -0.5 x)) 2)) in (x) around 0 0.300 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ -0.5 x)) 2)) in x 0.300 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.300 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.300 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.300 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.300 * [taylor]: Taking taylor expansion of -0.5 in x 0.300 * [taylor]: Taking taylor expansion of x in x 0.300 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ -0.5 x)) 2)) in x 0.300 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.300 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.300 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.300 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.300 * [taylor]: Taking taylor expansion of -0.5 in x 0.300 * [taylor]: Taking taylor expansion of x in x 0.311 * * * [progress]: simplifying candidates 0.313 * [simplify]: Simplifying using # : (expm1 (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))) (log1p (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))) (- (+ (+ (- (log 8.0) (log 3.0)) (log (sin (* x 0.5)))) (log (sin (* x 0.5)))) (log (sin x))) (- (+ (+ (log (/ 8.0 3.0)) (log (sin (* x 0.5)))) (log (sin (* x 0.5)))) (log (sin x))) (- (+ (log (* (/ 8.0 3.0) (sin (* x 0.5)))) (log (sin (* x 0.5)))) (log (sin x))) (- (log (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))) (log (sin x))) (log (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))) (exp (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))) (/ (* (* (/ (* (* 8.0 8.0) 8.0) (* (* 3.0 3.0) 3.0)) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* (sin x) (sin x)) (sin x))) (/ (* (* (* (* (/ 8.0 3.0) (/ 8.0 3.0)) (/ 8.0 3.0)) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* (sin x) (sin x)) (sin x))) (/ (* (* (* (* (/ 8.0 3.0) (sin (* x 0.5))) (* (/ 8.0 3.0) (sin (* x 0.5)))) (* (/ 8.0 3.0) (sin (* x 0.5)))) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* (sin x) (sin x)) (sin x))) (/ (* (* (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* (sin x) (sin x)) (sin x))) (* (cbrt (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))) (cbrt (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x)))) (cbrt (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))) (* (* (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x)) (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))) (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))) (sqrt (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))) (sqrt (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))) (- (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))) (- (sin x)) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sin (* x 0.5)) (cbrt (sin x))) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (sqrt (sin x))) (/ (sin (* x 0.5)) (sqrt (sin x))) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) 1) (/ (sin (* x 0.5)) (sin x)) (/ 1 (sin x)) (/ (sin x) (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))) (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sqrt (sin x))) (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) 1) (/ (sin x) (sin (* x 0.5))) (* (sin x) 3.0) (expm1 (* (/ 8.0 3.0) (sin (* x 0.5)))) (log1p (* (/ 8.0 3.0) (sin (* x 0.5)))) (* (/ 8.0 3.0) (sin (* x 0.5))) (+ (- (log 8.0) (log 3.0)) (log (sin (* x 0.5)))) (+ (log (/ 8.0 3.0)) (log (sin (* x 0.5)))) (log (* (/ 8.0 3.0) (sin (* x 0.5)))) (exp (* (/ 8.0 3.0) (sin (* x 0.5)))) (* (/ (* (* 8.0 8.0) 8.0) (* (* 3.0 3.0) 3.0)) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* (* (/ 8.0 3.0) (/ 8.0 3.0)) (/ 8.0 3.0)) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (cbrt (* (/ 8.0 3.0) (sin (* x 0.5)))) (cbrt (* (/ 8.0 3.0) (sin (* x 0.5))))) (cbrt (* (/ 8.0 3.0) (sin (* x 0.5)))) (* (* (* (/ 8.0 3.0) (sin (* x 0.5))) (* (/ 8.0 3.0) (sin (* x 0.5)))) (* (/ 8.0 3.0) (sin (* x 0.5)))) (sqrt (* (/ 8.0 3.0) (sin (* x 0.5)))) (sqrt (* (/ 8.0 3.0) (sin (* x 0.5)))) (* (sqrt (/ 8.0 3.0)) (sqrt (sin (* x 0.5)))) (* (sqrt (/ 8.0 3.0)) (sqrt (sin (* x 0.5)))) (* (/ (sqrt 8.0) (sqrt 3.0)) (sqrt (sin (* x 0.5)))) (* (/ (sqrt 8.0) (sqrt 3.0)) (sqrt (sin (* x 0.5)))) (* (/ 8.0 3.0) (* (cbrt (sin (* x 0.5))) (cbrt (sin (* x 0.5))))) (* (/ 8.0 3.0) (sqrt (sin (* x 0.5)))) (* (/ 8.0 3.0) 1) (* (cbrt (/ 8.0 3.0)) (sin (* x 0.5))) (* (sqrt (/ 8.0 3.0)) (sin (* x 0.5))) (* (/ (cbrt 8.0) (cbrt 3.0)) (sin (* x 0.5))) (* (/ (cbrt 8.0) (sqrt 3.0)) (sin (* x 0.5))) (* (/ (cbrt 8.0) 3.0) (sin (* x 0.5))) (* (/ (sqrt 8.0) (cbrt 3.0)) (sin (* x 0.5))) (* (/ (sqrt 8.0) (sqrt 3.0)) (sin (* x 0.5))) (* (/ (sqrt 8.0) 3.0) (sin (* x 0.5))) (* (/ 8.0 (cbrt 3.0)) (sin (* x 0.5))) (* (/ 8.0 (sqrt 3.0)) (sin (* x 0.5))) (* (/ 8.0 3.0) (sin (* x 0.5))) (* (/ 8.0 3.0) (sin (* x 0.5))) (* (/ 1 3.0) (sin (* x 0.5))) (* 8.0 (sin (* x 0.5))) (expm1 (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))) (log1p (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (+ (+ (- (log 8.0) (log 3.0)) (log (sin (* x 0.5)))) (log (sin (* x 0.5)))) (+ (+ (log (/ 8.0 3.0)) (log (sin (* x 0.5)))) (log (sin (* x 0.5)))) (+ (log (* (/ 8.0 3.0) (sin (* x 0.5)))) (log (sin (* x 0.5)))) (log (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))) (exp (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* (/ (* (* 8.0 8.0) 8.0) (* (* 3.0 3.0) 3.0)) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* (* (* (/ 8.0 3.0) (/ 8.0 3.0)) (/ 8.0 3.0)) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* (* (* (/ 8.0 3.0) (sin (* x 0.5))) (* (/ 8.0 3.0) (sin (* x 0.5)))) (* (/ 8.0 3.0) (sin (* x 0.5)))) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (cbrt (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))) (cbrt (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))))) (cbrt (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))) (sqrt (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))) (sqrt (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* (/ 8.0 3.0) (sin (* x 0.5))) (* (cbrt (sin (* x 0.5))) (cbrt (sin (* x 0.5))))) (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sqrt (sin (* x 0.5)))) (* (* (/ 8.0 3.0) (sin (* x 0.5))) 1) (* (sin (* x 0.5)) (sin (* x 0.5))) (* (* 8.0 (sin (* x 0.5))) (sin (* x 0.5))) (+ (* 0.05555555555555555 (pow x 3)) (+ (* 0.005555555555555554 (pow x 5)) (* 0.6666666666666666 x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (- (+ (* 1.3333333333333333 x) (* 0.0006944444444444444 (pow x 5))) (* 0.05555555555555555 (pow x 3))) (* 2.6666666666666665 (sin (* 0.5 x))) (* 2.6666666666666665 (sin (* 0.5 x))) (- (+ (* 0.6666666666666666 (pow x 2)) (* 0.0018518518518518515 (pow x 6))) (* 0.05555555555555555 (pow x 4))) (* 2.6666666666666665 (pow (sin (* 0.5 x)) 2)) (* 2.6666666666666665 (pow (sin (* 0.5 x)) 2)) 0.320 * * [simplify]: iteration 0 : 412 enodes (cost 862 ) 0.330 * * [simplify]: iteration 1 : 2127 enodes (cost 656 ) 0.368 * * [simplify]: iteration 2 : 5001 enodes (cost 637 ) 0.371 * [simplify]: Simplified to: (expm1 (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))) (log1p (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))) (- (log (/ 8.0 3.0)) (log (/ (sin x) (pow (sin (* 0.5 x)) 2)))) (- (log (/ 8.0 3.0)) (log (/ (sin x) (pow (sin (* 0.5 x)) 2)))) (- (log (/ 8.0 3.0)) (log (/ (sin x) (pow (sin (* 0.5 x)) 2)))) (- (log (/ 8.0 3.0)) (log (/ (sin x) (pow (sin (* 0.5 x)) 2)))) (- (log (/ 8.0 3.0)) (log (/ (sin x) (pow (sin (* 0.5 x)) 2)))) (exp (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))) (/ 1 (pow (/ (/ (sin x) (/ 8.0 3.0)) (pow (sin (* 0.5 x)) 2)) 3)) (/ 1 (pow (/ (/ (sin x) (/ 8.0 3.0)) (pow (sin (* 0.5 x)) 2)) 3)) (/ 1 (pow (/ (/ (sin x) (/ 8.0 3.0)) (pow (sin (* 0.5 x)) 2)) 3)) (/ 1 (pow (/ (/ (sin x) (/ 8.0 3.0)) (pow (sin (* 0.5 x)) 2)) 3)) (* (cbrt (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))) (cbrt (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x)))) (cbrt (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))) (/ 1 (pow (/ (/ (sin x) (/ 8.0 3.0)) (pow (sin (* 0.5 x)) 2)) 3)) (sqrt (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))) (sqrt (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))) (* (- (/ 8.0 3.0)) (pow (sin (* 0.5 x)) 2)) (- (sin x)) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sin (* 0.5 x)) (cbrt (sin x))) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (sqrt (sin x))) (/ (sin (* 0.5 x)) (sqrt (sin x))) (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)) (/ 1 (sin x)) (/ (/ (sin x) (/ 8.0 3.0)) (pow (sin (* 0.5 x)) 2)) (* (/ (/ 8.0 3.0) (cbrt (sin x))) (/ (pow (sin (* 0.5 x)) 2) (cbrt (sin x)))) (/ (/ 8.0 3.0) (/ (sqrt (sin x)) (pow (sin (* 0.5 x)) 2))) (* (pow (sin (* 0.5 x)) 2) (/ 8.0 3.0)) (/ (sin x) (sin (* 0.5 x))) (* (sin x) 3.0) (expm1 (* (/ 8.0 3.0) (sin (* x 0.5)))) (log1p (* (/ 8.0 3.0) (sin (* x 0.5)))) (* (/ 8.0 3.0) (sin (* x 0.5))) (log (* (/ 8.0 3.0) (sin (* x 0.5)))) (log (* (/ 8.0 3.0) (sin (* x 0.5)))) (log (* (/ 8.0 3.0) (sin (* x 0.5)))) (exp (* (/ 8.0 3.0) (sin (* x 0.5)))) (pow (* (/ 8.0 3.0) (sin (* x 0.5))) 3) (pow (* (/ 8.0 3.0) (sin (* x 0.5))) 3) (* (cbrt (* (/ 8.0 3.0) (sin (* x 0.5)))) (cbrt (* (/ 8.0 3.0) (sin (* x 0.5))))) (cbrt (* (/ 8.0 3.0) (sin (* x 0.5)))) (pow (* (/ 8.0 3.0) (sin (* x 0.5))) 3) (sqrt (* (/ 8.0 3.0) (sin (* x 0.5)))) (sqrt (* (/ 8.0 3.0) (sin (* x 0.5)))) (* (sqrt (/ 8.0 3.0)) (sqrt (sin (* x 0.5)))) (* (sqrt (/ 8.0 3.0)) (sqrt (sin (* x 0.5)))) (* (/ (sqrt 8.0) (sqrt 3.0)) (sqrt (sin (* x 0.5)))) (* (/ (sqrt 8.0) (sqrt 3.0)) (sqrt (sin (* x 0.5)))) (* (/ 8.0 3.0) (* (cbrt (sin (* x 0.5))) (cbrt (sin (* x 0.5))))) (* (/ 8.0 3.0) (sqrt (sin (* x 0.5)))) (/ 8.0 3.0) (* (cbrt (/ 8.0 3.0)) (sin (* x 0.5))) (* (sqrt (/ 8.0 3.0)) (sin (* x 0.5))) (* (/ (cbrt 8.0) (cbrt 3.0)) (sin (* x 0.5))) (* (/ (cbrt 8.0) (sqrt 3.0)) (sin (* x 0.5))) (* (/ (cbrt 8.0) 3.0) (sin (* x 0.5))) (* (/ (sqrt 8.0) (cbrt 3.0)) (sin (* x 0.5))) (* (/ (sqrt 8.0) (sqrt 3.0)) (sin (* x 0.5))) (* (/ (sqrt 8.0) 3.0) (sin (* x 0.5))) (* (/ 8.0 (cbrt 3.0)) (sin (* x 0.5))) (* (/ 8.0 (sqrt 3.0)) (sin (* x 0.5))) (* (/ 8.0 3.0) (sin (* x 0.5))) (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) 3.0) (* 8.0 (sin (* x 0.5))) (expm1 (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))) (log1p (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))) (* (pow (sin (* 0.5 x)) 2) (/ 8.0 3.0)) (* (pow (sin (* 0.5 x)) 2) (/ 8.0 3.0)) (fma 2 (log (sin (* 0.5 x))) (log (/ 8.0 3.0))) (fma 2 (log (sin (* 0.5 x))) (log (/ 8.0 3.0))) (fma 2 (log (sin (* 0.5 x))) (log (/ 8.0 3.0))) (fma 2 (log (sin (* 0.5 x))) (log (/ 8.0 3.0))) (pow (exp (/ 8.0 3.0)) (pow (sin (* 0.5 x)) 2)) (/ (pow (* (pow (sin (* 0.5 x)) 2) 8.0) 3) (pow 3.0 3)) (/ (pow (* (pow (sin (* 0.5 x)) 2) 8.0) 3) (pow 3.0 3)) (/ (pow (* (pow (sin (* 0.5 x)) 2) 8.0) 3) (pow 3.0 3)) (* (cbrt (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))) (cbrt (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))))) (cbrt (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))) (/ (pow (* (pow (sin (* 0.5 x)) 2) 8.0) 3) (pow 3.0 3)) (sqrt (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))) (sqrt (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* (/ 8.0 3.0) (sin (* x 0.5))) (* (cbrt (sin (* x 0.5))) (cbrt (sin (* x 0.5))))) (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sqrt (sin (* x 0.5)))) (* (/ 8.0 3.0) (sin (* x 0.5))) (pow (sin (* 0.5 x)) 2) (* (pow (sin (* 0.5 x)) 2) 8.0) (fma 0.05555555555555555 (pow x 3) (fma 0.005555555555555554 (pow x 5) (* 0.6666666666666666 x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (fma x 1.3333333333333333 (- (* 0.0006944444444444444 (pow x 5)) (* 0.05555555555555555 (pow x 3)))) (* 2.6666666666666665 (sin (* 0.5 x))) (* 2.6666666666666665 (sin (* 0.5 x))) (fma (pow x 2) 0.6666666666666666 (- (* 0.0018518518518518515 (pow x 6)) (* 0.05555555555555555 (pow x 4)))) (* 2.6666666666666665 (pow (sin (* 0.5 x)) 2)) (* 2.6666666666666665 (pow (sin (* 0.5 x)) 2)) 0.372 * * * [progress]: adding candidates to table 0.598 * * [progress]: iteration 2 / 4 0.598 * * * [progress]: picking best candidate 0.624 * * * * [pick]: Picked # 0.624 * * * [progress]: localizing error 0.643 * * * [progress]: generating rewritten candidates 0.643 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.644 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2) 0.646 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 0.647 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 0.656 * * * [progress]: generating series expansions 0.656 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.656 * [approximate]: Taking taylor expansion of (pow (sin x) 1/3) in (x) around 0 0.656 * [taylor]: Taking taylor expansion of (pow (sin x) 1/3) in x 0.656 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin x)))) in x 0.656 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin x))) in x 0.656 * [taylor]: Taking taylor expansion of 1/3 in x 0.656 * [taylor]: Taking taylor expansion of (log (sin x)) in x 0.656 * [taylor]: Taking taylor expansion of (sin x) in x 0.656 * [taylor]: Taking taylor expansion of x in x 0.658 * [taylor]: Taking taylor expansion of (pow (sin x) 1/3) in x 0.658 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin x)))) in x 0.658 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin x))) in x 0.658 * [taylor]: Taking taylor expansion of 1/3 in x 0.658 * [taylor]: Taking taylor expansion of (log (sin x)) in x 0.658 * [taylor]: Taking taylor expansion of (sin x) in x 0.658 * [taylor]: Taking taylor expansion of x in x 0.690 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 x)) 1/3) in (x) around 0 0.690 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 1/3) in x 0.690 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ 1 x))))) in x 0.690 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ 1 x)))) in x 0.690 * [taylor]: Taking taylor expansion of 1/3 in x 0.690 * [taylor]: Taking taylor expansion of (log (sin (/ 1 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 x in x 0.691 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 1/3) in x 0.691 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ 1 x))))) in x 0.691 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ 1 x)))) in x 0.691 * [taylor]: Taking taylor expansion of 1/3 in x 0.691 * [taylor]: Taking taylor expansion of (log (sin (/ 1 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 x in x 0.729 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 x)) 1/3) in (x) around 0 0.729 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 1/3) in x 0.729 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ -1 x))))) in x 0.729 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ -1 x)))) in x 0.729 * [taylor]: Taking taylor expansion of 1/3 in x 0.729 * [taylor]: Taking taylor expansion of (log (sin (/ -1 x))) in x 0.729 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.729 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.729 * [taylor]: Taking taylor expansion of -1 in x 0.729 * [taylor]: Taking taylor expansion of x in x 0.730 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 1/3) in x 0.730 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ -1 x))))) in x 0.730 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ -1 x)))) in x 0.730 * [taylor]: Taking taylor expansion of 1/3 in x 0.730 * [taylor]: Taking taylor expansion of (log (sin (/ -1 x))) in x 0.730 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.730 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.730 * [taylor]: Taking taylor expansion of -1 in x 0.730 * [taylor]: Taking taylor expansion of x in x 0.766 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2) 0.766 * [approximate]: Taking taylor expansion of (pow (sin x) 1/3) in (x) around 0 0.766 * [taylor]: Taking taylor expansion of (pow (sin x) 1/3) in x 0.766 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin x)))) in x 0.766 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin x))) in x 0.766 * [taylor]: Taking taylor expansion of 1/3 in x 0.766 * [taylor]: Taking taylor expansion of (log (sin x)) in x 0.766 * [taylor]: Taking taylor expansion of (sin x) in x 0.766 * [taylor]: Taking taylor expansion of x in x 0.768 * [taylor]: Taking taylor expansion of (pow (sin x) 1/3) in x 0.768 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin x)))) in x 0.768 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin x))) in x 0.768 * [taylor]: Taking taylor expansion of 1/3 in x 0.768 * [taylor]: Taking taylor expansion of (log (sin x)) in x 0.768 * [taylor]: Taking taylor expansion of (sin x) in x 0.768 * [taylor]: Taking taylor expansion of x in x 0.800 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 x)) 1/3) in (x) around 0 0.800 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 1/3) in x 0.800 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ 1 x))))) in x 0.800 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ 1 x)))) in x 0.800 * [taylor]: Taking taylor expansion of 1/3 in x 0.800 * [taylor]: Taking taylor expansion of (log (sin (/ 1 x))) in x 0.800 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.800 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.800 * [taylor]: Taking taylor expansion of x in x 0.801 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 1/3) in x 0.801 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ 1 x))))) in x 0.801 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ 1 x)))) in x 0.801 * [taylor]: Taking taylor expansion of 1/3 in x 0.801 * [taylor]: Taking taylor