10.994 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.126 * * * [progress]: [2/2] Setting up program. 0.128 * [progress]: [Phase 2 of 3] Improving. 0.128 * [simplify]: Simplifying using # : (/ (- 1.0 (cos x)) (sin x)) 0.131 * * [simplify]: iteration 0 : 11 enodes (cost 4 ) 0.132 * * [simplify]: iteration 1 : 14 enodes (cost 4 ) 0.133 * * [simplify]: iteration 2 : 16 enodes (cost 4 ) 0.134 * * [simplify]: iteration 3 : 16 enodes (cost 4 ) 0.134 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (sin x)) 0.134 * * [progress]: iteration 1 / 4 0.135 * * * [progress]: picking best candidate 0.136 * * * * [pick]: Picked # 0.136 * * * [progress]: localizing error 0.143 * * * [progress]: generating rewritten candidates 0.143 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.148 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.162 * * * [progress]: generating series expansions 0.162 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.162 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.162 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.162 * [taylor]: Taking taylor expansion of 1.0 in x 0.163 * [taylor]: Taking taylor expansion of (cos x) in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.163 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.163 * [taylor]: Taking taylor expansion of 1.0 in x 0.163 * [taylor]: Taking taylor expansion of (cos x) in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.174 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.174 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.174 * [taylor]: Taking taylor expansion of 1.0 in x 0.174 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.174 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.174 * [taylor]: Taking taylor expansion of x in x 0.175 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.175 * [taylor]: Taking taylor expansion of 1.0 in x 0.175 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.175 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.175 * [taylor]: Taking taylor expansion of x in x 0.179 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.179 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.179 * [taylor]: Taking taylor expansion of 1.0 in x 0.179 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.179 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.179 * [taylor]: Taking taylor expansion of -1 in x 0.179 * [taylor]: Taking taylor expansion of x in x 0.179 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.179 * [taylor]: Taking taylor expansion of 1.0 in x 0.179 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.179 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.179 * [taylor]: Taking taylor expansion of -1 in x 0.179 * [taylor]: Taking taylor expansion of x in x 0.183 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.183 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 0.183 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.183 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.183 * [taylor]: Taking taylor expansion of 1.0 in x 0.183 * [taylor]: Taking taylor expansion of (cos x) in x 0.183 * [taylor]: Taking taylor expansion of x in x 0.183 * [taylor]: Taking taylor expansion of (sin x) in x 0.183 * [taylor]: Taking taylor expansion of x in x 0.186 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.186 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.186 * [taylor]: Taking taylor expansion of 1.0 in x 0.186 * [taylor]: Taking taylor expansion of (cos x) in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.186 * [taylor]: Taking taylor expansion of (sin x) in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.205 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 0.205 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.205 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.205 * [taylor]: Taking taylor expansion of 1.0 in x 0.205 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.205 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.205 * [taylor]: Taking taylor expansion of x in x 0.205 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.205 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.205 * [taylor]: Taking taylor expansion of x in x 0.206 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.206 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.206 * [taylor]: Taking taylor expansion of 1.0 in x 0.206 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.206 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.206 * [taylor]: Taking taylor expansion of x in x 0.206 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.206 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.206 * [taylor]: Taking taylor expansion of x in x 0.212 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 0.212 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.212 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.212 * [taylor]: Taking taylor expansion of 1.0 in x 0.212 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.212 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.212 * [taylor]: Taking taylor expansion of -1 in x 0.212 * [taylor]: Taking taylor expansion of x in x 0.212 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.212 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.212 * [taylor]: Taking taylor expansion of -1 in x 0.212 * [taylor]: Taking taylor expansion of x in x 0.213 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.213 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.213 * [taylor]: Taking taylor expansion of 1.0 in x 0.213 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.213 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.213 * [taylor]: Taking taylor expansion of -1 in x 0.213 * [taylor]: Taking taylor expansion of x in x 0.213 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.213 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.213 * [taylor]: Taking taylor expansion of -1 in x 0.213 * [taylor]: Taking taylor expansion of x in x 0.219 * * * [progress]: simplifying candidates 0.220 * [simplify]: Simplifying using # : (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma 1 1.0 (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma 1 1.0 (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma 1 1.0 (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (expm1 (/ (- 1.0 (cos x)) (sin x))) (log1p (/ (- 1.0 (cos x)) (sin x))) (- (log (- 1.0 (cos x))) (log (sin x))) (log (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin x))) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* (sin x) (sin x)) (sin x))) (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x)))) (cbrt (/ (- 1.0 (cos x)) (sin x))) (* (* (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x))) (/ (- 1.0 (cos x)) (sin x))) (sqrt (/ (- 1.0 (cos x)) (sin x))) (sqrt (/ (- 1.0 (cos x)) (sin x))) (- (- 1.0 (cos x))) (- (sin x)) (/ 1.0 (sin x)) (/ (cos x) (sin x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (sin x))) (/ (cbrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1) (/ (cbrt (- 1.0 (cos x))) (sin x)) (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) 1) (/ (sqrt (- 1.0 (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ 1 1) (/ (- 1.0 (cos x)) (sin x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) 1) (/ (- (sqrt 1.0) (sqrt (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ 1 1) (/ (- 1.0 (cos x)) (sin x)) (/ 1 (sin x)) (/ (sin x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ (- 1.0 (cos x)) 1) (/ (sin x) (cbrt (- 1.0 (cos x)))) (/ (sin x) (sqrt (- 1.0 (cos x)))) (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (sin x) (- 1.0 (cos x))) (* (sin x) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (* (sin x) (+ 1.0 (cos x))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) 0.225 * * [simplify]: iteration 0 : 289 enodes (cost 569 ) 0.230 * * [simplify]: iteration 1 : 941 enodes (cost 460 ) 0.251 * * [simplify]: