123.827 * [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. 0.051 * [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 ) 0.055 * * [simplify]: iteration 1 : 43 enodes (cost 9 ) 0.056 * * [simplify]: iteration 2 : 93 enodes (cost 9 ) 0.058 * * [simplify]: iteration 3 : 174 enodes (cost 9 ) 0.061 * * [simplify]: iteration 4 : 269 enodes (cost 9 ) 0.064 * * [simplify]: iteration 5 : 288 enodes (cost 9 ) 0.067 * * [simplify]: iteration 6 : 288 enodes (cost 9 ) 0.068 * [simplify]: Simplified to: (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x)) 0.068 * * [progress]: iteration 1 / 4 0.068 * * * [progress]: picking best candidate 0.070 * * * * [pick]: Picked # 0.070 * * * [progress]: localizing error 0.080 * * * [progress]: generating rewritten candidates 0.080 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.099 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.113 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.137 * * * [progress]: generating series expansions 0.137 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.137 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in (x) around 0 0.137 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.137 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.137 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 0.137 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.137 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.137 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.137 * [taylor]: Taking taylor expansion of 0.5 in x 0.138 * [taylor]: Taking taylor expansion of x in x 0.140 * [taylor]: Taking taylor expansion of (sin x) in x 0.140 * [taylor]: Taking taylor expansion of x in x 0.141 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.141 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.141 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 0.141 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.141 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.141 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.141 * [taylor]: Taking taylor expansion of 0.5 in x 0.141 * [taylor]: Taking taylor expansion of x in x 0.144 * [taylor]: Taking taylor expansion of (sin x) in x 0.144 * [taylor]: Taking taylor expansion of x in x 0.180 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in (x) around 0 0.180 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 0.180 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.180 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 0.181 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.181 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.181 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.181 * [taylor]: Taking taylor expansion of 0.5 in x 0.181 * [taylor]: Taking taylor expansion of x in x 0.181 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.181 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.181 * [taylor]: Taking taylor expansion of x in x 0.181 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 0.182 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.182 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 0.182 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.182 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.182 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.182 * [taylor]: Taking taylor expansion of 0.5 in x 0.182 * [taylor]: Taking taylor expansion of x in x 0.182 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.182 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.182 * [taylor]: Taking taylor expansion of x in x 0.199 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in (x) around 0 0.199 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.199 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.199 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 0.199 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.199 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.199 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.199 * [taylor]: Taking taylor expansion of -0.5 in x 0.199 * [taylor]: Taking taylor expansion of x in x 0.199 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.199 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.200 * [taylor]: Taking taylor expansion of -1 in x 0.200 * [taylor]: Taking taylor expansion of x in x 0.200 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.200 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.200 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 0.200 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.200 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.200 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.200 * [taylor]: Taking taylor expansion of -0.5 in x 0.200 * [taylor]: Taking taylor expansion of x in x 0.201 * [taylor]: Taking taylor expansion of (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 0.214 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.214 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in (x) around 0 0.214 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 0.214 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.214 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.214 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.214 * [taylor]: Taking taylor expansion of 0.5 in x 0.214 * [taylor]: Taking taylor expansion of x in x 0.215 * [taylor]: Taking taylor expansion of (* 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 0.216 * [taylor]: Taking taylor expansion of 0.5 in x 0.216 * [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 0.238 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.238 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.238 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.238 * [taylor]: Taking taylor expansion of 0.5 in x 0.238 * [taylor]: Taking taylor expansion of x in x 0.244 * [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 0.250 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.250 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (* 0.5 x)) 2)) in (x) around 0 0.250 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (* 0.5 x)) 2)) in x 0.250 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.250 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.250 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.250 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.250 * [taylor]: Taking taylor expansion of 0.5 in x 0.250 * [taylor]: Taking taylor expansion of x in x 0.253 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (* 0.5 x)) 2)) in x 0.253 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.253 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.253 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.253 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.253 * [taylor]: Taking taylor expansion of 0.5 in x 0.253 * [taylor]: Taking taylor expansion of x in x 0.285 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ 0.5 x)) 2)) in (x) around 0 0.285 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ 0.5 x)) 2)) in x 0.285 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.285 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.285 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.285 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.285 * [taylor]: Taking taylor expansion of 0.5 in x 0.285 * [taylor]: Taking taylor expansion of x in x 0.285 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ 0.5 x)) 2)) in x 0.285 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.285 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.285 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.285 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.285 * [taylor]: Taking taylor expansion of 0.5 in x 0.285 * [taylor]: Taking taylor expansion of x in x 0.297 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ -0.5 x)) 2)) in (x) around 0 0.297 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ -0.5 x)) 2)) in x 0.297 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.297 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.297 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.297 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.297 * [taylor]: Taking taylor expansion of -0.5 in x 0.297 * [taylor]: Taking taylor expansion of x in x 0.297 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ -0.5 x)) 2)) in x 0.297 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.297 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.297 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.297 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.297 * [taylor]: Taking taylor expansion of -0.5 in x 0.297 * [taylor]: Taking taylor expansion of x in x 0.308 * * * [progress]: simplifying candidates 0.309 * [simplify]: Simplifying using # : (- (+ (+ (- (log 8.0) (log 3.0)) (log (sin (* x 0.5)))) (log (sin (* x 0.5)))) (log (sin x))) (- (+ (+ (log (/ 8.0 3.0)) (log (sin (* x 0.5)))) (log (sin (* x 0.5)))) (log (sin x))) (- (+ (log (* (/ 8.0 3.0) (sin (* x 0.5)))) (log (sin (* x 0.5)))) (log (sin x))) (- (log (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))) (log (sin x))) (log (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))) (exp (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))) (/ (* (* (/ (* (* 8.0 8.0) 8.0) (* (* 3.0 3.0) 3.0)) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* (sin x) (sin x)) (sin x))) (/ (* (* (* (* (/ 8.0 3.0) (/ 8.0 3.0)) (/ 8.0 3.0)) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* (sin x) (sin x)) (sin x))) (/ (* (* (* (* (/ 8.0 3.0) (sin (* x 0.5))) (* (/ 8.0 3.0) (sin (* x 0.5)))) (* (/ 8.0 3.0) (sin (* x 0.5)))) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* (sin x) (sin x)) (sin x))) (/ (* (* (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* (sin x) (sin x)) (sin x))) (* (cbrt (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))) (cbrt (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x)))) (cbrt (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))) (* (* (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x)) (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))) (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))) (sqrt (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))) (sqrt (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))) (- (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))) (- (sin x)) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sin (* x 0.5)) (cbrt (sin x))) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (sqrt (sin x))) (/ (sin (* x 0.5)) (sqrt (sin x))) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) 1) (/ (sin (* x 0.5)) (sin x)) (/ 1 (sin x)) (/ (sin x) (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))) (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sqrt (sin x))) (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) 1) (/ (sin x) (sin (* x 0.5))) (* (sin x) 3.0) (* (/ 8.0 3.0) (sin (* x 0.5))) (+ (- (log 8.0) (log 3.0)) (log (sin (* x 0.5)))) (+ (log (/ 8.0 3.0)) (log (sin (* x 0.5)))) (log (* (/ 8.0 3.0) (sin (* x 0.5)))) (exp (* (/ 8.0 3.0) (sin (* x 0.5)))) (* (/ (* (* 8.0 8.0) 8.0) (* (* 3.0 3.0) 3.0)) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* (* (/ 8.0 3.0) (/ 8.0 3.0)) (/ 8.0 3.0)) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (cbrt (* (/ 8.0 3.0) (sin (* x 0.5)))) (cbrt (* (/ 8.0 3.0) (sin (* x 0.5))))) (cbrt (* (/ 8.0 3.0) (sin (* x 0.5)))) (* (* (* (/ 8.0 3.0) (sin (* x 0.5))) (* (/ 8.0 3.0) (sin (* x 0.5)))) (* (/ 8.0 3.0) (sin (* x 0.5)))) (sqrt (* (/ 8.0 3.0) (sin (* x 0.5)))) (sqrt (* (/ 8.0 3.0) (sin (* x 0.5)))) (* (sqrt (/ 8.0 3.0)) (sqrt (sin (* x 0.5)))) (* (sqrt (/ 8.0 3.0)) (sqrt (sin (* x 0.5)))) (* (/ (sqrt 8.0) (sqrt 3.0)) (sqrt (sin (* x 0.5)))) (* (/ (sqrt 8.0) (sqrt 3.0)) (sqrt (sin (* x 0.5)))) (* (/ 8.0 3.0) (* (cbrt (sin (* x 0.5))) (cbrt (sin (* x 0.5))))) (* (/ 8.0 3.0) (sqrt (sin (* x 0.5)))) (* (/ 8.0 3.0) 1) (* (cbrt (/ 8.0 3.0)) (sin (* x 0.5))) (* (sqrt (/ 8.0 3.0)) (sin (* x 0.5))) (* (/ (cbrt 8.0) (cbrt 3.0)) (sin (* x 0.5))) (* (/ (cbrt 8.0) (sqrt 3.0)) (sin (* x 0.5))) (* (/ (cbrt 8.0) 3.0) (sin (* x 0.5))) (* (/ (sqrt 8.0) (cbrt 3.0)) (sin (* x 0.5))) (* (/ (sqrt 8.0) (sqrt 3.0)) (sin (* x 0.5))) (* (/ (sqrt 8.0) 3.0) (sin (* x 0.5))) (* (/ 8.0 (cbrt 3.0)) (sin (* x 0.5))) (* (/ 8.0 (sqrt 3.0)) (sin (* x 0.5))) (* (/ 8.0 3.0) (sin (* x 0.5))) (* (/ 8.0 3.0) (sin (* x 0.5))) (* (/ 1 3.0) (sin (* x 0.5))) (* 8.0 (sin (* x 0.5))) (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (+ (+ (- (log 8.0) (log 3.0)) (log (sin (* x 0.5)))) (log (sin (* x 0.5)))) (+ (+ (log (/ 8.0 3.0)) (log (sin (* x 0.5)))) (log (sin (* x 0.5)))) (+ (log (* (/ 8.0 3.0) (sin (* x 0.5)))) (log (sin (* x 0.5)))) (log (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))) (exp (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* (/ (* (* 8.0 8.0) 8.0) (* (* 3.0 3.0) 3.0)) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* (* (* (/ 8.0 3.0) (/ 8.0 3.0)) (/ 8.0 3.0)) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* (* (* (/ 8.0 3.0) (sin (* x 0.5))) (* (/ 8.0 3.0) (sin (* x 0.5)))) (* (/ 8.0 3.0) (sin (* x 0.5)))) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (cbrt (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))) (cbrt (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))))) (cbrt (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))) (sqrt (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))) (sqrt (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* (/ 8.0 3.0) (sin (* x 0.5))) (* (cbrt (sin (* x 0.5))) (cbrt (sin (* x 0.5))))) (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sqrt (sin (* x 0.5)))) (* (* (/ 8.0 3.0) (sin (* x 0.5))) 1) (* (sin (* x 0.5)) (sin (* x 0.5))) (* (* 8.0 (sin (* x 0.5))) (sin (* x 0.5))) (+ (* 0.05555555555555555 (pow x 3)) (+ (* 0.005555555555555554 (pow x 5)) (* 0.6666666666666666 x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (- (+ (* 1.3333333333333333 x) (* 0.0006944444444444444 (pow x 5))) (* 0.05555555555555555 (pow x 3))) (* 2.6666666666666665 (sin (* 0.5 x))) (* 2.6666666666666665 (sin (* 0.5 x))) (- (+ (* 0.6666666666666666 (pow x 2)) (* 0.0018518518518518515 (pow x 6))) (* 0.05555555555555555 (pow x 4))) (* 2.6666666666666665 (pow (sin (* 0.5 x)) 2)) (* 2.6666666666666665 (pow (sin (* 0.5 x)) 2)) 0.315 * * [simplify]: iteration 0 : 402 enodes (cost 818 ) 0.324 * * [simplify]: iteration 1 : 2097 enodes (cost 614 ) 0.360 * * [simplify]: iteration 2 : 5002 enodes (cost 599 ) 0.363 * [simplify]: Simplified to: (- (log (/ 8.0 3.0)) (log (/ (sin x) (pow (sin (* 0.5 x)) 2)))) (- (log (/ 8.0 3.0)) (log (/ (sin x) (pow (sin (* 0.5 x)) 2)))) (- (log (/ 8.0 3.0)) (log (/ (sin x) (pow (sin (* 0.5 x)) 2)))) (- (log (/ 8.0 3.0)) (log (/ (sin x) (pow (sin (* 0.5 x)) 2)))) (- (log (/ 8.0 3.0)) (log (/ (sin x) (pow (sin (* 0.5 x)) 2)))) (exp (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))) (/ 1 (pow (/ (/ (sin x) (/ 8.0 3.0)) (pow (sin (* 0.5 x)) 2)) 3)) (/ 1 (pow (/ (/ (sin x) (/ 8.0 3.0)) (pow (sin (* 0.5 x)) 2)) 3)) (/ 1 (pow (/ (/ (sin x) (/ 8.0 3.0)) (pow (sin (* 0.5 x)) 2)) 3)) (/ 1 (pow (/ (/ (sin x) (/ 8.0 3.0)) (pow (sin (* 0.5 x)) 2)) 3)) (* (cbrt (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))) (cbrt (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x)))) (cbrt (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))) (/ 1 (pow (/ (/ (sin x) (/ 8.0 3.0)) (pow (sin (* 0.5 x)) 2)) 3)) (sqrt (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))) (sqrt (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))) (* (- (/ 8.0 3.0)) (pow (sin (* 0.5 x)) 2)) (- (sin x)) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sin (* 0.5 x)) (cbrt (sin x))) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (sqrt (sin x))) (/ (sin (* 0.5 x)) (sqrt (sin x))) (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)) (/ 1 (sin x)) (/ (/ (sin x) (/ 8.0 3.0)) (pow (sin (* 0.5 x)) 2)) (* (/ (/ 8.0 3.0) (cbrt (sin x))) (/ (pow (sin (* 0.5 x)) 2) (cbrt (sin x)))) (/ (/ 8.0 3.0) (/ (sqrt (sin x)) (pow (sin (* 0.5 x)) 2))) (* (pow (sin (* 0.5 x)) 2) (/ 8.0 3.0)) (/ (sin x) (sin (* 0.5 x))) (* (sin x) 3.0) (* (/ 8.0 3.0) (sin (* x 0.5))) (log (* (/ 8.0 3.0) (sin (* x 0.5)))) (log (* (/ 8.0 3.0) (sin (* x 0.5)))) (log (* (/ 8.0 3.0) (sin (* x 0.5)))) (exp (* (/ 8.0 3.0) (sin (* x 0.5)))) (pow (* (/ 8.0 3.0) (sin (* x 0.5))) 3) (pow (* (/ 8.0 3.0) (sin (* x 0.5))) 3) (* (cbrt (* (/ 8.0 3.0) (sin (* x 0.5)))) (cbrt (* (/ 8.0 3.0) (sin (* x 0.5))))) (cbrt (* (/ 8.0 3.0) (sin (* x 0.5)))) (pow (* (/ 8.0 3.0) (sin (* x 0.5))) 3) (sqrt (* (/ 8.0 3.0) (sin (* x 0.5)))) (sqrt (* (/ 8.0 3.0) (sin (* x 0.5)))) (* (sqrt (/ 8.0 3.0)) (sqrt (sin (* x 0.5)))) (* (sqrt (/ 8.0 3.0)) (sqrt (sin (* x 0.5)))) (* (/ (sqrt 8.0) (sqrt 3.0)) (sqrt (sin (* x 0.5)))) (* (/ (sqrt 8.0) (sqrt 3.0)) (sqrt (sin (* x 0.5)))) (* (/ 8.0 3.0) (* (cbrt (sin (* x 0.5))) (cbrt (sin (* x 0.5))))) (* (/ 8.0 3.0) (sqrt (sin (* x 0.5)))) (/ 8.0 3.0) (* (cbrt (/ 8.0 3.0)) (sin (* x 0.5))) (* (sqrt (/ 8.0 3.0)) (sin (* x 0.5))) (* (/ (cbrt 8.0) (cbrt 3.0)) (sin (* x 0.5))) (* (/ (cbrt 8.0) (sqrt 3.0)) (sin (* x 0.5))) (* (/ (cbrt 8.0) 3.0) (sin (* x 0.5))) (* (/ (sqrt 8.0) (cbrt 3.0)) (sin (* x 0.5))) (* (/ (sqrt 8.0) (sqrt 3.0)) (sin (* x 0.5))) (* (/ (sqrt 8.0) 3.0) (sin (* x 0.5))) (* (/ 8.0 (cbrt 3.0)) (sin (* x 0.5))) (* (/ 8.0 (sqrt 3.0)) (sin (* x 0.5))) (* (/ 8.0 3.0) (sin (* x 0.5))) (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) 3.0) (* 8.0 (sin (* x 0.5))) (* (pow (sin (* 0.5 x)) 2) (/ 8.0 3.0)) (* (pow (sin (* 0.5 x)) 2) (/ 8.0 3.0)) (+ (log (/ 8.0 3.0)) (log (pow (sin (* 0.5 x)) 2))) (+ (log (/ 8.0 3.0)) (log (pow (sin (* 0.5 x)) 2))) (+ (log (/ 8.0 3.0)) (log (pow (sin (* 0.5 x)) 2))) (+ (log (/ 8.0 3.0)) (log (pow (sin (* 0.5 x)) 2))) (pow (exp (/ 8.0 3.0)) (pow (sin (* 0.5 x)) 2)) (/ (pow (* (pow (sin (* 0.5 x)) 2) 8.0) 3) (pow 3.0 3)) (/ (pow (* (pow (sin (* 0.5 x)) 2) 8.0) 3) (pow 3.0 3)) (/ (pow (* (pow (sin (* 0.5 x)) 2) 8.0) 3) (pow 3.0 3)) (* (cbrt (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))) (cbrt (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))))) (cbrt (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))) (/ (pow (* (pow (sin (* 0.5 x)) 2) 8.0) 3) (pow 3.0 3)) (sqrt (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))) (sqrt (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* (/ 8.0 3.0) (sin (* x 0.5))) (* (cbrt (sin (* x 0.5))) (cbrt (sin (* x 0.5))))) (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sqrt (sin (* x 0.5)))) (* (/ 8.0 3.0) (sin (* x 0.5))) (pow (sin (* 0.5 x)) 2) (* (pow (sin (* 0.5 x)) 2) 8.0) (+ (* 0.05555555555555555 (pow x 3)) (+ (* 0.005555555555555554 (pow x 5)) (* 0.6666666666666666 x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (- (+ (* 1.3333333333333333 x) (* 0.0006944444444444444 (pow x 5))) (* 0.05555555555555555 (pow x 3))) (* 2.6666666666666665 (sin (* 0.5 x))) (* 2.6666666666666665 (sin (* 0.5 x))) (- (+ (* 0.6666666666666666 (pow x 2)) (* 0.0018518518518518515 (pow x 6))) (* 0.05555555555555555 (pow x 4))) (* 2.6666666666666665 (pow (sin (* 0.5 x)) 2)) (* 2.6666666666666665 (pow (sin (* 0.5 x)) 2)) 0.364 * * * [progress]: adding candidates to table 0.549 * * [progress]: iteration 2 / 4 0.549 * * * [progress]: picking best candidate 0.577 * * * * [pick]: Picked # 0.577 * * * [progress]: localizing error 0.593 * * * [progress]: generating rewritten candidates 0.593 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.603 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.607 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.622 * * * [progress]: generating series expansions 0.622 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.623 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in (x) around 0 0.623 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 0.623 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.623 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.623 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.623 * [taylor]: Taking taylor expansion of 0.5 in x 0.623 * [taylor]: Taking taylor expansion of x in x 0.624 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 0.624 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.624 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.625 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.625 * [taylor]: Taking taylor expansion of 0.5 in x 0.625 * [taylor]: Taking taylor expansion of x in x 0.646 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in (x) around 0 0.646 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 0.646 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.646 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.646 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.646 * [taylor]: Taking taylor expansion of 0.5 in x 0.646 * [taylor]: Taking taylor expansion of x in x 0.646 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 0.646 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.646 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.646 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.646 * [taylor]: Taking taylor expansion of 0.5 in x 0.646 * [taylor]: Taking taylor expansion of x in x 0.653 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in (x) around 0 0.653 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 0.653 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.653 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.653 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.653 * [taylor]: Taking taylor expansion of -0.5 in x 0.653 * [taylor]: Taking taylor expansion of x in x 0.653 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 0.653 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.653 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.653 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.653 * [taylor]: Taking taylor expansion of -0.5 in x 0.653 * [taylor]: Taking taylor expansion of x in x 0.659 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.659 * [approximate]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in (x) around 0 0.659 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 0.659 * [taylor]: Taking taylor expansion of (sin x) in x 0.659 * [taylor]: Taking taylor expansion of x in x 0.659 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.659 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.659 * [taylor]: Taking taylor expansion of 0.5 in x 0.659 * [taylor]: Taking taylor expansion of x in x 0.662 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 0.663 * [taylor]: Taking taylor expansion of (sin x) in x 0.663 * [taylor]: Taking taylor expansion of x in x 0.663 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.663 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.663 * [taylor]: Taking taylor expansion of 0.5 in x 0.663 * [taylor]: Taking taylor expansion of x in x 0.694 * [approximate]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in (x) around 0 0.694 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 0.694 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.694 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.695 * [taylor]: Taking taylor expansion of x in x 0.695 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.695 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.695 * [taylor]: Taking taylor expansion of 0.5 in x 0.695 * [taylor]: Taking taylor expansion of x in x 0.695 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 0.695 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.695 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.695 * [taylor]: Taking taylor expansion of x in x 0.696 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.696 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.696 * [taylor]: Taking taylor expansion of 0.5 in x 0.696 * [taylor]: Taking taylor expansion of x in x 0.698 * [approximate]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in (x) around 0 0.698 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 0.698 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.698 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.698 * [taylor]: Taking taylor expansion of -1 in x 0.698 * [taylor]: Taking taylor expansion of x in x 0.698 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.698 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.698 * [taylor]: Taking taylor expansion of -0.5 in x 0.698 * [taylor]: Taking taylor expansion of x in x 0.699 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 0.699 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.699 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.699 * [taylor]: Taking taylor expansion of -1 in x 0.699 * [taylor]: Taking taylor expansion of x in x 0.699 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.699 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.699 * [taylor]: Taking taylor expansion of -0.5 in x 0.699 * [taylor]: Taking taylor expansion of x in x 0.702 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.702 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in (x) around 0 0.702 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.702 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.702 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 0.702 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.702 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.702 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.702 * [taylor]: Taking taylor expansion of 0.5 in x 0.702 * [taylor]: Taking taylor expansion of x in x 0.705 * [taylor]: Taking taylor expansion of (sin x) in x 0.705 * [taylor]: Taking taylor expansion of x in x 0.707 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.707 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.707 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 0.707 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.707 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.707 