10.884 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.058 * * * [progress]: [2/2] Setting up program. 0.060 * [progress]: [Phase 2 of 3] Improving. 0.061 * [simplify]: Simplifying using # : (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x)) 0.064 * * [simplify]: iteration 0 : 20 enodes (cost 9 ) 0.065 * * [simplify]: iteration 1 : 43 enodes (cost 9 ) 0.067 * * [simplify]: iteration 2 : 93 enodes (cost 9 ) 0.070 * * [simplify]: iteration 3 : 174 enodes (cost 9 ) 0.073 * * [simplify]: iteration 4 : 269 enodes (cost 9 ) 0.076 * * [simplify]: iteration 5 : 288 enodes (cost 9 ) 0.080 * * [simplify]: iteration 6 : 288 enodes (cost 9 ) 0.080 * [simplify]: Simplified to: (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x)) 0.081 * * [progress]: iteration 1 / 4 0.081 * * * [progress]: picking best candidate 0.083 * * * * [pick]: Picked # 0.083 * * * [progress]: localizing error 0.094 * * * [progress]: generating rewritten candidates 0.094 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.105 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.112 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.123 * * * [progress]: generating series expansions 0.124 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.125 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in (x) around 0 0.125 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.125 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.125 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 0.125 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.125 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.125 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.125 * [taylor]: Taking taylor expansion of 0.5 in x 0.125 * [taylor]: Taking taylor expansion of x in x 0.128 * [taylor]: Taking taylor expansion of (sin x) in x 0.128 * [taylor]: Taking taylor expansion of x in x 0.129 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.129 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.129 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 0.129 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.129 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.129 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.129 * [taylor]: Taking taylor expansion of 0.5 in x 0.129 * [taylor]: Taking taylor expansion of x in x 0.132 * [taylor]: Taking taylor expansion of (sin x) in x 0.132 * [taylor]: Taking taylor expansion of x in x 0.172 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in (x) around 0 0.172 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 0.172 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.172 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 0.172 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.172 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.172 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.172 * [taylor]: Taking taylor expansion of 0.5 in x 0.172 * [taylor]: Taking taylor expansion of x in x 0.172 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.172 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.172 * [taylor]: Taking taylor expansion of x in x 0.173 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 0.173 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.173 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 0.173 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.173 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.173 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.173 * [taylor]: Taking taylor expansion of 0.5 in x 0.173 * [taylor]: Taking taylor expansion of x in x 0.173 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.173 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.173 * [taylor]: Taking taylor expansion of x in x 0.188 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in (x) around 0 0.188 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.189 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.189 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 0.189 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.189 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.189 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.189 * [taylor]: Taking taylor expansion of -0.5 in x 0.189 * [taylor]: Taking taylor expansion of x in x 0.189 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.189 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.189 * [taylor]: Taking taylor expansion of -1 in x 0.189 * [taylor]: Taking taylor expansion of x in x 0.190 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.190 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.190 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 0.190 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.190 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.190 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.190 * [taylor]: Taking taylor expansion of -0.5 in x 0.190 * [taylor]: Taking taylor expansion of x in x 0.190 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.190 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.190 * [taylor]: Taking taylor expansion of -1 in x 0.190 * [taylor]: Taking taylor expansion of x in x 0.203 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.204 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in (x) around 0 0.204 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 0.204 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.204 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.204 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.204 * [taylor]: Taking taylor expansion of 0.5 in x 0.204 * [taylor]: Taking taylor expansion of x in x 0.205 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 0.205 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.205 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.205 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.205 * [taylor]: Taking taylor expansion of 0.5 in x 0.205 * [taylor]: Taking taylor expansion of x in x 0.228 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in (x) around 0 0.228 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 0.228 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.228 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.228 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.228 * [taylor]: Taking taylor expansion of 0.5 in x 0.228 * [taylor]: Taking taylor expansion of x in x 0.228 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 0.228 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.228 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.228 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.228 * [taylor]: Taking taylor expansion of 0.5 in x 0.228 * [taylor]: Taking taylor expansion of x in x 0.235 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in (x) around 0 0.235 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 0.235 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.235 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.235 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.235 * [taylor]: Taking taylor expansion of -0.5 in x 0.235 * [taylor]: Taking taylor expansion of x in x 0.236 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 0.236 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.236 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.236 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.236 * [taylor]: Taking taylor expansion of -0.5 in x 0.236 * [taylor]: Taking taylor expansion of x in x 0.242 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.243 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (* 0.5 x)) 2)) in (x) around 0 0.243 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (* 0.5 x)) 2)) in x 0.243 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.243 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.243 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.243 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.243 * [taylor]: Taking taylor expansion of 0.5 in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.246 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (* 0.5 x)) 2)) in x 0.246 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.246 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.246 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.246 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.246 * [taylor]: Taking taylor expansion of 0.5 in x 0.246 * [taylor]: Taking taylor expansion of x in x 0.279 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ 0.5 x)) 2)) in (x) around 0 0.279 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ 0.5 x)) 2)) in x 0.279 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.279 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.279 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.279 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.279 * [taylor]: Taking taylor expansion of 0.5 in x 0.279 * [taylor]: Taking taylor expansion of x in x 0.279 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ 0.5 x)) 2)) in x 0.279 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.279 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.279 