27.322 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.049 * * * [progress]: [2/2] Setting up program. 0.051 * [progress]: [Phase 2 of 3] Improving. 0.052 * [simplify]: Simplifying using # : (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x)) 0.054 * * [simplify]: iteration 0 : 20 enodes (cost 9 ) 0.056 * * [simplify]: iteration 1 : 43 enodes (cost 9 ) 0.058 * * [simplify]: iteration 2 : 93 enodes (cost 9 ) 0.060 * * [simplify]: iteration 3 : 174 enodes (cost 9 ) 0.063 * * [simplify]: iteration 4 : 269 enodes (cost 9 ) 0.066 * * [simplify]: iteration 5 : 288 enodes (cost 9 ) 0.070 * * [simplify]: iteration 6 : 288 enodes (cost 9 ) 0.070 * [simplify]: Simplified to: (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x)) 0.070 * * [progress]: iteration 1 / 4 0.070 * * * [progress]: picking best candidate 0.072 * * * * [pick]: Picked # 0.072 * * * [progress]: localizing error 0.087 * * * [progress]: generating rewritten candidates 0.087 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.106 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.116 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.139 * * * [progress]: generating series expansions 0.139 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.140 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in (x) around 0 0.140 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.140 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.140 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 0.140 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.140 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.140 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.140 * [taylor]: Taking taylor expansion of 0.5 in x 0.140 * [taylor]: Taking taylor expansion of x in x 0.143 * [taylor]: Taking taylor expansion of (sin x) in x 0.143 * [taylor]: Taking taylor expansion of x in x 0.144 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.144 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.144 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 0.144 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.144 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.144 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.144 * [taylor]: Taking taylor expansion of 0.5 in x 0.144 * [taylor]: Taking taylor expansion of x in x 0.147 * [taylor]: Taking taylor expansion of (sin x) in x 0.147 * [taylor]: Taking taylor expansion of x in x 0.186 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in (x) around 0 0.186 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 0.186 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.186 * [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 x in x 0.187 * [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 x in x 0.201 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in (x) around 0 0.201 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.201 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.201 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 0.201 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) 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 0.201 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.201 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.201 * [taylor]: Taking taylor expansion of -1 in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.202 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.202 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.202 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 0.202 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.202 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.202 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.202 * [taylor]: Taking taylor expansion of -0.5 in x 0.202 * [taylor]: Taking taylor expansion of x in x 0.202 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.202 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.202 * [taylor]: Taking taylor expansion of -1 in x 0.202 * [taylor]: Taking taylor expansion of x in x 0.215 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.215 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in (x) around 0 0.215 * [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 0.217 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.217 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.217 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.217 * [taylor]: Taking taylor expansion of 0.5 in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.237 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in (x) around 0 0.237 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 0.237 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.237 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.237 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.237 * [taylor]: Taking taylor expansion of 0.5 in x 0.237 * [taylor]: Taking taylor expansion of x in x 0.237 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 0.237 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.237 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.237 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.237 * [taylor]: Taking taylor expansion of 0.5 in x 0.237 * [taylor]: Taking taylor expansion of x in x 0.244 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in (x) around 0 0.244 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 0.244 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.244 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.244 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.244 * [taylor]: Taking taylor expansion of -0.5 in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.244 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 0.244 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.244 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.244 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.244 * [taylor]: Taking taylor expansion of -0.5 in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.255 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.255 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (* 0.5 x)) 2)) in (x) around 0 0.255 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (* 0.5 x)) 2)) in x 0.255 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.255 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.255 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.255 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.255 * [taylor]: Taking taylor expansion of 0.5 in x 0.255 * [taylor]: Taking taylor expansion of x in x 0.258 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (* 0.5 x)) 2)) in x 0.258 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.258 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.258 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.258 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.258 * [taylor]: Taking taylor expansion of 0.5 in x 0.258 * [taylor]: Taking taylor expansion of x in x 0.284 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ 0.5 x)) 2)) in (x) around 0 0.284 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ 0.5 x)) 2)) in x 0.284 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.284 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.284 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.284 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.284 * [taylor]: Taking taylor expansion of 0.5 in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.284 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ 0.5 x)) 2)) in x 0.284 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.284 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.284 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.284 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.284 * [taylor]: Taking taylor expansion of 0.5 in x 0.285 * [taylor]: Taking taylor expansion of x in x 0.295 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ -0.5 x)) 2)) in (x) around 0 0.296 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ -0.5 x)) 2)) in x 0.296 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.296 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.296 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.296 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.296 * [taylor]: Taking taylor expansion of -0.5 in x 0.296 * [taylor]: Taking taylor expansion of x in x 0.296 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ -0.5 x)) 2)) in x 0.296 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.296 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.296 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.296 