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.707 * [taylor]: Taking taylor expansion of 0.5 in x 0.707 * [taylor]: Taking taylor expansion of x in x 0.709 * [taylor]: Taking taylor expansion of (sin x) in x 0.709 * [taylor]: Taking taylor expansion of x in x 0.746 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in (x) around 0 0.746 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 0.746 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.746 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 0.746 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.746 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.746 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.746 * [taylor]: Taking taylor expansion of 0.5 in x 0.746 * [taylor]: Taking taylor expansion of x in x 0.746 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.746 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.746 * [taylor]: Taking taylor expansion of x in x 0.747 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 0.747 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.747 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 0.747 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.747 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.747 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.747 * [taylor]: Taking taylor expansion of 0.5 in x 0.747 * [taylor]: Taking taylor expansion of x in x 0.747 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.747 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.747 * [taylor]: Taking taylor expansion of x in x 0.763 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in (x) around 0 0.763 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.763 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.763 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 0.763 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.763 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.763 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.763 * [taylor]: Taking taylor expansion of -0.5 in x 0.763 * [taylor]: Taking taylor expansion of x in x 0.764 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.764 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.764 * [taylor]: Taking taylor expansion of -1 in x 0.764 * [taylor]: Taking taylor expansion of x in x 0.764 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.764 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.764 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 0.764 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.764 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.764 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.764 * [taylor]: Taking taylor expansion of -0.5 in x 0.765 * [taylor]: Taking taylor expansion of x in x 0.765 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.765 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.765 * [taylor]: Taking taylor expansion of -1 in x 0.765 * [taylor]: Taking taylor expansion of x in x 0.778 * * * [progress]: simplifying candidates 0.780 * [simplify]: Simplifying using # : (* (/ 8.0 3.0) (sin (* x 0.5))) (+ (- (log 8.0) (log 3.0)) (log (sin (* x 0.5)))) (+ (log (/ 8.0 3.0)) (log (sin (* x 0.5)))) (log (* (/ 8.0 3.0) (sin (* x 0.5)))) (exp (* (/ 8.0 3.0) (sin (* x 0.5)))) (* (/ (* (* 8.0 8.0) 8.0) (* (* 3.0 3.0) 3.0)) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* (* (/ 8.0 3.0) (/ 8.0 3.0)) (/ 8.0 3.0)) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (cbrt (* (/ 8.0 3.0) (sin (* x 0.5)))) (cbrt (* (/ 8.0 3.0) (sin (* x 0.5))))) (cbrt (* (/ 8.0 3.0) (sin (* x 0.5)))) (* (* (* (/ 8.0 3.0) (sin (* x 0.5))) (* (/ 8.0 3.0) (sin (* x 0.5)))) (* (/ 8.0 3.0) (sin (* x 0.5)))) (sqrt (* (/ 8.0 3.0) (sin (* x 0.5)))) (sqrt (* (/ 8.0 3.0) (sin (* x 0.5)))) (* (sqrt (/ 8.0 3.0)) (sqrt (sin (* x 0.5)))) (* (sqrt (/ 8.0 3.0)) (sqrt (sin (* x 0.5)))) (* (/ (sqrt 8.0) (sqrt 3.0)) (sqrt (sin (* x 0.5)))) (* (/ (sqrt 8.0) (sqrt 3.0)) (sqrt (sin (* x 0.5)))) (* (/ 8.0 3.0) (* (cbrt (sin (* x 0.5))) (cbrt (sin (* x 0.5))))) (* (/ 8.0 3.0) (sqrt (sin (* x 0.5)))) (* (/ 8.0 3.0) 1) (* (cbrt (/ 8.0 3.0)) (sin (* x 0.5))) (* (sqrt (/ 8.0 3.0)) (sin (* x 0.5))) (* (/ (cbrt 8.0) (cbrt 3.0)) (sin (* x 0.5))) (* (/ (cbrt 8.0) (sqrt 3.0)) (sin (* x 0.5))) (* (/ (cbrt 8.0) 3.0) (sin (* x 0.5))) (* (/ (sqrt 8.0) (cbrt 3.0)) (sin (* x 0.5))) (* (/ (sqrt 8.0) (sqrt 3.0)) (sin (* x 0.5))) (* (/ (sqrt 8.0) 3.0) (sin (* x 0.5))) (* (/ 8.0 (cbrt 3.0)) (sin (* x 0.5))) (* (/ 8.0 (sqrt 3.0)) (sin (* x 0.5))) (* (/ 8.0 3.0) (sin (* x 0.5))) (* (/ 8.0 3.0) (sin (* x 0.5))) (* (/ 1 3.0) (sin (* x 0.5))) (* 8.0 (sin (* x 0.5))) (- (log (sin x)) (log (sin (* 0.5 x)))) (log (/ (sin x) (sin (* 0.5 x)))) (exp (/ (sin x) (sin (* 0.5 x)))) (/ (* (* (sin x) (sin x)) (sin x)) (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x)))) (* (cbrt (/ (sin x) (sin (* 0.5 x)))) (cbrt (/ (sin x) (sin (* 0.5 x))))) (cbrt (/ (sin x) (sin (* 0.5 x)))) (* (* (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 x)))) (sqrt (/ (sin x) (sin (* 0.5 x)))) (sqrt (/ (sin x) (sin (* 0.5 x)))) (- (sin x)) (- (sin (* 0.5 x))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (cbrt (sin x)) (cbrt (sin (* 0.5 x)))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (sin (* 0.5 x)))) (/ (cbrt (sin x)) (sqrt (sin (* 0.5 x)))) (/ (* (cbrt (sin x)) (cbrt (sin x))) 1) (/ (cbrt (sin x)) (sin (* 0.5 x))) (/ (sqrt (sin x)) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (sqrt (sin x)) (cbrt (sin (* 0.5 x)))) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (/ (sqrt (sin x)) 1) (/ (sqrt (sin x)) (sin (* 0.5 x))) (/ 1 (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (sin x) (cbrt (sin (* 0.5 x)))) (/ 1 (sqrt (sin (* 0.5 x)))) (/ (sin x) (sqrt (sin (* 0.5 x)))) (/ 1 1) (/ (sin x) (sin (* 0.5 x))) (/ 1 (sin (* 0.5 x))) (/ (sin (* 0.5 x)) (sin x)) (/ (sin x) (* (cbrt (sin (* 0.5 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(sin x) (sin (* 0.5 x))))) (* (cbrt (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* 0.5 x))))) (cbrt (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* 0.5 x)))))) (cbrt (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* 0.5 x))))) (* (* (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* 0.5 x)))) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* 0.5 x))))) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* 0.5 x))))) (sqrt (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* 0.5 x))))) (sqrt (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* 0.5 x))))) (- (* (/ 8.0 3.0) (sin (* x 0.5)))) (- (/ (sin x) (sin (* 0.5 x)))) (/ (/ 8.0 3.0) (* (cbrt (/ (sin x) (sin (* 0.5 x)))) (cbrt (/ (sin x) (sin (* 0.5 x)))))) (/ (sin (* x 0.5)) (cbrt (/ (sin x) (sin (* 0.5 x))))) (/ (/ 8.0 3.0) (sqrt (/ (sin x) (sin (* 0.5 x))))) (/ (sin (* x 0.5)) (sqrt (/ (sin x) (sin (* 0.5 x))))) (/ (/ 8.0 3.0) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 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(sin (* x 0.5)) (/ (sin x) (sin (* 0.5 x)))) (/ (/ 8.0 3.0) (sin x)) (/ (sin (* x 0.5)) (/ 1 (sin (* 0.5 x)))) (/ 1 (/ (sin x) (sin (* 0.5 x)))) (/ (/ (sin x) (sin (* 0.5 x))) (* (/ 8.0 3.0) (sin (* x 0.5)))) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (* (cbrt (/ (sin x) (sin (* 0.5 x)))) (cbrt (/ (sin x) (sin (* 0.5 x)))))) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (sqrt (/ (sin x) (sin (* 0.5 x))))) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))))) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (sin (* 0.5 x))))) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (* (cbrt (sin x)) (cbrt (sin x))) 1)) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sqrt (sin x)) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))))) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x))))) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sqrt (sin x)) 1)) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ 1 (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))))) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ 1 (sqrt (sin (* 0.5 x))))) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ 1 1)) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) 1) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (sin x)) (/ (/ (sin x) (sin (* 0.5 x))) (sin (* x 0.5))) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (sin x)) (* (/ (sin x) (sin (* 0.5 x))) 3.0) (- (+ (* 1.3333333333333333 x) (* 0.0006944444444444444 (pow x 5))) (* 0.05555555555555555 (pow x 3))) (* 2.6666666666666665 (sin (* 0.5 x))) (* 2.6666666666666665 (sin (* 0.5 x))) (- (+ (* 0.005208333333333334 (pow x 4)) 2.0) (* 0.25 (pow x 2))) (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x))) (+ (* 0.05555555555555555 (pow x 3)) (+ (* 0.005555555555555554 (pow x 5)) (* 0.6666666666666666 x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) 0.787 * * [simplify]: iteration 0 : 540 enodes (cost 1166 ) 0.798 * * [simplify]: iteration 1 : 2701 enodes (cost 980 ) 0.837 * * 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3.0) (/ (* (cbrt (sin x)) (cbrt (sin x))) (sin (* x 0.5)))) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sqrt (sin x)) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))))) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x))))) (/ (/ 8.0 3.0) (/ (sqrt (sin x)) (sin (* x 0.5)))) (* (* (/ 8.0 3.0) (sin (* x 0.5))) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sqrt (sin (* 0.5 x)))) (* (/ 8.0 3.0) (sin (* x 0.5))) (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (sin x)) (/ (sin x) (pow (sin (* 0.5 x)) 2)) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (sin x)) (* (/ (sin x) (sin (* 0.5 x))) 3.0) (- (+ (* 1.3333333333333333 x) (* 0.0006944444444444444 (pow x 5))) (* 0.05555555555555555 (pow x 3))) (* 2.6666666666666665 (sin (* 0.5 x))) (* 2.6666666666666665 (sin (* 0.5 x))) (- (+ (* 0.005208333333333334 (pow x 4)) 2.0) (* 0.25 (pow x 2))) (/ (sin x) (sin (* x 0.5))) (/ (sin x) (sin (* x 0.5))) (+ (* 0.05555555555555555 (pow x 3)) (+ (* 0.005555555555555554 (pow x 5)) (* 0.6666666666666666 x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) 0.842 * * * [progress]: adding candidates to table 1.132 * * [progress]: iteration 3 / 4 1.132 * * * [progress]: picking best candidate 1.156 * * * * [pick]: Picked # 1.157 * * * [progress]: localizing error 1.170 * * * [progress]: generating rewritten candidates 1.170 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 1.178 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 1.182 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 1.197 * * * [progress]: generating series expansions 1.197 * * * * [progress]: [ 1 / 3 ] generating series at (2) 1.198 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in (x) around 0 1.198 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 1.198 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.198 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 1.198 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 1.198 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.198 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.198 * [taylor]: Taking taylor expansion of 0.5 in x 1.198 * [taylor]: Taking taylor expansion of x in x 1.201 * [taylor]: Taking taylor expansion of (sin x) in x 1.201 * [taylor]: Taking taylor expansion of x in x 1.202 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 1.202 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.202 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 1.202 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 1.202 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.202 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.202 * [taylor]: Taking taylor expansion of 0.5 in x 1.202 * [taylor]: Taking taylor expansion of x in x 1.205 * [taylor]: Taking taylor expansion of (sin x) in x 1.205 * [taylor]: Taking taylor expansion of x in x 1.240 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in (x) around 0 1.240 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 1.241 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.241 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 1.241 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 1.241 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.241 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.241 * [taylor]: Taking taylor expansion of 0.5 in x 1.241 * [taylor]: Taking taylor expansion of x in x 1.241 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.241 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.241 * [taylor]: Taking taylor expansion of x in x 1.241 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 1.242 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.242 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 1.242 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 1.242 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.242 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.242 * [taylor]: Taking taylor expansion of 0.5 in x 1.242 * [taylor]: Taking taylor expansion of x in x 1.242 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.242 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.242 * [taylor]: Taking taylor expansion of x in x 1.255 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in (x) around 0 1.255 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 1.255 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.255 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 1.255 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 1.255 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.255 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.255 * [taylor]: Taking taylor expansion of -0.5 in x 1.255 * [taylor]: Taking taylor expansion of x in x 1.255 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.255 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.255 * [taylor]: Taking taylor expansion of -1 in x 1.255 * [taylor]: Taking taylor expansion of x in x 1.256 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 1.256 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.256 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 1.256 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 1.256 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.256 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.256 * [taylor]: Taking taylor expansion of -0.5 in x 1.256 * [taylor]: Taking taylor expansion of x in x 1.256 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.256 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.257 * [taylor]: Taking taylor expansion of -1 in x 1.257 * [taylor]: Taking taylor expansion of x in x 1.273 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 1.273 * [approximate]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in (x) around 0 1.273 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 1.273 * [taylor]: Taking taylor expansion of (sin x) in x 1.273 * [taylor]: Taking taylor expansion of x in x 1.273 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.273 * [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 1.277 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 1.277 * [taylor]: Taking taylor expansion of (sin x) in x 1.277 * [taylor]: Taking taylor expansion of x in x 1.277 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.277 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.277 * [taylor]: Taking taylor expansion of 0.5 in x 1.277 * [taylor]: Taking taylor expansion of x in x 1.305 * [approximate]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in (x) around 0 1.305 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 1.305 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.305 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.305 * [taylor]: Taking taylor expansion of x in x 1.306 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.306 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.306 * [taylor]: Taking taylor expansion of 0.5 in x 1.306 * [taylor]: Taking taylor expansion of x in x 1.306 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 1.306 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.306 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.306 * [taylor]: Taking taylor expansion of x in x 1.306 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.306 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.307 * [taylor]: Taking taylor expansion of 0.5 in x 1.307 * [taylor]: Taking taylor expansion of x in x 1.309 * [approximate]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in (x) around 0 1.309 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 1.309 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.309 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.309 * [taylor]: Taking taylor expansion of -1 in x 1.309 * [taylor]: Taking taylor expansion of x in x 1.309 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.309 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.309 * [taylor]: Taking taylor expansion of -0.5 in x 1.309 * [taylor]: Taking taylor expansion of x in x 1.310 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 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 -1 in x 1.310 * [taylor]: Taking taylor expansion of x 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 1.312 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 1.312 * [approximate]: Taking