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.279 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.279 * [taylor]: Taking taylor expansion of 0.5 in x 0.279 * [taylor]: Taking taylor expansion of x in x 0.291 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ -0.5 x)) 2)) in (x) around 0 0.291 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ -0.5 x)) 2)) in x 0.291 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.291 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.292 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.292 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.292 * [taylor]: Taking taylor expansion of -0.5 in x 0.292 * [taylor]: Taking taylor expansion of x in x 0.292 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (pow (sin (/ -0.5 x)) 2)) in x 0.292 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.292 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.292 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.292 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.292 * [taylor]: Taking taylor expansion of -0.5 in x 0.292 * [taylor]: Taking taylor expansion of x in x 0.303 * * * [progress]: simplifying candidates 0.305 * [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)) 0.313 * * [simplify]: iteration 0 : 412 enodes (cost 862 ) 0.325 * * [simplify]: iteration 1 : 2127 enodes (cost 656 ) 0.367 * * [simplify]: iteration 2 : 5001 enodes (cost 637 ) 0.371 * [simplify]: Simplified to: (expm1 (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))) (log1p (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))) (- (log (/ 8.0 3.0)) (log (/ (sin x) (pow (sin (* 0.5 x)) 2)))) (- (log (/ 8.0 3.0)) (log (/ (sin x) (pow (sin (* 0.5 x)) 2)))) (- (log (/ 8.0 3.0)) (log (/ (sin x) (pow (sin (* 0.5 x)) 2)))) (- (log (/ 8.0 3.0)) (log (/ (sin x) (pow (sin (* 0.5 x)) 2)))) (- (log (/ 8.0 3.0)) (log (/ (sin x) (pow (sin (* 0.5 x)) 2)))) (exp (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))) (/ 1 (pow (/ (/ (sin x) (/ 8.0 3.0)) (pow (sin (* 0.5 x)) 2)) 3)) (/ 1 (pow (/ (/ (sin x) (/ 8.0 3.0)) (pow (sin (* 0.5 x)) 2)) 3)) (/ 1 (pow (/ (/ (sin x) (/ 8.0 3.0)) (pow (sin (* 0.5 x)) 2)) 3)) (/ 1 (pow (/ (/ (sin x) (/ 8.0 3.0)) (pow (sin (* 0.5 x)) 2)) 3)) (* (cbrt (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))) (cbrt (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x)))) (cbrt (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))) (/ 1 (pow (/ (/ (sin x) (/ 8.0 3.0)) (pow (sin (* 0.5 x)) 2)) 3)) (sqrt (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))) (sqrt (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))) (* (- (/ 8.0 3.0)) (pow (sin (* 0.5 x)) 2)) (- (sin x)) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sin (* 0.5 x)) (cbrt (sin x))) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (sqrt (sin x))) (/ (sin (* 0.5 x)) (sqrt (sin x))) (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)) (/ 1 (sin x)) (/ (/ (sin x) (/ 8.0 3.0)) (pow (sin (* 0.5 x)) 2)) (* (/ (/ 8.0 3.0) (cbrt (sin x))) (/ (pow (sin (* 0.5 x)) 2) (cbrt (sin x)))) (/ (/ 8.0 3.0) (/ (sqrt (sin x)) (pow (sin (* 0.5 x)) 2))) (* (pow (sin (* 0.5 x)) 2) (/ 8.0 3.0)) (/ (sin x) (sin (* 0.5 x))) (* (sin x) 3.0) (expm1 (* (/ 8.0 3.0) (sin (* x 0.5)))) (log1p (* (/ 8.0 3.0) (sin (* x 0.5)))) (* (/ 8.0 3.0) (sin (* x 0.5))) (log (* (/ 8.0 3.0) (sin (* x 0.5)))) (log (* (/ 8.0 3.0) (sin (* x 0.5)))) (log (* (/ 8.0 3.0) (sin (* x 0.5)))) (exp (* (/ 8.0 3.0) (sin (* x 0.5)))) (pow (* (/ 8.0 3.0) (sin (* x 0.5))) 3) (pow (* (/ 8.0 3.0) (sin (* x 0.5))) 3) (* (cbrt (* (/ 8.0 3.0) (sin (* x 0.5)))) (cbrt (* (/ 8.0 3.0) (sin (* x 0.5))))) (cbrt (* (/ 8.0 3.0) (sin (* x 0.5)))) (pow (* (/ 8.0 3.0) (sin (* x 0.5))) 3) (sqrt (* (/ 8.0 3.0) (sin (* x 0.5)))) (sqrt (* (/ 8.0 3.0) (sin (* x 0.5)))) (* (sqrt (/ 8.0 3.0)) (sqrt (sin (* x 0.5)))) (* (sqrt (/ 8.0 3.0)) (sqrt (sin (* x 0.5)))) (* (/ (sqrt 8.0) (sqrt 3.0)) (sqrt (sin (* x 0.5)))) (* (/ (sqrt 8.0) (sqrt 3.0)) (sqrt (sin (* x 0.5)))) (* (/ 8.0 3.0) (* (cbrt (sin (* x 0.5))) (cbrt (sin (* x 0.5))))) (* (/ 8.0 3.0) (sqrt (sin (* x 0.5)))) (/ 8.0 3.0) (* (cbrt (/ 8.0 3.0)) (sin (* x 0.5))) (* (sqrt (/ 8.0 3.0)) (sin (* x 0.5))) (* (/ (cbrt 8.0) (cbrt 3.0)) (sin (* x 0.5))) (* (/ (cbrt 8.0) (sqrt 3.0)) (sin (* x 0.5))) (* (/ (cbrt 8.0) 3.0) (sin (* x 0.5))) (* (/ (sqrt 8.0) (cbrt 3.0)) (sin (* x 0.5))) (* (/ (sqrt 8.0) (sqrt 3.0)) (sin (* x 0.5))) (* (/ (sqrt 8.0) 3.0) (sin (* x 0.5))) (* (/ 8.0 (cbrt 3.0)) (sin (* x 0.5))) (* (/ 8.0 (sqrt 3.0)) (sin (* x 0.5))) (* (/ 8.0 3.0) (sin (* x 0.5))) (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) 3.0) (* 8.0 (sin (* x 0.5))) (expm1 (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))) (log1p (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))) (* (pow (sin (* 0.5 x)) 2) (/ 8.0 3.0)) (* (pow (sin (* 0.5 x)) 2) (/ 8.0 3.0)) (fma 2 (log (sin (* 0.5 x))) (log (/ 8.0 3.0))) (fma 2 (log (sin (* 0.5 x))) (log (/ 8.0 3.0))) (fma 2 (log (sin (* 0.5 x))) (log (/ 8.0 3.0))) (fma 2 (log (sin (* 0.5 x))) (log (/ 8.0 3.0))) (pow (exp (/ 8.0 3.0)) (pow (sin (* 0.5 x)) 2)) (/ (pow (* (pow (sin (* 0.5 x)) 2) 8.0) 3) (pow 3.0 3)) (/ (pow (* (pow (sin (* 0.5 x)) 2) 8.0) 3) (pow 3.0 3)) (/ (pow (* (pow (sin (* 0.5 x)) 2) 8.0) 3) (pow 3.0 3)) (* (cbrt (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))) (cbrt (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))))) (cbrt (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))) (/ (pow (* (pow (sin (* 0.5 x)) 2) 8.0) 3) (pow 3.0 3)) (sqrt (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))) (sqrt (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* (/ 8.0 3.0) (sin (* x 0.5))) (* (cbrt (sin (* x 0.5))) (cbrt (sin (* x 0.5))))) (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sqrt (sin (* x 0.5)))) (* (/ 8.0 3.0) (sin (* x 0.5))) (pow (sin (* 0.5 x)) 2) (* (pow (sin (* 0.5 x)) 2) 8.0) (fma 0.05555555555555555 (pow x 3) (fma 0.005555555555555554 (pow x 5) (* 0.6666666666666666 x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (fma x 1.3333333333333333 (- (* 0.0006944444444444444 (pow x 5)) (* 0.05555555555555555 (pow x 3)))) (* 2.6666666666666665 (sin (* 0.5 x))) (* 2.6666666666666665 (sin (* 0.5 x))) (fma (pow x 2) 0.6666666666666666 (- (* 0.0018518518518518515 (pow x 6)) (* 0.05555555555555555 (pow x 4)))) (* 2.6666666666666665 (pow (sin (* 0.5 x)) 2)) (* 2.6666666666666665 (pow (sin (* 0.5 x)) 2)) 0.372 * * * [progress]: adding candidates to table 0.583 * * [progress]: iteration 2 / 4 0.583 * * * [progress]: picking best candidate 0.621 * * * * [pick]: Picked # 0.621 * * * [progress]: localizing error 0.635 * * * [progress]: generating rewritten candidates 0.635 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.642 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.653 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.661 * * * [progress]: generating series expansions 0.661 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.662 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in (x) around 0 0.662 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 0.662 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.662 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.662 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.662 * [taylor]: Taking taylor expansion of 0.5 in x 0.662 * [taylor]: Taking taylor expansion of x in x 0.663 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (* 0.5 x))) in x 0.663 * [taylor]: Taking taylor expansion of 2.6666666666666665 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 0.687 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in (x) around 0 0.687 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 0.687 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.687 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.687 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.687 * [taylor]: Taking taylor expansion of 0.5 in x 0.687 * [taylor]: Taking taylor expansion of x in x 0.688 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ 0.5 x))) in x 0.688 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.688 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.688 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.688 * [taylor]: Taking taylor expansion of 0.5 in x 0.688 * [taylor]: Taking taylor expansion of x in x 0.694 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in (x) around 0 0.694 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 0.694 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.694 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.694 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.694 * [taylor]: Taking taylor expansion of -0.5 in x 0.694 * [taylor]: Taking taylor expansion of x in x 0.694 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (sin (/ -0.5 x))) in x 0.695 * [taylor]: Taking taylor expansion of 2.6666666666666665 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 0.700 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.701 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in (x) around 0 0.701 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.701 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.701 