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.296 * [taylor]: Taking taylor expansion of -0.5 in x 0.296 * [taylor]: Taking taylor expansion of x in x 0.306 * * * [progress]: simplifying candidates 0.309 * [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)) 0.315 * * [simplify]: iteration 0 : 412 enodes (cost 862 ) 0.325 * * [simplify]: iteration 1 : 2127 enodes (cost 656 ) 0.360 * * [simplify]: iteration 2 : 5001 enodes (cost 637 ) 0.363 * [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)) 0.363 * * * [progress]: adding candidates to table 0.565 * * [progress]: iteration 2 / 4 0.565 * * * [progress]: picking best candidate 0.592 * * * * [pick]: Picked # 0.592 * * * [progress]: localizing error 0.606 * * * [progress]: generating rewritten candidates 0.606 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.619 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.623 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.637 * * * [progress]: generating series expansions 0.638 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.638 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in (x) around 0 0.638 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 0.638 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.638 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.638 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.638 * [taylor]: Taking taylor expansion of 0.5 in x 0.638 * [taylor]: Taking taylor expansion of x in x 0.639 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 0.640 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.640 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.640 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.640 * [taylor]: Taking taylor expansion of 0.5 in x 0.640 * [taylor]: Taking taylor expansion of x in x 0.659 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in (x) around 0 0.659 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 0.659 * [taylor]: Taking taylor expansion of 2.6666666666666665 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 0.660 * [taylor]: Taking taylor expansion of 0.5 in x 0.660 * [taylor]: Taking taylor expansion of x in x 0.660 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 0.660 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.660 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.660 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.660 * [taylor]: Taking taylor expansion of 0.5 in x 0.660 * [taylor]: Taking taylor expansion of x in x 0.666 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in (x) around 0 0.666 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 0.666 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.666 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.666 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.666 * [taylor]: Taking taylor expansion of -0.5 in x 0.666 * [taylor]: Taking taylor expansion of x in x 0.667 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 0.667 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.667 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.667 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.667 * [taylor]: Taking taylor expansion of -0.5 in x 0.667 * [taylor]: Taking taylor expansion of x in x 0.672 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.672 * [approximate]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in (x) around 0 0.672 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 0.672 * [taylor]: Taking taylor expansion of (sin x) in x 0.672 * [taylor]: Taking taylor expansion of x in x 0.672 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.672 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.672 * [taylor]: Taking taylor expansion of 0.5 in x 0.672 * [taylor]: Taking taylor expansion of x in x 0.676 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 0.676 * [taylor]: Taking taylor expansion of (sin x) in x 0.676 * [taylor]: Taking taylor expansion of x in x 0.676 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.676 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.676 * [taylor]: Taking taylor expansion of 0.5 in x 0.676 * [taylor]: Taking taylor expansion of x in x 0.708 * [approximate]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in (x) around 0 0.708 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 0.708 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.709 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.709 * [taylor]: Taking taylor expansion of x in x 0.709 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.709 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.709 * [taylor]: Taking taylor expansion of 0.5 in x 0.709 * [taylor]: Taking taylor expansion of x in x 0.709 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 0.709 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.709 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.709 * [taylor]: Taking taylor expansion of x in x 0.710 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.710 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.710 * [taylor]: Taking taylor expansion of 0.5 in x 0.710 * [taylor]: Taking taylor expansion of x in x 0.712 * [approximate]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in (x) around 0 0.712 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 0.712 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.712 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.712 * [taylor]: Taking taylor expansion of -1 in x 0.712 * [taylor]: Taking taylor expansion of x in x 0.713 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.713 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.713 * [taylor]: Taking taylor expansion of -0.5 in x 0.713 * [taylor]: Taking taylor expansion of x in x 0.713 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 0.713 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.713 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.713 * [taylor]: Taking taylor expansion of -1 in x 0.713 * [taylor]: Taking taylor expansion of x in x 0.713 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.714 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.714 * [taylor]: Taking taylor expansion of -0.5 in x 0.714 * [taylor]: Taking taylor expansion of x in x 0.716 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.716 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in (x) around 0 0.716 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.716 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.716 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 0.716 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.716 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.716 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.716 * [taylor]: Taking taylor expansion of 0.5 in x 0.717 * [taylor]: Taking taylor expansion of x in x 0.719 * [taylor]: Taking taylor expansion of (sin x) in x 0.719 * [taylor]: Taking taylor expansion of x in x 0.720 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.720 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.720 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 0.720 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.720 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.720 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.720 * [taylor]: Taking taylor expansion of 0.5 in x 0.720 * [taylor]: Taking taylor expansion of x in x 0.723 * [taylor]: Taking taylor expansion of (sin x) in x 0.723 * [taylor]: Taking taylor expansion of x in x 0.757 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in (x) around 0 0.757 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 0.757 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.757 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 0.757 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.757 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.757 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.757 * [taylor]: Taking taylor expansion of 0.5 in x 0.757 * [taylor]: Taking taylor expansion of x in x 0.758 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.758 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.758 * [taylor]: Taking taylor expansion of x in x 0.758 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 0.758 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.758 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 0.758 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.758 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.758 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.758 * [taylor]: Taking taylor expansion of 0.5 in x 0.758 * [taylor]: Taking taylor expansion of x in x 