taylor expansion of (* 3.0 (/ (sin x) (sin (* 0.5 x)))) in (x) around 0 1.313 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sin x) (sin (* 0.5 x)))) in x 1.313 * [taylor]: Taking taylor expansion of 3.0 in x 1.313 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 1.313 * [taylor]: Taking taylor expansion of (sin x) in x 1.313 * [taylor]: Taking taylor expansion of x in x 1.313 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.313 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.313 * [taylor]: Taking taylor expansion of 0.5 in x 1.313 * [taylor]: Taking taylor expansion of x in x 1.316 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sin x) (sin (* 0.5 x)))) in x 1.316 * [taylor]: Taking taylor expansion of 3.0 in x 1.316 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 1.316 * [taylor]: Taking taylor expansion of (sin x) in x 1.316 * [taylor]: Taking taylor expansion of x in x 1.316 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.316 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.316 * [taylor]: Taking taylor expansion of 0.5 in x 1.316 * [taylor]: Taking taylor expansion of x in x 1.350 * [approximate]: Taking taylor expansion of (* 3.0 (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) in (x) around 0 1.350 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) in x 1.350 * [taylor]: Taking taylor expansion of 3.0 in x 1.350 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 1.350 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.350 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.350 * [taylor]: Taking taylor expansion of x in x 1.350 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.350 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.350 * [taylor]: Taking taylor expansion of 0.5 in x 1.350 * [taylor]: Taking taylor expansion of x in x 1.351 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) in x 1.351 * [taylor]: Taking taylor expansion of 3.0 in x 1.351 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 1.351 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.351 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.351 * [taylor]: Taking taylor expansion of x in x 1.354 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.354 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.354 * [taylor]: Taking taylor expansion of 0.5 in x 1.354 * [taylor]: Taking taylor expansion of x in x 1.362 * [approximate]: Taking taylor expansion of (* 3.0 (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) in (x) around 0 1.362 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) in x 1.362 * [taylor]: Taking taylor expansion of 3.0 in x 1.362 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 1.362 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.362 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.362 * [taylor]: Taking taylor expansion of -1 in x 1.362 * [taylor]: Taking taylor expansion of x in x 1.362 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.362 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.362 * [taylor]: Taking taylor expansion of -0.5 in x 1.362 * [taylor]: Taking taylor expansion of x in x 1.363 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) in x 1.363 * [taylor]: Taking taylor expansion of 3.0 in x 1.363 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 1.363 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.363 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.363 * [taylor]: Taking taylor expansion of -1 in x 1.363 * [taylor]: Taking taylor expansion of x in x 1.363 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.363 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.363 * [taylor]: Taking taylor expansion of -0.5 in x 1.363 * [taylor]: Taking taylor expansion of x in x 1.371 * * * [progress]: simplifying candidates 1.373 * [simplify]: Simplifying using # : (- (+ (log 8.0) (log (sin (* x 0.5)))) (+ (- (log (sin x)) (log (sin (* 0.5 x)))) (log 3.0))) (- (+ (log 8.0) (log (sin (* x 0.5)))) (+ (log (/ (sin x) (sin (* 0.5 x)))) (log 3.0))) (- (+ (log 8.0) (log (sin (* x 0.5)))) (log (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (- (log (* 8.0 (sin (* x 0.5)))) (+ (- (log (sin x)) (log (sin (* 0.5 x)))) (log 3.0))) (- (log (* 8.0 (sin (* x 0.5)))) (+ (log (/ (sin x) (sin (* 0.5 x)))) (log 3.0))) (- (log (* 8.0 (sin (* x 0.5)))) (log (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (log (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (exp (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (/ (* (* (* 8.0 8.0) 8.0) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (/ (* (* (sin x) (sin x)) (sin x)) (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x)))) (* (* 3.0 3.0) 3.0))) (/ (* (* (* 8.0 8.0) 8.0) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* (* (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 x)))) (* (* 3.0 3.0) 3.0))) (/ (* (* (* 8.0 8.0) 8.0) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* (* (/ (sin x) (sin (* 0.5 x))) 3.0) (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (/ (* (* (* 8.0 (sin (* x 0.5))) (* 8.0 (sin (* x 0.5)))) (* 8.0 (sin (* x 0.5)))) (* (/ (* (* (sin x) (sin x)) (sin x)) (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x)))) (* (* 3.0 3.0) 3.0))) (/ (* (* (* 8.0 (sin (* x 0.5))) (* 8.0 (sin (* x 0.5)))) (* 8.0 (sin (* x 0.5)))) (* (* (* (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 x)))) (* (* 3.0 3.0) 3.0))) (/ (* (* (* 8.0 (sin (* x 0.5))) (* 8.0 (sin (* x 0.5)))) (* 8.0 (sin (* x 0.5)))) (* (* (* (/ (sin x) (sin (* 0.5 x))) 3.0) (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (* (cbrt (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (cbrt (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0)))) (cbrt (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (* (* (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (sqrt (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (sqrt (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (- (* 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)) (- (log (sin x)) (log (sin (* 0.5 x)))) (log (/ (sin x) (sin (* 0.5 x)))) (exp (/ (sin x) (sin (* 0.5 x)))) (/ (* (* (sin x) (sin x)) (sin x)) (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x)))) (* (cbrt (/ (sin x) (sin (* 0.5 x)))) (cbrt (/ (sin x) (sin (* 0.5 x))))) (cbrt (/ (sin x) (sin (* 0.5 x)))) (* (* (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 x)))) (sqrt (/ (sin x) (sin (* 0.5 x)))) (sqrt (/ (sin x) (sin (* 0.5 x)))) (- (sin x)) (- (sin (* 0.5 x))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (cbrt (sin x)) (cbrt (sin (* 0.5 x)))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (sin (* 0.5 x)))) (/ (cbrt (sin x)) (sqrt (sin (* 0.5 x)))) (/ (* (cbrt (sin x)) (cbrt (sin x))) 1) (/ (cbrt (sin x)) (sin (* 0.5 x))) (/ (sqrt (sin x)) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (sqrt (sin x)) (cbrt (sin (* 0.5 x)))) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (/ (sqrt (sin x)) 1) (/ (sqrt (sin x)) (sin (* 0.5 x))) (/ 1 (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (sin x) (cbrt (sin (* 0.5 x)))) (/ 1 (sqrt (sin (* 0.5 x)))) (/ (sin x) (sqrt (sin (* 0.5 x)))) (/ 1 1) (/ (sin x) (sin (* 0.5 x))) (/ 1 (sin (* 0.5 x))) (/ (sin (* 0.5 x)) (sin x)) (/ (sin x) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (sin x) (sqrt (sin (* 0.5 x)))) (/ (sin x) 1) (/ (sin (* 0.5 x)) (cbrt (sin x))) (/ (sin (* 0.5 x)) (sqrt (sin x))) (/ (sin (* 0.5 x)) (sin x)) (* (/ (sin x) (sin (* 0.5 x))) 3.0) (+ (- (log (sin x)) (log (sin (* 0.5 x)))) (log 3.0)) (+ (log (/ (sin x) (sin (* 0.5 x)))) (log 3.0)) (log (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (exp (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (* (/ (* (* (sin x) (sin x)) (sin x)) (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x)))) (* (* 3.0 3.0) 3.0)) (* (* (* (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 x)))) (* (* 3.0 3.0) 3.0)) (* (cbrt (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (cbrt (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (cbrt (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (* (* (* (/ (sin x) (sin (* 0.5 x))) 3.0) (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (sqrt (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (sqrt (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (* (sqrt (/ (sin x) (sin (* 0.5 x)))) (sqrt 3.0)) (* (sqrt (/ (sin x) (sin (* 0.5 x)))) (sqrt 3.0)) (* (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (sqrt 3.0)) (* (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (sqrt 3.0)) (* (/ (sin x) (sin (* 0.5 x))) (* (cbrt 3.0) (cbrt 3.0))) (* (/ (sin x) (sin (* 0.5 x))) (sqrt 3.0)) (* (/ (sin x) (sin (* 