expansion of (log (sin (/ 1 x))) in x 0.801 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.801 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.801 * [taylor]: Taking taylor expansion of x in x 0.837 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 x)) 1/3) in (x) around 0 0.838 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 1/3) in x 0.838 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ -1 x))))) in x 0.838 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ -1 x)))) in x 0.838 * [taylor]: Taking taylor expansion of 1/3 in x 0.838 * [taylor]: Taking taylor expansion of (log (sin (/ -1 x))) in x 0.838 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.838 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.838 * [taylor]: Taking taylor expansion of -1 in x 0.838 * [taylor]: Taking taylor expansion of x in x 0.838 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 1/3) in x 0.838 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ -1 x))))) in x 0.838 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ -1 x)))) in x 0.838 * [taylor]: Taking taylor expansion of 1/3 in x 0.838 * [taylor]: Taking taylor expansion of (log (sin (/ -1 x))) in x 0.838 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.838 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.838 * [taylor]: Taking taylor expansion of -1 in x 0.839 * [taylor]: Taking taylor expansion of x in x 0.881 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 0.881 * [approximate]: Taking taylor expansion of (pow (sin x) 1/3) in (x) around 0 0.881 * [taylor]: Taking taylor expansion of (pow (sin x) 1/3) in x 0.881 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin x)))) in x 0.881 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin x))) in x 0.881 * [taylor]: Taking taylor expansion of 1/3 in x 0.882 * [taylor]: Taking taylor expansion of (log (sin x)) in x 0.882 * [taylor]: Taking taylor expansion of (sin x) in x 0.882 * [taylor]: Taking taylor expansion of x in x 0.883 * [taylor]: Taking taylor expansion of (pow (sin x) 1/3) in x 0.883 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin x)))) in x 0.883 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin x))) in x 0.883 * [taylor]: Taking taylor expansion of 1/3 in x 0.883 * [taylor]: Taking taylor expansion of (log (sin x)) in x 0.883 * [taylor]: Taking taylor expansion of (sin x) in x 0.883 * [taylor]: Taking taylor expansion of x in x 0.909 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 x)) 1/3) in (x) around 0 0.909 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 1/3) in x 0.909 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ 1 x))))) in x 0.909 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ 1 x)))) in x 0.909 * [taylor]: Taking taylor expansion of 1/3 in x 0.909 * [taylor]: Taking taylor expansion of (log (sin (/ 1 x))) in x 0.909 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.909 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.909 * [taylor]: Taking taylor expansion of x in x 0.909 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 1/3) in x 0.909 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ 1 x))))) in x 0.909 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ 1 x)))) in x 0.909 * [taylor]: Taking taylor expansion of 1/3 in x 0.909 * [taylor]: Taking taylor expansion of (log (sin (/ 1 x))) in x 0.909 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.909 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.909 * [taylor]: Taking taylor expansion of x in x 0.943 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 x)) 1/3) in (x) around 0 0.943 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 1/3) in x 0.943 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ -1 x))))) in x 0.943 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ -1 x)))) in x 0.943 * [taylor]: Taking taylor expansion of 1/3 in x 0.943 * [taylor]: Taking taylor expansion of (log (sin (/ -1 x))) in x 0.943 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.943 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.943 * [taylor]: Taking taylor expansion of -1 in x 0.943 * [taylor]: Taking taylor expansion of x in x 0.944 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 1/3) in x 0.944 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ -1 x))))) in x 0.944 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ -1 x)))) in x 0.944 * [taylor]: Taking taylor expansion of 1/3 in x 0.944 * [taylor]: Taking taylor expansion of (log (sin (/ -1 x))) in x 0.944 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.944 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.944 * [taylor]: Taking taylor expansion of -1 in x 0.944 * [taylor]: Taking taylor expansion of x in x 0.987 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 0.987 * [approximate]: Taking taylor expansion of (pow (pow (sin x) 2) 1/3) in (x) around 0 0.987 * [taylor]: Taking taylor expansion of (pow (pow (sin x) 2) 1/3) in x 0.987 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sin x) 2)))) in x 0.987 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sin x) 2))) in x 0.987 * [taylor]: Taking taylor expansion of 1/3 in x 0.987 * [taylor]: Taking taylor expansion of (log (pow (sin x) 2)) in x 0.987 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 0.987 * [taylor]: Taking taylor expansion of (sin x) in x 0.987 * [taylor]: Taking taylor expansion of x in x 0.988 * [taylor]: Taking taylor expansion of (pow (pow (sin x) 2) 1/3) in x 0.989 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sin x) 2)))) in x 0.989 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sin x) 2))) in x 0.989 * [taylor]: Taking taylor expansion of 1/3 in x 0.989 * [taylor]: Taking taylor expansion of (log (pow (sin x) 2)) in x 0.989 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 0.989 * [taylor]: Taking taylor expansion of (sin x) in x 0.989 * [taylor]: Taking taylor expansion of x in x 1.018 * [approximate]: Taking taylor expansion of (pow (pow (sin (/ 1 x)) 2) 1/3) in (x) around 0 1.018 * [taylor]: Taking taylor expansion of (pow (pow (sin (/ 1 x)) 2) 1/3) in x 1.018 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sin (/ 1 x)) 2)))) in x 1.018 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sin (/ 1 x)) 2))) in x 1.018 * [taylor]: Taking taylor expansion of 1/3 in x 1.018 * [taylor]: Taking taylor expansion of (log (pow (sin (/ 1 x)) 2)) in x 1.018 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 1.018 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.018 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.018 * [taylor]: Taking taylor expansion of x in x 1.019 * [taylor]: Taking taylor expansion of (pow (pow (sin (/ 1 x)) 2) 1/3) in x 1.019 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sin (/ 1 x)) 2)))) in x 1.019 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sin (/ 1 x)) 2))) in x 1.019 * [taylor]: Taking taylor expansion of 1/3 in x 1.019 * [taylor]: Taking taylor expansion of (log (pow (sin (/ 1 x)) 2)) in x 1.019 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 1.019 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.019 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.019 * [taylor]: Taking taylor expansion of x in x 1.068 * [approximate]: Taking taylor expansion of (pow (pow (sin (/ -1 x)) 2) 1/3) in (x) around 0 1.068 * [taylor]: Taking taylor expansion of (pow (pow (sin (/ -1 x)) 2) 1/3) in x 1.068 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sin (/ -1 x)) 2)))) in x 1.068 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sin (/ -1 x)) 2))) in x 1.068 * [taylor]: Taking taylor expansion of 1/3 in x 1.068 * [taylor]: Taking taylor expansion of (log (pow (sin (/ -1 x)) 2)) in x 1.069 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 1.069 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.069 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.069 * [taylor]: Taking taylor expansion of -1 in x 1.069 * [taylor]: Taking taylor expansion of x in x 1.069 * [taylor]: Taking taylor expansion of (pow (pow (sin (/ -1 x)) 2) 1/3) in x 1.070 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sin (/ -1 x)) 2)))) in x 1.070 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sin (/ -1 x)) 2))) in x 1.070 * [taylor]: Taking taylor expansion of 1/3 in x 1.070 * [taylor]: Taking taylor expansion of (log (pow (sin (/ -1 x)) 2)) in x 1.070 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 1.070 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.070 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.070 * [taylor]: Taking taylor expansion of -1 in x 1.070 * [taylor]: Taking taylor expansion of x in x 1.112 * * * [progress]: simplifying candidates 1.114 * [simplify]: Simplifying using # : (expm1 (cbrt (sin x))) (log1p (cbrt (sin x))) (log (cbrt (sin x))) (exp (cbrt (sin x))) (cbrt (* (cbrt (sin x)) (cbrt (sin x)))) (cbrt (cbrt (sin x))) (cbrt (sqrt (sin x))) (cbrt (sqrt (sin x))) (cbrt 1) (cbrt (sin x)) (* (cbrt (cbrt (sin x))) (cbrt (cbrt (sin x)))) (cbrt (cbrt (sin x))) (* (* (cbrt (sin x)) (cbrt (sin x))) (cbrt (sin x))) (sqrt (cbrt (sin x))) (sqrt (cbrt (sin x))) (expm1 (cbrt (sin x))) (log1p (cbrt (sin x))) (log (cbrt (sin x))) (exp (cbrt (sin x))) (cbrt (* (cbrt (sin x)) (cbrt (sin x)))) (cbrt (cbrt (sin x))) (cbrt (sqrt (sin x))) (cbrt (sqrt (sin x))) (cbrt 1) (cbrt (sin x)) (* (cbrt (cbrt (sin x))) (cbrt (cbrt (sin x)))) (cbrt (cbrt (sin x))) (* (* (cbrt (sin x)) (cbrt (sin x))) (cbrt (sin x))) (sqrt (cbrt (sin x))) (sqrt (cbrt (sin x))) (expm1 (cbrt (sin x))) (log1p (cbrt (sin x))) (log (cbrt (sin x))) (exp (cbrt (sin x))) (cbrt (* (cbrt (sin x)) (cbrt (sin x)))) (cbrt (cbrt (sin x))) (cbrt (sqrt (sin x))) (cbrt (sqrt (sin x))) (cbrt 1) (cbrt (sin x)) (* (cbrt (cbrt (sin x))) (cbrt (cbrt (sin x)))) (cbrt (cbrt (sin x))) (* (* (cbrt (sin x)) (cbrt (sin x))) (cbrt (sin x))) (sqrt (cbrt (sin x))) (sqrt (cbrt (sin x))) (expm1 (* (cbrt (sin x)) (cbrt (sin x)))) (log1p (* (cbrt (sin x)) (cbrt (sin x)))) (+ 1/3 1/3) (+ 1 1) (* (sin x) (sin x)) (* (cbrt (sin x)) (cbrt (sin x))) (+ 1 1) (+ (log (cbrt (sin x))) (log (cbrt (sin x)))) (log (* (cbrt (sin x)) (cbrt (sin x)))) (exp (* (cbrt (sin x)) (cbrt (sin x)))) (* (sin x) (sin x)) (* (cbrt (* (cbrt (sin x)) (cbrt (sin x)))) (cbrt (* (cbrt (sin x)) (cbrt (sin x))))) (cbrt (* (cbrt (sin x)) (cbrt (sin x)))) (* (* (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin x)) (cbrt (sin x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (sqrt (* (cbrt (sin x)) (cbrt (sin x)))) (sqrt (* (cbrt (sin x)) (cbrt (sin x)))) (* (cbrt (* (cbrt (sin x)) (cbrt (sin x)))) (cbrt (* (cbrt (sin x)) (cbrt (sin x))))) (* (cbrt (cbrt (sin x))) (cbrt (cbrt (sin x)))) (* (cbrt (sqrt (sin x))) (cbrt (sqrt (sin x)))) (* (cbrt (sqrt (sin x))) (cbrt (sqrt (sin x)))) (* (cbrt 1) (cbrt 1)) (* (cbrt (sin x)) (cbrt (sin x))) (* (* (cbrt (cbrt (sin x))) (cbrt (cbrt (sin x)))) (* (cbrt (cbrt (sin x))) (cbrt (cbrt (sin x))))) (* (cbrt (cbrt (sin x))) (cbrt (cbrt (sin x)))) (* (sqrt (cbrt (sin x))) (sqrt (cbrt (sin x)))) (* (sqrt (cbrt (sin x))) (sqrt (cbrt (sin x)))) (* 1 1) (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sqrt (sin x))) (cbrt (sqrt (sin x)))) (* (cbrt (sqrt (sin x))) (cbrt (sqrt (sin x)))) (* (cbrt (sqrt (sin x))) (sqrt (cbrt (sin x)))) (* (cbrt (sqrt (sin x))) (sqrt (cbrt (sin x)))) (* (sqrt (cbrt (sin x))) (cbrt (sqrt (sin x)))) (* (sqrt (cbrt (sin x))) (cbrt (sqrt (sin x)))) (* (sqrt (cbrt (sin x))) (sqrt (cbrt (sin x)))) (* (sqrt (cbrt (sin x))) (sqrt (cbrt (sin x)))) (* 2 1/3) (* 2 1) (* (cbrt (sin x)) (cbrt (* (cbrt (sin x)) (cbrt (sin x))))) (* (cbrt (sin x)) (cbrt (sqrt (sin x)))) (* (cbrt (sin x)) (cbrt 1)) (* (cbrt (sin x)) (* (cbrt (cbrt (sin x))) (cbrt (cbrt (sin x))))) (* (cbrt (sin x)) (sqrt (cbrt (sin x)))) (* (cbrt (sin x)) 1) (* (cbrt (cbrt (sin x))) (cbrt (sin x))) (* (cbrt (sqrt (sin x))) (cbrt (sin x))) (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (cbrt (sin x))) (cbrt (sin x))) (* (sqrt (cbrt (sin x))) (cbrt (sin x))) (* (cbrt (sin x)) (cbrt (sin x))) (- (pow x 1/3) (+ (* 1/18 (pow (pow x 7) 1/3)) (* 1/3240 (pow (pow x 13) 1/3)))) (pow (sin x) 1/3) (pow (sin x) 1/3) (- (pow x 1/3) (+ (* 1/18 (pow (pow x 7) 1/3)) (* 1/3240 (pow (pow x 13) 1/3)))) (pow (sin x) 1/3) (pow (sin x) 1/3) (- (pow x 1/3) (+ (* 1/18 (pow (pow x 7) 1/3)) (* 1/3240 (pow (pow x 13) 1/3)))) (pow (sin x) 1/3) (pow (sin x) 1/3) (- (+ (pow x 2/3) (* 1/405 (pow (pow x 14) 1/3))) (* 1/9 (pow (pow x 8) 1/3))) (pow (pow (sin x) 2) 1/3) (pow (pow (sin x) 2) 1/3) 1.119 * * [simplify]: iteration 0 : 159 enodes (cost 483 ) 1.124 * * [simplify]: iteration 1 : 568 enodes (cost 431 ) 1.141 * * [simplify]: iteration 2 : 3135 enodes (cost 398 ) 1.214 * * [simplify]: iteration 3 : 5001 enodes (cost 392 ) 1.216 * [simplify]: Simplified to: (expm1 (cbrt (sin x))) (log1p (cbrt (sin x))) (log (cbrt (sin x))) (exp (cbrt (sin x))) (cbrt (* (cbrt (sin x)) (cbrt (sin x)))) (cbrt (cbrt (sin x))) (cbrt (sqrt (sin x))) (cbrt (sqrt (sin x))) 1 (pow (sin x) 1/3) (* (cbrt (cbrt (sin x))) (cbrt (cbrt (sin x)))) (cbrt (cbrt (sin x))) (sin x) (sqrt (cbrt (sin x))) (sqrt (cbrt (sin x))) (expm1 (cbrt (sin x))) (log1p (cbrt (sin x))) (log (cbrt (sin x))) (exp (cbrt (sin x))) (cbrt (* (cbrt (sin x)) (cbrt (sin x)))) (cbrt (cbrt (sin x))) (cbrt (sqrt (sin x))) (cbrt (sqrt (sin x))) 1 (pow (sin x) 1/3) (* (cbrt (cbrt (sin x))) (cbrt (cbrt (sin x)))) (cbrt (cbrt (sin x))) (sin x) (sqrt (cbrt (sin x))) (sqrt (cbrt (sin x))) (expm1 (cbrt (sin x))) (log1p (cbrt (sin x))) (log (cbrt (sin x))) (exp (cbrt (sin x))) (cbrt (* (cbrt (sin x)) (cbrt (sin x)))) (cbrt (cbrt (sin x))) (cbrt (sqrt (sin x))) (cbrt (sqrt (sin x))) 1 (pow (sin x) 1/3) (* (cbrt (cbrt (sin x))) (cbrt (cbrt (sin x)))) (cbrt (cbrt (sin x))) (sin x) (sqrt (cbrt (sin x))) (sqrt (cbrt (sin x))) (expm1 (* (cbrt (sin x)) (cbrt (sin x)))) (log1p (* (cbrt (sin x)) (cbrt (sin x)))) 2/3 2 (pow (sin x) 2) (pow (sin x) 2/3) 2 (* 2/3 (log (sin x))) (* 2/3 (log (sin x))) (pow (exp 1) (pow (sin x) 2/3)) (pow (sin x) 2) (* (cbrt (* (cbrt (sin x)) (cbrt (sin x)))) (cbrt (* (cbrt (sin x)) (cbrt (sin x))))) (cbrt (* (cbrt (sin x)) (cbrt (sin x)))) (pow (sin x) 2) (fabs (pow (sin x) 1/3)) (fabs (pow (sin x) 1/3)) (* (cbrt (* (cbrt (sin x)) (cbrt (sin x)))) (cbrt (* (cbrt (sin x)) (cbrt (sin x))))) (* (cbrt (cbrt (sin x))) (cbrt (cbrt (sin x)))) (* (cbrt (sqrt (sin x))) (cbrt (sqrt (sin x)))) (* (cbrt (sqrt (sin x))) (cbrt (sqrt (sin x)))) 1 (pow (sin x) 2/3) (pow (cbrt (cbrt (sin x))) 4) (* (cbrt (cbrt (sin x))) (cbrt (cbrt (sin x)))) (pow (sin x) 1/3) (pow (sin x) 1/3) 1 (pow (sin x) 2/3) (* (cbrt (sqrt (sin x))) (cbrt (sqrt (sin x)))) (* (cbrt (sqrt (sin x))) (cbrt (sqrt (sin x)))) (* (cbrt (sqrt (sin x))) (sqrt (cbrt (sin x)))) (* (cbrt (sqrt (sin x))) (sqrt (cbrt (sin x)))) (* (cbrt (sqrt (sin x))) (sqrt (cbrt (sin x)))) (* (cbrt (sqrt (sin x))) (sqrt (cbrt (sin x)))) (pow (sin x) 1/3) (pow (sin x) 1/3) 2/3 2 (* (cbrt (sin x)) (cbrt (* (cbrt (sin x)) (cbrt (sin x))))) (* (cbrt (sin x)) (cbrt (sqrt (sin x)))) (pow (sin x) 1/3) (pow (cbrt (cbrt (sin x))) 5) (pow (sqrt (cbrt (sin x))) 3) (pow (sin x) 1/3) (pow (cbrt (cbrt (sin x))) 4) (* (cbrt (sin x)) (cbrt (sqrt (sin x)))) (pow (sin x) 2/3) (pow (cbrt (cbrt (sin x))) 4) (pow (sqrt (cbrt (sin x))) 3) (pow (sin x) 2/3) (- (pow x 1/3) (+ (* 1/18 (pow (pow x 7) 1/3)) (* 1/3240 (pow (pow x 13) 1/3)))) (pow (sin x) 1/3) (pow (sin x) 1/3) (- (pow x 1/3) (+ (* 1/18 (pow (pow x 7) 1/3)) (* 1/3240 (pow (pow x 13) 1/3)))) (pow (sin x) 1/3) (pow (sin x) 1/3) (- (pow x 1/3) (+ (* 1/18 (pow (pow x 7) 1/3)) (* 1/3240 (pow (pow x 13) 1/3)))) (pow (sin x) 1/3) (pow (sin x) 1/3) (fma (pow (pow x 14) 1/3) 1/405 (- (pow x 2/3) (* 1/9 (pow (pow x 8) 1/3)))) (pow (sin x) 2/3) (pow (sin x) 2/3) 1.217 * * * [progress]: adding candidates to table 1.519 * * [progress]: iteration 3 / 4 1.519 * * * [progress]: picking best candidate 1.560 * * * * [pick]: Picked # 1.560 * * * [progress]: localizing error 1.583 * * * [progress]: generating rewritten candidates 1.583 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 1.585 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2 1 2) 1.587 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2 1 1) 1.592 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 2 1 2) 1.595 * * * [progress]: generating series expansions 1.595 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 1.595 * [approximate]: Taking taylor expansion of (pow (sin x) 1/3) in (x) around 0 1.595 * [taylor]: Taking taylor expansion of (pow (sin x) 1/3) in x 1.595 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin x)))) in x 1.595 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin x))) in x 1.595 * [taylor]: Taking taylor expansion of 1/3 in x 1.595 * [taylor]: Taking taylor expansion of (log (sin x)) in x 1.595 * [taylor]: Taking taylor expansion of (sin x) in x 1.595 * [taylor]: Taking taylor expansion of x in x 1.597 * [taylor]: Taking taylor expansion of (pow (sin x) 1/3) in x 1.597 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin x)))) in x 1.597 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin x))) in x 1.597 * [taylor]: Taking taylor expansion of 1/3 in x 1.597 * [taylor]: Taking taylor expansion of (log (sin x)) in x 1.597 * [taylor]: Taking taylor expansion of (sin x) in x 1.597 * [taylor]: Taking taylor expansion of x in x 1.623 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 x)) 1/3) in (x) around 0 1.623 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 