0.759 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.759 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.759 * [taylor]: Taking taylor expansion of x in x 0.772 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in (x) around 0 0.772 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.772 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.772 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 0.772 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.772 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.772 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.772 * [taylor]: Taking taylor expansion of -0.5 in x 0.772 * [taylor]: Taking taylor expansion of x in x 0.772 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.773 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.773 * [taylor]: Taking taylor expansion of -1 in x 0.773 * [taylor]: Taking taylor expansion of x in x 0.773 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.773 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.773 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 0.773 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.773 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.773 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.773 * [taylor]: Taking taylor expansion of -0.5 in x 0.773 * [taylor]: Taking taylor expansion of x in x 0.773 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.774 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.774 * [taylor]: Taking taylor expansion of -1 in x 0.774 * [taylor]: Taking taylor expansion of x in x 0.792 * * * [progress]: simplifying candidates 0.795 * [simplify]: Simplifying using # : (expm1 (* (/ 8.0 3.0) (sin (* x 0.5)))) (log1p (* (/ 8.0 3.0) (sin (* x 0.5)))) (* (/ 8.0 3.0) (sin (* x 0.5))) (+ (- (log 8.0) (log 3.0)) (log (sin (* x 0.5)))) (+ (log (/ 8.0 3.0)) (log (sin (* x 0.5)))) (log (* (/ 8.0 3.0) (sin (* x 0.5)))) (exp (* (/ 8.0 3.0) (sin (* x 0.5)))) (* (/ (* (* 8.0 8.0) 8.0) (* (* 3.0 3.0) 3.0)) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* (* (/ 8.0 3.0) (/ 8.0 3.0)) (/ 8.0 3.0)) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (cbrt (* (/ 8.0 3.0) (sin (* x 0.5)))) (cbrt (* (/ 8.0 3.0) (sin (* x 0.5))))) (cbrt (* (/ 8.0 3.0) (sin (* x 0.5)))) (* (* (* (/ 8.0 3.0) (sin (* x 0.5))) (* (/ 8.0 3.0) (sin (* x 0.5)))) (* (/ 8.0 3.0) (sin (* x 0.5)))) (sqrt (* (/ 8.0 3.0) (sin (* x 0.5)))) (sqrt (* (/ 8.0 3.0) (sin (* x 0.5)))) (* (sqrt (/ 8.0 3.0)) (sqrt (sin (* x 0.5)))) (* (sqrt (/ 8.0 3.0)) (sqrt (sin (* x 0.5)))) (* (/ (sqrt 8.0) (sqrt 3.0)) (sqrt (sin (* x 0.5)))) (* (/ (sqrt 8.0) (sqrt 3.0)) (sqrt (sin (* x 0.5)))) (* (/ 8.0 3.0) (* (cbrt (sin (* x 0.5))) (cbrt (sin (* x 0.5))))) (* (/ 8.0 3.0) (sqrt (sin (* x 0.5)))) (* (/ 8.0 3.0) 1) (* (cbrt (/ 8.0 3.0)) (sin (* x 0.5))) (* (sqrt (/ 8.0 3.0)) (sin (* x 0.5))) (* (/ (cbrt 8.0) (cbrt 3.0)) (sin (* x 0.5))) (* (/ (cbrt 8.0) (sqrt 3.0)) (sin (* x 0.5))) (* (/ (cbrt 8.0) 3.0) (sin (* x 0.5))) (* (/ (sqrt 8.0) (cbrt 3.0)) (sin (* x 0.5))) (* (/ (sqrt 8.0) (sqrt 3.0)) (sin (* x 0.5))) (* (/ (sqrt 8.0) 3.0) (sin (* x 0.5))) (* (/ 8.0 (cbrt 3.0)) (sin (* x 0.5))) (* (/ 8.0 (sqrt 3.0)) (sin (* x 0.5))) (* (/ 8.0 3.0) (sin (* x 0.5))) (* (/ 8.0 3.0) (sin (* x 0.5))) (* (/ 1 3.0) (sin (* x 0.5))) (* 8.0 (sin (* x 0.5))) (expm1 (/ (sin x) (sin (* 0.5 x)))) (log1p (/ (sin x) (sin (* 0.5 x)))) (- (log (sin x)) (log (sin (* 0.5 x)))) (log (/ (sin x) (sin (* 0.5 x)))) (exp (/ (sin x) (sin (* 0.5 x)))) (/ (* (* (sin x) (sin x)) (sin x)) (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x)))) (* (cbrt (/ (sin x) (sin (* 0.5 x)))) (cbrt (/ (sin x) (sin (* 0.5 x))))) (cbrt (/ (sin x) (sin (* 0.5 x)))) (* (* (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 x)))) (sqrt (/ (sin x) (sin (* 0.5 x)))) (sqrt (/ (sin x) (sin (* 0.5 x)))) (- (sin x)) (- (sin (* 0.5 x))) (/ (* (cbrt (sin x)) (cbrt 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(/ (/ 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))) 0.803 * * [simplify]: iteration 0 : 550 enodes (cost 1204 ) 0.814 * * [simplify]: iteration 1 : 2727 enodes (cost 1016 ) 0.854 * * [simplify]: iteration 2 : 5001 enodes (cost 992 ) 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(sin (* 0.5 x))))) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))))) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (sin (* 0.5 x))))) (/ (/ 8.0 3.0) (/ (* (cbrt (sin x)) (cbrt (sin x))) (sin (* x 0.5)))) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sqrt (sin x)) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))))) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x))))) (/ (/ 8.0 3.0) (/ (sqrt (sin x)) (sin (* x 0.5)))) (* (* (/ 8.0 3.0) (sin (* x 0.5))) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sqrt (sin (* 0.5 x)))) (* (/ 8.0 3.0) (sin (* x 0.5))) (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (sin x)) (/ (sin x) (pow (sin (* 0.5 x)) 2)) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (sin x)) (* (/ (sin x) (sin (* 0.5 x))) 3.0) (fma x 1.3333333333333333 (- (* 0.0006944444444444444 (pow x 5)) (* 0.05555555555555555 (pow x 3)))) (* 2.6666666666666665 (sin (* 0.5 x))) (* 2.6666666666666665 (sin (* 0.5 x))) (fma (pow x 4) 0.005208333333333334 (- 2.0 (* 0.25 (pow x 2)))) (/ (sin x) (sin (* x 0.5))) (/ (sin x) (sin (* x 0.5))) (fma 0.05555555555555555 (pow x 3) (fma 0.005555555555555554 (pow x 5) (* 0.6666666666666666 x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) 0.860 * * * [progress]: adding candidates to table 1.179 * * [progress]: iteration 3 / 4 1.179 * * * [progress]: picking best candidate 1.212 * * * * [pick]: Picked # 1.212 * * * [progress]: localizing error 1.243 * * * [progress]: generating rewritten candidates 1.243 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 1.252 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 1.255 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 1.268 * * * [progress]: generating series expansions 1.268 * * * * [progress]: [ 1 / 3 ] generating series at (2) 1.268 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in (x) around 0 1.268 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 1.268 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.268 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 1.268 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) 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 1.271 * [taylor]: Taking taylor expansion of (sin x) in x 1.271 * [taylor]: Taking taylor expansion of x in x 1.272 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 1.272 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.272 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 1.272 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 1.272 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.272 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.273 * [taylor]: Taking taylor expansion of 0.5 in x 1.273 * [taylor]: Taking taylor expansion of x in x 1.275 * [taylor]: Taking taylor expansion of (sin x) in x 1.275 * [taylor]: Taking taylor expansion of x in x 1.310 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in (x) around 0 1.310 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 1.310 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.310 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 1.310 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 1.310 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.310 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.310 * [taylor]: Taking taylor expansion of 0.5 in x 1.310 * [taylor]: Taking taylor expansion of x in x 1.310 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.310 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.310 * [taylor]: Taking taylor expansion of x in x 1.311 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 1.311 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.311 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 1.311 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 1.311 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.311 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.311 * [taylor]: Taking taylor expansion of 0.5 in x 1.311 * [taylor]: Taking taylor expansion of x in x 1.311 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.311 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.311 * [taylor]: Taking taylor expansion of x in x 1.331 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in (x) around 0 1.331 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 1.331 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.331 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 1.331 