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 0.701 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.701 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.701 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.701 * [taylor]: Taking taylor expansion of 0.5 in x 0.701 * [taylor]: Taking taylor expansion of x in x 0.704 * [taylor]: Taking taylor expansion of (sin x) in x 0.704 * [taylor]: Taking taylor expansion of x in x 0.705 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 0.705 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.705 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 0.705 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 0.705 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.705 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.705 * [taylor]: Taking taylor expansion of 0.5 in x 0.705 * [taylor]: Taking taylor expansion of x in x 0.708 * [taylor]: Taking taylor expansion of (sin x) in x 0.708 * [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 0.747 * [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 0.747 * [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 0.748 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 0.748 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 0.748 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.748 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.748 * [taylor]: Taking taylor expansion of 0.5 in x 0.748 * [taylor]: Taking taylor expansion of x in x 0.748 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.748 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.748 * [taylor]: Taking taylor expansion of x in x 0.766 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in (x) around 0 0.766 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.766 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.766 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 0.766 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.766 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.766 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.766 * [taylor]: Taking taylor expansion of -0.5 in x 0.766 * [taylor]: Taking taylor expansion of x in x 0.767 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.767 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.767 * [taylor]: Taking taylor expansion of -1 in x 0.767 * [taylor]: Taking taylor expansion of x in x 0.767 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 0.767 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 0.768 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 0.768 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 0.768 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.768 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.768 * [taylor]: Taking taylor expansion of -0.5 in x 0.768 * [taylor]: Taking taylor expansion of x in x 0.768 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.768 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.768 * [taylor]: Taking taylor expansion of -1 in x 0.768 * [taylor]: Taking taylor expansion of x in x 0.782 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.782 * [approximate]: Taking taylor expansion of (/ (sin (* 0.5 x)) (sin x)) in (x) around 0 0.782 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 x)) (sin x)) in x 0.782 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.782 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.782 * [taylor]: Taking taylor expansion of 0.5 in x 0.782 * [taylor]: Taking taylor expansion of x in x 0.784 * [taylor]: Taking taylor expansion of (sin x) in x 0.784 * [taylor]: Taking taylor expansion of x in x 0.786 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 x)) (sin x)) in x 0.786 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 0.786 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.786 * [taylor]: Taking taylor expansion of 0.5 in x 0.786 * [taylor]: Taking taylor expansion of x in x 0.787 * [taylor]: Taking taylor expansion of (sin x) in x 0.787 * [taylor]: Taking taylor expansion of x in x 0.814 * [approximate]: Taking taylor expansion of (/ (sin (/ 0.5 x)) (sin (/ 1 x))) in (x) around 0 0.814 * [taylor]: Taking taylor expansion of (/ (sin (/ 0.5 x)) (sin (/ 1 x))) in x 0.814 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.814 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.814 * [taylor]: Taking taylor expansion of 0.5 in x 0.814 * [taylor]: Taking taylor expansion of x in x 0.814 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.814 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.814 * [taylor]: Taking taylor expansion of x in x 0.815 * [taylor]: Taking taylor expansion of (/ (sin (/ 0.5 x)) (sin (/ 1 x))) in x 0.815 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 0.815 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.815 * [taylor]: Taking taylor expansion of 0.5 in x 0.815 * [taylor]: Taking taylor expansion of x in x 0.815 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.815 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.815 * [taylor]: Taking taylor expansion of x in x 0.818 * [approximate]: Taking taylor expansion of (/ (sin (/ -0.5 x)) (sin (/ -1 x))) in (x) around 0 0.818 * [taylor]: Taking taylor expansion of (/ (sin (/ -0.5 x)) (sin (/ -1 x))) in x 0.818 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.818 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.818 * [taylor]: Taking taylor expansion of -0.5 in x 0.818 * [taylor]: Taking taylor expansion of x in x 0.818 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.818 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.818 * [taylor]: Taking taylor expansion of -1 in x 0.818 * [taylor]: Taking taylor expansion of x in x 0.819 * [taylor]: Taking taylor expansion of (/ (sin (/ -0.5 x)) (sin (/ -1 x))) in x 0.819 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 0.819 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 0.819 * [taylor]: Taking taylor expansion of -0.5 in x 0.819 * [taylor]: Taking taylor expansion of x in x 0.819 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.819 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.819 * [taylor]: Taking taylor expansion of -1 in x 0.819 * [taylor]: Taking taylor expansion of x in x 0.822 * * * [progress]: simplifying candidates 0.823 * [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 (* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))) (log1p (* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))) (* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x))) (* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x))) (+ (+ (- (log 8.0) (log 3.0)) (log (sin (* x 0.5)))) (- (log (sin (* 0.5 x))) (log (sin x)))) (+ (+ (- (log 8.0) (log 3.0)) (log (sin (* x 0.5)))) (log (/ (sin (* 0.5 x)) (sin x)))) (+ (+ (log (/ 8.0 3.0)) (log (sin (* x 0.5)))) (- (log (sin (* 0.5 x))) (log (sin x)))) (+ (+ (log (/ 8.0 3.0)) (log (sin (* x 0.5)))) (log (/ 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(cbrt (sin x))) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (sqrt (sin x))) (/ (cbrt (sin (* 0.5 x))) (sqrt (sin x))) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) 1) (/ (cbrt (sin (* 0.5 x))) (sin x)) (/ (sqrt (sin (* 0.5 x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (sin (* 0.5 x))) (cbrt (sin x))) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x))) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x))) (/ (sqrt (sin (* 0.5 x))) 1) (/ (sqrt (sin (* 0.5 x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sin (* 0.5 x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (sin (* 0.5 x)) (sqrt (sin x))) (/ 1 1) (/ (sin (* 0.5 x)) (sin x)) (/ 1 (sin x)) (/ (sin x) (sin (* 0.5 x))) (/ (sin (* 0.5 x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sin (* 0.5 x)) (sqrt (sin x))) (/ (sin (* 0.5 x)) 1) (/ (sin x) (cbrt (sin (* 0.5 x)))) (/ (sin x) (sqrt (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 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))) (+ (* 0.05555555555555555 (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))) (+ (* 0.0625 (pow x 2)) (+ (* 0.006510416666666666 (pow x 4)) 0.5)) (/ (sin (* 0.5 x)) (sin x)) (/ (sin (* 0.5 x)) (sin x)) 0.833 * * [simplify]: iteration 0 : 474 enodes (cost 1006 ) 0.847 * * [simplify]: iteration 1 : 2505 enodes (cost 814 ) 0.892 * * [simplify]: iteration 2 : 5001 enodes (cost 799 ) 0.897 * [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 (* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))) (log1p (* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))) (/ (* 8.0 (/ (pow (sin (* 0.5 x)) 2) (sin x))) 3.0) (/ (* 8.0 (/ (pow (sin (* 0.5 x)) 2) (sin x))) 3.0) (+ (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)) (log (/ (pow (sin (* 0.5 x)) 2) (sin x)))) (pow (exp (/ 8.0 3.0)) (/ (pow (sin (* 0.5 x)) 2) (sin x))) (pow (/ (* 8.0 (/ (pow (sin (* 0.5 x)) 2) (sin x))) 3.0) 3) (pow (/ (* 8.0 (/ (pow (sin (* 0.5 x)) 2) (sin x))) 3.0) 3) (pow (/ (* 8.0 (/ (pow (sin (* 0.5 x)) 2) (sin x))) 3.0) 3) (pow (/ (* 8.0 (/ (pow (sin (* 0.5 x)) 2) (sin x))) 3.0) 3) (pow (/ (* 8.0 (/ (pow (sin (* 0.5 x)) 2) (sin x))) 3.0) 3) (pow (/ (* 8.0 (/ (pow (sin (* 0.5 x)) 2) (sin x))) 3.0) 