1/3) in x 1.623 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ 1 x))))) in x 1.623 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ 1 x)))) in x 1.623 * [taylor]: Taking taylor expansion of 1/3 in x 1.623 * [taylor]: Taking taylor expansion of (log (sin (/ 1 x))) in x 1.623 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.624 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.624 * [taylor]: Taking taylor expansion of x in x 1.624 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 1/3) in x 1.624 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ 1 x))))) in x 1.624 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ 1 x)))) in x 1.624 * [taylor]: Taking taylor expansion of 1/3 in x 1.624 * [taylor]: Taking taylor expansion of (log (sin (/ 1 x))) in x 1.624 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.624 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.624 * [taylor]: Taking taylor expansion of x in x 1.661 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 x)) 1/3) in (x) around 0 1.661 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 1/3) in x 1.661 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ -1 x))))) in x 1.661 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ -1 x)))) in x 1.661 * [taylor]: Taking taylor expansion of 1/3 in x 1.661 * [taylor]: Taking taylor expansion of (log (sin (/ -1 x))) in x 1.661 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.661 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.661 * [taylor]: Taking taylor expansion of -1 in x 1.661 * [taylor]: Taking taylor expansion of x in x 1.661 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 1/3) in x 1.661 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ -1 x))))) in x 1.661 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ -1 x)))) in x 1.661 * [taylor]: Taking taylor expansion of 1/3 in x 1.662 * [taylor]: Taking taylor expansion of (log (sin (/ -1 x))) in x 1.662 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.662 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.662 * [taylor]: Taking taylor expansion of -1 in x 1.662 * [taylor]: Taking taylor expansion of x in x 1.704 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2 1 2) 1.705 * [approximate]: Taking taylor expansion of (pow (sin x) 1/3) in (x) around 0 1.705 * [taylor]: Taking taylor expansion of (pow (sin x) 1/3) in x 1.705 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin x)))) in x 1.705 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin x))) in x 1.705 * [taylor]: Taking taylor expansion of 1/3 in x 1.705 * [taylor]: Taking taylor expansion of (log (sin x)) in x 1.705 * [taylor]: Taking taylor expansion of (sin x) in x 1.705 * [taylor]: Taking taylor expansion of x in x 1.706 * [taylor]: Taking taylor expansion of (pow (sin x) 1/3) in x 1.706 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin x)))) in x 1.706 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin x))) in x 1.706 * [taylor]: Taking taylor expansion of 1/3 in x 1.706 * [taylor]: Taking taylor expansion of (log (sin x)) in x 1.706 * [taylor]: Taking taylor expansion of (sin x) in x 1.706 * [taylor]: Taking taylor expansion of x in x 1.732 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 x)) 1/3) in (x) around 0 1.733 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 1/3) in x 1.733 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ 1 x))))) in x 1.733 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ 1 x)))) in x 1.733 * [taylor]: Taking taylor expansion of 1/3 in x 1.733 * [taylor]: Taking taylor expansion of (log (sin (/ 1 x))) in x 1.733 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.733 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.733 * [taylor]: Taking taylor expansion of x in x 1.733 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 1/3) in x 1.733 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ 1 x))))) in x 1.733 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ 1 x)))) in x 1.733 * [taylor]: Taking taylor expansion of 1/3 in x 1.733 * [taylor]: Taking taylor expansion of (log (sin (/ 1 x))) in x 1.733 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.733 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.733 * [taylor]: Taking taylor expansion of x in x 1.770 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 x)) 1/3) in (x) around 0 1.770 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 1/3) in x 1.770 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ -1 x))))) in x 1.770 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ -1 x)))) in x 1.770 * [taylor]: Taking taylor expansion of 1/3 in x 1.770 * [taylor]: Taking taylor expansion of (log (sin (/ -1 x))) in x 1.770 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.770 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.770 * [taylor]: Taking taylor expansion of -1 in x 1.770 * [taylor]: Taking taylor expansion of x in x 1.771 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 1/3) in x 1.771 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ -1 x))))) in x 1.771 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ -1 x)))) in x 1.771 * [taylor]: Taking taylor expansion of 1/3 in x 1.771 * [taylor]: Taking taylor expansion of (log (sin (/ -1 x))) in x 1.771 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.771 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.771 * [taylor]: Taking taylor expansion of -1 in x 1.771 * [taylor]: Taking taylor expansion of x in x 1.814 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2 1 1) 1.814 * [approximate]: Taking taylor expansion of (pow (sin x) 1/3) in (x) around 0 1.814 * [taylor]: Taking taylor expansion of (pow (sin x) 1/3) in x 1.814 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin x)))) in x 1.814 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin x))) in x 1.814 * [taylor]: Taking taylor expansion of 1/3 in x 1.814 * [taylor]: Taking taylor expansion of (log (sin x)) in x 1.814 * [taylor]: Taking taylor expansion of (sin x) in x 1.814 * [taylor]: Taking taylor expansion of x in x 1.815 * [taylor]: Taking taylor expansion of (pow (sin x) 1/3) in x 1.815 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin x)))) in x 1.815 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin x))) in x 1.815 * [taylor]: Taking taylor expansion of 1/3 in x 1.815 * [taylor]: Taking taylor expansion of (log (sin x)) in x 1.815 * [taylor]: Taking taylor expansion of (sin x) in x 1.815 * [taylor]: Taking taylor expansion of x in x 1.841 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 x)) 1/3) in (x) around 0 1.841 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 1/3) in x 1.841 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ 1 x))))) in x 1.841 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ 1 x)))) in x 1.841 * [taylor]: Taking taylor expansion of 1/3 in x 1.841 * [taylor]: Taking taylor expansion of (log (sin (/ 1 x))) in x 1.841 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.842 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.842 * [taylor]: Taking taylor expansion of x in x 1.842 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 1/3) in x 1.842 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ 1 x))))) in x 1.842 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ 1 x)))) in x 1.842 * [taylor]: Taking taylor expansion of 1/3 in x 1.842 * [taylor]: Taking taylor expansion of (log (sin (/ 1 x))) in x 1.842 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.842 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.842 * [taylor]: Taking taylor expansion of x in x 1.885 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 x)) 1/3) in (x) around 0 1.885 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 1/3) in x 1.885 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ -1 x))))) in x 1.885 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ -1 x)))) in x 1.885 * [taylor]: Taking taylor expansion of 1/3 in x 1.885 * [taylor]: Taking taylor expansion of (log (sin (/ -1 x))) in x 1.885 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.885 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.885 * [taylor]: Taking taylor expansion of -1 in x 1.885 * [taylor]: Taking taylor expansion of x in x 1.886 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 1/3) in x 1.886 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ -1 x))))) in x 1.886 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ -1 x)))) in x 1.886 * [taylor]: Taking taylor expansion of 1/3 in x 1.886 * [taylor]: Taking taylor expansion of (log (sin (/ -1 x))) in x 1.886 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.886 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.886 * [taylor]: Taking taylor expansion of -1 in x 1.886 * [taylor]: Taking taylor expansion of x in x 1.922 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 2 1 2) 1.922 * [approximate]: Taking taylor expansion of (pow (sin x) 1/3) in (x) around 0 1.922 * [taylor]: Taking taylor expansion of (pow (sin x) 1/3) in x 1.922 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin x)))) in x 1.922 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin x))) in x 1.922 * [taylor]: Taking taylor expansion of 1/3 in x 1.922 * [taylor]: Taking taylor expansion of (log (sin x)) in x 1.922 * [taylor]: Taking taylor expansion of (sin x) in x 1.922 * [taylor]: Taking taylor expansion of x in x 1.924 * [taylor]: Taking taylor expansion of (pow (sin x) 1/3) in x 1.924 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin x)))) in x 1.924 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin x))) in x 1.924 * [taylor]: Taking taylor expansion of 1/3 in x 1.924 * [taylor]: Taking taylor expansion of (log (sin x)) in x 1.924 * [taylor]: Taking taylor expansion of (sin x) in x 1.924 * [taylor]: Taking taylor expansion of x in x 1.950 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 x)) 1/3) in (x) around 0 1.950 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 1/3) in x 1.950 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ 1 x))))) in x 1.950 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ 1 x)))) in x 1.950 * [taylor]: Taking taylor expansion of 1/3 in x 1.950 * [taylor]: Taking taylor expansion of (log (sin (/ 1 x))) in x 1.950 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.950 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.950 * [taylor]: Taking taylor expansion of x in x 1.951 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 1/3) in x 1.951 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ 1 x))))) in x 1.951 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ 1 x)))) in x 1.951 * [taylor]: Taking taylor expansion of 1/3 in x 1.951 * [taylor]: Taking taylor expansion of (log (sin (/ 1 x))) in x 1.951 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.951 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.951 * [taylor]: Taking taylor expansion of x in x 1.994 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 x)) 1/3) in (x) around 0 1.994 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 1/3) in x 1.994 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ -1 x))))) in x 1.994 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ -1 x)))) in x 1.994 * [taylor]: Taking taylor expansion of 1/3 in x 1.994 * [taylor]: Taking taylor expansion of (log (sin (/ -1 x))) in x 1.994 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.994 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.994 * [taylor]: Taking taylor expansion of -1 in x 1.994 * [taylor]: Taking taylor expansion of x in x 1.995 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 1/3) in x 1.995 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ -1 x))))) in x 1.995 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ -1 x)))) in x 1.995 * [taylor]: Taking taylor expansion of 1/3 in x 1.995 * [taylor]: Taking taylor expansion of (log (sin (/ -1 x))) in x 1.995 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.995 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.995 * [taylor]: Taking taylor expansion of -1 in x 1.995 * [taylor]: Taking taylor expansion of x in x 2.031 * * * [progress]: simplifying candidates 2.032 * [simplify]: Simplifying using # : (expm1 (cbrt (sin x))) (log1p (cbrt (sin x))) (log (cbrt (sin x))) (exp (cbrt (sin x))) (cbrt (* (cbrt (sin x)) (cbrt (sin x)))) (cbrt (cbrt (sin x))) (cbrt (sqrt (sin x))) (cbrt (sqrt (sin x))) (cbrt 1) (cbrt (sin x)) (* (cbrt (cbrt (sin x))) (cbrt (cbrt (sin x)))) (cbrt (cbrt (sin x))) (* (* (cbrt (sin x)) (cbrt (sin x))) (cbrt (sin x))) (sqrt (cbrt (sin x))) (sqrt (cbrt (sin x))) (expm1 (cbrt (sin x))) (log1p (cbrt (sin x))) (log (cbrt (sin x))) (exp (cbrt (sin x))) (cbrt (* (cbrt (sin x)) (cbrt (sin x)))) (cbrt (cbrt (sin x))) (cbrt (sqrt (sin x))) (cbrt (sqrt (sin x))) (cbrt 1) (cbrt (sin x)) (* (cbrt (cbrt (sin x))) (cbrt (cbrt (sin x)))) (cbrt (cbrt (sin x))) (* (* (cbrt (sin x)) (cbrt (sin x))) (cbrt (sin x))) (sqrt (cbrt (sin x))) (sqrt (cbrt (sin x))) (expm1 (cbrt (sin x))) (log1p (cbrt (sin x))) (log (cbrt (sin x))) (exp (cbrt (sin x))) (cbrt (* (cbrt (sin x)) (cbrt (sin x)))) (cbrt (cbrt (sin x))) (cbrt (sqrt (sin x))) (cbrt (sqrt (sin x))) (cbrt 1) (cbrt (sin x)) (* (cbrt (cbrt (sin x))) (cbrt (cbrt (sin x)))) (cbrt (cbrt (sin x))) (* (* (cbrt (sin x)) (cbrt (sin x))) (cbrt (sin x))) (sqrt (cbrt (sin x))) (sqrt (cbrt (sin x))) (expm1 (cbrt (sin x))) (log1p (cbrt (sin x))) (log (cbrt (sin x))) (exp (cbrt (sin x))) (cbrt (* (cbrt (sin x)) (cbrt (sin x)))) (cbrt (cbrt (sin x))) (cbrt (sqrt (sin x))) (cbrt (sqrt (sin x))) (cbrt 1) (cbrt (sin x)) (* (cbrt (cbrt (sin x))) (cbrt (cbrt (sin x)))) (cbrt (cbrt (sin x))) (* (* (cbrt (sin x)) (cbrt (sin x))) (cbrt (sin x))) (sqrt (cbrt (sin x))) (sqrt (cbrt (sin x))) (- (pow x 1/3) (+ (* 1/18 (pow (pow x 7) 1/3)) (* 1/3240 (pow (pow x 13) 1/3)))) (pow (sin x) 1/3) (pow (sin x) 1/3) (- (pow x 1/3) (+ (* 1/18 (pow (pow x 7) 1/3)) (* 1/3240 (pow (pow x 13) 1/3)))) (pow (sin x) 1/3) (pow (sin x) 1/3) (- (pow x 1/3) (+ (* 1/18 (pow (pow x 7) 1/3)) (* 1/3240 (pow (pow x 13) 1/3)))) (pow (sin x) 1/3) (pow (sin x) 1/3) (- (pow x 1/3) (+ (* 1/18 (pow (pow x 7) 1/3)) (* 1/3240 (pow (pow x 13) 1/3)))) (pow (sin x) 1/3) (pow (sin x) 1/3) 2.035 * * [simplify]: iteration 0 : 62 enodes (cost 268 ) 2.038 * * [simplify]: iteration 1 : 132 enodes (cost 248 ) 2.041 * * [simplify]: iteration 2 : 334 enodes (cost 240 ) 2.050 * * [simplify]: iteration 3 : 1067 enodes (cost 240 ) 2.082 * * [simplify]: iteration 4 : 5001 enodes (cost 240 ) 2.084 * [simplify]: Simplified to: (expm1 (cbrt (sin x))) (log1p (cbrt (sin x))) (log (cbrt (sin x))) (exp (cbrt (sin x))) (cbrt (* (cbrt (sin x)) (cbrt (sin x)))) (cbrt (cbrt (sin x))) (cbrt (sqrt (sin x))) (cbrt (sqrt (sin x))) (cbrt 1) (pow (sin x) 1/3) (* (cbrt (cbrt (sin x))) (cbrt (cbrt (sin x)))) (cbrt (cbrt (sin x))) (sin x) (sqrt (cbrt (sin x))) (sqrt (cbrt (sin x))) (expm1 (cbrt (sin x))) (log1p (cbrt (sin x))) (log (cbrt (sin x))) (exp (cbrt (sin x))) (cbrt (* (cbrt (sin x)) (cbrt (sin x)))) (cbrt (cbrt (sin x))) (cbrt (sqrt (sin x))) (cbrt (sqrt (sin x))) (cbrt 1) (pow (sin x) 1/3) (* (cbrt (cbrt (sin x))) (cbrt (cbrt (sin x)))) (cbrt (cbrt (sin x))) (sin x) (sqrt (cbrt (sin x))) (sqrt (cbrt (sin x))) (expm1 (cbrt (sin x))) (log1p (cbrt (sin x))) (log (cbrt (sin x))) (exp (cbrt (sin x))) (cbrt (* (cbrt (sin x)) (cbrt (sin x)))) (cbrt (cbrt (sin x))) (cbrt (sqrt (sin x))) (cbrt (sqrt (sin x))) (cbrt 1) (pow (sin x) 1/3) (* (cbrt (cbrt (sin x))) (cbrt (cbrt (sin x)))) (cbrt (cbrt (sin x))) (sin x) (sqrt (cbrt (sin x))) (sqrt (cbrt (sin x))) (expm1 (cbrt (sin x))) (log1p (cbrt (sin x))) (log (cbrt (sin x))) (exp (cbrt (sin x))) (cbrt (* (cbrt (sin x)) (cbrt (sin x)))) (cbrt (cbrt (sin x))) (cbrt (sqrt (sin x))) (cbrt (sqrt (sin x))) (cbrt 1) (pow (sin x) 1/3) (* (cbrt (cbrt (sin x))) (cbrt (cbrt (sin x)))) (cbrt (cbrt (sin x))) (sin x) (sqrt (cbrt (sin x))) (sqrt (cbrt (sin x))) (- (pow x 1/3) (+ (* 1/18 (pow (pow x 7) 1/3)) (* 1/3240 (pow (pow x 13) 1/3)))) (pow (sin x) 1/3) (pow (sin x) 1/3) (- (pow x 1/3) (+ (* 1/18 (pow (pow x 7) 1/3)) (* 1/3240 (pow (pow x 13) 1/3)))) (pow (sin x) 1/3) (pow (sin x) 1/3) (- (pow x 1/3) (+ (* 1/18 (pow (pow x 7) 1/3)) (* 1/3240 (pow (pow x 13) 1/3)))) (pow (sin x) 1/3) (pow (sin x) 1/3) (- (pow x 1/3) (+ (* 1/18 (pow (pow x 7) 1/3)) (* 1/3240 (pow (pow x 13) 1/3)))) (pow (sin x) 1/3) (pow (sin x) 1/3) 2.084 * * * [progress]: adding candidates to table 2.366 * * [progress]: iteration 4 / 4 2.366 * * * [progress]: picking best candidate 2.413 * * * * [pick]: Picked # 2.413 * * * [progress]: localizing error 2.435 * * * [progress]: generating rewritten candidates 2.435 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2 1) 2.437 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2 1) 2.439 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1 1) 2.440 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2) 2.443 * * * [progress]: generating series expansions 2.443 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2 1) 2.443 * [approximate]: Taking taylor expansion of (pow (sin x) 1/3) in (x) around 0 2.443 * [taylor]: Taking taylor expansion of (pow (sin x) 1/3) in x 2.443 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin x)))) in x 2.443 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin x))) in x 2.443 * [taylor]: Taking taylor expansion of 1/3 in x 2.443 * [taylor]: Taking taylor expansion of (log (sin x)) in x 2.443 * [taylor]: Taking taylor expansion of (sin x) in x 2.443 * [taylor]: Taking taylor expansion of x in x 2.445 * [taylor]: Taking taylor expansion of (pow (sin x) 1/3) in x 2.445 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin x)))) in x 2.445 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin x))) in x 2.445 * [taylor]: Taking taylor expansion of 1/3 in x 2.445 * [taylor]: Taking taylor expansion of (log (sin x)) in x 2.445 * [taylor]: Taking taylor expansion of (sin x) in x 2.445 * [taylor]: Taking taylor expansion of x in x 2.478 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 x)) 1/3) in (x) around 0 2.478 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 1/3) in x 2.478 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ 1 x))))) in x 2.478 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ 1 x)))) in x 2.478 * [taylor]: Taking taylor expansion of 1/3 in x 2.478 * [taylor]: Taking taylor expansion of (log (sin (/ 1 x))) in x 2.478 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.478 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.478 * [taylor]: Taking taylor expansion of x in x 2.479 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 1/3) in x 2.479 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ 1 x))))) in x 2.479 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ 1 x)))) in x 2.479 * [taylor]: Taking taylor expansion of 1/3 in x 2.479 * [taylor]: Taking taylor expansion of (log (sin (/ 1 x))) in x 2.479 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.479 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.479 * [taylor]: Taking taylor expansion of x in x 2.516 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 x)) 1/3) in (x) around 0 2.516 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 1/3) in x 2.516 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ -1 x))))) in x 2.516 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ -1 x)))) in x 2.516 * [taylor]: Taking taylor expansion of 1/3 in x 2.516 * [taylor]: Taking taylor expansion of (log (sin (/ -1 x))) in x 2.516 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.516 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.516 * [taylor]: Taking taylor expansion of -1 in x 2.516 * [taylor]: Taking taylor expansion of x in x 2.517 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 1/3) in x 2.517 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ -1 x))))) in x 2.517 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ -1 x)))) in x 2.517 * [taylor]: Taking taylor expansion of 1/3 in x 2.517 * [taylor]: Taking taylor expansion of (log (sin (/ -1 x))) in x 2.517 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.517 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.517 * [taylor]: Taking taylor expansion of -1 in x 2.517 * [taylor]: Taking taylor expansion of x in x 2.553 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2 1) 2.554 * [approximate]: Taking taylor expansion of (pow (sin x) 1/3) in (x) around 0 2.554 * [taylor]: Taking taylor expansion of (pow (sin x) 1/3) in x 2.554 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin x)))) in x 2.554 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin x))) in x 2.554 * [taylor]: Taking taylor expansion of 1/3 in x 2.554 * [taylor]: Taking taylor expansion of (log (sin x)) in x 2.554 * [taylor]: Taking taylor expansion of (sin x) in x 2.554 * [taylor]: Taking taylor expansion of x in x 2.555 * [taylor]: Taking taylor expansion of (pow (sin x) 1/3) in x 2.555 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin x)))) in x 2.555 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin x))) in x 2.555 * [taylor]: Taking taylor expansion of 1/3 in x 2.555 * [taylor]: Taking taylor expansion of (log (sin x)) in x 2.555 * [taylor]: Taking taylor expansion of (sin x) in x 2.555 * [taylor]: Taking taylor expansion of x in x 2.588 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 x)) 1/3) in (x) around 0 2.588 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 1/3) in x 2.588 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ 1 x))))) in x 2.588 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ 1 x)))) in x 2.588 * [taylor]: Taking taylor expansion of 1/3 in x 2.588 * [taylor]: Taking taylor expansion of (log (sin (/ 1 x))) in x 2.588 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.588 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.588 * [taylor]: Taking taylor expansion of x in x 2.589 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 1/3) in x 2.589 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ 1 x))))) in x 2.589 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ 1 x)))) in x 2.589 * [taylor]: Taking taylor expansion of 1/3 in x 2.589 * [taylor]: Taking taylor expansion of (log (sin (/ 1 x))) in x 2.589 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.589 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.589 * [taylor]: Taking taylor expansion of x in x 2.625 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 x)) 1/3) in (x) around 0 2.625 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 1/3) in x 2.625 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ -1 x))))) in x 2.625 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ -1 x)))) in x 2.625 * [taylor]: Taking taylor expansion of 1/3 in x 2.625 * [taylor]: Taking taylor expansion of (log (sin (/ -1 x))) in x 2.626 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.626 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.626 * [taylor]: Taking taylor expansion of -1 in x 2.626 * [taylor]: Taking taylor expansion of x in x 2.626 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 1/3) in x 2.626 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ -1 x))))) in x 2.626 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ -1 x)))) in x 2.626 * [taylor]: Taking taylor expansion of 1/3 in x 2.626 * [taylor]: Taking taylor expansion of (log (sin (/ -1 x))) in x 2.626 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.626 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.626 * [taylor]: Taking taylor expansion of -1 in x 2.626 * [taylor]: Taking taylor expansion of x in x 2.670 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1 1) 2.670 * [approximate]: Taking taylor expansion of (pow (sin x) 1/3) in (x) around 0 2.670 * [taylor]: Taking taylor expansion of (pow (sin x) 1/3) in x 2.670 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin x)))) in x 2.670 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin x))) in x 2.670 * [taylor]: Taking taylor expansion of 1/3 in x 2.670 * [taylor]: Taking taylor expansion of (log (sin x)) in x 2.670 * [taylor]: Taking taylor expansion of (sin x) in x 2.670 * [taylor]: Taking taylor expansion of x in x 2.672 * [taylor]: Taking taylor expansion of (pow (sin x) 1/3) in x 2.672 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin x)))) in x 2.672 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin x))) in x 2.672 * [taylor]: Taking taylor expansion of 1/3 in x 2.672 * [taylor]: Taking taylor expansion of (log (sin x)) in x 2.672 * [taylor]: Taking taylor expansion of (sin x) in x 2.672 * [taylor]: Taking taylor expansion of x in x 2.699 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 x)) 1/3) in (x) around 0 2.699 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 1/3) in x 2.699 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ 1 x))))) in x 2.699 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ 1 x)))) in x 2.699 * [taylor]: Taking taylor expansion of 1/3 in x 2.699 * [taylor]: Taking taylor expansion of (log (sin (/ 1 x))) in x 2.699 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.699 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.699 * [taylor]: Taking taylor expansion of x in x 2.699 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 1/3) in x 2.700 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ 1 x))))) in x 2.700 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ 1 x)))) in x 2.700 * [taylor]: Taking taylor expansion of 1/3 in x 2.700 * [taylor]: Taking taylor expansion of (log (sin (/ 1 x))) in x 2.700 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.700 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.700 * [taylor]: Taking taylor expansion of x in x 2.737 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 x)) 1/3) in (x) around 0 2.737 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 1/3) in x 2.737 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ -1 x))))) in x 2.737 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ -1 x)))) in x 2.737 * [taylor]: Taking taylor expansion of 1/3 in x 2.737 * [taylor]: Taking taylor expansion of (log (sin (/ -1 x))) in x 2.737 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.737 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.737 * [taylor]: Taking taylor expansion of -1 in x 2.737 * [taylor]: Taking taylor expansion of x in x 2.738 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 1/3) in x 2.738 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ -1 x))))) in x 2.738 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ -1 x)))) in x 2.738 * [taylor]: Taking taylor expansion of 1/3 in x 2.738 * [taylor]: Taking taylor expansion of (log (sin (/ -1 x))) in x 2.738 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.738 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.738 * [taylor]: Taking taylor expansion of -1 in x 2.738 * [taylor]: Taking taylor expansion of x in x 2.781 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2) 2.781 * [approximate]: Taking taylor expansion of (pow (sin x) 1/3) in (x) around 0 2.781 * [taylor]: Taking taylor expansion of (pow (sin x) 1/3) in x 2.781 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin x)))) in x 2.781 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin x))) in x 2.781 * [taylor]: Taking taylor expansion of 1/3 in x 2.781 * [taylor]: Taking taylor expansion of (log (sin x)) in x 2.781 * [taylor]: Taking taylor expansion of (sin x) in x 2.781 * [taylor]: Taking taylor expansion of x in x 2.782 * [taylor]: Taking taylor expansion of (pow (sin x) 1/3) in x 2.782 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin x)))) in x 2.782 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin x))) in x 2.782 * [taylor]: Taking taylor expansion of 1/3 in x 2.782 * [taylor]: Taking taylor expansion of (log (sin x)) in x 2.782 * [taylor]: Taking taylor expansion of (sin x) in x 2.782 * [taylor]: Taking taylor expansion of x in x 2.809 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 x)) 1/3) in (x) around 0 2.809 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 1/3) in x 2.809 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ 1 x))))) in x 2.809 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ 1 x)))) in x 2.809 * [taylor]: Taking taylor expansion of 1/3 in x 2.809 * [taylor]: Taking taylor expansion of (log (sin (/ 1 x))) in x 2.809 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.809 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.809 * [taylor]: Taking taylor expansion of x in x 2.809 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 1/3) in x 2.810 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ 1 x))))) in x 2.810 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ 1 x)))) in x 2.810 * [taylor]: Taking taylor expansion of 1/3 in x 2.810 * [taylor]: Taking taylor expansion of (log (sin (/ 1 x))) in x 2.810 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.810 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.810 * [taylor]: Taking taylor expansion of x in x 2.853 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 x)) 1/3) in (x) around 0 2.853 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 1/3) in x 2.853 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ -1 x))))) in x 2.853 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ -1 x)))) in x 2.853 * [taylor]: Taking taylor expansion of 1/3 in x 2.853 * [taylor]: Taking taylor expansion of (log (sin (/ -1 x))) in x 2.853 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.853 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.853 * [taylor]: Taking taylor expansion of -1 in x 2.853 * [taylor]: Taking taylor expansion of x in x 2.854 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 1/3) in x 2.854 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ -1 x))))) in x 2.854 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ -1 x)))) in x 2.854 * [taylor]: Taking taylor expansion of 1/3 in x 2.854 * [taylor]: Taking taylor expansion of (log (sin (/ -1 x))) in x 2.854 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.854 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.854 * [taylor]: Taking taylor expansion of -1 in x 2.854 * [taylor]: Taking taylor expansion of x in x 2.891 * * * [progress]: simplifying candidates 2.892 * [simplify]: Simplifying using # : (expm1 (cbrt (sin x))) (log1p (cbrt (sin x))) (log (cbrt (sin x))) (exp (cbrt (sin x))) (cbrt (* (cbrt (sin x)) (cbrt (sin x)))) (cbrt (cbrt (sin x))) (cbrt (sqrt (sin x))) (cbrt (sqrt (sin x))) (cbrt 1) (cbrt (sin x)) (* (cbrt (cbrt (sin x))) (cbrt (cbrt (sin x)))) (cbrt (cbrt (sin x))) (* (* (cbrt (sin x)) (cbrt (sin x))) (cbrt (sin x))) (sqrt (cbrt (sin x))) (sqrt (cbrt (sin x))) (expm1 (cbrt (sin x))) (log1p (cbrt (sin x))) (log (cbrt (sin x))) (exp (cbrt (sin x))) (cbrt (* (cbrt (sin x)) (cbrt (sin x)))) (cbrt (cbrt (sin x))) (cbrt (sqrt (sin x))) (cbrt (sqrt (sin x))) (cbrt 1) (cbrt (sin x)) (* (cbrt (cbrt (sin x))) (cbrt (cbrt (sin x)))) (cbrt (cbrt (sin x))) (* (* (cbrt (sin x)) (cbrt (sin x))) (cbrt (sin x))) (sqrt (cbrt (sin x))) (sqrt (cbrt (sin x))) (expm1 (cbrt (sin x))) (log1p (cbrt (sin x))) (log (cbrt (sin x))) (exp (cbrt (sin x))) (cbrt (* (cbrt (sin x)) (cbrt (sin x)))) (cbrt (cbrt (sin x))) (cbrt (sqrt (sin x))) (cbrt (sqrt (sin x))) (cbrt 1) (cbrt (sin x)) (* (cbrt (cbrt (sin x))) (cbrt (cbrt (sin x)))) (cbrt (cbrt (sin x))) (* (* (cbrt (sin x)) (cbrt (sin x))) (cbrt (sin x))) (sqrt (cbrt (sin x))) (sqrt (cbrt (sin x))) (expm1 (cbrt (sin x))) (log1p (cbrt (sin x))) (log (cbrt (sin x))) (exp (cbrt (sin x))) (cbrt (* (cbrt (sin x)) (cbrt (sin x)))) (cbrt (cbrt (sin x))) (cbrt (sqrt (sin x))) (cbrt (sqrt (sin x))) (cbrt 1) (cbrt (sin x)) (* (cbrt (cbrt (sin x))) (cbrt (cbrt (sin x)))) (cbrt (cbrt (sin x))) (* (* (cbrt (sin x)) (cbrt (sin x))) (cbrt (sin x))) (sqrt (cbrt (sin x))) (sqrt (cbrt (sin x))) (- (pow x 1/3) (+ (* 1/18 (pow (pow x 7) 1/3)) (* 1/3240 (pow (pow x 13) 1/3)))) (pow (sin x) 1/3) (pow (sin x) 1/3) (- (pow x 1/3) (+ (* 1/18 (pow (pow x 7) 1/3)) (* 1/3240 (pow (pow x 13) 1/3)))) (pow (sin x) 1/3) (pow (sin x) 1/3) (- (pow x 1/3) (+ (* 1/18 (pow (pow x 7) 1/3)) (* 1/3240 (pow (pow x 13) 1/3)))) (pow (sin x) 1/3) (pow (sin x) 1/3) (- (pow x 1/3) (+ (* 1/18 (pow (pow x 7) 1/3)) (* 1/3240 (pow (pow x 13) 1/3)))) (pow (sin x) 1/3) (pow (sin x) 1/3) 2.896 * * [simplify]: iteration 0 : 62 enodes (cost 268 ) 2.898 * * [simplify]: iteration 1 : 132 enodes (cost 248 ) 2.902 * * [simplify]: iteration 2 : 334 enodes (cost 240 ) 2.910 * * [simplify]: iteration 3 : 1067 enodes (cost 240 ) 2.944 * * [simplify]: iteration 4 : 5001 enodes (cost 240 ) 2.946 * [simplify]: Simplified to: (expm1 (cbrt (sin x))) (log1p (cbrt (sin x))) (log (cbrt (sin x))) (exp (cbrt (sin x))) (cbrt (* (cbrt (sin x)) (cbrt (sin x)))) (cbrt (cbrt (sin x))) (cbrt (sqrt (sin x))) (cbrt (sqrt (sin x))) (cbrt 1) (pow (sin x) 1/3) (* (cbrt (cbrt (sin x))) (cbrt (cbrt (sin x)))) (cbrt (cbrt (sin x))) (sin x) (sqrt (cbrt (sin x))) (sqrt (cbrt (sin x))) (expm1 (cbrt (sin x))) (log1p (cbrt (sin x))) (log (cbrt (sin x))) (exp (cbrt (sin x))) (cbrt (* (cbrt (sin x)) (cbrt (sin x)))) (cbrt (cbrt (sin x))) (cbrt (sqrt (sin x))) (cbrt (sqrt (sin x))) (cbrt 1) (pow (sin x) 1/3) (* (cbrt (cbrt (sin x))) (cbrt (cbrt (sin x)))) (cbrt (cbrt (sin x))) (sin x) (sqrt (cbrt (sin x))) (sqrt (cbrt (sin x))) (expm1 (cbrt (sin x))) (log1p (cbrt (sin x))) (log (cbrt (sin x))) (exp (cbrt (sin x))) (cbrt (* (cbrt (sin x)) (cbrt (sin x)))) (cbrt (cbrt (sin x))) (cbrt (sqrt (sin x))) (cbrt (sqrt (sin x))) (cbrt 1) (pow (sin x) 1/3) (* (cbrt (cbrt (sin x))) (cbrt (cbrt (sin x)))) (cbrt (cbrt (sin x))) (sin x) (sqrt (cbrt (sin x))) (sqrt (cbrt (sin x))) (expm1 (cbrt (sin x))) (log1p (cbrt (sin x))) (log (cbrt (sin x))) (exp (cbrt (sin x))) (cbrt (* (cbrt (sin x)) (cbrt (sin x)))) (cbrt (cbrt (sin x))) (cbrt (sqrt (sin x))) (cbrt (sqrt (sin x))) (cbrt 1) (pow (sin x) 1/3) (* (cbrt (cbrt (sin x))) (cbrt (cbrt (sin x)))) (cbrt (cbrt (sin x))) (sin x) (sqrt (cbrt (sin x))) (sqrt (cbrt (sin x))) (- (pow x 1/3) (+ (* 1/18 (pow (pow x 7) 1/3)) (* 1/3240 (pow (pow x 13) 1/3)))) (pow (sin x) 1/3) (pow (sin x) 1/3) (- (pow x 1/3) (+ (* 1/18 (pow (pow x 7) 1/3)) (* 1/3240 (pow (pow x 13) 1/3)))) (pow (sin x) 1/3) (pow (sin x) 1/3) (- (pow x 1/3) (+ (* 1/18 (pow (pow x 7) 1/3)) (* 1/3240 (pow (pow x 13) 1/3)))) (pow (sin x) 1/3) (pow (sin x) 1/3) (- (pow x 1/3) (+ (* 1/18 (pow (pow x 7) 1/3)) (* 1/3240 (pow (pow x 13) 1/3)))) (pow (sin x) 1/3) (pow (sin x) 1/3) 2.946 * * * [progress]: adding candidates to table 3.219 * [progress]: [Phase 3 of 3] Extracting. 3.219 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # # #) 3.224 * * * [regime-changes]: Trying 1 branch expressions: (x) 3.224 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # # # # # # #) 3.294 * * * [regime]: Found split indices: #