0.5 x))) 1) (* (cbrt (/ (sin x) (sin (* 0.5 x)))) 3.0) (* (sqrt (/ (sin x) (sin (* 0.5 x)))) 3.0) (* (/ (cbrt (sin x)) (cbrt (sin (* 0.5 x)))) 3.0) (* (/ (cbrt (sin x)) (sqrt (sin (* 0.5 x)))) 3.0) (* (/ (cbrt (sin x)) (sin (* 0.5 x))) 3.0) (* (/ (sqrt (sin x)) (cbrt (sin (* 0.5 x)))) 3.0) (* (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) 3.0) (* (/ (sqrt (sin x)) (sin (* 0.5 x))) 3.0) (* (/ (sin x) (cbrt (sin (* 0.5 x)))) 3.0) (* (/ (sin x) (sqrt (sin (* 0.5 x)))) 3.0) (* (/ (sin x) (sin (* 0.5 x))) 3.0) (* (/ (sin x) (sin (* 0.5 x))) 3.0) (* (/ 1 (sin (* 0.5 x))) 3.0) (* (sin x) 3.0) (+ (* 0.05555555555555555 (pow x 3)) (+ (* 0.005555555555555554 (pow x 5)) (* 0.6666666666666666 x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (- (+ (* 0.005208333333333334 (pow x 4)) 2.0) (* 0.25 (pow x 2))) (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x))) (- (+ (* 0.015625 (pow x 4)) 6.0) (* 0.75 (pow x 2))) (* 3.0 (/ (sin x) (sin (* 0.5 x)))) (* 3.0 (/ (sin x) (sin (* 0.5 x)))) 1.380 * * [simplify]: iteration 0 : 423 enodes (cost 884 ) 1.390 * * [simplify]: iteration 1 : 2225 enodes (cost 705 ) 1.426 * * [simplify]: iteration 2 : 5001 enodes (cost 686 ) 1.429 * [simplify]: Simplified to: (+ (log (/ (pow (sin (* 0.5 x)) 2) (sin x))) (log (/ 8.0 3.0))) (+ (log (/ (pow (sin (* 0.5 x)) 2) (sin x))) (log (/ 8.0 3.0))) (+ (log (/ (pow (sin (* 0.5 x)) 2) (sin x))) (log (/ 8.0 3.0))) (+ (log (/ (pow (sin (* 0.5 x)) 2) (sin x))) (log (/ 8.0 3.0))) (+ (log (/ (pow (sin (* 0.5 x)) 2) (sin x))) (log (/ 8.0 3.0))) (+ (log (/ (pow (sin (* 0.5 x)) 2) (sin x))) (log (/ 8.0 3.0))) (+ (log (/ (pow (sin (* 0.5 x)) 2) (sin x))) (log (/ 8.0 3.0))) (pow (exp (/ (pow (sin (* 0.5 x)) 2) (sin x))) (/ 8.0 3.0)) (* (pow (/ (pow (sin (* 0.5 x)) 2) (sin x)) 3) (pow (/ 8.0 3.0) 3)) (* (pow (/ (pow (sin (* 0.5 x)) 2) (sin x)) 3) (pow (/ 8.0 3.0) 3)) (* (pow (/ (pow (sin (* 0.5 x)) 2) (sin x)) 3) (pow (/ 8.0 3.0) 3)) (* (pow (/ (pow (sin (* 0.5 x)) 2) (sin x)) 3) (pow (/ 8.0 3.0) 3)) (* (pow (/ (pow (sin (* 0.5 x)) 2) (sin x)) 3) (pow (/ 8.0 3.0) 3)) (* (pow (/ (pow (sin (* 0.5 x)) 2) (sin x)) 3) (pow (/ 8.0 3.0) 3)) (* (cbrt (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (cbrt (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0)))) (cbrt (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (* (pow (/ (pow (sin (* 0.5 x)) 2) (sin x)) 3) (pow (/ 8.0 3.0) 3)) (sqrt (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (sqrt (/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (- (* 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)) (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)) (pow (sin (* 0.5 x)) 1/2)) (* (cbrt (sin x)) (cbrt (sin x))) (/ (cbrt (sin x)) (sin (* 0.5 x))) (/ (sqrt (sin x)) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (sqrt (sin x)) (cbrt (sin (* 0.5 x)))) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (sqrt (sin x)) (/ (sqrt (sin x)) (sin (* 0.5 x))) (/ 1 (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (sin x) (cbrt (sin (* 0.5 x)))) (/ 1 (sqrt (sin (* 0.5 x)))) (/ (sin x) (sqrt (sin (* 0.5 x)))) 1 (/ (sin x) (sin (* 0.5 x))) (/ 1 (sin (* 0.5 x))) (/ (sin (* 0.5 x)) (sin x)) (/ (sin x) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x))))) (/ (sin x) (sqrt (sin (* 0.5 x)))) (sin x) (/ (sin (* 0.5 x)) (cbrt (sin x))) (/ (sin (* 0.5 x)) (sqrt (sin x))) (/ (sin (* 0.5 x)) (sin x)) (* (/ (sin x) (sin (* 0.5 x))) 3.0) (log (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (log (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (log (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (exp (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (pow (* (/ (sin x) (sin (* 0.5 x))) 3.0) 3) (pow (* (/ (sin x) (sin (* 0.5 x))) 3.0) 3) (* (cbrt (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (cbrt (* (/ (sin x) (sin (* 0.5 x))) 3.0))) (cbrt (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (pow (* (/ (sin x) (sin (* 0.5 x))) 3.0) 3) (sqrt (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (sqrt (* (/ (sin x) (sin (* 0.5 x))) 3.0)) (* (sqrt (/ (sin x) (sin (* 0.5 x)))) (sqrt 3.0)) (* (sqrt (/ (sin x) (sin (* 0.5 x)))) (sqrt 3.0)) (* (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (sqrt 3.0)) (* (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) (sqrt 3.0)) (* (/ (sin x) (sin (* 0.5 x))) (* (cbrt 3.0) (cbrt 3.0))) (* (/ (sin x) (sin (* 0.5 x))) (sqrt 3.0)) (/ (sin x) (sin (* 0.5 x))) (* (cbrt (/ (sin x) (sin (* 0.5 x)))) 3.0) (* (sqrt (/ (sin x) (sin (* 0.5 x)))) 3.0) (* (/ (cbrt (sin x)) (cbrt (sin (* 0.5 x)))) 3.0) (* (/ (cbrt (sin x)) (sqrt (sin (* 0.5 x)))) 3.0) (* (/ (cbrt (sin x)) (sin (* 0.5 x))) 3.0) (* (/ (sqrt (sin x)) (cbrt (sin (* 0.5 x)))) 3.0) (* (/ (sqrt (sin x)) (sqrt (sin (* 0.5 x)))) 3.0) (* (/ (sqrt (sin x)) (sin (* 0.5 x))) 3.0) (* (/ (sin x) (cbrt (sin (* 0.5 x)))) 3.0) (* (/ (sin x) (sqrt (sin (* 0.5 x)))) 3.0) (* (/ (sin x) (sin (* 0.5 x))) 3.0) (* (/ (sin x) (sin (* 0.5 x))) 3.0) (/ 3.0 (sin (* x 0.5))) (* (sin x) 3.0) (+ (* 0.05555555555555555 (pow x 3)) (+ (* 0.005555555555555554 (pow x 5)) (* 0.6666666666666666 x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (- (+ (* 0.005208333333333334 (pow x 4)) 2.0) (* 0.25 (pow x 2))) (/ (sin x) (sin (* 0.5 x))) (/ (sin x) (sin (* 0.5 x))) (- (+ (* 0.015625 (pow x 4)) 6.0) (* 0.75 (pow x 2))) (* (/ (sin x) (sin (* 0.5 x))) 3.0) (* (/ (sin x) (sin (* 0.5 x))) 3.0) 1.430 * * * [progress]: adding candidates to table 1.648 * * [progress]: iteration 4 / 4 1.648 * * * [progress]: picking best candidate 1.669 * * * * [pick]: Picked # 1.669 * * * [progress]: localizing error 1.684 * * * [progress]: generating rewritten candidates 1.684 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 1.704 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 2 1) 1.708 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2) 1.727 * * * [progress]: generating series expansions 1.728 * * * * [progress]: [ 1 / 3 ] generating series at (2) 1.728 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in (x) around 0 1.728 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 1.728 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.728 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 1.728 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 1.728 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.728 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.728 * [taylor]: Taking taylor expansion of 0.5 in x 1.729 * [taylor]: Taking taylor expansion of x in x 1.731 * [taylor]: Taking taylor expansion of (sin x) in x 1.731 * [taylor]: Taking taylor expansion of x in x 1.732 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 1.732 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.732 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 1.732 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 1.732 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.733 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.733 * [taylor]: Taking taylor expansion of 0.5 in x 1.733 * [taylor]: Taking taylor expansion of x in x 1.735 * [taylor]: Taking taylor expansion of (sin x) in x 1.735 * [taylor]: Taking taylor expansion of x in x 1.771 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in (x) around 0 1.771 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 1.771 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.771 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 1.771 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 1.771 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.771 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.771 * [taylor]: Taking taylor expansion of 0.5 in x 1.771 * [taylor]: Taking taylor expansion of x in x 1.771 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.771 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.771 * [taylor]: Taking taylor expansion of x in x 1.772 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 1.772 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.772 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 1.772 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 1.772 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.772 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.772 * [taylor]: Taking taylor expansion of 0.5 in x 1.772 * [taylor]: Taking taylor expansion of x in x 1.772 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.772 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.772 * [taylor]: Taking taylor expansion of x in x 1.785 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in (x) around 0 1.786 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 1.786 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.786 