iteration 2 : 5001 enodes (cost 460 ) 0.254 * [simplify]: Simplified to: (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (cos x)) (fma (- (cos x)) 1 (cos x)) (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (cos x)) (fma (- (cos x)) 1 (cos x)) (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (cos x)) (fma (- (cos x)) 1 (cos x)) (- 1.0 (cos x)) (fma (- (cos x)) 1 (cos x)) (- 1.0 (cos x)) (fma (- (cos x)) 1 (cos x)) (- 1.0 (cos x)) (fma (- (cos x)) 1 (cos x)) (- 1.0 (cos x)) (fma (- (cos x)) 1 (cos x)) (- 1.0 (cos x)) (fma (- (cos x)) 1 (cos x)) (- 1.0 (cos x)) (fma (- (cos x)) 1 (cos x)) (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0)) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (expm1 (/ (- 1.0 (cos x)) (sin x))) (log1p (/ (- 1.0 (cos x)) (sin x))) (log (/ (- 1.0 (cos x)) (sin x))) (log (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin x))) (pow (/ (- 1.0 (cos x)) (sin x)) 3) (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x)))) (cbrt (/ (- 1.0 (cos x)) (sin x))) (pow (/ (- 1.0 (cos x)) (sin x)) 3) (sqrt (/ (- 1.0 (cos x)) (sin x))) (sqrt (/ (- 1.0 (cos x)) (sin x))) (- (- 1.0 (cos x))) (- (sin x)) (/ 1.0 (sin x)) (/ (cos x) (sin x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (sin x))) (/ (cbrt (- 1.0 (cos x))) (sqrt (sin x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (/ (cbrt (- 1.0 (cos x))) (sin x)) (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) 1 (/ (- 1.0 (cos x)) (sin x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (+ (sqrt 1.0) (sqrt (cos x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) 1 (/ (- 1.0 (cos x)) (sin x)) (/ 1 (sin x)) (/ (sin x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (- 1.0 (cos x)) (/ (sin x) (cbrt (- 1.0 (cos x)))) (/ (sin x) (sqrt (- 1.0 (cos x)))) (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (sin x) (- 1.0 (cos x))) (* (fma 1.0 1.0 (fma (cos x) (cos x) (* 1.0 (cos x)))) (sin x)) (* (sin x) (+ 1.0 (cos x))) (fma (pow x 2) 1/2 (- (* 1/720 (pow x 6)) (* 1/24 (pow x 4)))) (- 1.0 (cos x)) (- 1.0 (cos x)) (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) 0.255 * * * [progress]: adding candidates to table 0.381 * * [progress]: iteration 2 / 4 0.381 * * * [progress]: picking best candidate 0.410 * * * * [pick]: Picked # 0.410 * * * [progress]: localizing error 0.420 * * * [progress]: generating rewritten candidates 0.420 * * * * [progress]: [ 1 / 2 ] rewriting at (2 3) 0.421 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.422 * * * [progress]: generating series expansions 0.422 * * * * [progress]: [ 1 / 2 ] generating series at (2 3) 0.422 * [approximate]: Taking taylor expansion of (fma 1/240 (pow x 5) (* 1/2 x)) in (x) around 0 0.422 * [taylor]: Taking taylor expansion of (fma 1/240 (pow x 5) (* 1/2 x)) in x 0.422 * [taylor]: Rewrote expression to (+ (* 1/240 (pow x 5)) (* 1/2 x)) 0.422 * [taylor]: Taking taylor expansion of (* 1/240 (pow x 5)) in x 0.422 * [taylor]: Taking taylor expansion of 1/240 in x 0.422 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.422 * [taylor]: Taking taylor expansion of x in x 0.422 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.422 * [taylor]: Taking taylor expansion of 1/2 in x 0.422 * [taylor]: Taking taylor expansion of x in x 0.422 * [taylor]: Taking taylor expansion of (fma 1/240 (pow x 5) (* 1/2 x)) in x 0.422 * [taylor]: Rewrote expression to (+ (* 1/240 (pow x 5)) (* 1/2 x)) 0.422 * [taylor]: Taking taylor expansion of (* 1/240 (pow x 5)) in x 0.422 * [taylor]: Taking taylor expansion of 1/240 in x 0.422 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.422 * [taylor]: Taking taylor expansion of x in x 0.422 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.422 * [taylor]: Taking taylor expansion of 1/2 in x 0.422 * [taylor]: Taking taylor expansion of x in x 0.455 * [approximate]: Taking taylor expansion of (fma 1/240 (pow (/ 1 x) 5) (/ 1/2 x)) in (x) around 0 0.455 * [taylor]: Taking taylor expansion of (fma 1/240 (pow (/ 1 x) 5) (/ 1/2 x)) in x 0.455 * [taylor]: Rewrote expression to (+ (* 1/240 (pow (/ 1 x) 5)) (/ 1/2 x)) 0.455 * [taylor]: Taking taylor expansion of (* 1/240 (pow (/ 1 x) 5)) in x 0.455 * [taylor]: Taking taylor expansion of 1/240 in x 0.455 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 5) in x 0.455 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.455 * [taylor]: Taking taylor expansion of x in x 0.455 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 0.455 * [taylor]: Taking taylor expansion of 1/2 in x 0.455 * [taylor]: Taking taylor expansion of x in x 0.456 * [taylor]: Taking taylor expansion of (fma 1/240 (pow (/ 1 x) 5) (/ 1/2 x)) in x 0.456 * [taylor]: Rewrote expression to (+ (* 1/240 (pow (/ 1 x) 5)) (/ 1/2 x)) 0.456 * [taylor]: Taking taylor expansion of (* 1/240 (pow (/ 1 x) 5)) in x 0.456 * [taylor]: Taking taylor expansion of 1/240 in x 0.456 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 5) in x 0.456 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.456 * [taylor]: Taking taylor expansion of x in x 0.456 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 0.456 * [taylor]: Taking taylor expansion of 1/2 in x 0.456 * [taylor]: Taking taylor expansion of x in x 0.499 * [approximate]: Taking taylor expansion of (fma 1/240 (pow (/ -1 x) 5) (/ -1/2 x)) in (x) around 0 0.499 * [taylor]: Taking taylor expansion of (fma 1/240 (pow (/ -1 x) 5) (/ -1/2 x)) in x 0.499 * [taylor]: Rewrote expression to (+ (* 1/240 (pow (/ -1 x) 5)) (/ -1/2 x)) 0.499 * [taylor]: Taking taylor expansion of (* 1/240 (pow (/ -1 x) 5)) in x 0.499 * [taylor]: Taking taylor expansion of 1/240 in x 0.499 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 5) in x 0.499 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.499 * [taylor]: Taking taylor expansion of -1 in x 0.499 * [taylor]: Taking taylor expansion of x in x 0.499 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 0.499 * [taylor]: Taking taylor expansion of -1/2 in x 0.499 * [taylor]: Taking taylor expansion of x in x 0.500 * [taylor]: Taking taylor expansion of (fma 1/240 (pow (/ -1 x) 5) (/ -1/2 x)) in x 0.500 * [taylor]: Rewrote expression to (+ (* 1/240 (pow (/ -1 x) 5)) (/ -1/2 x)) 0.500 * [taylor]: Taking taylor expansion of (* 1/240 (pow (/ -1 x) 5)) in x 0.500 * [taylor]: Taking taylor expansion of 1/240 in x 0.500 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 5) in x 0.500 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.500 * [taylor]: Taking taylor expansion of -1 in x 0.500 * [taylor]: Taking taylor expansion of x in x 0.500 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 0.500 * [taylor]: Taking taylor expansion of -1/2 in x 0.500 * [taylor]: Taking taylor expansion of x in x 0.550 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.550 * [approximate]: Taking taylor expansion of (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x))) in (x) around 0 0.550 * [taylor]: Taking taylor expansion of (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x))) in x 0.550 * [taylor]: Rewrote expression to (+ (* 1/24 (pow x 3)) (fma 1/240 (pow x 5) (* 1/2 x))) 0.550 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 3)) in x 0.550 * [taylor]: Taking taylor expansion of 1/24 in x 0.550 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.550 * [taylor]: Taking taylor expansion of x in x 0.550 * [taylor]: Taking taylor expansion of (fma 1/240 (pow x 5) (* 1/2 x)) in x 0.550 * [taylor]: Rewrote expression to (+ (* 1/240 (pow x 5)) (* 1/2 x)) 0.550 * [taylor]: Taking taylor expansion of (* 1/240 (pow x 5)) in x 0.550 * [taylor]: Taking taylor expansion of 1/240 in x 0.550 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.550 * [taylor]: Taking taylor expansion of x in x 0.550 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.550 * [taylor]: Taking taylor expansion of 1/2 in x 0.550 * [taylor]: Taking taylor expansion of x in x 0.550 * [taylor]: Taking taylor expansion of (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x))) in