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 1.331 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.331 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.332 * [taylor]: Taking taylor expansion of -0.5 in x 1.332 * [taylor]: Taking taylor expansion of x in x 1.332 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.332 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.332 * [taylor]: Taking taylor expansion of -1 in x 1.332 * [taylor]: Taking taylor expansion of x in x 1.332 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 1.332 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.332 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 1.332 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 1.333 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.333 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.333 * [taylor]: Taking taylor expansion of -0.5 in x 1.333 * [taylor]: Taking taylor expansion of x in x 1.333 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.333 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.333 * [taylor]: Taking taylor expansion of -1 in x 1.333 * [taylor]: Taking taylor expansion of x in x 1.346 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 1.346 * [approximate]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in (x) around 0 1.346 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 1.346 * [taylor]: Taking taylor expansion of (sin x) in x 1.346 * [taylor]: Taking taylor expansion of x in x 1.346 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.346 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.346 * [taylor]: Taking taylor expansion of 0.5 in x 1.346 * [taylor]: Taking taylor expansion of x in x 1.349 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 1.349 * [taylor]: Taking taylor expansion of (sin x) in x 1.349 * [taylor]: Taking taylor expansion of x in x 1.349 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.349 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.349 * [taylor]: Taking taylor expansion of 0.5 in x 1.349 * [taylor]: Taking taylor expansion of x in x 1.376 * [approximate]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in (x) around 0 1.376 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 1.376 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.376 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.376 * [taylor]: Taking taylor expansion of x in x 1.377 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.377 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.377 * [taylor]: Taking taylor expansion of 0.5 in x 1.377 * [taylor]: Taking taylor expansion of x in x 1.377 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 1.377 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.377 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.377 * [taylor]: Taking taylor expansion of x in x 1.377 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.377 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.377 * [taylor]: Taking taylor expansion of 0.5 in x 1.377 * [taylor]: Taking taylor expansion of x in x 1.380 * [approximate]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in (x) around 0 1.380 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 1.380 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.380 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.380 * [taylor]: Taking taylor expansion of -1 in x 1.380 * [taylor]: Taking taylor expansion of x in x 1.380 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.380 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.380 * [taylor]: Taking taylor expansion of -0.5 in x 1.380 * [taylor]: Taking taylor expansion of x in x 1.381 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 1.381 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.381 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.381 * [taylor]: Taking taylor expansion of -1 in x 1.381 * [taylor]: Taking taylor expansion of x in x 1.381 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.381 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.381 * [taylor]: Taking taylor expansion of -0.5 in x 1.381 * [taylor]: Taking taylor expansion of x in x 1.383 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 1.383 * [approximate]: Taking taylor expansion of (* 3.0 (/ (sin x) (sin (* 0.5 x)))) in (x) around 0 1.383 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sin x) (sin (* 0.5 x)))) in x 1.383 * [taylor]: Taking taylor expansion of 3.0 in x 1.383 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 1.383 * [taylor]: Taking taylor expansion of (sin x) in x 1.383 * [taylor]: Taking taylor expansion of x in x 1.383 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.384 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.384 * [taylor]: Taking taylor expansion of 0.5 in x 1.384 * [taylor]: Taking taylor expansion of x in x 1.387 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sin x) (sin (* 0.5 x)))) in x 1.387 * [taylor]: Taking taylor expansion of 3.0 in x 1.387 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 1.387 * [taylor]: Taking taylor expansion of (sin x) in x 1.387 * [taylor]: Taking taylor expansion of x in x 1.387 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.387 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.387 * [taylor]: Taking taylor expansion of 0.5 in x 1.387 * [taylor]: Taking taylor expansion of x in x 1.424 * [approximate]: Taking taylor expansion of (* 3.0 (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) in (x) around 0 1.424 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) in x 1.424 * [taylor]: Taking taylor expansion of 3.0 in x 1.424 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 1.424 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.424 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.424 * [taylor]: Taking taylor expansion of x in x 1.425 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.425 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.425 * [taylor]: Taking taylor expansion of 0.5 in x 1.425 * [taylor]: Taking taylor expansion of x in x 1.425 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) in x 1.425 * [taylor]: Taking taylor expansion of 3.0 in x 1.425 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 1.425 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.425 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.425 * [taylor]: Taking taylor expansion of x in x 1.426 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.426 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.426 * [taylor]: Taking taylor expansion of 0.5 in x 1.426 * [taylor]: Taking taylor expansion of x in x 1.433 * [approximate]: Taking taylor expansion of (* 3.0 (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) in (x) around 0 1.433 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) in x 1.433 * [taylor]: Taking taylor expansion of 3.0 in x 1.433 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 1.433 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.433 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.434 * [taylor]: Taking taylor expansion of -1 in x 1.434 * [taylor]: Taking taylor expansion of x in x 1.434 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.434 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.434 * [taylor]: Taking taylor expansion of -0.5 in x 1.434 * [taylor]: Taking taylor expansion of x in x 1.434 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) in x 1.434 * [taylor]: Taking taylor expansion of 3.0 in x 1.434 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 1.434 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.434 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.434 * [taylor]: Taking taylor expansion of -1 in x 1.434 * [taylor]: Taking taylor expansion of x in x 1.435 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.435 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.435 * [taylor]: Taking taylor expansion of -0.5 in x 1.435 * [taylor]: Taking taylor expansion of x in x 1.443 * * * [progress]: simplifying candidates 1.445 * [simplify]: Simplifying using # : (expm1 (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (log1p (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (- (+ (log 8.0) (log (sin (* x 0.5)))) (+ (- (log (sin x)) (log (sin (* 0.5 x)))) (log 3.0))) (- (+ (log 8.0) (log (sin (* x 0.5)))) (+ (log (/ (sin x) (sin (* 0.5 x)))) (log 3.0))) (- (+ (log 8.0) (log (sin (* x 0.5)))) (log (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (- (log (* 8.0 (sin (* x 0.5)))) (+ (- (log (sin x)) (log (sin (* 0.5 x)))) (log 3.0))) (- (log (* 8.0 (sin (* x 0.5)))) (+ (log (/ (sin x) (sin (* 0.5 