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 1.786 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 1.786 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.786 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.786 * [taylor]: Taking taylor expansion of -0.5 in x 1.786 * [taylor]: Taking taylor expansion of x in x 1.786 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.786 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.786 * [taylor]: Taking taylor expansion of -1 in x 1.786 * [taylor]: Taking taylor expansion of x in x 1.787 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 1.787 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.787 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 1.787 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 1.787 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.787 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.787 * [taylor]: Taking taylor expansion of -0.5 in x 1.787 * [taylor]: Taking taylor expansion of x in x 1.787 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.787 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.787 * [taylor]: Taking taylor expansion of -1 in x 1.787 * [taylor]: Taking taylor expansion of x in x 1.800 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 2 1) 1.800 * [approximate]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in (x) around 0 1.800 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 1.801 * [taylor]: Taking taylor expansion of (sin x) in x 1.801 * [taylor]: Taking taylor expansion of x in x 1.801 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.801 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.801 * [taylor]: Taking taylor expansion of 0.5 in x 1.801 * [taylor]: Taking taylor expansion of x in x 1.808 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 1.808 * [taylor]: Taking taylor expansion of (sin x) in x 1.808 * [taylor]: Taking taylor expansion of x in x 1.808 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.808 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.808 * [taylor]: Taking taylor expansion of 0.5 in x 1.808 * [taylor]: Taking taylor expansion of x in x 1.836 * [approximate]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in (x) around 0 1.836 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 1.836 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.836 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.836 * [taylor]: Taking taylor expansion of x in x 1.836 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.836 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.836 * [taylor]: Taking taylor expansion of 0.5 in x 1.837 * [taylor]: Taking taylor expansion of x in x 1.837 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 1.837 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.837 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.837 * [taylor]: Taking taylor expansion of x in x 1.837 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.837 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.837 * [taylor]: Taking taylor expansion of 0.5 in x 1.837 * [taylor]: Taking taylor expansion of x in x 1.840 * [approximate]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in (x) around 0 1.840 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 1.840 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.840 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.840 * [taylor]: Taking taylor expansion of -1 in x 1.840 * [taylor]: Taking taylor expansion of x in x 1.840 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.840 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.840 * [taylor]: Taking taylor expansion of -0.5 in x 1.840 * [taylor]: Taking taylor expansion of x in x 1.841 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 1.841 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.841 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.841 * [taylor]: Taking taylor expansion of -1 in x 1.841 * [taylor]: Taking taylor expansion of x in x 1.841 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.841 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.841 * [taylor]: Taking taylor expansion of -0.5 in x 1.841 * [taylor]: Taking taylor expansion of x in x 1.843 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2) 1.844 * [approximate]: Taking taylor expansion of (* 3.0 (/ (sin x) (sin (* 0.5 x)))) in (x) around 0 1.844 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sin x) (sin (* 0.5 x)))) in x 1.844 * [taylor]: Taking taylor expansion of 3.0 in x 1.844 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 1.844 * [taylor]: Taking taylor expansion of (sin x) in x 1.844 * [taylor]: Taking taylor expansion of x in x 1.844 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.844 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.844 * [taylor]: Taking taylor expansion of 0.5 in x 1.844 * [taylor]: Taking taylor expansion of x in x 1.847 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sin x) (sin (* 0.5 x)))) in x 1.847 * [taylor]: Taking taylor expansion of 3.0 in x 1.847 * [taylor]: Taking taylor expansion of (/ (sin x) (sin (* 0.5 x))) in x 1.847 * [taylor]: Taking taylor expansion of (sin x) in x 1.847 * [taylor]: Taking taylor expansion of x in x 1.847 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.847 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.847 * [taylor]: Taking taylor expansion of 0.5 in x 1.847 * [taylor]: Taking taylor expansion of x in x 1.880 * [approximate]: Taking taylor expansion of (* 3.0 (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) in (x) around 0 1.880 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) in x 1.880 * [taylor]: Taking taylor expansion of 3.0 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 x in x 1.881 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.881 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.881 * [taylor]: Taking taylor expansion of 0.5 in x 1.881 * [taylor]: Taking taylor expansion of x in x 1.881 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sin (/ 1 x)) (sin (/ 0.5 x)))) in x 1.881 * [taylor]: Taking taylor expansion of 3.0 in x 1.881 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (sin (/ 0.5 x))) in x 1.881 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.881 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.881 * [taylor]: Taking taylor expansion of x in x 1.881 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.881 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.881 * [taylor]: Taking taylor expansion of 0.5 in x 1.882 * [taylor]: Taking taylor expansion of x in x 1.893 * [approximate]: Taking taylor expansion of (* 3.0 (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) in (x) around 0 1.893 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) in x 1.893 * [taylor]: Taking taylor expansion of 3.0 in x 1.893 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 1.893 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.893 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.893 * [taylor]: Taking taylor expansion of -1 in x 1.893 * [taylor]: Taking taylor expansion of x in x 1.893 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.893 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.893 * [taylor]: Taking taylor expansion of -0.5 in x 1.893 * [taylor]: Taking taylor expansion of x in x 1.894 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sin (/ -1 x)) (sin (/ -0.5 x)))) in x 1.894 * [taylor]: Taking taylor expansion of 3.0 in x 1.894 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (sin (/ -0.5 x))) in x 1.894 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.894 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.894 * [taylor]: Taking taylor expansion of -1 in x 1.894 * [taylor]: Taking taylor expansion of x in x 1.894 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.894 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.894 * [taylor]: Taking taylor expansion of -0.5 in x 1.894 * [taylor]: Taking taylor expansion of x in x 1.903 * * * [progress]: simplifying candidates 1.905 * [simplify]: Simplifying using # : (- (+ (log 8.0) (log (sin (* x 0.5)))) (+ (- 0) (+ (- (log (sin x)) 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(sin (* 0.5 x))) 3.0) (* (/ (sin x) (sin (* 0.5 x))) 3.0) 1.988 * * * [progress]: adding candidates to table 2.224 * [progress]: [Phase 3 of 3] Extracting. 2.224 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 2.226 * * * [regime-changes]: Trying 1 branch expressions: (x) 2.226 * * * * [regimes]: Trying to branch on x from (# # # # # # # # #) 2.260 * * * [regime]: Found split indices: #