x 0.551 * [taylor]: Rewrote expression to (+ (* 1/24 (pow x 3)) (fma 1/240 (pow x 5) (* 1/2 x))) 0.551 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 3)) in x 0.551 * [taylor]: Taking taylor expansion of 1/24 in x 0.551 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.551 * [taylor]: Taking taylor expansion of x in x 0.551 * [taylor]: Taking taylor expansion of (fma 1/240 (pow x 5) (* 1/2 x)) in x 0.551 * [taylor]: Rewrote expression to (+ (* 1/240 (pow x 5)) (* 1/2 x)) 0.551 * [taylor]: Taking taylor expansion of (* 1/240 (pow x 5)) in x 0.551 * [taylor]: Taking taylor expansion of 1/240 in x 0.551 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.551 * [taylor]: Taking taylor expansion of x in x 0.551 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.551 * [taylor]: Taking taylor expansion of 1/2 in x 0.551 * [taylor]: Taking taylor expansion of x in x 0.562 * [approximate]: Taking taylor expansion of (fma 1/24 (pow (/ 1 x) 3) (fma 1/240 (pow (/ 1 x) 5) (/ 1/2 x))) in (x) around 0 0.562 * [taylor]: Taking taylor expansion of (fma 1/24 (pow (/ 1 x) 3) (fma 1/240 (pow (/ 1 x) 5) (/ 1/2 x))) in x 0.562 * [taylor]: Rewrote expression to (+ (* 1/24 (pow (/ 1 x) 3)) (fma 1/240 (pow (/ 1 x) 5) (/ 1/2 x))) 0.562 * [taylor]: Taking taylor expansion of (* 1/24 (pow (/ 1 x) 3)) in x 0.562 * [taylor]: Taking taylor expansion of 1/24 in x 0.563 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 3) in x 0.563 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.563 * [taylor]: Taking taylor expansion of x in x 0.563 * [taylor]: Taking taylor expansion of (fma 1/240 (pow (/ 1 x) 5) (/ 1/2 x)) in x 0.563 * [taylor]: Rewrote expression to (+ (* 1/240 (pow (/ 1 x) 5)) (/ 1/2 x)) 0.563 * [taylor]: Taking taylor expansion of (* 1/240 (pow (/ 1 x) 5)) in x 0.563 * [taylor]: Taking taylor expansion of 1/240 in x 0.563 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 5) in x 0.563 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.563 * [taylor]: Taking taylor expansion of x in x 0.563 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 0.563 * [taylor]: Taking taylor expansion of 1/2 in x 0.563 * [taylor]: Taking taylor expansion of x in x 0.564 * [taylor]: Taking taylor expansion of (fma 1/24 (pow (/ 1 x) 3) (fma 1/240 (pow (/ 1 x) 5) (/ 1/2 x))) in x 0.564 * [taylor]: Rewrote expression to (+ (* 1/24 (pow (/ 1 x) 3)) (fma 1/240 (pow (/ 1 x) 5) (/ 1/2 x))) 0.564 * [taylor]: Taking taylor expansion of (* 1/24 (pow (/ 1 x) 3)) in x 0.564 * [taylor]: Taking taylor expansion of 1/24 in x 0.564 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 3) in x 0.564 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.564 * [taylor]: Taking taylor expansion of x in x 0.564 * [taylor]: Taking taylor expansion of (fma 1/240 (pow (/ 1 x) 5) (/ 1/2 x)) in x 0.564 * [taylor]: Rewrote expression to (+ (* 1/240 (pow (/ 1 x) 5)) (/ 1/2 x)) 0.564 * [taylor]: Taking taylor expansion of (* 1/240 (pow (/ 1 x) 5)) in x 0.564 * [taylor]: Taking taylor expansion of 1/240 in x 0.564 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 5) in x 0.564 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.564 * [taylor]: Taking taylor expansion of x in x 0.565 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 0.565 * [taylor]: Taking taylor expansion of 1/2 in x 0.565 * [taylor]: Taking taylor expansion of x in x 0.590 * [approximate]: Taking taylor expansion of (fma 1/24 (pow (/ -1 x) 3) (fma 1/240 (pow (/ -1 x) 5) (/ -1/2 x))) in (x) around 0 0.590 * [taylor]: Taking taylor expansion of (fma 1/24 (pow (/ -1 x) 3) (fma 1/240 (pow (/ -1 x) 5) (/ -1/2 x))) in x 0.590 * [taylor]: Rewrote expression to (+ (* 1/24 (pow (/ -1 x) 3)) (fma 1/240 (pow (/ -1 x) 5) (/ -1/2 x))) 0.590 * [taylor]: Taking taylor expansion of (* 1/24 (pow (/ -1 x) 3)) in x 0.590 * [taylor]: Taking taylor expansion of 1/24 in x 0.590 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 3) in x 0.590 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.590 * [taylor]: Taking taylor expansion of -1 in x 0.590 * [taylor]: Taking taylor expansion of x in x 0.590 * [taylor]: Taking taylor expansion of (fma 1/240 (pow (/ -1 x) 5) (/ -1/2 x)) in x 0.590 * [taylor]: Rewrote expression to (+ (* 1/240 (pow (/ -1 x) 5)) (/ -1/2 x)) 0.590 * [taylor]: Taking taylor expansion of (* 1/240 (pow (/ -1 x) 5)) in x 0.590 * [taylor]: Taking taylor expansion of 1/240 in x 0.590 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 5) in x 0.590 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.591 * [taylor]: Taking taylor expansion of -1 in x 0.591 * [taylor]: Taking taylor expansion of x in x 0.591 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 0.591 * [taylor]: Taking taylor expansion of -1/2 in x 0.591 * [taylor]: Taking taylor expansion of x in x 0.591 * [taylor]: Taking taylor expansion of (fma 1/24 (pow (/ -1 x) 3) (fma 1/240 (pow (/ -1 x) 5) (/ -1/2 x))) in x 0.591 * [taylor]: Rewrote expression to (+ (* 1/24 (pow (/ -1 x) 3)) (fma 1/240 (pow (/ -1 x) 5) (/ -1/2 x))) 0.591 * [taylor]: Taking taylor expansion of (* 1/24 (pow (/ -1 x) 3)) in x 0.591 * [taylor]: Taking taylor expansion of 1/24 in x 0.591 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 3) in x 0.591 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.591 * [taylor]: Taking taylor expansion of -1 in x 0.591 * [taylor]: Taking taylor expansion of x in x 0.592 * [taylor]: Taking taylor expansion of (fma 1/240 (pow (/ -1 x) 5) (/ -1/2 x)) in x 0.592 * [taylor]: Rewrote expression to (+ (* 1/240 (pow (/ -1 x) 5)) (/ -1/2 x)) 0.592 * [taylor]: Taking taylor expansion of (* 1/240 (pow (/ -1 x) 5)) in x 0.592 * [taylor]: Taking taylor expansion of 1/240 in x 0.592 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 5) in x 0.592 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.592 * [taylor]: Taking taylor expansion of -1 in x 0.592 * [taylor]: Taking taylor expansion of x in x 0.592 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 0.592 * [taylor]: Taking taylor expansion of -1/2 in x 0.592 * [taylor]: Taking taylor expansion of x in x 0.612 * * * [progress]: simplifying candidates 0.613 * [simplify]: Simplifying using # : (expm1 (fma 1/240 (pow x 5) (* 1/2 x))) (log1p (fma 1/240 (pow x 5) (* 1/2 x))) (* 1/240 (pow x 5)) (log (fma 1/240 (pow x 5) (* 1/2 x))) (exp (fma 1/240 (pow x 5) (* 1/2 x))) (* (cbrt (fma 1/240 (pow x 5) (* 1/2 x))) (cbrt (fma 1/240 (pow x 5) (* 1/2 x)))) (cbrt (fma 1/240 (pow x 5) (* 1/2 x))) (* (* (fma 1/240 (pow x 5) (* 1/2 x)) (fma 1/240 (pow x 5) (* 1/2 x))) (fma 1/240 (pow x 5) (* 1/2 x))) (sqrt (fma 1/240 (pow x 5) (* 1/2 x))) (sqrt (fma 1/240 (pow x 5) (* 1/2 x))) (expm1 (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x)))) (log1p (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x)))) (* 1/24 (pow x 3)) (log (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x)))) (exp (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x)))) (* (cbrt (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x)))) (cbrt (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x))))) (cbrt (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x)))) (* (* (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x))) (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x)))) (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x)))) (sqrt (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x)))) (sqrt (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x)))) (+ (* 1/2 x) (* 1/240 (pow x 5))) (+ (* 1/2 x) (* 1/240 (pow x 5))) (+ (* 1/2 x) (* 1/240 (pow x 5))) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (+ (* 1/2 x) (+ (* 1/24 (pow x 3)) (* 1/240 (pow x 5)))) (+ (* 1/2 x) (+ (* 1/24 (pow x 3)) (* 1/240 (pow x 5)))) 0.616 * * [simplify]: iteration 0 : 60 enodes (cost 148 ) 0.618 * * [simplify]: iteration 1 : 184 enodes (cost 130 ) 0.623 * * [simplify]: iteration 2 : 979 enodes (cost 130 ) 0.645 * * [simplify]: iteration 3 : 5001 enodes (cost 130 ) 0.646 * [simplify]: Simplified to: (expm1 (fma 1/240 (pow x 5) (* 1/2 x))) (log1p (fma 1/240 (pow x 5) (* 1/2 x))) (* 1/240 (pow x 5)) (log (fma 1/240 (pow x 5) (* 1/2 x))) (exp (fma 1/240 (pow x 5) (* 1/2 x))) (* (cbrt (fma 1/240 (pow x 5) (* 1/2 x))) (cbrt (fma 1/240 (pow x 5) (* 1/2 x)))) (cbrt (fma 1/240 (pow x 5) (* 1/2 x))) (pow (fma 1/2 x (* 1/240 (pow x 5))) 3) (sqrt (fma 1/240 (pow x 5) (* 1/2 x))) (sqrt (fma 1/240 (pow x 5) (* 1/2 x))) (expm1 (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x)))) (log1p (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x)))) (* 1/24 (pow x 3)) (log (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x)))) (exp (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x)))) (* (cbrt (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x)))) (cbrt (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x))))) (cbrt (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x)))) (pow (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x))) 3) (sqrt (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x)))) (sqrt (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x)))) (fma 1/2 x (* 1/240 (pow x 5))) (fma 1/2 x (* 1/240 (pow x 5))) (fma 1/2 x (* 1/240 (pow x 5))) (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x))) (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x))) (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x))) 0.647 * * * [progress]: adding candidates to table 0.704 * * [progress]: iteration 3 / 4 0.704 * * * [progress]: picking best candidate 0.730 * * * * [pick]: Picked # 0.730 * * * [progress]: localizing error 0.740 * * * [progress]: generating rewritten candidates 0.740 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 0.745 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.756 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.763 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.775 * * * [progress]: generating series expansions 0.775 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 0.775 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.775 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.775 * [taylor]: Taking taylor expansion of 1.0 in x 0.775 * [taylor]: Taking taylor expansion of (cos x) in x 0.775 * [taylor]: Taking taylor expansion of x in x 0.775 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.775 * [taylor]: Taking taylor expansion of 1.0 in x 0.775 * [taylor]: Taking taylor expansion of (cos x) in x 0.775 * [taylor]: Taking taylor expansion of x in x 0.786 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.786 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.786 * [taylor]: Taking taylor expansion of 1.0 in x 0.786 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.786 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.786 * [taylor]: Taking taylor expansion of x in x 0.787 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.787 * [taylor]: Taking taylor expansion of 1.0 in x 0.787 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.787 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.787 * [taylor]: Taking taylor expansion of x in x 0.790 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.790 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.790 * [taylor]: Taking taylor expansion of 1.0 in x 0.791 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.791 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.791 * [taylor]: Taking taylor expansion of -1 in x 0.791 * [taylor]: Taking taylor expansion of x in x 0.791 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.791 * [taylor]: Taking taylor expansion of 1.0 in x 0.791 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.791 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.791 * [taylor]: Taking taylor expansion of -1 in x 0.791 * [taylor]: Taking taylor expansion of x in x 0.795 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.795 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 0.795 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.795 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.795 * [taylor]: Taking taylor expansion of 1.0 in x 0.795 * [taylor]: Taking taylor expansion of (cos x) in x 0.795 * [taylor]: Taking taylor expansion of x in x 0.795 * [taylor]: Taking taylor expansion of (sin x) in x 0.795 * [taylor]: Taking taylor expansion of x in x 0.798 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.798 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.798 * [taylor]: Taking taylor expansion of 1.0 in x 0.798 * [taylor]: Taking taylor expansion of (cos x) in x 0.798 * [taylor]: Taking taylor expansion of x in x 0.798 * [taylor]: Taking taylor expansion of (sin x) in x 0.798 * [taylor]: Taking taylor expansion of x in x 0.816 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 0.816 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.816 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.816 * [taylor]: Taking taylor expansion of 1.0 in x 0.816 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.816 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.816 * [taylor]: Taking taylor expansion of x in x 0.817 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.817 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.817 * [taylor]: Taking taylor expansion of x in x 0.817 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.817 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.817 * [taylor]: Taking taylor expansion of 1.0 in x 0.817 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.817 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.817 * [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 x in x 0.823 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 0.823 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.823 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.824 * [taylor]: Taking taylor expansion of 1.0 in x 0.824 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.824 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.824 * [taylor]: Taking taylor expansion of -1 in x 0.824 * [taylor]: Taking taylor expansion of x in x 0.824 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.824 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.824 * [taylor]: Taking taylor expansion of -1 in x 0.824 * [taylor]: Taking taylor expansion of x in x 0.825 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.825 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.825 * [taylor]: Taking taylor expansion of 1.0 in x 0.825 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.825 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.825 * [taylor]: Taking taylor expansion of -1 in x 0.825 * [taylor]: Taking taylor expansion of x in x 0.825 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.825 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.825 * [taylor]: Taking taylor expansion of -1 in x 0.825 * [taylor]: Taking taylor expansion of x in x 0.835 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.836 * [approximate]: Taking taylor expansion of (exp (/ (- 1.0 (cos x)) (sin x))) in (x) around 0 0.836 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos x)) (sin x))) in x 0.836 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.836 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.836 * [taylor]: Taking taylor expansion of 1.0 in x 0.836 * [taylor]: Taking taylor expansion of (cos x) in x 0.836 * [taylor]: Taking taylor expansion of x in x 0.836 * [taylor]: Taking taylor expansion of (sin x) in x 0.836 * [taylor]: Taking taylor expansion of x in x 0.839 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos x)) (sin x))) in x 0.839 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.839 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.839 * [taylor]: Taking taylor expansion of 1.0 in x 0.839 * [taylor]: Taking taylor expansion of (cos x) in x 0.839 * [taylor]: Taking taylor expansion of x in x 0.839 * [taylor]: Taking taylor expansion of (sin x) in x 0.839 * [taylor]: Taking taylor expansion of x in x 0.847 * [approximate]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) in (x) around 0 0.847 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) in x 0.847 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.847 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.847 * [taylor]: Taking taylor expansion of 1.0 in x 0.847 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.847 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.847 * [taylor]: Taking taylor expansion of x in x 0.847 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.847 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.847 * [taylor]: Taking taylor expansion of x in x 0.848 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) in x 0.848 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.848 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.848 * [taylor]: Taking taylor expansion of 1.0 in x 0.848 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.848 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.848 * [taylor]: Taking taylor expansion of x in x 0.848 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.848 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.848 * [taylor]: Taking taylor expansion of x in x 0.863 * [approximate]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) in (x) around 0 0.863 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) in x 0.863 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.863 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.863 * [taylor]: Taking taylor expansion of 1.0 in x 0.863 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.863 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.863 * [taylor]: Taking taylor expansion of -1 in x 0.863 * [taylor]: Taking taylor expansion of x in x 0.864 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.864 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.864 * [taylor]: Taking taylor expansion of -1 in x 0.864 * [taylor]: Taking taylor expansion of x in x 0.864 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) in x 0.864 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.864 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.864 * [taylor]: Taking taylor expansion of 1.0 in x 0.864 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.864 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.864 * [taylor]: Taking taylor expansion of -1 in x 0.864 * [taylor]: Taking taylor expansion of x in x 0.865 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.865 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.865 * [taylor]: Taking taylor expansion of -1 in x 0.865 * [taylor]: Taking taylor expansion of x in x 0.879 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 0.880 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 0.880 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.880 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.880 * [taylor]: Taking taylor expansion of 1.0 in x 0.880 * [taylor]: Taking taylor expansion of (cos x) in x 0.880 * [taylor]: Taking taylor expansion of x in x 0.880 * [taylor]: Taking taylor expansion of (sin x) in x 0.880 * [taylor]: Taking taylor expansion of x in x 0.883 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.883 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.883 * [taylor]: Taking taylor expansion of 1.0 in x 0.883 * [taylor]: Taking taylor expansion of (cos x) in x 0.883 * [taylor]: Taking taylor expansion of x in x 0.883 * [taylor]: Taking taylor expansion of (sin x) in x 0.883 * [taylor]: Taking taylor expansion of x in x 0.901 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 0.901 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.901 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.901 * [taylor]: Taking taylor expansion of 1.0 in x 0.901 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.901 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.901 * [taylor]: Taking taylor expansion of x in x 0.902 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.902 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.902 * [taylor]: Taking taylor expansion of x in x 0.902 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.902 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.902 * [taylor]: Taking taylor expansion of 1.0 in x 0.902 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.902 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.902 * [taylor]: Taking taylor expansion of x in x 0.903 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.903 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.903 * [taylor]: Taking taylor expansion of x in x 0.908 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 0.908 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.908 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.908 * [taylor]: Taking taylor expansion of 1.0 in x 0.908 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.908 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.908 * [taylor]: Taking taylor expansion of -1 in x 0.908 * [taylor]: Taking taylor expansion of x in x 0.909 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.909 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.909 * [taylor]: Taking taylor expansion of -1 in x 0.909 * [taylor]: Taking taylor expansion of x in x 0.909 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.909 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.909 * [taylor]: Taking taylor expansion of 1.0 in x 0.909 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.909 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.909 * [taylor]: Taking taylor expansion of -1 in x 0.909 * [taylor]: Taking taylor expansion of x in x 0.910 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.910 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.910 * [taylor]: Taking taylor expansion of -1 in x 0.910 * [taylor]: Taking taylor expansion of x in x 0.920 * * * [progress]: simplifying candidates 0.922 * [simplify]: Simplifying using # : (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma 1 1.0 (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma 1 1.0 (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma 1 1.0 (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (expm1 (log (exp (/ (- 1.0 (cos x)) (sin x))))) (log1p (log (exp (/ (- 1.0 (cos x)) (sin x))))) (log (* (cbrt (exp (/ (- 1.0 (cos x)) (sin x)))) (cbrt (exp (/ (- 1.0 (cos x)) (sin x)))))) (log (cbrt (exp (/ (- 1.0 (cos x)) (sin x))))) (log (sqrt (exp (/ (- 1.0 (cos x)) (sin x))))) (log (sqrt (exp (/ (- 1.0 (cos x)) (sin x))))) (log 1) (log (exp (/ (- 1.0 (cos x)) (sin x)))) (log (exp (/ 1.0 (sin x)))) (log (exp (/ (cos x) (sin x)))) (log (exp (/ (- 1.0 (cos x)) (sin x)))) (log (exp (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x)))))) (log (exp (sqrt (/ (- 1.0 (cos x)) (sin x))))) (log (exp (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))))) (log (exp (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (sin x))))) (log (exp (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1))) (log (exp (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))))) (log (exp (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))))) (log (exp (/ (sqrt (- 1.0 (cos x))) 1))) (log (exp (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))))) (log (exp (/ 1 (sqrt (sin x))))) (log (exp (/ 1 1))) (log (exp (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))))) (log (exp (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))))) (log (exp (/ (+ (sqrt 1.0) (sqrt (cos x))) 1))) (log (exp (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))))) (log (exp (/ 1 (sqrt (sin x))))) (log (exp (/ 1 1))) (log (exp 1)) (log (exp (- 1.0 (cos x)))) (log (log (exp (/ (- 1.0 (cos x)) (sin x))))) (exp (log (exp (/ (- 1.0 (cos x)) (sin x))))) (* (cbrt (log (exp (/ (- 1.0 (cos x)) (sin