x)))) (log 3.0))) (- (log (* 8.0 (sin (* x 0.5)))) (log (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (log (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (exp (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (/ (* (* (* 8.0 8.0) 8.0) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (/ (* (* (sin x) (sin x)) (sin x)) (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x)))) (* (* 3.0 3.0) 3.0))) (/ (* (* (* 8.0 8.0) 8.0) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* (* (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 x)))) (* (* 3.0 3.0) 3.0))) (/ (* (* (* 8.0 8.0) 8.0) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* (* (/ (sin x) (sin (* 0.5 x))) 3.0) (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (/ (* (* (* 8.0 (sin (* x 0.5))) (* 8.0 (sin (* x 0.5)))) (* 8.0 (sin (* x 0.5)))) (* (/ (* (* (sin x) (sin x)) (sin x)) (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x)))) (* (* 3.0 3.0) 3.0))) (/ (* (* (* 8.0 (sin (* x 0.5))) (* 8.0 (sin (* x 0.5)))) (* 8.0 (sin (* x 0.5)))) (* (* (* (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 x)))) (* (* 3.0 3.0) 3.0))) (/ (* (* (* 8.0 (sin (* x 0.5))) (* 8.0 (sin (* x 0.5)))) (* 8.0 (sin (* x 0.5)))) (* (* (* (/ (sin x) (sin (* 0.5 x))) 3.0) (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (* (cbrt (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (cbrt (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0)))) (cbrt (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (* (* (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (sqrt (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (sqrt (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (- (* 8.0 (sin (* x 0.5)))) (- (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (/ 8.0 (/ (sin x) (sin (* 0.5 x)))) (/ (sin (* x 0.5)) 3.0) (/ 1 (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (/ (* (/ (sin x) (sin (* 0.5 x))) 3.0) (* 8.0 (sin (* x 0.5)))) (/ (* 8.0 (sin (* x 0.5))) (/ (sin x) (sin (* 0.5 x)))) (/ (* (/ (sin x) (sin (* 0.5 x))) 3.0) (sin (* x 0.5))) (/ (* 8.0 (sin (* x 0.5))) (* (sin x) 3.0)) (expm1 (/ (sin x) (sin (* 0.5 x)))) (log1p (/ (sin x) (sin (* 0.5 x)))) (- (log (sin x)) (log (sin (* 0.5 x)))) (log (/ (sin x) (sin (* 0.5 x)))) (exp (/ (sin x) (sin (* 0.5 x)))) (/ (* (* (sin x) (sin x)) (sin x)) (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x)))) (* (cbrt (/ (sin x) (sin (* 0.5 x)))) (cbrt (/ (sin x) (sin (* 0.5 x))))) (cbrt (/ (sin x) (sin (* 0.5 x)))) (* (* (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 x)))) (sqrt (/ (sin x) (sin (* 0.5 x)))) (sqrt (/ (sin x) (sin (* 0.5 x)))) (- (sin x)) (- (sin (* 0.5 x))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (cbrt (sin x)) (cbrt (sin (* 0.5 x)))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (sin (* 0.5 x)))) (/ (cbrt (sin x)) (sqrt (sin (* 0.5 x)))) (/ (* (cbrt (sin x)) (cbrt (sin x))) 1) (/ (cbrt (sin x)) (sin (* 0.5 x))) (/ (sqrt (sin x)) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (sqrt (sin x)) (cbrt (sin (* 0.5 x)))) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (/ (sqrt (sin x)) 1) (/ (sqrt (sin x)) (sin (* 0.5 x))) (/ 1 (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (sin x) (cbrt (sin (* 0.5 x)))) (/ 1 (sqrt (sin (* 0.5 x)))) (/ (sin x) (sqrt (sin (* 0.5 x)))) (/ 1 1) (/ (sin x) (sin (* 0.5 x))) (/ 1 (sin (* 0.5 x))) (/ (sin (* 0.5 x)) (sin x)) (/ (sin x) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (sin x) (sqrt (sin (* 0.5 x)))) (/ (sin x) 1) (/ (sin (* 0.5 x)) (cbrt (sin x))) (/ (sin (* 0.5 x)) (sqrt (sin x))) (/ (sin (* 0.5 x)) (sin x)) (expm1 (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (log1p (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (* (/ (sin x) (sin (* 0.5 x))) 3.0) (+ (- (log (sin x)) (log (sin (* 0.5 x)))) (log 3.0)) (+ (log (/ (sin x) (sin (* 0.5 x)))) (log 3.0)) (log (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (exp (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (* (/ (* (* (sin x) (sin x)) (sin x)) (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x)))) (* (* 3.0 3.0) 3.0)) (* (* (* (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 x)))) (* (* 3.0 3.0) 3.0)) (* (cbrt (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (cbrt (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (cbrt (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (* (* (* (/ (sin x) (sin (* 0.5 x))) 3.0) (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (sqrt (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (sqrt (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (* (sqrt (/ (sin x) (sin (* 0.5 x)))) (sqrt 3.0)) (* (sqrt (/ (sin x) (sin (* 0.5 x)))) (sqrt 3.0)) (* (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (sqrt 3.0)) (* (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (sqrt 3.0)) (* (/ (sin x) (sin (* 0.5 x))) (* (cbrt 3.0) (cbrt 3.0))) (* (/ (sin x) (sin (* 0.5 x))) (sqrt 3.0)) (* (/ (sin x) (sin (* 0.5 x))) 1) (* (cbrt (/ (sin x) (sin (* 0.5 x)))) 3.0) (* (sqrt (/ (sin x) (sin (* 0.5 x)))) 3.0) (* (/ (cbrt (sin x)) (cbrt (sin (* 0.5 x)))) 3.0) (* (/ (cbrt (sin x)) (sqrt (sin (* 0.5 x)))) 3.0) (* (/ (cbrt (sin x)) (sin (* 0.5 x))) 3.0) (* (/ (sqrt (sin x)) (cbrt (sin (* 0.5 x)))) 3.0) (* (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) 3.0) (* (/ (sqrt (sin x)) (sin (* 0.5 x))) 3.0) (* (/ (sin x) (cbrt (sin (* 0.5 x)))) 3.0) (* (/ (sin x) (sqrt (sin (* 0.5 x)))) 3.0) (* (/ (sin x) (sin (* 0.5 x))) 3.0) (* (/ (sin x) (sin (* 0.5 x))) 3.0) (* (/ 1 (sin (* 0.5 x))) 3.0) (* (sin x) 3.0) (+ (* 0.05555555555555555 (pow x 3)) (+ (* 0.005555555555555554 (pow x 5)) (* 0.6666666666666666 x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (- (+ (* 0.005208333333333334 (pow x 4)) 2.0) (* 0.25 (pow x 2))) (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x))) (- (+ (* 0.015625 (pow x 4)) 6.0) (* 0.75 (pow x 2))) (* 3.0 (/ (sin x) (sin (* 0.5 x)))) (* 3.0 (/ (sin x) (sin (* 0.5 x)))) 1.452 * * [simplify]: iteration 0 : 433 enodes (cost 924 ) 1.461 * * [simplify]: iteration 1 : 2247 enodes (cost 743 ) 1.495 * * [simplify]: iteration 2 : 5001 enodes (cost 724 ) 1.499 * [simplify]: Simplified to: (expm1 (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (log1p (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (+ (log (/ (pow (sin (* 0.5 x)) 2) (sin x))) (log (/ 8.0 3.0))) (+ (log (/ (pow (sin (* 0.5 x)) 2) (sin x))) (log (/ 8.0 3.0))) (+ (log (/ (pow (sin (* 0.5 x)) 2) (sin x))) (log (/ 8.0 3.0))) (+ (log (/ (pow (sin (* 0.5 x)) 2) (sin x))) (log (/ 8.0 3.0))) (+ (log (/ (pow (sin (* 0.5 x)) 2) (sin x))) (log (/ 8.0 3.0))) (+ (log (/ (pow (sin (* 0.5 x)) 2) (sin x))) (log (/ 8.0 3.0))) (+ (log (/ (pow (sin (* 0.5 x)) 2) (sin x))) (log (/ 8.0 3.0))) (pow (exp (/ (pow (sin (* 0.5 x)) 2) (sin x))) (/ 8.0 3.0)) (* (pow (/ (pow (sin (* 0.5 x)) 2) (sin x)) 3) (pow (/ 8.0 3.0) 3)) (* (pow (/ (pow (sin (* 0.5 x)) 2) (sin x)) 3) (pow (/ 8.0 3.0) 3)) (* (pow (/ (pow (sin (* 0.5 x)) 2) (sin x)) 3) (pow (/ 8.0 3.0) 3)) (* (pow (/ (pow (sin (* 0.5 x)) 2) (sin x)) 3) (pow (/ 8.0 3.0) 3)) (* (pow (/ (pow (sin (* 0.5 x)) 2) (sin x)) 3) (pow (/ 8.0 3.0) 3)) (* (pow (/ (pow (sin (* 0.5 x)) 2) (sin x)) 3) (pow (/ 8.0 3.0) 3)) (* (cbrt (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (cbrt (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0)))) (cbrt (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (* (pow (/ (pow (sin (* 0.5 x)) 2) (sin x)) 3) (pow (/ 8.0 3.0) 3)) (sqrt (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (sqrt (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (- (* 8.0 (sin (* x 0.5)))) (- (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (/ 8.0 (/ (sin x) (sin (* 0.5 x)))) (/ (sin (* 0.5 x)) 3.0) (/ 1 (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (* (/ 3.0 8.0) (/ (sin x) (pow (sin (* 0.5 x)) 2))) (* (/ (pow (sin (* 0.5 x)) 2) (sin x)) (/ 8.0 1)) (/ (* (sin x) 3.0) (pow (sin (* 0.5 x)) 2)) (/ (* 8.0 (sin (* x 0.5))) (* (sin x) 3.0)) (expm1 (/ (sin x) (sin (* 0.5 x)))) (log1p (/ (sin x) (sin (* 0.5 x)))) (log (/ (sin x) (sin (* 0.5 x)))) (log (/ (sin x) (sin (* 0.5 x)))) (exp (/ (sin x) (sin (* 0.5 x)))) (pow (/ (sin x) (sin (* 0.5 x))) 3) (* (cbrt (/ (sin x) (sin (* 0.5 x)))) (cbrt (/ (sin x) (sin (* 0.5 x))))) (cbrt (/ (sin x) (sin (* 0.5 x)))) (pow (/ (sin x) (sin (* 0.5 x))) 3) (sqrt (/ (sin x) (sin (* 0.5 x)))) (sqrt (/ (sin x) (sin (* 0.5 x)))) (- (sin x)) (- (sin (* x 0.5))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (cbrt (sin x)) (cbrt (sin (* 0.5 x)))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (sin (* 0.5 x)))) (/ (cbrt (sin x)) (sqrt (sin (* 0.5 x)))) (* (cbrt (sin x)) (cbrt (sin x))) (/ (cbrt (sin x)) (sin (* 0.5 