3) (* (cbrt (* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))) (cbrt (* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x))))) (cbrt (* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))) (pow (/ (* 8.0 (/ (pow (sin (* 0.5 x)) 2) (sin x))) 3.0) 3) (sqrt (* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))) (sqrt (* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))) (* (pow (sin (* 0.5 x)) 2) 8.0) (* 3.0 (sin x)) (* (* (/ 8.0 3.0) (sin (* x 0.5))) (* (cbrt (/ (sin (* 0.5 x)) (sin x))) (cbrt (/ (sin (* 0.5 x)) (sin x))))) (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sqrt (/ (sin (* 0.5 x)) (sin x)))) (* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (* (cbrt (sin x)) (cbrt (sin x))))) (* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (* (cbrt 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x)))) (cbrt (/ (sin (* 0.5 x)) (sin x))) (pow (/ (sin (* 0.5 x)) (sin x)) 3) (sqrt (/ (sin (* 0.5 x)) (sin x))) (sqrt (/ (sin (* 0.5 x)) (sin x))) (- (sin (* 0.5 x))) (- (sin x)) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt (sin (* 0.5 x))) (cbrt (sin x))) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (sqrt (sin x))) (/ (cbrt (sin (* 0.5 x))) (sqrt (sin x))) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (/ (cbrt (sin (* 0.5 x))) (sin x)) (/ (sqrt (sin (* 0.5 x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (sin (* 0.5 x))) (cbrt (sin x))) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x))) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x))) (sqrt (sin (* 0.5 x))) (/ (sqrt (sin (* 0.5 x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sin (* 0.5 x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (sin (* 0.5 x)) (sqrt (sin x))) 1 (/ (sin (* 0.5 x)) (sin x)) (/ 1 (sin x)) (/ (sin x) (sin (* 0.5 x))) (/ (sin (* 0.5 x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sin (* 0.5 x)) (sqrt (sin x))) (sin (* 0.5 x)) (/ (sin x) (cbrt (sin (* 0.5 x)))) (/ (sin x) (sqrt (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 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 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 0.0625 (pow x 2) (fma 0.006510416666666666 (pow x 4) 0.5)) (/ (sin (* 0.5 x)) (sin x)) (/ (sin (* 0.5 x)) (sin x)) 0.898 * * * [progress]: adding candidates to table 1.157 * * [progress]: iteration 3 / 4 1.157 * * * [progress]: picking best candidate 1.181 * * * * [pick]: Picked # 1.182 * * * [progress]: localizing error 1.193 * * * [progress]: generating rewritten candidates 1.193 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 1.206 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 1.210 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 2) 1.218 * * * [progress]: generating series expansions 1.218 * * * * [progress]: [ 1 / 3 ] generating series at (2) 1.218 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in (x) around 0 1.218 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 1.218 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.218 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 1.218 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 1.218 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.218 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.218 * [taylor]: Taking taylor expansion of 0.5 in x 1.218 * [taylor]: Taking taylor expansion of x in x 1.221 * [taylor]: Taking taylor expansion of (sin x) in x 1.221 * [taylor]: Taking taylor expansion of x in x 1.222 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (* 0.5 x)) 2) (sin x))) in x 1.222 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.222 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (sin x)) in x 1.222 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 1.222 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.222 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.222 * [taylor]: Taking taylor expansion of 0.5 in x 1.222 * [taylor]: Taking taylor expansion of x in x 1.225 * [taylor]: Taking taylor expansion of (sin x) in x 1.225 * [taylor]: Taking taylor expansion of x in x 1.262 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in (x) around 0 1.262 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 1.262 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.262 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 1.262 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 1.262 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.262 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.262 * [taylor]: Taking taylor expansion of 0.5 in x 1.262 * [taylor]: Taking taylor expansion of x in x 1.262 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.262 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.262 * [taylor]: Taking taylor expansion of x in x 1.263 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x)))) in x 1.263 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.263 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (sin (/ 1 x))) in x 1.263 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 1.263 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.263 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.263 * [taylor]: Taking taylor expansion of 0.5 in x 1.263 * [taylor]: Taking taylor expansion of x in x 1.263 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.263 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.263 * [taylor]: Taking taylor expansion of x in x 1.277 * [approximate]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in (x) around 0 1.277 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 1.277 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.277 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 1.277 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 1.277 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.277 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.277 * [taylor]: Taking taylor expansion of -0.5 in x 1.277 * [taylor]: Taking taylor expansion of x in x 1.278 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.278 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.278 * [taylor]: Taking taylor expansion of -1 in x 1.278 * [taylor]: Taking taylor expansion of x in x 1.278 * [taylor]: Taking taylor expansion of (* 2.6666666666666665 (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x)))) in x 1.278 * [taylor]: Taking taylor expansion of 2.6666666666666665 in x 1.278 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (sin (/ -1 x))) in x 1.278 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 1.278 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.278 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.278 * [taylor]: Taking taylor expansion of -0.5 in x 1.278 * [taylor]: Taking taylor expansion of x in x 1.279 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.279 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.279 * [taylor]: Taking taylor expansion of -1 in x 1.279 * [taylor]: Taking taylor expansion of x in x 1.296 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 1.296 * [approximate]: Taking taylor expansion of (/ (sin (* 0.5 x)) (sin x)) in (x) around 0 1.296 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 x)) (sin x)) in x 1.296 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.296 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.296 * [taylor]: Taking taylor expansion of 0.5 in x 1.297 * [taylor]: Taking taylor expansion of x in x 1.298 * [taylor]: Taking taylor expansion of (sin x) in x 1.298 * [taylor]: Taking taylor expansion of x in x 1.300 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 x)) (sin x)) in x 1.300 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.300 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.300 * [taylor]: Taking taylor expansion of 0.5 in x 1.300 * [taylor]: Taking taylor expansion of x in x 1.301 * [taylor]: Taking taylor expansion of (sin x) in x 1.301 * [taylor]: Taking taylor expansion of x in x 1.327 * [approximate]: Taking taylor expansion of (/ (sin (/ 0.5 x)) (sin (/ 1 x))) in (x) around 0 1.327 * [taylor]: Taking taylor expansion of (/ (sin (/ 0.5 x)) (sin (/ 1 x))) in x 1.327 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.327 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.327 * [taylor]: Taking taylor expansion of 0.5 in x 1.327 * [taylor]: Taking taylor expansion of x in x 1.327 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.327 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.327 * [taylor]: Taking taylor expansion of x in x 1.328 * [taylor]: Taking taylor expansion of (/ (sin (/ 0.5 x)) (sin (/ 1 x))) in x 1.328 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.328 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.328 * [taylor]: Taking taylor expansion of 0.5 in x 1.328 * [taylor]: Taking taylor expansion of x in x 1.328 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.328 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.328 * [taylor]: Taking taylor expansion of x in x 1.331 * [approximate]: Taking taylor expansion of (/ (sin (/ -0.5 x)) (sin (/ -1 x))) in (x) around 0 1.331 * [taylor]: Taking taylor expansion of (/ (sin (/ -0.5 x)) (sin (/ -1 x))) 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 