x))))) (cbrt (log (exp (/ (- 1.0 (cos x)) (sin x)))))) (cbrt (log (exp (/ (- 1.0 (cos x)) (sin x))))) (* (* (log (exp (/ (- 1.0 (cos x)) (sin x)))) (log (exp (/ (- 1.0 (cos x)) (sin x))))) (log (exp (/ (- 1.0 (cos x)) (sin x))))) (sqrt (log (exp (/ (- 1.0 (cos x)) (sin x))))) (sqrt (log (exp (/ (- 1.0 (cos x)) (sin x))))) (expm1 (exp (/ (- 1.0 (cos x)) (sin x)))) (log1p (exp (/ (- 1.0 (cos x)) (sin x)))) (exp (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x))))) (exp (sqrt (/ (- 1.0 (cos x)) (sin x)))) (exp (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (sin x)))) (exp (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1)) (exp (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x)))) (exp (/ (sqrt (- 1.0 (cos x))) 1)) (exp (/ 1 (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ 1 (sqrt (sin x)))) (exp (/ 1 1)) (exp (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x)))) (exp (/ (+ (sqrt 1.0) (sqrt (cos x))) 1)) (exp (/ 1 (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ 1 (sqrt (sin x)))) (exp (/ 1 1)) (exp 1) (exp (- 1.0 (cos x))) (exp (/ 1.0 (sin x))) (exp (/ (cos x) (sin x))) (log (exp (/ (- 1.0 (cos x)) (sin x)))) (exp (exp (/ (- 1.0 (cos x)) (sin x)))) 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(cbrt (sin x)))) (/ (cbrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (sin x))) (/ (cbrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1) (/ (cbrt (- 1.0 (cos x))) (sin x)) (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) 1) (/ (sqrt (- 1.0 (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ 1 1) (/ (- 1.0 (cos x)) (sin x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) 1) (/ (- (sqrt 1.0) (sqrt (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ 1 1) (/ (- 1.0 (cos x)) (sin x)) (/ 1 (sin x)) (/ (sin x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ (- 1.0 (cos x)) 1) (/ (sin x) (cbrt (- 1.0 (cos x)))) (/ (sin x) (sqrt (- 1.0 (cos x)))) (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (sin x) (- 1.0 (cos x))) (* (sin x) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (* (sin x) (+ 1.0 (cos x))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) (+ (* 1/8 (pow x 2)) (+ (* 1/2 x) 1)) (exp (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin x))) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) 0.929 * * [simplify]: iteration 0 : 365 enodes (cost 1009 ) 0.935 * * [simplify]: iteration 1 : 1075 enodes (cost 873 ) 0.957 * * [simplify]: iteration 2 : 5001 enodes (cost 871 ) 0.962 * [simplify]: Simplified to: (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (cos x)) (fma (- (cos x)) 1 (cos x)) (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (cos x)) (fma (- (cos x)) 1 (cos x)) (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (cos x)) (fma (- (cos x)) 1 (cos x)) (- 1.0 (cos x)) (fma (- (cos x)) 1 (cos x)) (- 1.0 (cos x)) (fma (- (cos x)) 1 (cos x)) (- 1.0 (cos x)) (fma (- (cos x)) 1 (cos x)) (- 1.0 (cos x)) (fma (- (cos x)) 1 (cos x)) (- 1.0 (cos x)) (fma (- (cos x)) 1 (cos x)) (- 1.0 (cos x)) (fma (- (cos x)) 1 (cos x)) (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos 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1.0 (cos x)))) (cbrt (- 1.0 (cos x)))) (exp (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x)))) (exp (sqrt (- 1.0 (cos x)))) (exp (/ 1 (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ 1 (sqrt (sin x)))) E (exp (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x)))) (exp (+ (sqrt 1.0) (sqrt (cos x)))) (exp (/ 1 (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ 1 (sqrt (sin x)))) E E (exp (- 1.0 (cos x))) (exp (/ 1.0 (sin x))) (exp (/ (cos x) (sin x))) (/ (- 1.0 (cos x)) (sin x)) (exp (exp (/ (- 1.0 (cos x)) (sin x)))) (* (cbrt (exp (/ (- 1.0 (cos x)) (sin x)))) (cbrt (exp (/ (- 1.0 (cos x)) (sin x))))) (cbrt (exp (/ (- 1.0 (cos x)) (sin x)))) (pow (exp (/ (- 1.0 (cos x)) (sin x))) 3) (sqrt (exp (/ (- 1.0 (cos x)) (sin x)))) (sqrt (exp (/ (- 1.0 (cos x)) (sin x)))) (expm1 (/ (- 1.0 (cos x)) (sin x))) (log1p (/ (- 1.0 (cos x)) (sin x))) (log (/ (- 1.0 (cos x)) (sin x))) (log (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin x))) (pow (/ (- 1.0 (cos x)) (sin x)) 3) (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x)))) (cbrt (/ (- 1.0 (cos x)) (sin x))) (pow (/ (- 1.0 (cos x)) (sin x)) 3) (sqrt (/ (- 1.0 (cos x)) (sin x))) (sqrt (/ (- 1.0 (cos x)) (sin x))) (- (- 1.0 (cos x))) (- (sin x)) (/ 1.0 (sin x)) (/ (cos x) (sin x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (sin x))) (/ (cbrt (- 1.0 (cos x))) (sqrt (sin x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (/ (cbrt (- 1.0 (cos x))) (sin x)) (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) 1 (/ (- 1.0 (cos x)) (sin x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (+ (sqrt 1.0) (sqrt (cos x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) 1 (/ (- 1.0 (cos x)) (sin x)) (/ 1 (sin x)) (/ (sin x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (- 1.0 (cos x)) (/ (sin x) (cbrt (- 1.0 (cos x)))) (/ (sin x) (sqrt (- 1.0 (cos x)))) (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (sin x) (- 1.0 (cos x))) (* (fma 1.0 1.0 (fma (cos x) (cos x) (* 1.0 (cos x)))) (sin x)) (* (sin x) (+ 1.0 (cos x))) (fma (pow x 2) 1/2 (- (* 1/720 (pow x 6)) (* 1/24 (pow x 4)))) (- 1.0 (cos x)) (- 1.0 (cos x)) (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) (fma 1/8 (pow x 2) (fma 1/2 x 1)) (exp (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin x))) (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) 0.963 * * * [progress]: adding candidates to table 1.428 * * [progress]: iteration 4 / 4 1.428 * * * [progress]: picking best candidate 1.461 * * * * [pick]: Picked # 1.462 * * * [progress]: localizing error 1.473 * * * [progress]: generating rewritten candidates 1.473 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2) 1.477 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.496 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.513 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 1.546 * * * [progress]: generating series expansions 1.546 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2) 1.546 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.546 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.546 * [taylor]: Taking taylor expansion of 1.0 in x 1.546 * [taylor]: Taking taylor expansion of (cos x) in x 1.546 * [taylor]: Taking taylor expansion of x in x 1.546 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.546 * [taylor]: Taking taylor expansion of 1.0 in x 1.546 * [taylor]: Taking taylor expansion of (cos x) in x 1.546 * [taylor]: Taking taylor expansion of x in x 1.557 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.557 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.557 * [taylor]: Taking taylor expansion of 1.0 in x 1.557 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.557 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.558 * [taylor]: Taking taylor expansion of x in x 1.558 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.558 * [taylor]: Taking taylor expansion of 1.0 in x 1.558 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.558 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.558 * [taylor]: Taking taylor expansion of x in x 1.561 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.562 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.562 * [taylor]: Taking taylor expansion of 1.0 in x 1.562 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.562 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.562 * [taylor]: Taking taylor expansion of -1 in x 1.562 * [taylor]: Taking taylor expansion of x in x 1.562 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.562 * [taylor]: Taking taylor expansion of 1.0 in x 1.562 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.562 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.562 * [taylor]: Taking taylor expansion of -1 in x 1.562 * [taylor]: Taking taylor expansion