x))) (/ (sqrt (sin x)) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (sqrt (sin x)) (cbrt (sin (* 0.5 x)))) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (sqrt (sin x)) (/ (sqrt (sin x)) (sin (* 0.5 x))) (/ 1 (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (sin x) (cbrt (sin (* 0.5 x)))) (/ 1 (sqrt (sin (* 0.5 x)))) (/ (sin x) (sqrt (sin (* 0.5 x)))) 1 (/ (sin x) (sin (* 0.5 x))) (/ 1 (sin (* 0.5 x))) (/ (sin (* 0.5 x)) (sin x)) (/ (sin x) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (sin x) (sqrt (sin (* 0.5 x)))) (sin x) (/ (sin (* 0.5 x)) (cbrt (sin x))) (/ (sin (* 0.5 x)) (sqrt (sin x))) (/ (sin (* 0.5 x)) (sin x)) (expm1 (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (log1p (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (* (/ (sin x) (sin (* 0.5 x))) 3.0) (log (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (log (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (log (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (exp (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (pow (* (/ (sin x) (sin (* 0.5 x))) 3.0) 3) (pow (* (/ (sin x) (sin (* 0.5 x))) 3.0) 3) (* (cbrt (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (cbrt (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (cbrt (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (pow (* (/ (sin x) (sin (* 0.5 x))) 3.0) 3) (sqrt (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (sqrt (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (* (sqrt (/ (sin x) (sin (* 0.5 x)))) (sqrt 3.0)) (* (sqrt (/ (sin x) (sin (* 0.5 x)))) (sqrt 3.0)) (* (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (sqrt 3.0)) (* (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (sqrt 3.0)) (* (/ (sin x) (sin (* 0.5 x))) (* (cbrt 3.0) (cbrt 3.0))) (* (/ (sin x) (sin (* 0.5 x))) (sqrt 3.0)) (/ (sin x) (sin (* 0.5 x))) (* (cbrt (/ (sin x) (sin (* 0.5 x)))) 3.0) (* (sqrt (/ (sin x) (sin (* 0.5 x)))) 3.0) (* (/ (cbrt (sin x)) (cbrt (sin (* 0.5 x)))) 3.0) (* (/ (cbrt (sin x)) (sqrt (sin (* 0.5 x)))) 3.0) (* (/ (cbrt (sin x)) (sin (* 0.5 x))) 3.0) (* (/ (sqrt (sin x)) (cbrt (sin (* 0.5 x)))) 3.0) (* (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) 3.0) (* (/ (sqrt (sin x)) (sin (* 0.5 x))) 3.0) (* (/ (sin x) (cbrt (sin (* 0.5 x)))) 3.0) (* (/ (sin x) (sqrt (sin (* 0.5 x)))) 3.0) (* (/ (sin x) (sin (* 0.5 x))) 3.0) (* (/ (sin x) (sin (* 0.5 x))) 3.0) (/ 3.0 (sin (* x 0.5))) (* (sin x) 3.0) (fma 0.05555555555555555 (pow x 3) (fma 0.005555555555555554 (pow x 5) (* 0.6666666666666666 x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (fma (pow x 4) 0.005208333333333334 (- 2.0 (* 0.25 (pow x 2)))) (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x))) (fma (pow x 4) 0.015625 (- 6.0 (* 0.75 (pow x 2)))) (* (/ (sin x) (sin (* 0.5 x))) 3.0) (* (/ (sin x) (sin (* 0.5 x))) 3.0) 1.499 * * * [progress]: adding candidates to table 1.733 * * [progress]: iteration 4 / 4 1.733 * * * [progress]: picking best candidate 1.750 * * * * [pick]: Picked # 1.751 * * * [progress]: localizing error 1.772 * * * [progress]: generating rewritten candidates 1.772 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.782 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 1.789 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 1.795 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 1.802 * * * [progress]: generating series expansions 1.802 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.803 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in (x) around 0 1.803 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 1.803 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.803 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.803 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.803 * [taylor]: Taking taylor expansion of 0.5 in x 1.803 * [taylor]: Taking taylor expansion of x in x 1.804 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 1.804 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.804 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.804 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.804 * [taylor]: Taking taylor expansion of 0.5 in x 1.804 * [taylor]: Taking taylor expansion of x in x 1.825 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in (x) around 0 1.825 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 1.825 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.825 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.825 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.825 * [taylor]: Taking taylor expansion of 0.5 in x 1.825 * [taylor]: Taking taylor expansion of x in x 1.826 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 1.826 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.826 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.826 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.826 * [taylor]: Taking taylor expansion of 0.5 in x 1.826 * [taylor]: Taking taylor expansion of x in x 1.832 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in (x) around 0 1.832 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 1.832 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.832 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.832 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.832 * [taylor]: Taking taylor expansion of -0.5 in x 1.832 * [taylor]: Taking taylor expansion of x in x 1.832 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 1.832 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.832 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.832 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.832 * [taylor]: Taking taylor expansion of -0.5 in x 1.832 * [taylor]: Taking taylor expansion of x in x 1.838 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 1.838 * [approximate]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in (x) around 0 1.838 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 1.838 * [taylor]: Taking taylor expansion of (sin x) in x 1.838 * [taylor]: Taking taylor expansion of x in x 1.838 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.838 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.838 * [taylor]: Taking taylor expansion of 0.5 in x 1.838 * [taylor]: Taking taylor expansion of x in x 1.847 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 1.848 * [taylor]: Taking taylor expansion of (sin x) 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 1.875 * [approximate]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in (x) around 0 1.875 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 1.875 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.875 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.875 * [taylor]: Taking taylor expansion of x in x 1.876 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.876 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.876 * [taylor]: Taking taylor expansion of 0.5 in x 1.876 * [taylor]: Taking taylor expansion of x in x 1.876 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 1.876 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.876 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.876 * [taylor]: Taking taylor expansion of x in x 1.876 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.876 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.876 * [taylor]: Taking taylor expansion of 0.5 in x 1.876 * [taylor]: Taking taylor expansion of x in x 1.879 * [approximate]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in (x) around 0 1.879 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 1.879 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.879 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.879 * [taylor]: Taking taylor expansion of -1 in x 1.879 * [taylor]: Taking taylor expansion of x in x 1.879 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.879 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.879 * [taylor]: Taking taylor expansion of -0.5 in x 1.879 * [taylor]: Taking taylor expansion of x in x 1.880 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 1.880 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.880 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.880 * [taylor]: Taking taylor expansion of -1 in x 1.880 * [taylor]: Taking taylor expansion of x in x 1.880 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.880 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.880 * [taylor]: Taking taylor expansion of -0.5 in x 1.880 * [taylor]: Taking taylor expansion of x in x 1.882 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 1.882 * [approximate]: Taking taylor expansion of (exp (/ (sin x) (sin (* 0.5 x)))) in (x) around 0 1.883 * [taylor]: Taking taylor expansion