1.331 * [taylor]: Taking taylor expansion of -0.5 in x 1.331 * [taylor]: Taking taylor expansion of x in x 1.331 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.331 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.331 * [taylor]: Taking taylor expansion of -1 in x 1.331 * [taylor]: Taking taylor expansion of x in x 1.332 * [taylor]: Taking taylor expansion of (/ (sin (/ -0.5 x)) (sin (/ -1 x))) in x 1.332 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.332 * [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 1.334 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 2) 1.334 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (sin (* 0.5 x))) in (x) around 0 1.335 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (* 0.5 x))) in x 1.335 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.335 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.335 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.335 * [taylor]: Taking taylor expansion of 0.5 in x 1.335 * [taylor]: Taking taylor expansion of x in x 1.336 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (* 0.5 x))) in x 1.336 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.336 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.336 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.336 * [taylor]: Taking taylor expansion of 0.5 in x 1.336 * [taylor]: Taking taylor expansion of x in x 1.356 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ 0.5 x))) in (x) around 0 1.356 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ 0.5 x))) in x 1.356 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.356 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.356 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.356 * [taylor]: Taking taylor expansion of 0.5 in x 1.356 * [taylor]: Taking taylor expansion of x in x 1.357 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ 0.5 x))) in x 1.357 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.357 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.357 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.357 * [taylor]: Taking taylor expansion of 0.5 in x 1.357 * [taylor]: Taking taylor expansion of x in x 1.363 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ -0.5 x))) in (x) around 0 1.363 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ -0.5 x))) in x 1.363 * [taylor]: Taking taylor expansion of 0.3333333333333333 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 1.363 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (sin (/ -0.5 x))) in x 1.363 * [taylor]: Taking taylor expansion of 0.3333333333333333 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 1.372 * * * [progress]: simplifying candidates 1.374 * [simplify]: Simplifying using # : (expm1 (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))) (log1p (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x))) (+ (+ (log 8.0) (- (log (sin (* 0.5 x))) (log 3.0))) (- (log (sin (* 0.5 x))) (log (sin x)))) (+ (+ (log 8.0) (- (log (sin (* 0.5 x))) (log 3.0))) (log (/ (sin (* 0.5 x)) (sin x)))) (+ (+ (log 8.0) (log (/ (sin (* 0.5 x)) 3.0))) (- (log (sin (* 0.5 x))) (log (sin x)))) (+ (+ (log 8.0) (log (/ (sin (* 0.5 x)) 3.0))) (log (/ (sin (* 0.5 x)) (sin x)))) (+ (log (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (- (log (sin (* 0.5 x))) (log (sin x)))) (+ (log (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (log (/ (sin (* 0.5 x)) (sin x)))) (log (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))) (exp (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))) (* (* (* (* 8.0 8.0) 8.0) (/ (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x))) (* (* 3.0 3.0) 3.0))) (/ (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x))) (* (* (sin x) (sin x)) (sin x)))) (* (* (* (* 8.0 8.0) 8.0) (/ (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x))) (* (* 3.0 3.0) 3.0))) (* (* (/ (sin (* 0.5 x)) (sin x)) (/ (sin (* 0.5 x)) (sin x))) (/ (sin (* 0.5 x)) (sin x)))) (* (* (* (* 8.0 8.0) 8.0) (* (* (/ (sin (* 0.5 x)) 3.0) (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) 3.0))) (/ (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x))) (* (* (sin x) (sin x)) (sin x)))) (* (* (* (* 8.0 8.0) 8.0) (* (* (/ (sin (* 0.5 x)) 3.0) (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) 3.0))) (* (* (/ (sin (* 0.5 x)) (sin x)) (/ (sin (* 0.5 x)) (sin x))) (/ (sin (* 0.5 x)) (sin x)))) (* (* (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (/ (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x))) (* (* (sin x) (sin x)) (sin x)))) (* (* (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (* 8.0 (/ (sin (* 0.5 x)) 3.0))) (* (* (/ (sin (* 0.5 x)) (sin x)) (/ (sin (* 0.5 x)) (sin x))) (/ (sin (* 0.5 x)) (sin x)))) (* (cbrt (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))) (cbrt (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x))))) (cbrt (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))) (* (* (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))) (sqrt (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))) (sqrt (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))) (* (* 8.0 (sin (* 0.5 x))) (sin (* 0.5 x))) (* 3.0 (sin x)) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (* (cbrt (/ (sin (* 0.5 x)) (sin x))) (cbrt (/ (sin (* 0.5 x)) (sin x))))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sqrt (/ (sin (* 0.5 x)) (sin x)))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (* (cbrt (sin x)) (cbrt (sin x))))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (sqrt (sin x)))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) 1)) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sqrt (sin (* 0.5 x))) (* (cbrt (sin x)) (cbrt (sin x))))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x)))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sqrt (sin (* 0.5 x))) 1)) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x))))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ 1 (sqrt (sin x)))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ 1 1)) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) 1) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin (* 0.5 x))) (* (/ (sin (* 0.5 x)) 3.0) (/ (sin (* 0.5 x)) (sin x))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin (* 0.5 x))) (* (* 8.0 (sin (* 0.5 x))) (/ (sin (* 0.5 x)) (sin x))) (expm1 (/ (sin (* 0.5 x)) (sin x))) (log1p (/ (sin (* 0.5 x)) (sin x))) (- (log (sin (* 0.5 x))) (log (sin x))) (log (/ (sin (* 0.5 x)) (sin x))) (exp (/ (sin (* 0.5 x)) (sin x))) (/ (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x))) (* (* (sin x) (sin x)) (sin x))) (* (cbrt (/ (sin (* 0.5 x)) (sin x))) (cbrt (/ (sin (* 0.5 x)) (sin x)))) (cbrt (/ (sin (* 0.5 x)) (sin x))) (* (* (/ (sin (* 0.5 x)) (sin x)) (/ (sin (* 0.5 x)) (sin x))) (/ (sin (* 0.5 x)) (sin x))) (sqrt (/ (sin (* 0.5 x)) (sin x))) (sqrt (/ (sin (* 0.5 x)) (sin x))) (- (sin (* 0.5 x))) (- (sin x)) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt (sin (* 0.5 x))) (cbrt (sin x))) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (sqrt (sin x))) (/ (cbrt (sin (* 0.5 x))) (sqrt (sin x))) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) 1) (/ (cbrt (sin (* 0.5 x))) (sin x)) (/ (sqrt (sin (* 0.5 x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (sin (* 0.5 x))) (cbrt (sin x))) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x))) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x))) (/ (sqrt (sin (* 0.5 x))) 1) (/ (sqrt (sin (* 0.5 x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sin (* 0.5 x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (sin (* 0.5 x)) (sqrt (sin x))) (/ 1 1) (/ (sin (* 0.5 x)) (sin x)) (/ 1 (sin x)) (/ (sin x) (sin (* 0.5 x))) (/ (sin (* 0.5 x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sin (* 0.5 x)) (sqrt (sin x))) (/ (sin (* 0.5 x)) 1) (/ (sin x) (cbrt (sin (* 0.5 x)))) (/ (sin x) (sqrt (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 x))) (expm1 (/ (sin (* 0.5 x)) 3.0)) (log1p (/ (sin (* 0.5 x)) 3.0)) (- (log (sin (* 0.5 x))) (log 3.0)) (log (/ (sin (* 0.5 x)) 3.0)) (exp (/ (sin (* 0.5 x)) 3.0)) (/ (* (* (sin (* 0.5 x)) (sin (* 0.5 x))) (sin (* 0.5 x))) (* (* 3.0 3.0) 3.0)) (* (cbrt (/ (sin (* 0.5 x)) 3.0)) (cbrt (/ (sin (* 0.5 x)) 3.0))) (cbrt (/ (sin (* 0.5 x)) 3.0)) (* (* (/ (sin (* 0.5 x)) 3.0) (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) 3.0)) (sqrt (/ (sin (* 0.5 x)) 3.0)) (sqrt (/ (sin (* 0.5 x)) 3.0)) (- (sin (* 0.5 x))) (- 3.0) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (* (cbrt 3.0) (cbrt 3.0))) (/ (cbrt (sin (* 0.5 x))) (cbrt 3.0)) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (sqrt 3.0)) (/ (cbrt (sin (* 0.5 x))) (sqrt 3.0)) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) 1) (/ (cbrt (sin (* 0.5 x))) 3.0) (/ (sqrt (sin (* 0.5 x))) (* (cbrt 3.0) (cbrt 3.0))) (/ (sqrt (sin (* 0.5 x))) (cbrt 3.0)) (/ (sqrt (sin (* 0.5 x))) (sqrt 3.0)) (/ (sqrt (sin (* 0.5 x))) (sqrt 3.0)) (/ (sqrt (sin (* 0.5 x))) 1) (/ (sqrt (sin (* 0.5 x))) 3.0) (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (sin (* 0.5 x)) (cbrt 3.0)) (/ 1 (sqrt 3.0)) (/ (sin (* 0.5 x)) (sqrt 3.0)) (/ 1 1) (/ (sin (* 0.5 x)) 3.0) (/ 1 3.0) (/ 3.0 (sin (* 0.5 x))) (/ (sin (* 0.5 x)) (* (cbrt 3.0) (cbrt 3.0))) (/ (sin (* 0.5 x)) (sqrt 3.0)) (/ (sin (* 0.5 x)) 1) (/ 3.0 (cbrt (sin (* 0.5 x)))) (/ 3.0 (sqrt (sin (* 0.5 x)))) (/ 3.0 (sin (* 0.5 x))) (+ (* 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))) (+ (* 0.0625 (pow x 2)) (+ (* 0.006510416666666666 (pow x 4)) 0.5)) (/ (sin (* 0.5 x)) (sin x)) (/ (sin (* 0.5 x)) (sin x)) (- (+ (* 0.16666666666666666 x) (* 8.680555555555555e-05 (pow x 5))) (* 0.006944444444444444 (pow x 3))) (* 0.3333333333333333 (sin (* 0.5 x))) (* 0.3333333333333333 (sin (* 0.5 x))) 1.382 * * [simplify]: iteration 0 : 437 enodes (cost 968 ) 1.392 * * [simplify]: iteration 1 : 2144 enodes (cost 808 ) 1.432 * * [simplify]: iteration 2 : 5001 enodes (cost 786 ) 1.436 * [simplify]: Simplified to: (expm1 (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))) (log1p (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))) (/ (/ (* 8.0 (pow (sin (* 0.5 x)) 2)) (sin x)) 3.0) (/ (/ (* 8.0 (pow (sin (* 0.5 x)) 2)) (sin x)) 3.0) (- (log (/ (* 8.0 (pow (sin (* 0.5 x)) 2)) (sin x))) (log 3.0)) (- (log (/ (* 8.0 (pow (sin (* 0.5 x)) 2)) (sin x))) (log 3.0)) (- (log (/ (* 8.0 (pow (sin (* 0.5 x)) 2)) (sin x))) (log 3.0)) (- (log (/ (* 8.0 (pow (sin (* 0.5 x)) 2)) (sin x))) (log 3.0)) (- (log (/ (* 8.0 (pow (sin (* 0.5 x)) 2)) (sin x))) (log 3.0)) (- (log (/ (* 8.0 (pow (sin (* 0.5 x)) 2)) (sin x))) (log 3.0)) (- (log (/ (* 8.0 (pow (sin (* 0.5 x)) 2)) (sin x))) (log 3.0)) (pow (exp 1) (/ (/ (* 8.0 (pow (sin (* 0.5 x)) 2)) (sin x)) 3.0)) (pow (/ (/ (* 8.0 (pow (sin (* 0.5 x)) 2)) (sin x)) 3.0) 3) (pow (/ (/ (* 8.0 (pow (sin (* 0.5 x)) 2)) (sin x)) 3.0) 3) (pow (/ (/ (* 8.0 (pow (sin (* 0.5 x)) 2)) (sin x)) 3.0) 3) (pow (/ (/ (* 8.0 (pow (sin (* 0.5 x)) 2)) (sin x)) 3.0) 3) (pow (/ (/ (* 8.0 (pow (sin (* 0.5 x)) 2)) (sin x)) 3.0) 3) (pow (/ (/ (* 8.0 (pow (sin (* 0.5 x)) 2)) (sin x)) 3.0) 3) (* (cbrt (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))) (cbrt (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x))))) (cbrt (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))) (pow (/ (/ (* 8.0 (pow (sin (* 0.5 x)) 2)) (sin x)) 3.0) 3) (sqrt (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))) (sqrt (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))) (* 8.0 (pow (sin (* 0.5 x)) 2)) (* 3.0 (sin x)) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (* (cbrt (/ (sin (* 0.5 x)) (sin x))) (cbrt (/ (sin (* 0.5 x)) (sin x))))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sqrt (/ (sin (* 0.5 x)) (sin x)))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (* (cbrt (sin x)) (cbrt (sin x))))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (sqrt (sin x)))) (* 8.0 (* (/ (sin (* 0.5 x)) 3.0) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sqrt (sin (* 0.5 x))) (* (cbrt (sin x)) (cbrt (sin x))))) (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x)))) (* 8.0 (* (/ (sin (* 0.5 x)) 3.0) (sqrt (sin (* 0.5 x))))) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sqrt (sin x))) (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (* (/ (pow (sin (* 0.5 x)) 2) 3.0) 8.0) (* (/ (sin (* 0.5 x)) 3.0) (/ (sin (* 0.5 x)) (sin x))) (* (/ (pow (sin (* 0.5 x)) 2) 3.0) 8.0) (/ (* 8.0 (pow (sin (* 0.5 x)) 2)) (sin x)) (expm1 (/ (sin (* 0.5 x)) (sin x))) (log1p (/ (sin (* 0.5 x)) (sin x))) (log (/ (sin (* 0.5 x)) (sin x))) (log (/ (sin (* 0.5 x)) (sin x))) (exp (/ (sin (* 0.5 x)) (sin x))) (pow (/ (sin (* 0.5 x)) (sin x)) 3) (* (cbrt (/ (sin (* 0.5 x)) (sin x))) (cbrt (/ (sin (* 0.5 x)) (sin x)))) (cbrt (/ (sin (* 0.5 x)) (sin x))) (pow (/ (sin (* 0.5 x)) (sin x)) 3) (sqrt (/ (sin (* 0.5 x)) (sin x))) (sqrt (/ (sin (* 0.5 x)) (sin x))) (- (sin (* 0.5 x))) (- (sin x)) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt (sin (* 0.5 x))) (cbrt (sin x))) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (sqrt (sin x))) (/ (cbrt (sin (* 0.5 x))) (sqrt (sin x))) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (/ (cbrt (sin (* 0.5 x))) (sin x)) (/ (sqrt (sin (* 0.5 x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (sin (* 0.5 x))) (cbrt (sin x))) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x))) (/ (sqrt (sin (* 0.5 x))) (sqrt (sin x))) (sqrt (sin (* 0.5 x))) (/ (sqrt (sin (* 0.5 x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sin (* 0.5 x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (sin (* 0.5 x)) (sqrt (sin x))) 1 (/ (sin (* 0.5 x)) (sin x)) (/ 1 (sin x)) (/ (sin x) (sin (* 0.5 x))) (/ (sin (* 0.5 x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sin (* 0.5 x)) (sqrt (sin x))) (sin (* 0.5 x)) (/ (sin x) (cbrt (sin (* 0.5 x)))) (/ (sin x) (sqrt (sin (* 0.5 x)))) (/ (sin x) (sin (* 0.5 x))) (expm1 (/ (sin (* 0.5 x)) 3.0)) (log1p (/ (sin (* 0.5 x)) 3.0)) (log (/ (sin (* 0.5 x)) 3.0)) (log (/ (sin (* 0.5 x)) 3.0)) (exp (/ (sin (* 0.5 x)) 3.0)) (pow (/ (sin (* 0.5 x)) 3.0) 3) (* (cbrt (/ (sin (* 0.5 x)) 3.0)) (cbrt (/ (sin (* 0.5 x)) 3.0))) (cbrt (/ (sin (* 0.5 x)) 3.0)) (pow (/ (sin (* 0.5 x)) 3.0) 3) (sqrt (/ (sin (* 0.5 x)) 3.0)) (sqrt (/ (sin (* 0.5 x)) 3.0)) (- (sin (* 0.5 x))) (- 3.0) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (* (cbrt 3.0) (cbrt 3.0))) (/ (cbrt (sin (* 0.5 x))) (cbrt 3.0)) (/ (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (sqrt 3.0)) (/ (cbrt (sin (* 0.5 x))) (sqrt 3.0)) (* (cbrt (sin (* 0.5 x))) (cbrt (sin (* 0.5 x)))) (/ (cbrt (sin (* 0.5 x))) 3.0) (/ (sqrt (sin (* 0.5 x))) (* (cbrt 3.0) (cbrt 3.0))) (/ (sqrt (sin (* 0.5 x))) (cbrt 3.0)) (/ (sqrt (sin (* 0.5 x))) (sqrt 3.0)) (/ (sqrt (sin (* 0.5 x))) (sqrt 3.0)) (sqrt (sin (* 0.5 x))) (/ (sqrt (sin (* 0.5 x))) 3.0) (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (sin (* 0.5 x)) (cbrt 3.0)) (/ 1 (sqrt 3.0)) (/ (sin (* 0.5 x)) (sqrt 3.0)) 1 (/ (sin (* 0.5 x)) 3.0) (/ 1 3.0) (/ 3.0 (sin (* 0.5 x))) (/ (sin (* 0.5 x)) (* (cbrt 3.0) (cbrt 3.0))) (/ (sin (* 0.5 x)) (sqrt 3.0)) (sin (* 0.5 x)) (/ 3.0 (cbrt (sin (* 0.5 x)))) (/ 3.0 (sqrt (sin (* 0.5 x)))) (/ 3.0 (sin (* 0.5 x))) (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 0.0625 (pow x 2) (fma 0.006510416666666666 (pow x 4) 0.5)) (/ (sin (* 0.5 x)) (sin x)) (/ (sin (* 0.5 x)) (sin x)) (fma x 0.16666666666666666 (- (* 8.680555555555555e-05 (pow x 5)) (* 0.006944444444444444 (pow x 3)))) (* 0.3333333333333333 (sin (* 0.5 x))) (* 0.3333333333333333 (sin (* 0.5 x))) 1.437 * * * [progress]: adding candidates to table 1.649 * * [progress]: iteration 4 / 4 1.649 * * * [progress]: picking best candidate 1.671 * * * * [pick]: Picked # 1.671 * * * [progress]: localizing error 1.690 * * * [progress]: generating rewritten candidates 1.690 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1) 1.694 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 1.703 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.719 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.757 * * * [progress]: generating series expansions 1.757 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1) 1.757 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 1.758 * [approximate]: Taking taylor expansion of (* 8.0 (/ (sin (* 0.5 x)) (cbrt 3.0))) in (x) around 0 1.758 * [taylor]: Taking taylor expansion of (* 8.0 (/ (sin (* 0.5 x)) (cbrt 3.0))) in x 1.758 * [taylor]: Taking taylor expansion of 8.0 in x 1.758 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 x)) (cbrt 3.0)) in x 1.758 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.758 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.758 * [taylor]: Taking taylor expansion of 0.5 in x 1.758 * [taylor]: Taking taylor expansion of x in x 1.759 * [taylor]: Taking taylor expansion of (cbrt 3.0) in x 1.759 * [taylor]: Taking taylor expansion of 3.0 in x 1.762 * [taylor]: Taking taylor expansion of (* 8.0 (/ (sin (* 0.5 x)) (cbrt 3.0))) in x 1.762 * [taylor]: Taking taylor expansion of 8.0 in x 1.762 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 x)) (cbrt 3.0)) in x 1.762 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.762 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.762 * [taylor]: Taking taylor expansion of 0.5 in x 1.762 * [taylor]: Taking taylor expansion of x in x 1.764 * [taylor]: Taking taylor expansion of (cbrt 3.0) in x 1.764 * [taylor]: Taking taylor expansion of 3.0 in x 1.815 * [approximate]: Taking taylor expansion of (* 8.0 (/ (sin (/ 0.5 x)) (cbrt 3.0))) in (x) around 0 1.815 * [taylor]: Taking taylor expansion of (* 8.0 (/ (sin (/ 0.5 x)) (cbrt 3.0))) in x 1.815 * [taylor]: Taking taylor expansion of 8.0 in x 1.815 * [taylor]: Taking taylor expansion of (/ (sin (/ 0.5 x)) (cbrt 3.0)) in x 1.815 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.815 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.815 * [taylor]: Taking taylor expansion of 0.5 in x 1.815 * [taylor]: Taking taylor expansion of x in x 1.815 * [taylor]: Taking taylor expansion of (cbrt 3.0) in x 1.815 * [taylor]: Taking taylor expansion of 3.0 in x 1.816 * [taylor]: Taking taylor expansion of (* 8.0 (/ (sin (/ 0.5 x)) (cbrt 3.0))) in x 1.816 * [taylor]: Taking taylor expansion of 8.0 in x 1.816 * [taylor]: Taking taylor expansion of (/ (sin (/ 0.5 x)) (cbrt 3.0)) in x 1.817 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.817 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.817 * [taylor]: Taking taylor expansion of 0.5 in x 1.817 * [taylor]: Taking taylor expansion of x in x 1.817 * [taylor]: Taking taylor expansion of (cbrt 3.0) in x 1.817 * [taylor]: Taking taylor expansion of 3.0 in x 1.843 * [approximate]: Taking taylor expansion of (* 8.0 (/ (sin (/ -0.5 x)) (cbrt 3.0))) in (x) around 0 1.843 * [taylor]: Taking taylor expansion of (* 8.0 (/ (sin (/ -0.5 x)) (cbrt 3.0))) in x 1.843 * [taylor]: Taking taylor expansion of 8.0 in x 1.843 * [taylor]: Taking taylor expansion of (/ (sin (/ -0.5 x)) (cbrt 3.0)) in x 1.843 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.843 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.843 * [taylor]: Taking taylor expansion of -0.5 in x 1.843 * [taylor]: Taking taylor expansion of x in x 1.843 * [taylor]: Taking taylor expansion of (cbrt 3.0) in x 1.843 * [taylor]: Taking taylor expansion of 3.0 in x 1.845 * [taylor]: Taking taylor expansion of (* 8.0 (/ (sin (/ -0.5 x)) (cbrt 3.0))) in x 1.845 * [taylor]: Taking taylor expansion of 8.0 in x 1.845 * [taylor]: Taking taylor expansion of (/ (sin (/ -0.5 x)) (cbrt 3.0)) in x 1.845 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.845 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.845 * [taylor]: Taking taylor expansion of -0.5 in x 1.845 * [taylor]: Taking taylor expansion of x in x 1.845 * [taylor]: Taking taylor expansion of (cbrt 3.0) in x 1.845 * [taylor]: Taking taylor expansion of 3.0 in x 1.870 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.872 * [approximate]: Taking taylor expansion of (* 8.0 (/ (sin (* 0.5 x)) (pow (cbrt 3.0) 3))) in (x) around 0 1.872 * [taylor]: Taking taylor expansion of (* 8.0 (/ (sin (* 0.5 x)) (pow (cbrt 3.0) 3))) in x 1.872 * [taylor]: Taking taylor expansion of 8.0 in x 1.873 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 x)) (pow (cbrt 3.0) 3)) in x 1.873 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 1.873 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.873 * [taylor]: Taking taylor expansion of 0.5 in x 1.873 * [taylor]: Taking taylor expansion of x in x 1.874 * [taylor]: Taking taylor expansion of (pow (cbrt 3.0) 3) in x 1.874 * [taylor]: Taking taylor expansion of (cbrt 3.0) in x 1.874 * [taylor]: Taking taylor expansion of 3.0 in x 1.879 * [taylor]: Taking taylor expansion of (* 8.0 (/ (sin (* 0.5 x)) (pow (cbrt 3.0) 3))) in x 1.880 * [taylor]: Taking taylor expansion of 8.0 in x 1.880 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 x)) (pow (cbrt 3.0) 3)) 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 1.881 * [taylor]: Taking taylor expansion of (pow (cbrt 3.0) 3) in x 1.881 * [taylor]: Taking taylor expansion of (cbrt 3.0) in x 1.881 * [taylor]: Taking taylor expansion of 3.0 in x 1.926 * [approximate]: Taking taylor expansion of (* 8.0 (/ (sin (/ 0.5 x)) (pow (cbrt 3.0) 3))) in (x) around 0 1.926 * [taylor]: Taking taylor expansion of (* 8.0 (/ (sin (/ 0.5 x)) (pow (cbrt 3.0) 3))) in x 1.927 * [taylor]: Taking taylor expansion of 8.0 in x 1.927 * [taylor]: Taking taylor expansion of (/ (sin (/ 0.5 x)) (pow (cbrt 3.0) 3)) in x 1.927 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.927 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.927 * [taylor]: Taking taylor expansion of 0.5 in x 1.927 * [taylor]: Taking taylor expansion of x in x 1.927 * [taylor]: Taking taylor expansion of (pow (cbrt 3.0) 3) in x 1.927 * [taylor]: Taking taylor expansion of (cbrt 3.0) in x 1.927 * [taylor]: Taking taylor expansion of 3.0 in x 1.931 * [taylor]: Taking taylor expansion of (* 8.0 (/ (sin (/ 0.5 x)) (pow (cbrt 3.0) 3))) in x 1.931 * [taylor]: Taking taylor expansion of 8.0 in x 1.931 * [taylor]: Taking taylor expansion of (/ (sin (/ 0.5 x)) (pow (cbrt 3.0) 3)) in x 1.931 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 1.931 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.931 * [taylor]: Taking taylor expansion of 0.5 in x 1.931 * [taylor]: Taking taylor expansion of x in x 1.931 * [taylor]: Taking taylor expansion of (pow (cbrt 3.0) 3) in x 1.931 * [taylor]: Taking taylor expansion of (cbrt 3.0) in x 1.931 * [taylor]: Taking taylor expansion of 3.0 in x 1.970 * [approximate]: Taking taylor expansion of (* 8.0 (/ (sin (/ -0.5 x)) (pow (cbrt 3.0) 3))) in (x) around 0 1.970 * [taylor]: Taking taylor expansion of (* 8.0 (/ (sin (/ -0.5 x)) (pow (cbrt 3.0) 3))) in x 1.970 * [taylor]: Taking taylor expansion of 8.0 in x 1.970 * [taylor]: Taking taylor expansion of (/ (sin (/ -0.5 x)) (pow (cbrt 3.0) 3)) in x 1.970 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.970 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.970 * [taylor]: Taking taylor expansion of -0.5 in x 1.970 * [taylor]: Taking taylor expansion of x in x 1.970 * [taylor]: Taking taylor expansion of (pow (cbrt 3.0) 3) in x 1.970 * [taylor]: Taking taylor expansion of (cbrt 3.0) in x 1.970 * [taylor]: Taking taylor expansion of 3.0 in x 1.974 * [taylor]: Taking taylor expansion of (* 8.0 (/ (sin (/ -0.5 x)) (pow (cbrt 3.0) 3))) in x 1.974 * [taylor]: Taking taylor expansion of 8.0 in x 1.974 * [taylor]: Taking taylor expansion of (/ (sin (/ -0.5 x)) (pow (cbrt 3.0) 3)) in x 1.974 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 1.974 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.974 * [taylor]: Taking taylor expansion of -0.5 in x 1.974 * [taylor]: Taking taylor expansion of x in x 1.974 * [taylor]: Taking taylor expansion of (pow (cbrt 3.0) 3) in x 1.974 * [taylor]: Taking taylor expansion of (cbrt 3.0) in x 1.974 * [taylor]: Taking taylor expansion of 3.0 in x 2.015 * * * * [progress]: [ 4 / 4 ] generating series at (2) 2.017 * [approximate]: Taking taylor expansion of (* 8.0 (/ (pow (sin (* 0.5 x)) 2) (* (pow (cbrt 3.0) 3) (sin x)))) in (x) around 0 2.017 * [taylor]: Taking taylor expansion of (* 8.0 (/ (pow (sin (* 0.5 x)) 2) (* (pow (cbrt 3.0) 3) (sin x)))) in x 2.017 * [taylor]: Taking taylor expansion of 8.0 in x 2.017 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (* (pow (cbrt 3.0) 3) (sin x))) in x 2.017 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 2.017 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 2.017 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 2.017 * [taylor]: Taking taylor expansion of 0.5 in x 2.017 * [taylor]: Taking taylor expansion of x in x 2.020 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3.0) 3) (sin x)) in x 2.020 * [taylor]: Taking taylor expansion of (pow (cbrt 3.0) 3) in x 2.020 * [taylor]: Taking taylor expansion of (cbrt 3.0) in x 2.020 * [taylor]: Taking taylor expansion of 3.0 in x 2.021 * [taylor]: Taking taylor expansion of (sin x) in x 2.021 * [taylor]: Taking taylor expansion of x in x 2.027 * [taylor]: Taking taylor expansion of (* 8.0 (/ (pow (sin (* 0.5 x)) 2) (* (pow (cbrt 3.0) 3) (sin x)))) in x 2.028 * [taylor]: Taking taylor expansion of 8.0 in x 2.028 * [taylor]: Taking taylor expansion of (/ (pow (sin (* 0.5 x)) 2) (* (pow (cbrt 3.0) 3) (sin x))) in x 2.028 * [taylor]: Taking taylor expansion of (pow (sin (* 0.5 x)) 2) in x 2.028 * [taylor]: Taking taylor expansion of (sin (* 0.5 x)) in x 2.028 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 2.028 * [taylor]: Taking taylor expansion of 0.5 in x 2.028 * [taylor]: Taking taylor expansion of x in x 2.030 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3.0) 3) (sin x)) in x 2.030 * [taylor]: Taking taylor expansion of (pow (cbrt 3.0) 3) in x 2.030 * [taylor]: Taking taylor expansion of (cbrt 3.0) in x 2.031 * [taylor]: Taking taylor expansion of 3.0 in x 2.031 * [taylor]: Taking taylor expansion of (sin x) in x 2.031 * [taylor]: Taking taylor expansion of x in x 2.099 * [approximate]: Taking taylor expansion of (* 8.0 (/ (pow (sin (/ 0.5 x)) 2) (* (pow (cbrt 3.0) 3) (sin (/ 1 x))))) in (x) around 0 2.099 * [taylor]: Taking taylor expansion of (* 8.0 (/ (pow (sin (/ 0.5 x)) 2) (* (pow (cbrt 3.0) 3) (sin (/ 1 x))))) in x 2.099 * [taylor]: Taking taylor expansion of 8.0 in x 2.099 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (* (pow (cbrt 3.0) 3) (sin (/ 1 x)))) in x 2.099 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 2.099 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.099 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.099 * [taylor]: Taking taylor expansion of 0.5 in x 2.099 * [taylor]: Taking taylor expansion of x in x 2.100 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3.0) 3) (sin (/ 1 x))) in x 2.100 * [taylor]: Taking taylor expansion of (pow (cbrt 3.0) 3) in x 2.100 * [taylor]: Taking taylor expansion of (cbrt 3.0) in x 2.100 * [taylor]: Taking taylor expansion of 3.0 in x 2.100 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.100 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.100 * [taylor]: Taking taylor expansion of x in x 2.104 * [taylor]: Taking taylor expansion of (* 8.0 (/ (pow (sin (/ 0.5 x)) 2) (* (pow (cbrt 3.0) 3) (sin (/ 1 x))))) in x 2.104 * [taylor]: Taking taylor expansion of 8.0 in x 2.104 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 0.5 x)) 2) (* (pow (cbrt 3.0) 3) (sin (/ 1 x)))) in x 2.104 * [taylor]: Taking taylor expansion of (pow (sin (/ 0.5 x)) 2) in x 2.104 * [taylor]: Taking taylor expansion of (sin (/ 0.5 x)) in x 