of x in x 1.566 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.566 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 1.566 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.566 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.566 * [taylor]: Taking taylor expansion of 1.0 in x 1.566 * [taylor]: Taking taylor expansion of (cos x) in x 1.566 * [taylor]: Taking taylor expansion of x in x 1.566 * [taylor]: Taking taylor expansion of (sin x) in x 1.566 * [taylor]: Taking taylor expansion of x in x 1.569 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.570 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.570 * [taylor]: Taking taylor expansion of 1.0 in x 1.570 * [taylor]: Taking taylor expansion of (cos x) in x 1.570 * [taylor]: Taking taylor expansion of x in x 1.570 * [taylor]: Taking taylor expansion of (sin x) in x 1.570 * [taylor]: Taking taylor expansion of x in x 1.588 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 1.588 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.588 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.588 * [taylor]: Taking taylor expansion of 1.0 in x 1.588 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.588 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.588 * [taylor]: Taking taylor expansion of x in x 1.588 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.588 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.588 * [taylor]: Taking taylor expansion of x in x 1.589 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.589 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.589 * [taylor]: Taking taylor expansion of 1.0 in x 1.589 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.589 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.589 * [taylor]: Taking taylor expansion of x in x 1.589 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.589 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.589 * [taylor]: Taking taylor expansion of x in x 1.595 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 1.595 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.595 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.595 * [taylor]: Taking taylor expansion of 1.0 in x 1.595 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.595 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.595 * [taylor]: Taking taylor expansion of -1 in x 1.595 * [taylor]: Taking taylor expansion of x in x 1.596 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.596 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.596 * [taylor]: Taking taylor expansion of -1 in x 1.596 * [taylor]: Taking taylor expansion of x in x 1.596 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.596 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.596 * [taylor]: Taking taylor expansion of 1.0 in x 1.596 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.596 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.596 * [taylor]: Taking taylor expansion of -1 in x 1.596 * [taylor]: Taking taylor expansion of x in x 1.597 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.597 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.597 * [taylor]: Taking taylor expansion of -1 in x 1.597 * [taylor]: Taking taylor expansion of x in x 1.602 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.602 * [approximate]: Taking taylor expansion of (exp (/ (- 1.0 (cos x)) (sin x))) in (x) around 0 1.602 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos x)) (sin x))) in x 1.602 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.602 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.602 * [taylor]: Taking taylor expansion of 1.0 in x 1.602 * [taylor]: Taking taylor expansion of (cos x) in x 1.602 * [taylor]: Taking taylor expansion of x in x 1.602 * [taylor]: Taking taylor expansion of (sin x) in x 1.602 * [taylor]: Taking taylor expansion of x in x 1.610 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos x)) (sin x))) in x 1.610 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.610 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.610 * [taylor]: Taking taylor expansion of 1.0 in x 1.610 * [taylor]: Taking taylor expansion of (cos x) in x 1.610 * [taylor]: Taking taylor expansion of x in x 1.610 * [taylor]: Taking taylor expansion of (sin x) in x 1.610 * [taylor]: Taking taylor expansion of x in x 1.617 * [approximate]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) in (x) around 0 1.617 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) in x 1.617 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.617 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.617 * [taylor]: Taking taylor expansion of 1.0 in x 1.617 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.617 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.617 * [taylor]: Taking taylor expansion of x in x 1.617 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.617 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.617 * [taylor]: Taking taylor expansion of x in x 1.618 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) in x 1.618 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.618 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.618 * [taylor]: Taking taylor expansion of 1.0 in x 1.618 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.618 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.618 * [taylor]: Taking taylor expansion of x in x 1.618 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.618 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.618 * [taylor]: Taking taylor expansion of x in x 1.633 * [approximate]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) in (x) around 0 1.633 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) in x 1.633 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.633 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.633 * [taylor]: Taking taylor expansion of 1.0 in x 1.633 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.633 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.633 * [taylor]: Taking taylor expansion of -1 in x 1.633 * [taylor]: Taking taylor expansion of x in x 1.633 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.633 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.633 * [taylor]: Taking taylor expansion of -1 in x 1.633 * [taylor]: Taking taylor expansion of x in x 1.634 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) in x 1.634 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.634 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.634 * [taylor]: Taking taylor expansion of 1.0 in x 1.634 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.634 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.634 * [taylor]: Taking taylor expansion of -1 in x 1.634 * [taylor]: Taking taylor expansion of x in x 1.635 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.635 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.635 * [taylor]: Taking taylor expansion of -1 in x 1.635 * [taylor]: Taking taylor expansion of x in x 1.650 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 1.650 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 1.650 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.650 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.650 * [taylor]: Taking taylor expansion of 1.0 in x 1.650 * [taylor]: Taking taylor expansion of (cos x) in x 1.650 * [taylor]: Taking taylor expansion of x in x 1.650 * [taylor]: Taking taylor expansion of (sin x) in x 1.650 * [taylor]: Taking taylor expansion of x in x 1.653 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.653 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.653 * [taylor]: Taking taylor expansion of 1.0 in x 1.653 * [taylor]: Taking taylor expansion of (cos x) in x 1.653 * [taylor]: Taking taylor expansion of x in x 1.653 * [taylor]: Taking taylor expansion of (sin x) in x 1.653 * [taylor]: Taking taylor expansion of x in x 1.671 