of (exp (/ (sin x) (sin (* 0.5 x)))) in x 1.883 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 1.883 * [taylor]: Taking taylor expansion of (sin x) in x 1.883 * [taylor]: Taking taylor expansion of x in x 1.883 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.883 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.883 * [taylor]: Taking taylor expansion of 0.5 in x 1.883 * [taylor]: Taking taylor expansion of x in x 1.886 * [taylor]: Taking taylor expansion of (exp (/ (sin x) (sin (* 0.5 x)))) in x 1.886 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 1.886 * [taylor]: Taking taylor expansion of (sin x) in x 1.886 * [taylor]: Taking taylor expansion of x in x 1.886 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.886 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.886 * [taylor]: Taking taylor expansion of 0.5 in x 1.886 * [taylor]: Taking taylor expansion of x in x 1.935 * [approximate]: Taking taylor expansion of (exp (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) in (x) around 0 1.935 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) in x 1.935 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 1.935 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.935 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.935 * [taylor]: Taking taylor expansion of x in x 1.936 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.936 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.936 * [taylor]: Taking taylor expansion of 0.5 in x 1.936 * [taylor]: Taking taylor expansion of x in x 1.936 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) in x 1.936 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 1.936 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.936 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.936 * [taylor]: Taking taylor expansion of x in x 1.937 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.937 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.937 * [taylor]: Taking taylor expansion of 0.5 in x 1.937 * [taylor]: Taking taylor expansion of x in x 1.947 * [approximate]: Taking taylor expansion of (exp (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) in (x) around 0 1.947 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) in x 1.947 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 1.947 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.947 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.947 * [taylor]: Taking taylor expansion of -1 in x 1.947 * [taylor]: Taking taylor expansion of x in x 1.948 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.948 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.948 * [taylor]: Taking taylor expansion of -0.5 in x 1.948 * [taylor]: Taking taylor expansion of x in x 1.948 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) in x 1.948 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 1.948 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.948 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.948 * [taylor]: Taking taylor expansion of -1 in x 1.948 * [taylor]: Taking taylor expansion of x in x 1.949 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.949 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.949 * [taylor]: Taking taylor expansion of -0.5 in x 1.949 * [taylor]: Taking taylor expansion of x in x 1.959 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 1.959 * [approximate]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in (x) around 0 1.959 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 1.960 * [taylor]: Taking taylor expansion of (sin x) in x 1.960 * [taylor]: Taking taylor expansion of x in x 1.960 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.960 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.960 * [taylor]: Taking taylor expansion of 0.5 in x 1.960 * [taylor]: Taking taylor expansion of x in x 1.963 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 1.963 * [taylor]: Taking taylor expansion of (sin x) in x 1.963 * [taylor]: Taking taylor expansion of x in x 1.963 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.963 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.963 * [taylor]: Taking taylor expansion of 0.5 in x 1.963 * [taylor]: Taking taylor expansion of x in x 1.989 * [approximate]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in (x) around 0 1.990 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 1.990 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.990 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.990 * [taylor]: Taking taylor expansion of x in x 1.990 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.990 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.990 * [taylor]: Taking taylor expansion of 0.5 in x 1.990 * [taylor]: Taking taylor expansion of x in x 1.990 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 1.990 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.990 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.990 * [taylor]: Taking taylor expansion of x in x 1.991 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.991 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.991 * [taylor]: Taking taylor expansion of 0.5 in x 1.991 * [taylor]: Taking taylor expansion of x in x 1.993 * [approximate]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in (x) around 0 1.993 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 1.993 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.993 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.993 * [taylor]: Taking taylor expansion of -1 in x 1.993 * [taylor]: Taking taylor expansion of x in x 1.993 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.993 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.993 * [taylor]: Taking taylor expansion of -0.5 in x 1.993 * [taylor]: Taking taylor expansion of x in x 1.994 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 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 1.994 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.994 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.994 * [taylor]: Taking taylor expansion of -0.5 in x 1.994 * [taylor]: Taking taylor expansion of x in x 1.997 * * * [progress]: simplifying candidates 1.999 * [simplify]: Simplifying using # : (expm1 (* (/ 8.0 3.0) (sin (* x 0.5)))) (log1p (* (/ 8.0 3.0) (sin (* x 0.5)))) (* (/ 8.0 3.0) (sin (* x 0.5))) (+ (- (log 8.0) (log 3.0)) (log (sin (* x 0.5)))) (+ (log (/ 8.0 3.0)) (log (sin (* x 0.5)))) (log (* (/ 8.0 3.0) (sin (* x 0.5)))) (exp (* (/ 8.0 3.0) (sin (* x 0.5)))) (* (/ (* (* 8.0 8.0) 8.0) (* (* 3.0 3.0) 3.0)) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* (* (/ 8.0 3.0) (/ 8.0 3.0)) (/ 8.0 3.0)) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (cbrt (* (/ 8.0 3.0) (sin (* x 0.5)))) (cbrt (* (/ 8.0 3.0) (sin (* x 0.5))))) (cbrt (* (/ 8.0 3.0) (sin (* x 0.5)))) (* (* (* (/ 8.0 3.0) (sin (* x 0.5))) (* (/ 8.0 3.0) (sin (* x 0.5)))) (* (/ 8.0 3.0) (sin (* x 0.5)))) (sqrt (* (/ 8.0 3.0) (sin (* x 0.5)))) (sqrt (* (/ 8.0 3.0) (sin (* x 0.5)))) (* (sqrt (/ 8.0 3.0)) (sqrt (sin (* x 0.5)))) (* (sqrt (/ 8.0 3.0)) (sqrt (sin (* x 0.5)))) (* (/ (sqrt 8.0) (sqrt 3.0)) (sqrt (sin (* x 0.5)))) (* (/ (sqrt 8.0) (sqrt 3.0)) (sqrt (sin (* x 0.5)))) (* (/ 8.0 3.0) (* (cbrt (sin (* x 0.5))) (cbrt (sin (* x 0.5))))) (* (/ 8.0 3.0) (sqrt (sin (* x 0.5)))) (* (/ 8.0 3.0) 1) (* (cbrt (/ 8.0 3.0)) (sin (* x 0.5))) (* (sqrt (/ 8.0 3.0)) (sin (* x 0.5))) (* (/ (cbrt 8.0) (cbrt 3.0)) (sin (* x 0.5))) (* (/ (cbrt 8.0) (sqrt 3.0)) (sin (* x 0.5))) (* (/ (cbrt 8.0) 3.0) (sin (* x 0.5))) (* (/ (sqrt 8.0) (cbrt 3.0)) (sin (* x 0.5))) (* (/ (sqrt 8.0) (sqrt 3.0)) (sin (* x 0.5))) (* (/ (sqrt 8.0) 3.0) (sin (* x 0.5))) (* (/ 8.0 (cbrt 3.0)) (sin (* x 0.5))) (* (/ 8.0 (sqrt 3.0)) (sin (* x 0.5))) (* (/ 8.0 3.0) (sin (* x 0.5))) (* (/ 8.0 3.0) (sin (* x 0.5))) (* (/ 1 3.0) (sin (* x 0.5))) (* 8.0 (sin (* x 0.5))) (expm1 (log (exp (/ (sin x) (sin (* 0.5 x)))))) (log1p (log (exp (/ (sin x) (sin (* 0.5 x)))))) (log (* (cbrt (exp (/ (sin x) (sin (* 0.5 x))))) (cbrt (exp (/ (sin x) (sin (* 0.5 x))))))) (log (cbrt (exp (/ (sin x) (sin (* 0.5 x)))))) (log (sqrt (exp (/ (sin x) (sin (* 0.5 x)))))) (log (sqrt (exp (/ (sin x) (sin (* 0.5 x)))))) (log 1) (log (exp (/ (sin x) (sin (* 0.5 x))))) (log (exp (/ (sin x) (sin (* 0.5 x))))) (log (exp (* (cbrt (/ (sin x) (sin (* 0.5 x)))) (cbrt (/ (sin x) (sin (* 0.5 x))))))) (log (exp (sqrt (/ (sin x) (sin (* 0.5 x)))))) (log (exp (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))))) (log (exp (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (sin (* 0.5 x)))))) (log (exp (/ (* (cbrt (sin x)) (cbrt (sin x))) 1))) (log (exp (/ (sqrt (sin