2.104 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.104 * [taylor]: Taking taylor expansion of 0.5 in x 2.104 * [taylor]: Taking taylor expansion of x in x 2.104 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3.0) 3) (sin (/ 1 x))) in x 2.104 * [taylor]: Taking taylor expansion of (pow (cbrt 3.0) 3) in x 2.104 * [taylor]: Taking taylor expansion of (cbrt 3.0) in x 2.104 * [taylor]: Taking taylor expansion of 3.0 in x 2.105 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.105 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.105 * [taylor]: Taking taylor expansion of x in x 2.146 * [approximate]: Taking taylor expansion of (* 8.0 (/ (pow (sin (/ -0.5 x)) 2) (* (pow (cbrt 3.0) 3) (sin (/ -1 x))))) in (x) around 0 2.146 * [taylor]: Taking taylor expansion of (* 8.0 (/ (pow (sin (/ -0.5 x)) 2) (* (pow (cbrt 3.0) 3) (sin (/ -1 x))))) in x 2.146 * [taylor]: Taking taylor expansion of 8.0 in x 2.146 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (* (pow (cbrt 3.0) 3) (sin (/ -1 x)))) in x 2.146 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 2.146 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.146 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.146 * [taylor]: Taking taylor expansion of -0.5 in x 2.146 * [taylor]: Taking taylor expansion of x in x 2.146 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3.0) 3) (sin (/ -1 x))) in x 2.146 * [taylor]: Taking taylor expansion of (pow (cbrt 3.0) 3) in x 2.146 * [taylor]: Taking taylor expansion of (cbrt 3.0) in x 2.146 * [taylor]: Taking taylor expansion of 3.0 in x 2.147 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.147 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.147 * [taylor]: Taking taylor expansion of -1 in x 2.147 * [taylor]: Taking taylor expansion of x in x 2.151 * [taylor]: Taking taylor expansion of (* 8.0 (/ (pow (sin (/ -0.5 x)) 2) (* (pow (cbrt 3.0) 3) (sin (/ -1 x))))) in x 2.151 * [taylor]: Taking taylor expansion of 8.0 in x 2.151 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -0.5 x)) 2) (* (pow (cbrt 3.0) 3) (sin (/ -1 x)))) in x 2.151 * [taylor]: Taking taylor expansion of (pow (sin (/ -0.5 x)) 2) in x 2.151 * [taylor]: Taking taylor expansion of (sin (/ -0.5 x)) in x 2.151 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.151 * [taylor]: Taking taylor expansion of -0.5 in x 2.151 * [taylor]: Taking taylor expansion of x in x 2.151 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3.0) 3) (sin (/ -1 x))) in x 2.151 * [taylor]: Taking taylor expansion of (pow (cbrt 3.0) 3) in x 2.151 * [taylor]: Taking taylor expansion of (cbrt 3.0) in x 2.151 * [taylor]: Taking taylor expansion of 3.0 in x 2.159 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.159 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.159 * [taylor]: Taking taylor expansion of -1 in x 2.159 * [taylor]: Taking taylor expansion of x in x 2.198 * * * [progress]: simplifying candidates 2.202 * [simplify]: Simplifying using # : (expm1 (/ 8.0 (cbrt 3.0))) (log1p (/ 8.0 (cbrt 3.0))) (- (log 8.0) (log (cbrt 3.0))) (log (/ 8.0 (cbrt 3.0))) (exp (/ 8.0 (cbrt 3.0))) (/ (* (* 8.0 8.0) 8.0) 3.0) (* (cbrt (/ 8.0 (cbrt 3.0))) (cbrt (/ 8.0 (cbrt 3.0)))) (cbrt (/ 8.0 (cbrt 3.0))) (* (* (/ 8.0 (cbrt 3.0)) (/ 8.0 (cbrt 3.0))) (/ 8.0 (cbrt 3.0))) (sqrt (/ 8.0 (cbrt 3.0))) (sqrt (/ 8.0 (cbrt 3.0))) (- 8.0) (- (cbrt 3.0)) (/ (* (cbrt 8.0) (cbrt 8.0)) (cbrt (* (cbrt 3.0) (cbrt 3.0)))) (/ (cbrt 8.0) (cbrt (cbrt 3.0))) (/ (* (cbrt 8.0) (cbrt 8.0)) (cbrt (sqrt 3.0))) (/ (cbrt 8.0) (cbrt (sqrt 3.0))) (/ (* (cbrt 8.0) (cbrt 8.0)) (cbrt 1)) (/ (cbrt 8.0) (cbrt 3.0)) (/ (* (cbrt 8.0) (cbrt 8.0)) (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0)))) (/ (cbrt 8.0) (cbrt (cbrt 3.0))) (/ (* (cbrt 8.0) (cbrt 8.0)) (sqrt (cbrt 3.0))) (/ (cbrt 8.0) (sqrt (cbrt 3.0))) (/ (* (cbrt 8.0) (cbrt 8.0)) 1) (/ (cbrt 8.0) (cbrt 3.0)) (/ (sqrt 8.0) (cbrt (* (cbrt 3.0) (cbrt 3.0)))) (/ (sqrt 8.0) (cbrt (cbrt 3.0))) (/ (sqrt 8.0) (cbrt (sqrt 3.0))) (/ (sqrt 8.0) (cbrt (sqrt 3.0))) (/ (sqrt 8.0) (cbrt 1)) (/ (sqrt 8.0) (cbrt 3.0)) (/ (sqrt 8.0) (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0)))) (/ (sqrt 8.0) (cbrt (cbrt 3.0))) (/ (sqrt 8.0) (sqrt (cbrt 3.0))) (/ (sqrt 8.0) (sqrt (cbrt 3.0))) (/ (sqrt 8.0) 1) (/ (sqrt 8.0) (cbrt 3.0)) (/ 1 (cbrt (* (cbrt 3.0) (cbrt 3.0)))) (/ 8.0 (cbrt (cbrt 3.0))) (/ 1 (cbrt (sqrt 3.0))) (/ 8.0 (cbrt (sqrt 3.0))) (/ 1 (cbrt 1)) (/ 8.0 (cbrt 3.0)) (/ 1 (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0)))) (/ 8.0 (cbrt (cbrt 3.0))) (/ 1 (sqrt (cbrt 3.0))) (/ 8.0 (sqrt (cbrt 3.0))) (/ 1 1) (/ 8.0 (cbrt 3.0)) (/ 1 (cbrt 3.0)) (/ (cbrt 3.0) 8.0) (/ 8.0 (cbrt (* (cbrt 3.0) (cbrt 3.0)))) (/ 8.0 (cbrt (sqrt 3.0))) (/ 8.0 (cbrt 1)) (/ 8.0 (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0)))) (/ 8.0 (sqrt (cbrt 3.0))) (/ 8.0 1) (/ (cbrt 3.0) (cbrt 8.0)) (/ (cbrt 3.0) (sqrt 8.0)) (/ (cbrt 3.0) 8.0) (expm1 (* (/ 8.0 (cbrt 3.0)) (sin (* x 0.5)))) (log1p (* (/ 8.0 (cbrt 3.0)) (sin (* x 0.5)))) (* (/ 8.0 (cbrt 3.0)) (sin (* x 0.5))) (+ (- (log 8.0) (log (cbrt 3.0))) (log (sin (* x 0.5)))) (+ (log (/ 8.0 (cbrt 3.0))) (log (sin (* x 0.5)))) (log (* (/ 8.0 (cbrt 3.0)) (sin (* x 0.5)))) (exp (* (/ 8.0 (cbrt 3.0)) (sin (* x 0.5)))) (* (/ (* (* 8.0 8.0) 8.0) 3.0) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (* (* (/ 8.0 (cbrt 3.0)) (/ 8.0 (cbrt 3.0))) (/ 8.0 (cbrt 3.0))) (* (* (sin (* x 0.5)) (sin (* x 0.5))) (sin (* x 0.5)))) (* (cbrt (* (/ 8.0 (cbrt 3.0)) (sin (* x 0.5)))) (cbrt (* (/ 8.0 (cbrt 3.0)) (sin (* x 0.5))))) (cbrt (* (/ 8.0 (cbrt 3.0)) (sin (* x 0.5)))) (* (* (* (/ 8.0 (cbrt 3.0)) (sin (* x 0.5))) (* (/ 8.0 (cbrt 3.0)) (sin (* x 0.5)))) (* (/ 8.0 (cbrt 3.0)) (sin (* x 0.5)))) (sqrt (* (/ 8.0 (cbrt 3.0)) (sin (* x 0.5)))) (sqrt (* (/ 8.0 (cbrt 3.0)) (sin (* x 0.5)))) (* (sqrt (/ 8.0 (cbrt 3.0))) (sqrt (sin (* x 0.5)))) (* (sqrt (/ 8.0 (cbrt 3.0))) (sqrt (sin (* x 0.5)))) (* (/ (sqrt 8.0) (cbrt (sqrt 3.0))) (sqrt (sin (* x 0.5)))) (* (/ (sqrt 8.0) (cbrt (sqrt 3.0))) (sqrt (sin (* x 0.5)))) (* (/ (sqrt 8.0) (sqrt (cbrt 3.0))) (sqrt (sin (* x 0.5)))) (* (/ (sqrt 8.0) (sqrt (cbrt 3.0))) (sqrt (sin (* x 0.5)))) (* (/ 8.0 (cbrt 3.0)) (* (cbrt (sin (* x 0.5))) (cbrt (sin (* x 0.5))))) (* (/ 8.0 (cbrt 3.0)) (sqrt (sin (* x 0.5)))) (* (/ 8.0 (cbrt 3.0)) 1) (* (cbrt (/ 8.0 (cbrt 3.0))) (sin (* x 0.5))) (* (sqrt (/ 8.0 (cbrt 3.0))) (sin (* x 0.5))) (* (/ (cbrt 8.0) (cbrt (cbrt 3.0))) (sin (* x 0.5))) (* (/ (cbrt 8.0) (cbrt (sqrt 3.0))) (sin (* x 0.5))) (* (/ (cbrt 8.0) (cbrt 3.0)) (sin (* x 0.5))) (* (/ (cbrt 8.0) (cbrt (cbrt 3.0))) (sin (* x 0.5))) (* (/ (cbrt 8.0) (sqrt (cbrt 3.0))) (sin (* x 0.5))) (* (/ (cbrt 8.0) (cbrt 3.0)) (sin (* x 0.5))) (* (/ (sqrt 8.0) (cbrt (cbrt 3.0))) (sin (* x 0.5))) (* (/ (sqrt 8.0) (cbrt (sqrt 3.0))) (sin (* x 0.5))) (* (/ (sqrt 8.0) (cbrt 3.0)) (sin (* x 0.5))) (* (/ (sqrt 8.0) (cbrt (cbrt 3.0))) (sin (* x 0.5))) (* (/ (sqrt 8.0) (sqrt (cbrt 3.0))) (sin (* x 0.5))) (* (/ (sqrt 8.0) (cbrt 3.0)) (sin (* x 0.5))) (* (/ 8.0 (cbrt (cbrt 3.0))) (sin (* x 0.5))) (* (/ 8.0 (cbrt (sqrt 3.0))) (sin (* x 0.5))) (* (/ 8.0 (cbrt 3.0)) (sin (* x 0.5))) (* (/ 8.0 (cbrt (cbrt 3.0))) (sin (* x 0.5))) (* (/ 8.0 (sqrt (cbrt 3.0))) (sin (* x 0.5))) (* (/ 8.0 (cbrt 3.0)) (sin (* x 0.5))) (* (/ 8.0 (cbrt 3.0)) (sin (* x 0.5))) (* (/ 1 (cbrt 3.0)) (sin (* x 0.5))) (* 8.0 (sin (* x 0.5))) (expm1 (* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (* (/ 8.0 (cbrt 3.0)) (sin (* x 0.5))))) (log1p (* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (* (/ 8.0 (cbrt 3.0)) (sin (* x 0.5))))) (* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (* (/ 8.0 (cbrt 3.0)) (sin (* x 0.5)))) (* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (* (/ 8.0 (cbrt 3.0)) (sin (* x 0.5)))) (+ (- (+ (log (cbrt 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(pow (sin (* 0.5 x)) 2) (sin x))) (cbrt 3.0)) (/ (* (pow (sin (* 0.5 x)) 2) (/ 8.0 (cbrt 3.0))) (* (cbrt 3.0) (cbrt 3.0))) (* 8.0 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (/ (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (sin x) (* (pow (sin (* 0.5 x)) 2) 8.0))) (/ (* 8.0 (/ (pow (sin (* 0.5 x)) 2) (sin x))) (cbrt 3.0)) (* (/ 8.0 (cbrt 3.0)) (sin (* x 0.5))) (fma 4.0 (/ x (cbrt 3.0)) (- (* 0.0020833333333333333 (/ (pow x 5) (cbrt 3.0))) (* 0.16666666666666666 (/ (pow x 3) (cbrt 3.0))))) (* (/ 8.0 (cbrt 3.0)) (sin (* x 0.5))) (* (/ 8.0 (cbrt 3.0)) (sin (* x 0.5))) (fma x 1.3333333333333333 (- (* 0.0006944444444444445 (pow x 5)) (* 0.05555555555555555 (pow x 3)))) (* 2.6666666666666665 (sin (* 0.5 x))) (* 2.6666666666666665 (sin (* 0.5 x))) (fma 0.05555555555555555 (pow x 3) (fma 0.005555555555555556 (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))) 2.256 * * * [progress]: adding candidates to table 2.768 * [progress]: [Phase 3 of 3] Extracting. 2.768 * * [regime]: Finding splitpoints for: (# # # # # # # # # #) 2.771 * * * [regime-changes]: Trying 2 branch expressions: ((/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x)) x) 2.771 * * * * [regimes]: Trying to branch on (/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x)) from (# # # # # # # # # #) 2.827 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # #) 2.864 * * * [regime]: Found split indices: #