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 1.672 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.672 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.672 * [taylor]: Taking taylor expansion of 1.0 in x 1.672 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.672 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.672 * [taylor]: Taking taylor expansion of x in x 1.672 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.672 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.672 * [taylor]: Taking taylor expansion of x in x 1.673 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.673 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.673 * [taylor]: Taking taylor expansion of 1.0 in x 1.673 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.673 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.673 * [taylor]: Taking taylor expansion of x in x 1.673 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.673 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.673 * [taylor]: Taking taylor expansion of x in x 1.679 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 1.679 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.679 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.679 * [taylor]: Taking taylor expansion of 1.0 in x 1.679 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.679 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.679 * [taylor]: Taking taylor expansion of -1 in x 1.679 * [taylor]: Taking taylor expansion of x in x 1.679 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.679 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.679 * [taylor]: Taking taylor expansion of -1 in x 1.679 * [taylor]: Taking taylor expansion of x in x 1.680 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.680 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.680 * [taylor]: Taking taylor expansion of 1.0 in x 1.680 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.680 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.680 * [taylor]: Taking taylor expansion of -1 in x 1.680 * [taylor]: Taking taylor expansion of x in x 1.680 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.680 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.680 * [taylor]: Taking taylor expansion of -1 in x 1.680 * [taylor]: Taking taylor expansion of x in x 1.686 * * * [progress]: simplifying candidates 1.696 * [simplify]: Simplifying using # : (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma 1 1.0 (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma 1 1.0 (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma 1 1.0 (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (expm1 (log (exp (/ 1 (/ (sin x) (- 1.0 (cos x))))))) (log1p (log (exp (/ 1 (/ (sin x) (- 1.0 (cos x))))))) (log (* (cbrt (exp (/ 1 (/ (sin x) (- 1.0 (cos x)))))) (cbrt (exp (/ 1 (/ (sin x) (- 1.0 (cos x)))))))) (log (cbrt (exp (/ 1 (/ (sin x) (- 1.0 (cos x))))))) (log (sqrt (exp (/ 1 (/ (sin x) (- 1.0 (cos x))))))) (log (sqrt (exp (/ 1 (/ (sin x) (- 1.0 (cos x))))))) (log 1) (log (exp 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x))) (sqrt 1)) (/ (/ (sin x) (- 1.0 (cos x))) 1) (/ 1 (sin x)) (/ 1 (- (sin x))) (/ 1 1) (/ 1 (/ (sin x) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (/ 1 (/ (sin x) (sqrt (- 1.0 (cos x))))) (/ 1 (/ (sin x) 1)) (/ 1 (/ (sin x) (+ (sqrt 1.0) (sqrt (cos x))))) (/ 1 (/ (sin x) 1)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1 (sqrt (sin x))) (/ 1 1) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) (+ (* 1/8 (pow x 2)) (+ (* 1/2 x) 1)) (exp (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin x))) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) 1.710 * * [simplify]: iteration 0 : 714 enodes (cost 2891 ) 1.723 * * [simplify]: iteration 1 : 2872 enodes (cost 2548 ) 1.761 * * [simplify]: iteration 2 : 5002 enodes (cost 2299 ) 1.773 * [simplify]: Simplified to: 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1.0 (cos x))) (/ (/ 1 (cbrt (/ (sin x) (- 1.0 (cos x))))) (cbrt (/ (sin x) (- 1.0 (cos x))))) (/ 1 (cbrt (/ (sin x) (- 1.0 (cos x))))) (/ 1 (sqrt (/ (sin x) (- 1.0 (cos x))))) (/ 1 (sqrt (/ (sin x) (- 1.0 (cos x))))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (* 1 (cbrt (- 1.0 (cos x)))) (cbrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (- 1.0 (cos x))) (cbrt (sin x))) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1 (/ (cbrt (sin x)) (- (sqrt 1.0) (sqrt (cos x))))) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (sin x))) (/ 1 (/ (sqrt (sin x)) (cbrt (- 1.0 (cos x))))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (/ 1 (/ (sqrt (sin x)) (- (sqrt 1.0) (sqrt (cos x))))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (/ 1 (/ (sin x) (cbrt (- 1.0 (cos x))))) (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) (sin x)) 1 (/ (- 1.0 (cos x)) (sin x)) (+ (sqrt 1.0) (sqrt (cos x))) (/ 1 (/ (sin x) (- (sqrt 1.0) (sqrt (cos x))))) 1 (/ (- 1.0 (cos x)) (sin x)) 1 (/ (- 1.0 (cos x)) (sin x)) (/ 1 (sin x)) (- 1.0 (cos x)) (/ 1 (/ (sin x) (- (pow 1.0 3) (pow (cos x) 3)))) (/ 1 (/ (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0)) 1)) (/ 1 (/ (sin x) (- (* 1.0 1.0) (* (cos x) (cos x))))) (/ 1 (+ 1.0 (cos x))) (/ (/ 1 (cbrt (/ (sin x) (- 1.0 (cos x))))) (cbrt (/ (sin x) (- 1.0 (cos x))))) (/ 1 (cbrt (/ (sin x) (- 1.0 (cos x))))) (/ 1 (sqrt (/ (sin x) (- 1.0 (cos x))))) (/ 1 (sqrt (/ (sin x) (- 1.0 (cos x))))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (* 1 (cbrt (- 1.0 (cos x)))) (cbrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (- 1.0 (cos x))) (cbrt (sin x))) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1 (/ (cbrt (sin x)) (- (sqrt 1.0) (sqrt (cos x))))) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (sin x))) (/ 1 (/ (sqrt (sin x)) (cbrt (- 1.0 (cos x))))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (/ 1 (/ (sqrt (sin x)) (- (sqrt 1.0) (sqrt (cos x))))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (/ 1 (/ (sin x) (cbrt (- 1.0 (cos x))))) (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) (sin x)) 1 (/ (- 1.0 (cos x)) (sin x)) (+ (sqrt 1.0) (sqrt (cos x))) (/ 1 (/ (sin x) (- (sqrt 1.0) (sqrt (cos x))))) 1 (/ (- 1.0 (cos x)) (sin x)) 1 (/ (- 1.0 (cos x)) (sin x)) (/ 1 (sin x)) (- 1.0 (cos x)) (/ 1 (/ (sin x) (- (pow 1.0 3) (pow (cos x) 3)))) (/ 1 (/ (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0)) 1)) (/ 1 (/ (sin x) (- (* 1.0 1.0) (* (cos x) (cos x))))) (/ 1 (+ 1.0 (cos x))) (/ (- 1.0 (cos x)) (sin x)) (/ (sin x) (- 1.0 (cos x))) (/ (/ 1 (cbrt (/ (sin x) (- 1.0 (cos x))))) (cbrt (/ (sin x) (- 1.0 (cos x))))) (/ 1 (sqrt (/ (sin x) (- 1.0 (cos x))))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ 1 (sqrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (/ 1 (sqrt (sin x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (- 1.0 (cos x))) 1 (+ (sqrt 1.0) (sqrt (cos x))) 1 1 (/ 1 (sin x)) (/ 1 (/ (sin x) (- (pow 1.0 3) (pow (cos x) 3)))) (/ 1 (/ (sin x) (- (* 1.0 1.0) (* (cos x) (cos x))))) (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (- 1.0 (cos x))) (/ 1 (sin x)) (/ 1 (- (sin x))) 1 (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sin x)) (/ (sqrt (- 1.0 (cos x))) (sin x)) (/ 1 (sin x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sin x)) (/ 1 (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1 (sqrt (sin x))) 1 (fma (pow x 2) 1/2 (- (* 1/720 (pow x 6)) (* 1/24 (pow x 4)))) (- 1.0 (cos x)) (- 1.0 (cos x)) (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) (fma 1/8 (pow x 2) (fma 1/2 x 1)) (exp (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin x))) (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) 1.775 * * * [progress]: adding candidates to table 2.321 * [progress]: [Phase 3 of 3] Extracting. 2.321 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # #) 2.324 * * * [regime-changes]: Trying 1 branch expressions: (x) 2.324 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # # # # #) 2.390 * * * [regime]: Found split indices: #