x)) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))))) (log (exp (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))))) (log (exp (/ (sqrt (sin x)) 1))) (log (exp (/ 1 (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))))) (log (exp (/ 1 (sqrt (sin (* 0.5 x)))))) (log (exp (/ 1 1))) (log (exp 1)) (log (exp (sin x))) (log (log (exp (/ (sin x) (sin (* 0.5 x)))))) (exp (log (exp (/ (sin x) (sin (* 0.5 x)))))) (* (cbrt (log (exp (/ (sin x) (sin (* 0.5 x)))))) (cbrt (log (exp (/ (sin x) (sin (* 0.5 x))))))) (cbrt (log (exp (/ (sin x) (sin (* 0.5 x)))))) (* (* (log (exp (/ (sin x) (sin (* 0.5 x))))) (log (exp (/ (sin x) (sin (* 0.5 x)))))) (log (exp (/ (sin x) (sin (* 0.5 x)))))) (sqrt (log (exp (/ (sin x) (sin (* 0.5 x)))))) (sqrt (log (exp (/ (sin x) (sin (* 0.5 x)))))) (expm1 (exp (/ (sin x) (sin (* 0.5 x))))) (log1p (exp (/ (sin x) (sin (* 0.5 x))))) (exp (* (cbrt (/ (sin x) (sin (* 0.5 x)))) (cbrt (/ (sin x) (sin (* 0.5 x)))))) (exp (sqrt (/ (sin x) (sin (* 0.5 x))))) (exp (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))))) (exp (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (sin (* 0.5 x))))) (exp (/ (* (cbrt (sin x)) (cbrt (sin x))) 1)) (exp (/ (sqrt (sin x)) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))))) (exp (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x))))) (exp (/ (sqrt (sin x)) 1)) (exp (/ 1 (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))))) (exp (/ 1 (sqrt (sin (* 0.5 x))))) (exp (/ 1 1)) (exp 1) (exp (sin x)) (log (exp (/ (sin x) (sin (* 0.5 x))))) (exp (exp (/ (sin x) (sin (* 0.5 x))))) (* (cbrt (exp (/ (sin x) (sin (* 0.5 x))))) (cbrt (exp (/ (sin x) (sin (* 0.5 x)))))) (cbrt (exp (/ (sin x) (sin (* 0.5 x))))) (* (* (exp (/ (sin x) (sin (* 0.5 x)))) (exp (/ (sin x) (sin (* 0.5 x))))) (exp (/ (sin x) (sin (* 0.5 x))))) (sqrt (exp (/ (sin x) (sin (* 0.5 x))))) (sqrt (exp (/ (sin x) (sin (* 0.5 x))))) (expm1 (/ (sin x) (sin (* 0.5 x)))) (log1p (/ (sin x) (sin (* 0.5 x)))) (- (log (sin x)) (log (sin (* 0.5 x)))) (log (/ (sin x) (sin (* 0.5 x)))) (exp (/ (sin x) (sin (* 0.5 x)))) (/ (* (* (sin x) (sin x)) (sin x)) (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x)))) (* (cbrt (/ (sin x) (sin (* 0.5 x)))) (cbrt (/ (sin x) (sin (* 0.5 x))))) (cbrt (/ (sin x) (sin (* 0.5 x)))) (* (* (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 x)))) (sqrt (/ (sin x) (sin (* 0.5 x)))) (sqrt (/ (sin x) (sin (* 0.5 x)))) (- (sin x)) (- (sin (* 0.5 x))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (cbrt (sin x)) (cbrt (sin (* 0.5 x)))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (sin (* 0.5 x)))) (/ (cbrt (sin x)) (sqrt (sin (* 0.5 x)))) (/ (* (cbrt (sin x)) (cbrt (sin x))) 1) (/ (cbrt (sin x)) (sin (* 0.5 x))) (/ (sqrt (sin x)) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (sqrt (sin x)) (cbrt (sin (* 0.5 x)))) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (/ (sqrt (sin x)) 1) (/ (sqrt (sin x)) (sin (* 0.5 x))) (/ 1 (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (sin x) (cbrt (sin (* 0.5 x)))) (/ 1 (sqrt (sin (* 0.5 x)))) (/ (sin x) (sqrt (sin (* 0.5 x)))) (/ 1 1) (/ (sin x) (sin (* 0.5 x))) (/ 1 (sin (* 0.5 x))) (/ (sin (* 0.5 x)) (sin x)) (/ (sin x) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (sin x) (sqrt (sin (* 0.5 x)))) (/ (sin x) 1) (/ (sin (* 0.5 x)) (cbrt (sin x))) (/ (sin (* 0.5 x)) (sqrt (sin x))) (/ (sin (* 0.5 x)) (sin x)) (- (+ (* 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))) (- (+ (* 0.036458333333333336 (* (pow x 4) (exp 2.0))) (exp 2.0)) (* 0.25 (* (pow x 2) (exp 2.0)))) (exp (/ (sin x) (sin (* 0.5 x)))) (exp (/ (sin x) (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))) 2.010 * * [simplify]: iteration 0 : 372 enodes (cost 833 ) 2.016 * * [simplify]: iteration 1 : 1200 enodes (cost 757 ) 2.036 * * [simplify]: iteration 2 : 4701 enodes (cost 752 ) 2.134 * * [simplify]: iteration 3 : 5001 enodes (cost 752 ) 2.137 * [simplify]: Simplified to: (expm1 (* (/ 8.0 3.0) (sin (* x 0.5)))) (log1p (* (/ 8.0 3.0) (sin (* x 0.5)))) (* (/ 8.0 3.0) (sin (* x 0.5))) (log (* (/ 8.0 3.0) (sin (* x 0.5)))) (log (* (/ 8.0 3.0) (sin (* x 0.5)))) (log (* (/ 8.0 3.0) (sin (* x 0.5)))) (exp (* (/ 8.0 3.0) (sin (* x 0.5)))) (pow (* (/ 8.0 3.0) (sin (* x 0.5))) 3) (pow (* (/ 8.0 3.0) (sin (* x 0.5))) 3) (* (cbrt (* (/ 8.0 3.0) (sin (* x 0.5)))) (cbrt (* (/ 8.0 3.0) (sin (* x 0.5))))) (cbrt (* (/ 8.0 3.0) (sin (* x 0.5)))) (pow (* (/ 8.0 3.0) (sin (* x 0.5))) 3) (sqrt (* (/ 8.0 3.0) (sin (* x 0.5)))) (sqrt (* (/ 8.0 3.0) (sin (* x 0.5)))) (* (sqrt (/ 8.0 3.0)) (sqrt (sin (* x 0.5)))) (* (sqrt (/ 8.0 3.0)) (sqrt (sin (* x 0.5)))) (* (/ (sqrt 8.0) (sqrt 3.0)) (sqrt (sin (* x 0.5)))) (* (/ (sqrt 8.0) (sqrt 3.0)) (sqrt (sin (* x 0.5)))) (* (/ 8.0 3.0) (* (cbrt (sin (* x 0.5))) (cbrt (sin (* x 0.5))))) (* (/ 8.0 3.0) (sqrt (sin (* x 0.5)))) (/ 8.0 3.0) (* (cbrt (/ 8.0 3.0)) (sin (* x 0.5))) (* (sqrt (/ 8.0 3.0)) (sin (* x 0.5))) (* (/ (cbrt 8.0) (cbrt 3.0)) (sin (* x 0.5))) (* (/ (cbrt 8.0) (sqrt 3.0)) (sin (* x 0.5))) (* (/ (cbrt 8.0) 3.0) (sin (* x 0.5))) (* (/ (sqrt 8.0) (cbrt 3.0)) (sin (* x 0.5))) (* (/ (sqrt 8.0) (sqrt 3.0)) (sin (* x 0.5))) (* (/ (sqrt 8.0) 3.0) (sin (* x 0.5))) (* (/ 8.0 (cbrt 3.0)) (sin (* x 0.5))) (* (/ 8.0 (sqrt 3.0)) (sin (* x 0.5))) (* (/ 8.0 3.0) (sin (* x 0.5))) (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) 3.0) (* 8.0 (sin (* x 0.5))) (expm1 (/ (sin x) (sin (* 0.5 x)))) (log1p (/ (sin x) (sin (* 0.5 x)))) (* 2 (log (cbrt (exp (/ (sin x) (sin (* 0.5 x))))))) (log (cbrt (exp (/ (sin x) (sin (* 0.5 x)))))) (log (sqrt (exp (/ (sin x) (sin (* 0.5 x)))))) (log (sqrt (exp (/ (sin x) (sin (* 0.5 x)))))) 0 (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x))) (* (cbrt (/ (sin x) (sin (* 0.5 x)))) (cbrt (/ (sin x) (sin (* 0.5 x))))) (sqrt (/ (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 x))) (sqrt (sin (* 0.5 x)))) (* (cbrt (sin x)) (cbrt (sin x))) (/ (sqrt (sin x)) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (sqrt (sin x)) (/ 1 (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ 1 (sqrt (sin (* 0.5 x)))) 1 1 (sin x) (log (/ (sin x) (sin (* 0.5 x)))) (exp (/ (sin 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)))) (pow (/ (sin x) (sin (* 0.5 x))) 3) (sqrt (/ (sin x) (sin (* 0.5 x)))) (sqrt (/ (sin x) (sin (* 0.5 x)))) (expm1 (exp (/ (sin x) (sin (* 0.5 x))))) (log1p (exp (/ (sin x) (sin (* 0.5 x))))) (exp (* (cbrt (/ (sin x) (sin (* 0.5 x)))) (cbrt (/ (sin x) (sin (* 0.5 x)))))) (exp (sqrt (/ (sin x) (sin (* 0.5 x))))) (exp (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))))) (exp (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (sin (* 0.5 x))))) (pow (exp (cbrt (sin x))) (cbrt (sin x))) (exp (/ (sqrt (sin x)) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))))) (exp (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x))))) (exp (sqrt (sin x))) (exp (/ 1 (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))))) (exp (/ 1 (sqrt (sin (* 0.5 x))))) E E (exp (sin x)) (/ (sin x) (sin (* 0.5 x))) (exp (exp (/ (sin x) (sin (* 0.5 x))))) (* (cbrt (exp (/ (sin x) (sin (* 0.5 x))))) (cbrt (exp (/ (sin x) (sin (* 0.5 x)))))) (cbrt (exp (/ (sin x) (sin (* 0.5 x))))) (pow (exp (/ (sin x) (sin (* 0.5 x)))) 3) (sqrt (exp (/ (sin x) (sin (* 0.5 x))))) (sqrt (exp (/ (sin x) (sin (* 0.5 x))))) (expm1 (/ (sin x) (sin (* 0.5 x)))) (log1p (/ (sin x) (sin (* 0.5 x)))) (log (/ (sin x) (sin (* 0.5 x)))) (log (/ (sin x) (sin (* 0.5 x)))) (exp (/ (sin x) (sin (* 0.5 x)))) (pow (/ (sin x) (sin (* 0.5 x))) 3) (* (cbrt (/ (sin x) (sin (* 0.5 x)))) (cbrt (/ (sin x) (sin (* 0.5 x))))) (cbrt (/ (sin x) (sin (* 0.5 x)))) (pow (/ (sin x) (sin (* 0.5 x))) 3) (sqrt (/ (sin x) (sin (* 0.5 x)))) (sqrt (/ (sin x) (sin (* 0.5 x)))) (- (sin x)) (- (sin (* 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)) (fma x 1.3333333333333333 (- (* 0.0006944444444444444 (pow x 5)) (* 0.05555555555555555 (pow x 3)))) (* 2.6666666666666665 (sin (* 0.5 x))) (* 2.6666666666666665 (sin (* 0.5 x))) (fma (pow x 4) 0.005208333333333334 (- 2.0 (* 0.25 (pow x 2)))) (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x))) (* (exp 2.0) (- (fma 0.036458333333333336 (pow x 4) 1) (* 0.25 (pow x 2)))) (exp (/ (sin x) (sin (* 0.5 x)))) (exp (/ (sin x) (sin (* 0.5 x)))) (fma (pow x 4) 0.005208333333333334 (- 2.0 (* 0.25 (pow x 2)))) (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x))) 2.138 * * * [progress]: adding candidates to table 2.503 * [progress]: [Phase 3 of 3] Extracting. 2.503 * * [regime]: Finding splitpoints for: (# # # # # # # #) 2.504 * * * [regime-changes]: Trying 1 branch expressions: (x) 2.504 * * * * [regimes]: Trying to branch on x from (# # # # # # # #) 2.535 * * * [regime]: Found split indices: #